Find sinθ and tanθ if cosθ=13/85, assuming that 0≤θ<π/2

Answers

Answer 1

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation: I hope this helps!

Answer 2

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation:


Related Questions

Jack mails 10 packages that each weigh the same amount. If the combined weigh of all 10 package is 67 1/2 pounds, how much does one package weigh? Show your work.​

Answers

The answer is 6.75, I hope this helped

Evaluate 4c - 5 for c = -3

Answers

Answer:

-17

Step-by-step explanation:

Substituting c=-3

4*-3-5

=-12-5

=-17

Answer:

-17

Step-by-step explanation:

4c - 5

4(-3) -5

-12 -5

-17

Daisy's Flower Shop sold 135,643 flowers during its first year. The second year, the shop sold 9,756 more flowers than it did its first year. The third year, it sold 1,345 more flowers than it did in the second year.

How many flowers did the shop sell during the three years?

Daisy's Flower Shop sold flowers during the three years.

Answers

Answer:

427,786 Flowers

Step-by-step explanation:

135, 643 + 9,756 = 145,399

145, 399 + 1,345 = 146,744

135,643 + 145,399 = 281,042 + 146,744 = 427,786

Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.
a. How much do 2 packs of diet cola cost?
b. How much does 1 pack of diet cola cost?​

Answers

Answer:

A would most likeley be the answer because when you divide 10 from 4 you get 2.50

Step-by-step explanation:

hope i could help.

Drag each angle measure to the correct location. Each angle measure can be used more than once.
In the figure, two parallel lines are cut by a transversal. Two of the angles are labeled. Find the measures of the other angles and label them.

Answers

Answer:

[tex]4 > {47 + 1 = fs \cos( \cos(34 + \sqrt[33]{?} ) ) \times \frac{?}{?} }^{?} [/tex]

ok I hope it's good answer

Answer: there u go i hope it helps

Step-by-step explanation:

PLEASE ANSWER THIS ASAP

Answers

Answer:9a-2

Step-by-step explanation: see photo

with what number we should multiples -9/28,so that the product be -24/49​

Answers

Nxncbxbxbxbcbxbxbdbhxhxhxhxbxbxbxbxbxhxhxhxhcbcbdnfhchchchxxhhxhxhxhxhxbxbxbxnxnxjx

16x-5=5+11x I really dont get these

Answers

Answer:

x = 2

Step-by-step:

16x - 5 = 5 + 11x

16x - 11x = 5 + 5

5x = 10

/5     /5

x = 2

Good Luck

Answer: x=2

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

In a New York coupon experiment, the experiment was conducted to test the effects of the face value of coupons on the likelihood of coupon redemption. Subjects were randomly assigned to 2 treatment groups. One group was offered 15-cent coupons and the other 50-cent coupons for four products. During the interviews, the respondents answered questions about which brands they used and how likely they were to cash coupons of the given face value the next time they shopped. In the preceding experiment, the dependent variable that was ________.

Answers

Answer:

The correct approach will be "the likelihood of cashing the coupon".

Step-by-step explanation:

That what's being examined as well as calculated throughout the experiment or observational study seems to be the dependent variable (almost always widely recognized as that of the responding variable). As a consequence of the modifications to something like the independent variable, that's what modifications.  Whether large you are really at various ages would be an illustration of some kind of dependent variable.

1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4

Answers

Answer:

7.2 is larger than 72×10-4 and this is also larger than 00.72

PLEASE HELP!! WILL GIVE BRAINLIEST + 25 POINTSS



What is the value of r?

1.9r+0.1r=0.6

Enter your answer as a decimal in the box.

Answers

Answer:

0.3

Step-by-step explanation:

1.9r + 0.1r = 0.6

Add like terms on the left side.

2r = 0.6

Divide both sides by 2.

r = 0.3

Answer:

3.333 continued

Step-by-step explanation:

Add 1.9r and .1r because they are like terms and you get 2r

Divide 2/.6

r = 3.3333

Six hundred and eight thousandths as a decimal

Answers

600.008 (why does this need to be 20 things long)

Given this linear system:

2x - 2y + 6z = 76

4x - y + 10z = 127

-x + 2y - 4z = -50

Which of the following is the augmented matrix for this system?

