The average temperature during the period from 9am to 9pm is approximately 32.51 degrees Fahrenheit
To find the temperature at 9am, we can simply plug in t=0 into the given function:
T(0) = 30 + 19 sin(0) = 30
So the temperature at 9am is 30 degrees Fahrenheit.
To find the temperature at 3pm, we need to find the value of t that corresponds to 3pm. Since 3pm is 6 hours after 9am, we have t=6:
T(6) = 30 + 19 [tex]sin((pi/12)*6[/tex]) = 30 + 19 s[tex]in(pi/2)[/tex] = 30 + 19 = 49
So the temperature at 3pm is 49 degrees Fahrenheit.
To find the average temperature during the period from 9am to 9pm, we need to find the average value of the function T(t) over the interval [0,12]. We can use the formula for the average value of a function:
avg(T) = (1/(b-a)) * ∫[a,b] T(t) dt
In this case, a=0 and b=12, so we have:
avg(T) =[tex](1/12) * ∫[0,12] (30 + 19 sin(pit/12[/tex])) dt
Integrating term by term, we get:
avg(T) = (1/12)[tex]* (30t - (19/12) *[/tex] ([tex]12cos(pit/12[/tex])) |[0,12]
Evaluating the expression at t=12 and t=0, we get:
[tex]avg(T) = (1/12)[/tex] [tex]* (3012 - (19/12) * (12cos[/tex][tex](pi)) - (300 - (19/12) * (12cos(0))))[/tex]
Simplifying, we get:
[tex]avg(T) = (1/12) *[/tex] (360 + 38.13) = 32.51
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An experiment consists of spinning the spinner shown. All outcomes are equally likely. Find P(>5). Express your answer as a fraction in simplest form.
The probability of getting a number greater than 5 is 1/4, expressed as a fraction in simplest form.
The spinner shown has 8 equal sectors, numbered 1 through 8. Since all outcomes are equally likely, the probability of obtaining any particular outcome is 1/8.
To find the probability of getting a number greater than 5, we need to count the number of favorable outcomes and divide by the total number of possible outcomes.
There are two favorable outcomes are 6 and 8. Therefore, the probability of getting a number greater than 5 is
P(>5) = favorable outcomes / total outcomes
= 2/8
= 1/4
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-- The given question is incomplete, the complete question is given below
"An experiment consists of spinning the spinner shown. All outcomes are equally likely. Find P(>5). Express your answer as a fraction in simplest form."
Addisonisasalesperson.Shesoldacoatfor$75andearned10%commission.HowmuchcommissiondidAddisonearn?
Which ordered pairs represent points on the graph of this equation? Select all that apply.
–5/6x=y+1/6
(-5,4)
(-7,5)
(0,2)
(6,7)
(-5,-6)
(1,-1)
Answer:
(1,-1)
Step-by-step explanation:
Substituting the given point into the equation
[tex]-5/6x=y+1/6\\-5/6(1) = -1 + 1/6\\-5/6 = -5/6[/tex]
the national center for health statistics (nchs) report published in 2005 entitled health, united states indicated that in 2002 americans paid an average of $3,302 per year on health care and prescription drugs. researchers hypothesized that in 2005 average expenditures decreased primarily due to the availability of generic drugs. 100 americans were sampled and their expenditures on health care and prescription drugs in 2005 recorded. the sample data are: n
The analysis of the sample data (n=100) would help understand the impact of generic drugs on healthcare and prescription drug costs in the United States.
To understand how the availability of generic drugs may have affected the average expenditures on healthcare and prescription drugs in 2005, according to the National Center for Health Statistics (NCHS) report.
In 2002, Americans paid an average of $3,302 per year on healthcare and prescription drugs, as stated in the NCHS report titled "Health, United States." Researchers hypothesized that by 2005, the average expenditures would decrease primarily due to the increased availability of generic drugs. To test this hypothesis, a sample of 100 Americans was taken, and their expenditures on healthcare and prescription drugs in 2005 were recorded.
The sample data (n=100) would then be analyzed to determine if there was a significant decrease in average expenditures compared to the 2002 average of $3,302. This analysis would help understand the impact of generic drugs on healthcare and prescription drug costs in the United States.
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Which graph best represents the function
f(x)=-3^x-2
The correct graph of function f(x) =-3ˣ - 2 is shown in option 4.
