Look at the triangle. It is given that CD bisects ACB and that ABC is isosceles with AC = BC.
Answer options for each are:
Line AD = Line BD
Given
CPCTC
Definition of Midpoint
Definition of Angle Bisector
Reflexive Property of Congruence
SAS
SSS
ASA
Answers
1.) Correct Correct
2.) Correct Correct
3.) Correct Correct
4.) Correct Correct
5.) Correct SAS
6.) Correct CPCTC
All statements are correct (probably by default), but reason for 5.) should be SAS and reason for 6.) should be CPCTC
Hope this helps! Please give Brainliest!
Related Questions
Write the equation of the line in point-slope form.
y+6=−2/3(x−10)
y−6=−1/3(x−6)
y+10=−1/3(x−6)
y+10=1/3(x−6)
Answers
The equation of line in point-slope form is y + 7 = -1/2(x - 6).
What is an equation of a line?
The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.
Given points are (2,-5) and (6,-7).
The point-slope form of a line is y - y₁ = m(x - x₁).
The slope of the line that passes through the points (2,-5) and (6,-7) is
(-7 - (-5))/(6 - 2) = -2/4 = -1/2
Putting m = -1/2 and x₁ = 6 , y₁ = -7 in y - y₁ = m(x - x₁):
y - (-7) = -1/2(x - 6)
y + 7 = -1/2(x - 6)
To learn more about point-slope form of a line click on below link:
https://brainly.com/question/28442312
#SPJ1
Find the difference. Enter your answer in the box below as a fraction, using the slash mark ( 1 ) for the fraction bar. 3/5 + 9/19
Answers
Therefore the solution to the difference of fraction comes out to be
12/95
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.
Here,
the given fractions are 3/5 and 9/19
and to find the difference
we take lcm of both denominators
=> 3/5-9/19
=> (3*19-9*5)/5*19
=> (57-45)/95
=> 12/95
Therefore the solution to the difference of fraction comes out to be
12/95
To know more about fraction , visit
https://brainly.com/question/10354322
#SPJ1
how many bit-strings of length 12 contain a) exactly three 1s b) at most three 1s c) at least three 1s d) an equal number of zeros and ones?
Answers
a) Number of bit string = 220
b) Number of bit string = 299
c) Number of bit string = 4017
d) Number of bit string = 924
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
Given:
a) n= 12, r= 3
[tex]^{12}C_3[/tex] = 12! / 3! 9 !
= 12 x 11 x 10 x 9! / 3 x 2 x 9!
= 220
b) n= 12, r ≤ 3
[tex]^{12}C_3[/tex] = 12! / 3! 9 !
= 12 x 11 x 10 x 9! / 3 x 2 x 9!
= 220
[tex]^{12}C_2[/tex] = 12! / 2! 10 !
= 12 x 11 x 10! / 2 x 10!
= 66
[tex]^{12}C_1[/tex] = 12! / 1! 11!
= 12
[tex]^{12}C_0[/tex] = 12! / 0! 12 !
= 12 x 11 x 10 x 9! / 3 x 2 x 9!
= 1
So, total number of bit strings = 220 +66 + 12 +1 =299
c) n= 12, r ≥ 3
[tex]^{12}C_3[/tex] = 12! / 3! 9 !
= 12 x 11 x 10 x 9! / 3 x 2 x 9!
= 220
[tex]^{12}C_4[/tex] = 495
[tex]^{12}C_5[/tex] = 792
[tex]^{12}C_6[/tex] = 924
[tex]^{12}C_7[/tex] = 792
[tex]^{12}C_8[/tex] = 495
[tex]^{12}C_9[/tex] = 220
[tex]^{12}C_{10[/tex] = 66
[tex]^{12}C_{12[/tex] = 12
[tex]^{12}C_{12[/tex] = 1
So, total String= 4017
d) n= 12 and r= 6
[tex]^{12}C_6[/tex] = 12!/ 6! 6!