Answers

Answer:a

Step-by-step explanation:

Answer:

A

next one:

D and D

just did the warm-up

Find the mistake in the problem. tell what is is.
6th grade math ​

Answers

He / she didn’t drop down the 2 after subtracting 19 from 242, instead he / she dropped down a 0.

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant of proportionality? (4 points)

Answers

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased. At a 5% significance level, the decision is to ________.

Answers

Answer:

Step-by-step explanation:

Given that:

The population proportion = 8.1% = 0.081

Sample size = 1000

The sample proportion [tex]\hat p[/tex] = 6.5%  = 0.065

The null and the alternative hypothesis for these studies can be computed as:

[tex]\mathbf{H_o : p = 0.081} \\ \\ \mathbf{H_1 : p \neq 0.081}[/tex]

Since [tex]H_1[/tex] is not equal to the population proportion; then this is a two-tailed test.

The level of significance is given as 5% = 0.05

The standard error [tex]\sigma_p[/tex] of the sample proportion [tex]\hat p[/tex] can be computed as:

[tex]\sigma_p = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.081(1-0.081)}{1000} }[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.081(0.919)}{1000} }[/tex]

[tex]\sigma_p = 0.0086[/tex]

The z score test statistic is calculated as:

[tex]z =\dfrac{\hat p - p}{\sigma_p}[/tex]

[tex]z =\dfrac{0.065- 0.081}{0.0086}[/tex]

z = −1.860

For a two-tailed test, the p-value = [tex]2 \times P(Z < -|z|)[/tex]

[tex]p-value = 2 \times P(Z < - 1.86)[/tex]

p-value = 2 × 0.0314

p-value = 0.0628

Rejection Criteria: To reject [tex]H_o[/tex] ; if the p-value is less than the level of significance ∝

The decision rule: We failed to reject the null hypothesis since the p-value is greater than the level of significance ∝.

Thus, there is insufficient evidence to conclude that p is not equal to 0.081

7. Write three different fractions equivalent to 3/4. Explain how you know they are
equivalent.
Your answer

Answers

Three different fractions that are equivalent to 3/4 are 6/8, 9/12, and 12/16. I know that these fractions are equivalent because If you simplify them they all equal 3/4. I hope this helps!

The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. ​(a) Construct an ordered​ stem-and-leaf plot and ​(b) describe the shape of the distribution. ​
(a) Construct the ordered​ stem-and-leaf plot below.
0 A vertical line used to separate stems and leaves.
01234
​(b) The distribution is _______
skewed right.
bell-shaped.
uniform.
skewed left.
Enter your answer in each of the answer boxes.

Answers

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the question some data is missing, which is defined in the attached file please find it.

The table for point a:

plot for the Stem-and-leaf:

0             3    4    5     7                                         4

1              2    2    4    4   5   7     7                        7

2             0    3    4     4   5   8                              6

3              3    4    7     9                                        4  

4               1  

In point b:

Its distributed skewed is correct because in its points 1 is a tail on its right side.

please find the attached file.

Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour?

A 1/9

B 1/4

C 9

D 4

Answers

Answer:

0.25 or 1/4 is the answer

Step-by-step explanation:

(1/6)/(2/3) = 1/6 * 3/2 = 3/12 = 1/4

Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof.

Answers

Answer:

Sine of the Angle = opposite / hypotenuse

Sine Angle = 22.8 / 24

Sine Angle = .95

Angle = arc sine (.95)

Angle =  71.805 degrees

Angle = 71.8 (rounded)

Step-by-step explanation:

Answer:

71.8

Step-by-step explanation:

Divide. Write your answer in simplest form.
-8/9 ÷ (-8/9)

Answers

Answer: 1

Step-by-step explanation:

Keep Flip Change

-8/9 x -9/8

Cross simplify and you’ll get 1 since when you simplified its -1/1 x -1/1 and since it’s negative times negative then itll be positive so final answer=1

Answer:

1

Step-by-step explanation:

I NEED HELP WITH OPPERATIONS WITH COMPLEX NUMBERS
(PLEASE HELP)