We have to given that;
Function is,
⇒ f(x) = -3ˣ - 2
Now, In option 4;
Take a point (0, - 3) into function as;
Plug x = 0, y = - 3;
⇒ f(x) = -3ˣ - 2
⇒ - 3 = - 3⁰ - 2
⇒ - 3 = - 1 - 2
⇒ - 3 = - 3
Thus, The correct graph of function f(x) =-3ˣ - 2 is shown in option 4.
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You have a combination lock that has the numbers 1-40 on the dial. You
forgot the combination, but you remember that the combination is three
numbers, the last digit of all three numbers is 6, and none of the numbers
are between 1 and 10. You make a random guess with what you know.
What is the probability that you will get the combination?
Answer:
1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)
Step-by-step explanation:
The first digit can be any of the numbers between 10 and 40, except for those that end in 6 (since the last digit of all three numbers is 6). This leaves us with 30 numbers to choose from for the first digit. Similarly, the second digit can be any of the numbers between 10 and 40, except for those that end in 6 and the one chosen for the first digit. This leaves us with 29 numbers to choose from for the second digit.
For the third digit, we have only one option since we know it ends in 6.
So the total number of possible combinations is:
30 * 29 * 1 = 870
Out of these, only one combination is the correct one. Therefore, the probability of guessing the combination correctly on the first try is:
1/870 ≈ 0.0011494 or about 0.115% (rounded to 6 decimal places)
Clark finds that in an average month, he spends $35 on things he really doesn't need and can't afford. About how much does he spend on these items in a year?
Clark would spend about $420 on these items in a year.
Given that Clark finds that in an average month, he spends $35 on things he really doesn't need and can't afford.
If Clark spends $35 on things he doesn't need or can't afford in an average month, then he would spend:
$35/month x 12 months/year = $420/year
Therefore, Clark would spend about $420 on these items in a year.
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Find the value of sin N rounded to the nearest hundredth, if necessary
The value of the identity sin N = 3/5
How to determine the valueTo determine the value of the identity, we need to know the different trigonometric identities. These identities are;
cosinesinetangentcotangentsecantcosecantFrom the information given, we have that;
The angle of the triangle is N
The opposite side of angle N is 3
The hypotenuse side of angle N is 5
Using the sine identity, we have;
sin N = 3/5
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FILL IN THE BLANK. Let y=tan(4x + 6). = Find the differential dy when x = 4 and dx = 0. 2 ____ Find the differential dy when x = 4 and dx = 0. 4 = ____ Let y = 3x² + 5x +4. - Find the differential dy when x = 5 and dx = 0. 2 ____ Find the differential dy when x = 5 and dx = 0. 4 ____ Let y=4√x. Find the change in y, ∆y when x = 2 and ∆x = 0. 3 ____ Find the differential dy when x = 2 and dx = 0. 3 ____
The differential dy for y = tan(4x + 6) when x = 4 and dx = 0.2 is 3.22, the differential dy for y = 3x² + 5x + 4 when x = 5 and dx = 0.2 is 30.20, and the change in y [tex]∆y[/tex] for y = [tex]4√x[/tex] when x = 2 and[tex]∆x = 0.3 is 0.848[/tex].
To find the differential of a function, we use the derivative, which is defined as the limit of the ratio of the change in y to the change in x as the change in x approaches zero. The differential dy is then given by the product of the derivative and the change in x, or simply dy = f'(x) dx.
For the function y = tan(4x + 6), we can find the derivative as follows: f'(x) = sec²(4x + 6) * 4 = 4 sec²(4x + 6) Substituting x = 4 and dx = 0.2, we get: dy = f'(4) * 0.2 = 4 sec²(22) * 0.2. Rounding to two decimal places, we get dy = 3.22.
For the function y = 3x² + 5x + 4, we can find the derivative as follows: f'(x) = 6x + 5 Substituting x = 5 and dx = 0.2, we get: dy = f'(5) * 0.2 = 6(5) + 5 * 0.2 Rounding to two decimal places, we get dy = 30.20.
For the function y = [tex]4√x[/tex], we can find the derivative as follows: f'(x) = 2/√x Substituting x = 2 and[tex]∆x = 0.3[/tex], we get: ∆y = f'(2) *[tex]∆x = 2/√2 * 0.3 = 0.848[/tex] Rounding to three decimal places, we get [tex]∆y = 0.848[/tex].