= 12 x 11 x 10 x 9 x 8 x 7 x 6! / 6! 6!
= 924
Learn more about Combination here:
https://brainly.com/question/28720645
#SPJ1
In the figure, quadrilaterals ABHI, BCDE, and EFGH are squares. Which statement can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH?
Answers
The statement that can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH is of:
D. BE² + BH² = EH².
How to obtain the areas?The area of a square of side length s is given by the side length squared, as follows:
A = s².
Hence the areas of each square on the image given at the end of the answer are given as follows:
Area of ABHI = AB² = BH² = HI² = AI² (all these side lengths are equal).Area of BCDE = BC² = CD² = DE² = EB².Area of EFGH = EH² = HG² = GF² = FE².Hence the correct statement regarding the areas is given as follows:
BE² + BH² = EH².
Meaning that statement D is correct.
Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about the area of an square at https://brainly.com/question/25092270
#SPJ1
Which of the following are the factors of 6x²+5x-6 *?
Answers
Answer:There are no choices but i do this type of work on edge so i could proably do it without the choices.
Step-by-step explanation:Answer would be (3x-2)(2x+3)
3x times 2x would be 6x squared 3x times 3 is 9x -2 times 2x is -4x
9x-4x is 5x and -2 times 3 is -6
Hope this helps:)
HAPPY NEW YEARS
What is the value of m?
Answers
The value of m in the diagram is 18°
What is a right-angle?
A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.
From the diagram, the two angles sum up to 90°
∠WZX + ∠XZY = ∠WZY
3m + 3 + 33 = 90
3m + 36 = 90
3m = 90 - 36
3m = 54
m = 54/3
m = 18°
In conclusion the value of m is 18°
Learn more about right-angles: https://brainly.com/question/24323420
#SPJ1
suppose that the number of miles that a car can run before its battery wears out is exponentially distributed with an average value of 11k miles. (a) what is the probability that the battery lasts between 12k and 14k miles?
Answers
The probability that the battery lasts between 12,000 and 14,000 miles is approximately 0.084.
The number of miles that a car can run before its battery wears out follows an exponential distribution with an average value of 11,000 miles. The probability that the battery lasts between 12,000 and 14,000 miles can be calculated as follows:
P(12,000 < x < 14,000) = P(x < 14,000) - P(x < 12,000)
To calculate the probabilities on the right-hand side of the equation, we can use the formula for the cumulative distribution function (CDF) of an exponential distribution:
F(x) = 1 - e^(-x/λ)
where λ is the mean value of the distribution. In this case, λ = 11,000 miles.
Plugging in the values and solving, we get:
P(12,000 < x < 14,000) = F(14,000) - F(12,000)
= (1 - e^(-14,000/11,000)) - (1 - e^(-12,000/11,000))
= e^(-12,000/11,000) - e^(-14,000/11,000)
≈ 0.242 - 0.158
≈ 0.084
Learn more about Probability at:
brainly.com/question/25870256
#SPJ4
I NEED THIS DONE ASAP PLEASE HELP ME!!!
Answers
The equivalent of the expressions are as follows;
3(3t - 4) - (2t + 10) = 7t - 225(2t + 1) + (-7t + 28) = 3t + 33[tex](4t -\frac{8}{5} ) - (3-\frac{4}{3}t ) = \frac{16}{3}t - \frac{23}{5}[/tex][tex](-\frac{9}{2}t+4 )+(\frac{7}{4}t+33 ) = \frac{25}{4}t+ 37[/tex]How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Two expressions are equivalent if:
They can both be simplified to equivalent expressions.Substituting a value into both expressions results in the same number.Hence, let's simplify the expression to find it equivalent.