Answers

Answer:

see below

Step-by-step explanation:

z1 = sqrt(3) -i

z2 = -i

z1+z2 = sqrt(3) -i  + -i = sqrt(3) -2i

z1-z2 = sqrt(3) -i  - -i = sqrt(3)  +-i +i = sqrt(3)

z1*z2 = sqrt(3) -i  * -i = sqrt(3)*-i -i*-i = -sqrt(3)i + i^2 = -sqrt(3)i -1

z1/z2 = sqrt(3) -i  / -i = sqrt(3)/-i - i/-i = sqrt(3) *i/-i*i +1 = sqrt(3)i/-i^2 +1

                                     = sqrt(3) i +1

At most, Kyle spent $50 in the recording studio recording his new single. Kyle has already
made $12 from purchases made online. If each track costs $1, how many more tracks does
he need to sell to make a profit?

Answers

Answer:

Well you can subtract 12 from 50 make sure the larger number Is in front an the smaller number then you would get 38 so he would have to make more than 38 tracks to make a a profit

the length of a rectangle is 24 feet more than the width. The perimeter of the rectangle is 88 feet. What is the length and width of this rectangle?

Answers

Answer:

W = 10 ft

Step-by-step explanation:

Represent the length by L and the width by W.  Then L = W + 24.

The perimeter is P = 2W + 2L, or 88 ft.  Thus, after substituting L = W + 24,

88 ft = 2W + 2(W + 24), or

88 = 2W + 2W + 48, or, after reduction,

44 = 2W + 24, or

2W = 20, and so W = 10 ft

The length of the rectangle is 34 feet.

The given parameters;

perimeter of the rectangle, P = 88 feet.let the width of the rectangle = wthen, the length of the rectangle, L = 24 + w

The length of the rectangle is calculated as follows;

P = 2(L+ w)

P = 2(24 + w + w)

P = 2(24 + 2w)

88 = 48 + 4w

subtract 48 from both sides of the equation;

88 - 48 = 4w

40 = 4w

w = 10

Now, solve for the length;

L = 24 + w

L = 24 + 10

L = 34 feet

Thus, the length of the rectangle is 34 feet.

Learn more here:https://brainly.com/question/18869010

please solve:
3(d+12)=8-4d

Answers

Answer:

d= -4

Step-by-step explanation:

3d+36=8-4d

7d= -28

d= -4

Answer: -4

Step-by-step explanation:

3(d+12) = 8-4d

3d+36=8-4d

3d+4d=8-36

7d=  -28

d= -28/7

d= -4

Write an algebraic expression for the following:
Divide 2w by 3xy

Answers

Answer:

Step-by-step explanation:

2w/3xy

this is the answer

need help on this I just don't understand it​

Answers

Answer:

I understand what to do but i don't understand what a 2 way table is

Step-by-step explanation:

4x+1y=12 solve please need help

Answers

Answer:

-0.25y

Step-by-step explanation:

Simplifying

4x + 1y = 12

Solving

4x + 1y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

4x + 1y + -1y = 12 + -1y

Combine like terms: 1y + -1y = 0

4x + 0 = 12 + -1y

4x = 12 + -1y

Divide each side by '4'.

x = 3 + -0.25y

Simplifying

x = 3 + -0.25y

Answer:

x = 3 + -0.25y

Step-by-step explanation: Simplifying:4x + 1y = 12Solving:4x + 1y = 12Solving for variable 'x'.:Move all terms containing x to the left, all other terms to the right.Add '-1y' to each side of the equation.4x + 1y + -1y = 12 + -1yCombine like terms: 1y + -1y = 04x + 0 = 12 + -1y4x = 12 + -1yDivide each side by '4'.x = 3 + -0.25ySimplifyingx = 3 + -0.25y

x-(3-2x)-(4-5x)=-7. what is the value of x?

Answers

Answer:

x=0

Step-by-step explanation:

expand x-(3-2x)-(4-5x)=-7

x-3+2x-4+5x=-7

8x-7=-7

8x-7+7=0

8x=0

x=0

How many ounces of trail mix are in a bag that weighs 0.681 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)

Answers

Answer:

24 ounces

Step-by-step explanation:

the math is.  

.681÷ .454= 1.5 which is in pounds than you take 16÷2= 8 take that 8 add it to the 16 giving you 24 ounces

Answer:

24

Step-by-step explanation:

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