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determine if the following statements are true or false and explain your reasoning for statements you identify as false if the null hypothesis that the means of four groups are all the same is rejected using anova at a 5% significance level, then... a. (5 points) we can then conclude that all the means are different from one another. b. (5 points) the standardized variability between groups is higher than the standardized variability within groups. c. (5 points) the pairwise analysis will identify at least one pair of means that are significantly different.
The given null hypothesis statement a. true, statement b. true and finally statement c. true.
a. False. Rejection of the null hypothesis using ANOVA only tells us that at least one group mean is different from the others, but it doesn't necessarily mean that all means are different from each other. Additional post-hoc tests, such as Tukey's HSD or Bonferroni, are needed to identify which specific means are different from each other.
b. True. If the null hypothesis is rejected using ANOVA, it means that there is significant variability between the groups. This variability is measured by the F-statistic, which is the ratio of between-group variability to within-group variability. A high F-statistic indicates that the standardized variability between groups is higher than the standardized variability within groups.
c. True. If the null hypothesis is rejected using ANOVA, it means that there is at least one significant difference between the means of the groups. Pairwise comparisons can be conducted using post-hoc tests to identify which specific pairs of means are significantly different. However, it's important to adjust the significance level for multiple comparisons to avoid making Type I errors.
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Nick worked 6 hours today and earned a total of $54. What is Nick's hourly wage? Equation_______Nick earns______per hour.
The amount that is Nick's hourly wage would be = $9.
How to calculate tye amount of money that Nick earns hourly as a wage?The total number of hours that Nick works a day = 6 hours
The total amount of money that Nick earned for those hours = $54
That is;
6 hours = 54
1 hours = X
Mark X the subject of formula;
X = 54/6
= $9
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When a $10 check written on the First National Bank is deposited in an account at the Second National Bank, then A) the liabilities of the First National Bank decrease by $10. B) the reserves of the First National Bank increase by $10. C) the liabilities of the Second National Bank decrease by $10. D) the assets of Second National Bank decrease by $10.
When a $10 check written on the First National Bank is deposited in an account at the Second National Bank, the correct option is C) the liabilities of the Second National Bank decrease by $10. This is because the Second National Bank's liability to the account holder increases by $10, while its liability to the First National Bank decreases by $10. However, none of the other options are correct.
Option A) is incorrect because the liabilities of the First National Bank do not decrease as a result of the check being deposited in the Second National Bank. The liability of the First National Bank to the account holder is transferred to the Second National Bank.
Option B) is incorrect because the reserves of the First National Bank do not increase by $10 when the check is deposited in the Second National Bank. Reserves refer to the amount of money that banks hold in order to meet their depositors' demands for cash withdrawals. When the check is deposited in the Second National Bank, the reserves of the First National Bank remain the same.
Option D) is incorrect because the assets of the Second National Bank do not decrease by $10 when the check is deposited. The asset of the Second National Bank increases by $10 due to the deposit of the check.
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a. The number of people initially affected is.
b. how many people were ill by the end of the fourth week
c. What is the limiting size of the population of becomes ill?
Where the logistic growth function is f( t) = 116000/(1+5200e⁻t)
a) 22 people were initially affected
b) after 4 weeks the numbers increased to 1,205 approximately
c) the limiting size of the population that becomes ill is 116,000.
What is a logistic growth function?The logistic equation (also known as the Verhulst model or logistic growth curve) is a population growth model developed by Pierre Verhulst (1845, 1847).
a) since when the epidemic began, the initial number of infection will always be zero, thus:
f( t) = 116000/(1+5200e⁻t )
Note that e is the mathematical constant known as Euler's number or the natural base. e = 2.71828
f(0) = 116000/(1+5200e⁻0 )
f(0) = 116000/(1+5200 (2.71828)⁻0 )
f(0) = 116000/(1+5200 (1) )
f(0) = 116000/(1+5200 )
f(0) = 116000/(5201 )
f(0) = 22.3034031917
f (0) [tex]\approx[/tex] 22
B) by the fourth week,
the expression became f(4) = 116000/(1+5200e⁻4 )
f (4) = 116000 /(1+5200 (e)⁻4 )
f (4) = 1205.30347384
f (4) [tex]\approx[/tex] 1205
C)
Since the logistic curve is given as....
f(t) = 116000/(1+5200e⁻t )
as t becomes smaller and smaller nearing 0, the denominator will be almost 1
So
f(t) = 116000/(1+5200e⁻ ∞ )
f(t) = 116000/(1+0 )
f(t) = 116,000
As you can see, the limit to the size of the population that can fall ill is 116,000 peple.