Therefore,
3(3t - 4) - (2t + 10)
open the bracket
9t - 12 - 2t - 10
7t - 22
5(2t + 1) + (-7t + 28)
10t + 5 - 7t + 28
3t + 33
[tex](4t -\frac{8}{5} ) - (3-\frac{4}{3}t ) = 4t+\frac{4}{3}t - \frac{8}{5}- 3 = \frac{12t+4t}{3} +\frac{-8-15}{5} = \frac{16}{3}t - \frac{23}{5}[/tex]
[tex](-\frac{9}{2}t+4 )+(\frac{7}{4}t+33 ) = -\frac{9}{2}t+ \frac{7}{4}t + 4 + 33 = \frac{-18t+7t}{4} + 37 = \frac{25}{4}t+ 37[/tex]
learn more on equivalent expression here:https://brainly.com/question/29001991
#SPJ1
The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4
Answers
Therefore, the slope of the line of best fit is 1.4.
Where do I find the average formula?Average By adding a collection of numbers and then dividing by their count, the arithmetic mean—also known as the median—is determined. For instance, 30 divided by 6 equals 5, which is the https://brainly.com/question/24057012of 2, 3, 4, 5, 7, and 10.
To find the slope of the line of best fit, you will need to use the formula:
slope = (mean(x) * mean(y) - mean(x*y)) / (mean(x)^2 - mean(x^2))
where x represents the average daily temperature and y represents the total ice cream sales.
First, you will need to calculate the mean of x, the mean of y, the mean of x*y, and the mean of x^2.
The mean of x is (56.1 + 60.3 + 64.2 + 66.4 + 71.3 + 73.9 + 74.2 + 75.2 + 80.1 + 84.8) / 10 = 71.54
The mean of y is (107 + 116 + 120 + 122 + 125 + 130 + 132 + 135 + 141 + 152) / 10 = 128.6
The mean of xy is (56.1107 + 60.3116 + 64.2120 + 66.4122 + 71.3125 + 73.9130 + 74.2132 + 75.2135 + 80.1141 + 84.8*152) / 10 = 8707.7
The mean of x^2 is (56.1^2 + 60.3^2 + 64.2^2 + 66.4^2 + 71.3^2 + 73.9^2 + 74.2^2 + 75.2^2 + 80.1^2 + 84.8^2) / 10 = 6043.17
Plugging these values into the formula for the slope, we get:
slope = (71.54 * 128.6 - 8707.7) / (71.54^2 - 6043.17) = 1.4
To know more about average visit:
https://brainly.com/question/24057012
#SPJ1
solve the equation.34(2a − 6) 12 = 25(3a 20)a =
Answers
Answer:a=6,25
Step-by-step explanation:
i did the test yesterday
The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
34(2a − 6) + 12 = 25(3a + 20) + a
Simplify the equation, then the value of the variable 'a' is given as,
34(2a − 6) + 12 = 25(3a + 20) + a
68a − 204 + 12 = 75a + 500 + a
68a − 192 = 76a + 500
Simplify the equation further, then the value of the variable 'a' is given as,
76a − 68a = − 192 − 500
8a = − 692
a = − 692 / 8
a = −86.5
The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ12
Calculate 7/12 + 4/20 - 2/6
Answers
Answer:
9/20 or 0.45
Step-by-step explanation:
The least common multiple of 12, 20 and 6 is 60. Reducing the fractions to the denominator 60 we have:
[tex] \bold{ \dfrac{7}{12} + \dfrac{4}{20} - \dfrac{2}{6} = \dfrac{35}{60} + \dfrac{12}{60} - \dfrac{20}{60} } \\ \\ \bold{= \frac{35 + 12 - 20}{60} = \frac{27}{60} = \frac{9}{20} }[/tex]
If any addend is an integer, an I is placed as denominator and the same operation is done.
OK I NEED HELP ASAP IM IN 6th GRADE MATH
A warehouse floor has a perimeter of 1739 feet. What is the perimeter of the floor in yards?
