The value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, cos(315°) and sin(315°).
So, the values are
Simplify the expression.
Exact Form:√2/2
Decimal Form:0.70710678…
sin(315°)
Simplify the expression.
Exact Form: -√2/2
Decimal Form: -0.70710678…
Therefore, the value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.
Learn more about the trigonometric ratios here:
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Devon borrowed $1058 at 13% interest for 9 months what will he pay an interest
Answer:
1058 times 0.13= 137.54 then the Answer= 1237.86
Step-by-step explanation: :0
Please help with this ........
Your answer is that all angles are equal to 66.
Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).
This means we can form an equation because we know what angle 3 and angle 7 are:
2x + 40 = 3x + 27
- 2x
40 = x + 27
- 27
13 = x
Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.
We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.
I hope this helps!
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
Give the slope of the line which is parallel to y=−3x+7 (can you give me the equation?)
Answer:
Slope is -3, equation is y=-3x+b, where b can be any number but not 7.
Step-by-step explanation:
Parallel lines have the same slope, so the slope of a line parallel to this is also -3.
An example of a parallel line to this is y=-3x+2, or y=-3x-4.
Answer:
Step-by-step explanation:
Usually in a problem of this sort you must supply one point through which the new line passes; here you have not yet done that.
Let's suppose that the new line, which is parallel to y=−3x+7, passes through the point (0, 2). Remembering that parallel lines have the same slope, we
write the new line as y = mx + b and replace m with -3; we also replace x with 0 and y with 2:
2 = -3(0) + b. Solving for b, we get b = 2. Thus, the desired equation of the line parallel to y=−3x+7 and passing through (0, 2) is
y = -3x + 2
Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units
Answer: It’s C just did assignment 288unitssquared
if 8% is deducted from the bill,$384 bill remains to be paid. How much is the original bill?
Answer:
$353.28
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
True
Step-by-step explanation:
You should always check just in case a mistake or miscalculation was made. To check, substitute the value you got for the variable into the equation and solve.
For example,
x=2
8x-2=14
Substitute 2 in for x
8(2)-2=14
16-2=14
14=14
Since this is true, we know that 2 is the correct solution.
solve for x. x/4-1/2(6-x)=7x+3(6-2x)-1
Answer:46
Step-by-step explanation:
x/4 - 1/2(6-x)=7x+3(6-2x)-1
x/4 - (6-x)/2=7x+18-6x-1
(x-2(6-x))/2=7x+18-6x-1
(x-12+2x)/2=7x-6x+18-1
(x+2x-12)/2=7x-6x+18-1
(3x-12)/2=x+17
Cross multiply
3x-12=2(x+17)
3x-12=2x+34
Collect like terms
3x-2x=12+34
x=46
Answer:
the answer is -80
Step-by-step explanation:
I WILL GIVE BRAINLYIST IF CORRECT
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
Answer:
Perp≈12.6 ft
Step-by-step explanation:
Since this is a right angled triangle, so we'll use the formula
Hypotenuse ²=base²+ perp²
Where hyp=14 , base=6
14²=6²+perpendicular ²
196= 36 + perp²
Perp²=196-36
Perp ²= 160
Taking sq root on both sides
Perp=12.649
Perp≈12.6 ft
Answer:
The guy above me is right 12.6
Step-by-step explanation:
hope he gets brainlist
Error Analysis The diameter of the circle is 18 m. Eugene incorrectly says that the circumference
of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene
make? Use 3.14 for .
The circumference of the circle is about m.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:56.52m, Eugene used a wrong formula
Step-by-step explanation:
diameter=18m
π=3.14
Circumference of circle=π x diameter
Circumference of circle=3.14 x 18
Circumference of circle=56.52m
Eugene used a wrong formula
Circumference of circle=2 x π x diameter
instead of
Circumference of circle=π x diameter
How do I write parametric equations
Answer:
All answers in this set can be written in the form y=f(x).
Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
B. $424.000
Step-by-step explanation:
The function a(t)=424(1+0.06)
A small company manufactures both large and small grandfather clocks. The company can make no more than 8 clocks a day. They want to build no more than 5 large clocks and no more than 6 small clocks per day. The company makes a profit of $100 on each large clock and $75 on each small clock. The company wishes to maximize its profit.
What is the objective function for this situation?
8 ≥ x + y
8 ≥ 100x + 75y
P ≥ 100x + 75y
P = 100x + 75y
Answer:
P = 100x + 75y
Step-by-step explanation:
The objective is profit, so the objective function is the function that defines profit:
P = 100x + 75y
where x is the number of large clocks made and y is the number of small clocks made per day.
__
Comment on other choices
Inequalities are generally associated with constraints on the manufacturing. Here, those would be ...
0 ≤ x ≤ 5 no more than 5 large clocks0 ≤ y ≤ 6 no more than 6 small clocksx + y ≤ 8 no more than 8 clocks totalThe variables are constrained to be non-negative, because we cannot build a negative number of clocks.
__
To maximize profit in this situation, the maximum possible number of large clocks should be produced, since they are the most profitable. Then the remaining capacity should be used to produce as many small clocks as possible: 5 large clocks and 3 small clocks for a profit of $725 per day.