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√175x²y³ simplify radical expression
Answer:
[tex] \sqrt{175 {x}^{2} {y}^{3} } = \sqrt{175} \sqrt{ {x}^{2} } \sqrt{ {y}^{3} } = \sqrt{25} \sqrt{ {x}^{2} } \sqrt{ {y}^{2} } \sqrt{7} \sqrt{y} = 5xy \sqrt{7y} [/tex]
Find the area of polygon A
A: 4
B: 160
C: 80
D: 20
The table represents some points on the graph of a linear function. x f(x) −6 −5 −2 −2 2 1 6 4 10 7 Which equation represents the same relationship? A.3x−4y=5 B.4x−3y=−2 C.4x−3y=5 D.3x−4y=2
The equation that represents the same relationship is D. 3x−4y=2
How to explain the equationIt should be noted that the equation of the line in slope-intercept form is:
y = (3/4)x - 1/2
Multiplying both sides of this equation by 4 to eliminate the fraction, we get:
4y = 3x - 2
Rearranging this equation to the standard form, we get:
3x - 4y = 2
Therefore, the answer is D. 3x - 4y = 2.
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What proportion can be used to find 65% of 200
the answer to your question is 130
A water tanks holds 204 gallons but id leaking at a rate of 3 gallons per week. A second water tank holds 306 gallons but id leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
51 weeks
Step-by-step explanation:
Let y represent the total amount of water and w represent the number of weeks. We have the equation for each tank below
First tank: y = 204 - 3w
Second tank: y = 306 - 5w
After how many weeks will the amount of water in the two tanks be the same?
204 - 3w = 306 - 5w
204 + 2w = 306
2w = 102
w = 51 weeks
So, after 51 weeks, the amount of water in the two tanks will be the same.
Assignment Booklet 5 2 thematics 30-2 2. Solve each equation and identify the non-permissible values. Record the answers as exact values (no decimals!) harks) 2. a. 1 + X 4 х 1 b. 3n-1 3n +6 + 2 n
The non-permissible values are any values of n that would make the original equation undefined. In this case, there are no such non-permissible values.
a.
The given equation is:
[tex]1 + x^4 = x[/tex]
Rearranging terms, we get:
[tex]x^4 - x + 1 = 0[/tex]
To solve this equation, we can use the quartic formula:
x = [ -b ± sqrt( b^2 - 4ac ) ] / 2a
Here, a = 1, b = -1, and c = 1, so we have:
x = [ -(-1) ± sqrt( (-1)^2 - 4(1)(1) ) ] / 2(1)
x = [ 1 ± sqrt( -3 ) ] / 2
Since the discriminant is negative, the solutions are complex:
x = [ 1 ± i*sqrt(3) ] / 2
Therefore, the non-permissible values are any values of x that would make the original equation undefined. In this case, there are no such non-permissible values.
b.
The given equation is:
3^(n-1) / (3^n + 6) + 2^n = 0
To solve for n, we can start by simplifying the first term:
3^(n-1) / (3^n + 6) = 3^(-1) / (1 + 2*3^(-n))
Substituting this into the original equation, we get:
3^(-1) / (1 + 2*3^(-n)) + 2^n = 0
Multiplying both sides by (1 + 23^(-n)), we get:
3^(-1) + 2^n(1 + 2*3^(-n)) = 0
Simplifying, we get:
2^n + 2*3^(n-1) = 0
Dividing both sides by 23^(n-1), we get:
(1/2)(1/3)^n + 1 = 0
Multiplying both sides by -2 and taking the logarithm of both sides, we get:
n = log(2/3) / log(3) - log(2)
Therefore, the solution is:
n = log(2/3) / log(3) - log(2)
The non-permissible values are any values of n that would make the original equation undefined. In this case, there are no such non-permissible values.
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What is the value of the sin 87?
Which of these is a correct expansion of (3x – 2)(2x2 + 5)?