Answers
Answer:
579.67 yards
Step-by-step explanation:
Answer:
≈579.67 yards
Step-by-step explanation:
1. convert feet into yards
1 foot = 1/3 yards
2. use dimensional analysis
[tex]\frac{1739feet}{1}[/tex] * [tex]\frac{1/3 yards}{1 foot}[/tex]
3. multiple straight across
1739 feet * 1/3 yards
answer: ≈579.67 yards
for a standard normal distribution, what is the probability that z is greater than 1.75? a) 0.0401 b) 0.0459 c) 0.4599 d) 0.9599
Answers
For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.
A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.
Using a standard normal table the area to the right of z = 1.75 is given by
P(z > 1.75) = .0401
Therefore, the correct option is a.
To learn more about probability check the link below:
https://brainly.com/question/13604758
#SPJ4
(-12, 14) and (6,-1) in linear equation
Answers
Answer:
y = -5/6 x + 4
Step-by-step explanation:
y = mx + b
m = slope = (-1 - 14)/(6 - (-12)) = -15/18 = -5/6
y = -5/6 x + b
14 = -5/6 × (-12) + b
14 = 10 + b
b = 4
y = -5/6 x + 4
Which point would be a solution to the system of linear inequalities shown below?
y ≥ -3x-4
y > 1/2x-6
1. (-12,10)
2. (-4,7)
3. (-4,8)
4. (-10,10)
Answers
By using graphical method, it can be seen that-
(-4, 8) satisfies the system of inequality
So third option is correct
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤.
A one degree inequation is known as linear inequation.
The system of linear inequation is to be solved graphically
For y ≥ -3x-4
The line passes through (0, -4) and ([tex]-\frac{4}{3}, 0[/tex])
Since (0, 0) satisfies the line, shaded region is towards the origin
Now, as equality is maintained, line is a solid line
The above line is plotted by a red line
For [tex]y \geq \frac{1}{2}x-6[/tex]
The line passes through (0, -6) and (12, 0)
Since (0, 0) satisfies the line, shaded region is towards the origin
Now, as equality is not maintained, line is a dotted line
The above line is plotted by a blue line
From the intersection of two shaded regions, it can be seen that (-4, 8) satisfies the system of inequality
So third option is correct
To learn more about linear inequation, refer to the link-
https://brainly.com/question/25799000
#SPJ1
Elizabeth made a scale drawing of her school's basketball court before devising a winning
strategy for her team. The dimensions of the court are 15 m by 27 m.
Move points to recreate Elizabeth's drawing on the grid below.
Answers
The answer to this question would be 5 by 9.
An elevator can carry 25 adults or 30 children at one time. During the course of a day, the elevator carries a full passenger load 36 times. If all the passengers were children, how many more people would the elevator carry than if all the passengers were adults?
Answers
180 people would the elevator carry than if all the passengers were adults.
What is the meaning of times?
The mathematical symbol is used to represent the multiplication operation and the consequent product. It is often referred to as the times sign or the dimension sign.
Given an elevator can carry 25 adults or 30 children at one time.
One day the elevator carries a full passenger load 36 times.
If the elevator carries all adults, then it carries (25 × 36) = 900 adults.
If the elevator carries all children, then it carries (30 × 36) = 1080 adults.
If all the passengers were children, then the elevator carry more than (1080 - 900) = 180 people if all the passengers were adults.
To learn more about times, click on below link:
https://brainly.com/question/28532873
#SPJ1
Bryan estimate the cost of a vacation to be $730. The actual cost of the vacation is $850. Find the percent error. Round to the nearest whole percent if necessary. Is the percent positive or negative? Explain.
Answers
Answer: 14%
The percentage is positive because the actual cost is a result of the estimated cost increased by 14%
Step-by-step explanation:
Formula
Subtract the actual value from the estimated value
850-730=120
Divide the results from step 1 by the real value
120/850= 0.14117647058*100
Multiply the results by 100 to find the total percentage
0.14117647058*100=14.1176
Round
14%
50 pts if you answer correctly
STATEMENT REASON
1. 1.
2. 2. 3rd Angle Theorem
4. 4.
Answers
G= K (given)
J= M. (given)
HJ= LM (given)
So proved that the GHJ = KLM...