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes. Based upon the above information and numerically justified, would you be surprised if it took less than one minute to find a parking space?
a. Yes
b. No
c. Unable to determine.
Answer:
a. Yes
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.
In this question:
[tex]\mu = 7, \sigma = 3[/tex]
Would you be surprised if it took less than one minute to find a parking space?
We have to find the z-score when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 7}{3}[/tex]
[tex]Z = -2[/tex]
Since Z = -2, the correct answer is:
a. Yes
Vanessa about 5 feet of ribbon she cut off 36 inches to wrap a package and 18 inches to decorator's scrapbook how much ribbon does Vanessa have left
Answer:
0.5 feet left
Step-by-step explanation:
12 inches = 1 foot
36 inches = ? feet
36 × 1 = 36
12 × ? = 12?
36 = 12?
? = 36/12
? = 3 feet
18 inches = x feet
18/12 = 1.5 feet
3 + 1.5 = 4.5 feet total used
5(total) - 4.5(feet used) = 0.5 feet left
Determine if y = 5 is a solution for 2y = 15.
Answer:
y=5 does not equal 2y=15
Step-by-step explanation:
If you plug y into the equation we get 2(5)=15
The next step is to multiply 2*5, which equals 10
10≠15
Answer:
y=7.5
Step-by-step explanation:
what is 10x + 45 >120
Answer:
[tex]0.75 \: \: \: \: or \: \frac{15}{2} [/tex]
Step-by-step explanation:
[tex]10x > 120 - 45 |collect \: like \: terms| \\ 10x > 75 |simplify \: | \\ \frac{10x}{10} > \frac{75}{10} |divide \: both \: side \: by \: 10 | \\ x > 0.75 \: or \: \frac{15}{2} [/tex]
The cost of 900 shares of stock selling for 57 5/8 is
Answer:
$51,862.50
Step-by-step explanation:
... the product of the number of shares and the price:
(900)($57 5/8) = $51,862.50
Answer:
51 862.5
Step-by-step explanation:
If the share cost 57 5/8 per share
It means 900 share would cost
900 * 57 5/8
900 * 461/8 = 51 862.5
-3b+7=13 solve for b
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation
The null and alternative hypothesis for the tests are:
H0: μ = 20
Ha: μ < 20
Given data:
In this situation, the null and alternative hypotheses can be formulated as follows:
Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.
Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.
In symbolic notation:
H0: μ = 20
Ha: μ < 20
where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.
The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.
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Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t Subscript alpha divided by 2, (b) find the critical value z Subscript alpha divided by 2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 95%, sigma is not known, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown.
Answer:
Neither the normal distribution nor the t distribution applies.
Step-by-step explanation:
Hello!
The histogram attached shows the salary (in dollars) of 63 football players.
As you can see most of the values of this distribution are around 0 and the distribution is extremely asymmetrical (right skewed).
To apply a t-test to study the population average the population has to have a normal distribution.
The same goes for the standard normal distribution, but in this case, considering that the sample is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n), but since the population variance is unknown, this is also not applicable.
The correct choice is the last one, since the conditions to apply the t test and the standard normal are not met.
I hope this helps!
Rewrite the expression 5(2x+1) using the Distributive Property
Answer:
10x+5
Step-by-step explanation:
5(2x+1)
Using distributive property, which is
A(B+C)=(A×B)+(A×C)
=(5×2x)+(5×1)
=10x+5
Hope it helps :)
Which expression shows a way to find 25% of 1000?
Answer:250
Step-by-step explanation:
25% of 1000
25/100 x1000
(25 x 1000)/100
25000/100=250
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150
Answer:
d 150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
what is 60/ 480 ? without calculator
Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
1. Terry made $53
washing cars. She made
some money selling
cookies. In total she has
$67. How much money
did she make selling
cookies?
Answer:
Terry made $14 selling cookies.
Step-by-step explanation:
[tex]67-53=14[/tex]
Answer:
$14
Step-by-step explanation:
She made $14 selling cookies.
$67-$53=$14
solve the equation 3+6= -1x+6
Answer:
x = -3
Step-by-step explanation:
3 + 6 = 9
9 = -1x + 6
-1x = 9 - 6 = 3
x = -3
Answer:
x = -3
Step-by-step explanation:
Josh types the 5 entries in the works cited page of his term paper in random order, forgetting that they should be in alphabetical order by author. What is the probability that he actually typed them in alphabetical order?
Answer:
0.83% probability that he actually typed them in alphabetical order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The number of ways in which n terms can be arranged is given by:
[tex]A_{n} = n![/tex]
Desired outcomes:
Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].
Total outcomes:
We want to arrange 5 entries. So
[tex]T = A_{5} = 5! = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = 0.0083[/tex]
0.83% probability that he actually typed them in alphabetical order.
Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets he can put together so that he can have the same number of oranges in each basket and the same number of grapefruits in each basket?
Answer:
why does it say college even tho this is a question on my homework
Step-by-step explanation:
and i'm in 7th grade.
find four rational number between -1 and -1/2
Answer:
-3/4, -99/100, -7/8, -2/3
Step-by-step explanation:
rational numbers are numbers that can be made by dividing two integers
the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2