A. 3x • 2x2 + 3x • 5 + (–2) • 2x2 + (–2) • 5
B. 3x • 2x2 + 3x • 5 + 2 • 2x2 + 2 • 5
C. 3x • 2x2 + (–2) • 2x2 + 2x2 • 5 + (–2) • 5
The correct expansion of (3x – 2)(2[tex]x^2[/tex] + 5) is 3x * 2[tex]x^2[/tex] + 3x * 5 + (–2) * 2[tex]x^2[/tex] + (–2) * 5. Thus option A is the most appropriate option as the answer the above question
The expansion of the given algebraic expression follows the distributive rule of multiplication that is (a + b)(c + d) = ac + ad + bc + bd.
Thus the first term of the first expression which is 3x is multiplied by the the second expression and we get 3x • 2[tex]x^2[/tex] + 3x • 5 + (–2)
Then the second term that is -2 is multiplied by the second expression and we get 5 + (–2) • 2[tex]x^2[/tex] + (–2) • 5
Then we add both expressions and get the answer 3x * 2[tex]x^2[/tex] + 3x * 5 –2 * 2[tex]x^2[/tex] –2 * 5.
After further simplification of the above expression we get, 6[tex]x^3[/tex] + 15x - [tex]4x^2[/tex] - 10.
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Bob had $110 in his bank account before writing a check to invest in his next big adventure. After writing the check, Bob found that he had a balance of -$24 in his account. How much money was on the check Bob wrote?
Show steps
$134
$110+$24=$134
if Bob had 110 in his account and found he had a -24 balance, you would need to add the two together to find the check amount written.
A housewife spent 3/7 of her money in the market and 1/2 of the reminder in the shop. what fraction of her money is left?
Answer:
1/7
Step-by-step explanation:
7/7-3/7=4/7
[tex]\frac{4}{7} /2[/tex]=2/7
4/7+2/7=6/7
7/7-6/7=1/7
So the housewife has 1/7 of the money left
A chain saw requires 5 hours of assembly and a wood chipper 2 hours. A maximum of 20 hours of assembly time is
available. The profit is $190 on a chain saw and $210 on a chipper. How many of each should be assembled for
maximum profit?
An assembly time, chain saw requires 5 hours of assembly and a wood chipper 2 hours. From linear programming for maximum profit, number of chain saw assembled are 0 and number of wood chipper are 10.
This problem is related to the topic of linear programming. We use a graphical method to solve the equation. To determine the maximum profit we write the equation of profit. Let we consider x chain saw and y wood chipper. We have a chain saw requires 5 hours of assembly. But wood chipper require 2 hours of assembly. Maximum hours of assembly time available = 20 hours
So, 5x + 2y ≤ 20 --(1) and x ≥ 0, y≥ 0
Profit of chain saw = $190
Profit on wood chipper = $210
Maximize profit, Max Z = 190x + 210y
Now, using graphical method, draw a graph is present in above figure. To determine the profit at point A and B
At point A( 0, 10)
Z = 190 ×(0)+ 210× (10) = 2100 --(1)
At point B(5,0)
Z = 190×(5)+230×(0) = 950 --(2)
Clearly from equation (1), maximum profit is at point A, number of chain saw assembled are 0 and number of wood chipper arre 10.
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Consider the following problem. Maximize Z = 2x1 + 5x2 + 3x3 subject to x1 - 2x2 + x3 ≥ 20 2x1 + 4x2 + x3 = 50 and x1≥0. x2 ≥0 x3≥0
(a) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (b) Work through the simplex method step by step to solve the problem. (c) Using the two-phase method, construct the complete first simplex tableau for phase 1 and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (d) Work through phase 1 step by step. (e) Construct the complete first simplex tableau for phase 2. (f) Work through phase 2 step by step to solve the problem. (g) Compare the sequence of BF solutions obtained in part (b) with that in parts (d) and (1). Which of these solutions are feasible only for the artificial problem obtained by introducing artificial variables and which are actually feasible for the real problem? (h) Use a software package based on the simplex method to solve the problem.
The new basis is x₂, x₄, and x₆, with a non-artificial cost of 3x₂ - M/2x₃ + M/2.
What is inequalities?
In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).