Both the triangle are congruent by AAS(Angle Angle Side) rule...
) what is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?
Answers
The probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.
In the given question,
Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz
We have to find the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher.
Probability that 3 out of 7 randomly chosen processors clocks a speeds of 3.55 or higher is given
p = 0.4247
Now the probability follows a Binomial Distribution with the parameters, n=7 ad p=0.4247
P(X=x) = [tex]^nC_{k}(p)^k(1-p)^{n-k}[/tex]
Now putting the values
P(X=x) = [tex]^7C_{3}(0.4247)^3(1-0.4247)^{7-3}[/tex]
After solving;
P(X=x) = 0.2937
Hence, the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.
To learn more about probability link is here
bbrainly.com/question/29657444
#SPJ4
The write question is:
Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz. The probability that a randomly selected processor clocks a speed of 3.55 or higher is 0.4247.
What is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?
Assume you’ve got poor credit: What would be your APR for purchases or balance transfers?
Answers
Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .
what is APR ?The interest rate you pay on purchases when your credit card balance is still high is known as a purchase annual percentage rate (APR). A credit card's APR, which is applied each month, is an annualized percentage rate.
Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .
To know more about APR visit :-
https://brainly.com/question/14184570
#SPJ1
Directions: Answer all questions in complete sentences and show all work to receiv
full credit. For all parts, please use $1,502.45 as your bi-weekly net pay.
Part 1: Build a Budget (15 points)
A. (10 points) Using the categories and percentages below, create a monthly budge
using the monthly net pay given.
1. Choose a percent within the given range. Make sure when choosing each
percent, that the sum of all categories equals 100%. For example, you decide
you want to spend 20% of your budget on housing. 20% for housing plus eac
percent from all other categories will equal 100%.
2. Then, using the bi-weekly net pay of $1,502.45, calculate, in dollars, the
maximum amount you can spend in each category monthly. (Calculate your
monthly net pay and multiply by your chosen percentage.)
• Housing 25% - 35%: percent chosen =
●
●
●
Food/Household 10% - 20%: percent chosen =
Savings 5%-10%: percent chosen =
• Transportation 15% - 20%: percent chosen =
Debt 5%-15%: percent chosen =
I
Answers
1. The percentages chosen are given as follows:
Housing: 35%.Food/Household: 20%.Savings: 20%.Transportation: 20%.Debt: 5%.2. The maximum amount that can be spent in each category is given as follows:
Housing: $525.86.Food/Household: $300.49.Savings: $150.25.Transportation: $300.49.Debt: $225.37.How to divide the percentages?
The percentages for each of the four applications can be divided in any form, as long as the sum of the five percentages is of 100%.
This is the case for the attributed percentages, as:
35 + 20 + 20 + 20 + 5 = 100.
How to find the maximum amounts?The maximum amounts are found applying the proportions, multiplying the decimal equivalents of the maximum percentages by the bi-weekly net pay of $1,502.45.
Then the amounts in this problem are calculated as follows:
Housing: 0.35 x 1502.45 = $525.86.Food/Household: 0.20 x 1502.45 = $300.49.Savings: 0.10 x 1502.45 = $150.25.Transportation: 0.20 x $1502.45 = $300.49.Debt: 0.15 x 1502.45 = $225.37.More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height. Person right gets brainlyest
Answers
Answer:
3 years
Step-by-step explanation:
Let x = number of years, and let y = height at x years.
Lawson:
Initial height: 14
Annual growth: 3
equation: y = 3x + 14
Ezra:
Initial height: 8
Annual growth: 5
equation: y = 5x + 8
We want to know the number of years, x, when the heights are equal.
y = y
3x + 14 = 5x + 8
-2x = -6
x = 3
What is fg(x) given that f(x) equals x² + 7x and g(x) equals -2x² + 3x-5
Answers
Answer:
[tex] \huge{ \boxed{f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ }}[/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 7x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ g(x) = - 2 {x}^{2} + 3x - 5[/tex]
To find f(g(x)), substitute g(x) into f(x). That is for every x found in f(x) replace it with g(x) and solve.
[tex]f(g(x)) = {( - 2 {x}^{2} + 3x - 5) }^{2} + 7( - {2x}^{2} + 3x - 5) \: \: \: \: \: \: \: \: \: \: \\ \\ = (4 x^4 - 12 x^3 + 29 x^2 - 30 x + 25) + (-14 x^2 + 21 x - 35) \\ = 4 {x}^{4} - 12 {x}^{3} + 29 {x}^{2} - 14 {x}^{2} - 30x + 21x + 25 - 35 \\ \\ = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10[/tex]
We have the final answer as
[tex]f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ [/tex]
If y = x-4, which point corresponds to the location where y = -7? (Hint: Keep in mind that this question gives you the
value of y, not x.)
Answers
Answer:
(- 3, - 7 )
Step-by-step explanation:
given
y = x - 4 ← substitute y = - 7 into the equation and solve for x
- 7 = x - 4 ( add 4 to both sides )
- 3 = x
then point is (x, y ) = (- 3, - 7 )
Answer:
(-3, -7)
Step-by-step explanation:
y=-7
y=x-4
-7 = x - 4 ==> since y=-7 and y=x-4, -7 = x-4
-7 + 4 = x - 4 + 4 ==> solve for x by adding 4 on both sides
-3 = x
x = -3
x=-3, y=-7 ==> (-3, -7)
It’s number 2 pls help
Answers
Answer: -72·a^8·b^9
Step-by-step explanation:
(-8·a^6·b³)(9·a²·b^6)
combine all the like terms:
-72·a^8·b^9
the area of a square flowerbed is 1.21 square yards. what is the length of each side? write your answer as a decimal if necessary.
Answers
The length of each side of the given square is 3.306 yards.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.
It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
In geometry, a square is a flat shape with four equal sides and four right angles (90°).
A square is a unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).
So, we have the area of the square as:
1.21 yards²
Area formula of square: A = s²
Now, calculate to find the length of the square as follows:
A = s²
1.21 = s²
s = 4/1.21
s = 3.306
Therefore, the length of each side of the given square is 3.306 yards.
Know more about a square here:
https://brainly.com/question/25092270
#SPJ4
I need help please I’ll brainlist x
Answers
Answer: 68 seconds
Step-by-step explanation:
Answer: 68sec
Step-by-step explanation:
A stadium has 50,000 seats. Seats sell for $42 in section A, $24 in section B, and $18 in section C. The number of seats in section A equals the total number of seats in sections B and C. Suppose the stadium takes in $1,588,200 from each sold out event. How many seats does each section hold?
Answers
The section A has total seats of, 25000, section B has got 14,700 and section C has got total 10,300 seats.
What is an expression?
Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given equations in the question,
A + B + C = 50,000 (i)
42A + 24B + 18C = 1,588,200 (ii)
A = B + C (iii)
Substitute value of A from (iii) to (i),
2B + 2C = 50000
B + C = 25,000 (iv)
Similarly, substitute value of (iii) in equation (ii),
42 (B +C) + 24B + 18C = 1588200
66B + 60C = 1588200
33B + 30C = 794100 (v)
Multiply 33 in equation (iv) and subtract from (v)
-3C = -30900
C = 10,300 seats.
Now,
B + C = 25000
B = 25000 - 10300
B = 14,700 seats.
And,
A = B + C
A = 10300 + 14700
A = 25000 seats.
To know more about Expression:
https://brainly.com/question/14083225
#SPJ1
Which of tha following describes the graph of a quadratic function? O a. It opens to the right O b. It opens to the left O c. Its axis of symmetry is a vertical line O d. Its axis of symmetry is a horizontal line
Answers
A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.
What does the term "quadratic function" mean?
A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.
The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."
Learn more about quadratic function
brainly.com/question/27958964
#SPJ4