(a) Using the Big M method, we first rewrite the constraints in standard form by introducing slack variables x₄ and x₅ as follows:
x₁ - 2x₂ + x₃ + x₄ = 20
2x₁ + 4x₂ + x₃ + x₅ = 50
We then introduce artificial variables x₆ and x₇ to handle the inequalities in the first constraint as follows:
x₁ - 2x₂ + x₃ + x₄ - x₆ = 20
2x₁ + 4x₂ + x₃ + x₅ + x₇ = 50
We can now construct the initial simplex tableau as follows:
BV x₁ x₂ x₃ x₄ x₅ x₆ x₇ RHS
x₄ 1 -2 1 1 0 0 0 20
x₅ 2 4 1 0 1 0 0 50
x₆ 1 -2 1 0 0 1 0 20
x₇ 2 4 1 0 0 0 1 50
Zj-Cj -M M -M 0 0 M M 0
where BV denotes the basic variables, RHS denotes the right-hand side coefficients, and Zj-Cj denotes the relative profits or costs. We set M to a large positive number (e.g., M=1000) to penalize the artificial variables. The initial artificial basic feasible solution is x₄ = 20, x₅ = 50, x₆ = 20, x₇ = 0, with an artificial cost of Mx₆ + Mx₇ = 2000.
The initial entering basic variable is x₂, which has the most negative relative profit of -M. To determine the leaving basic variable, we compute the minimum ratio test for each row:
x₁: 20/1 = 20
x₂: 50/4 = 12.5
x₆: 20/1 = 20
x₇: 50/4 = 12.5
The minimum ratio is 12.5 for x₂ and x₇, which means either of these variables can leave the basis. Since x₇ has a higher index, we choose it to leave the basis. To perform the pivot operation, we divide row 3 by 2 and subtract 2 times row 1 from it:
BV x₁ x₂ x₃ x₄ x₅ x₆ x₇ RHS
x₄ 0 -2 0 -1 0 1 0 0
x₅ 0 8 0 2 1 0 0 50
x₂ 1 -2 1 0 0 0.5 -0.5 10
x₁ 0 8 -1 0 0 -0.5 0.5 10
Zj-Cj -M 3 -M/2 0 0 M/2 -M/2 2000
The new basis is x₂, x₄, and x₆, with a non-artificial cost of 3x₂ - M/2x₃ + M/2.
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An architect makes a blueprint for a custom-built house, the customer requests that the room under the roof is constructed at maximum volume. What dimensions for this room should the architect put on his blueprint if the length of the house is 100 feet, the width is 40 feet and the height of the space under the roof is 16 feet?
The length and width of the room should be 50 feet, and the height should be 16 feet, in order to maximize the volume.
We have,
Volume = Length x Width x Height
Since we want to maximize the volume, we need to make the length, width, and height of the room as equal as possible.
So,
Length = Width
Now we can substitute the given values into the formula and solve for the dimensions of the room:
Volume = Length x Width x Height
Volume = (Length)² x Height
Volume = (Length)² x 16 (since the height of the room is 16 feet)
Volume = 16 (Length)²
The length of the house is 100 feet, and we have set the length and width of the room to be equal, so:
Length + Width = 100
Length + Length = 100
2 Length = 100
Length = 50
Therefore,
The length and width of the room should be 50 feet, and the height should be 16 feet, in order to maximize the volume.
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A cube of side 5 is built with black and white cubes of side 1, so that the cubes next to each other have different colors and the corner cubes are black, as shown in the figure. How many white cubes were used?
Answer: 62
Step-by-step explanation:
top row has 12
the next row has 1 more =13
and it alternates
12+13+12+13+12=62
A windowpane is 15 inches by 8 inches. What is the distance between opposite corners of the windowpane?
The distance between the opposite corners of the windowpane would be 17 inches.
How to find the distance ?If the windowpane is divided diagonally, we see that the distance between the opposite corners can be be the hypotenuse of a right angle triangle.
This allows us to use the Pythagorean theorem to find that distance between opposite sides. The distance is:
d ² = 15 ² + 8 ²
d ² = 225 + 64
d ² = 289
d = √ 289
d = 17 inches
In conclusion, the distance between the opposite corners is 17 inches.
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How many students were in the sample?
Responses
10
10
20
20
15
15
11
11
Answer:
The answer to your problem is, B. 20
Step-by-step explanation:
Well by looking at the graph we can tell that it is not labeled so we will go to our estimate which is on the left side
2 + 3 + 4 + 5 + 6 = 20
Which we can look at our options and see we have a 20.
Thus the answer to your problem is, B. 20
complete the division equation. How many times does jack need to fill the glass?
Answer:
Alot
Step-by-step explanation:
Think abt it
