Given: cosθ= 4/5


Find: sin2θ

Answers

Answer 1

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer 2

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.


Related Questions

Please see attachment

Answers

Answer:

Relation 1: Not a function

Relation 2: Not a function

Relation 3: Function

Relation 4: Not a function

Step-by-step explanation:

Recall: a relation can only be a function if and only if each domain value has only 1 range value mapped to it or related to it. This means that a domain value can only have exactly one range value for the relation to be qualified a function.

✔️Relation 1 is NOT A FUNCTION.

Rationale: Two of the domain values (star and sky) is having more than 1 range value assigned to each.

✔️Relation 2 is NOT A FUNCTION:

Rationale: domain value, 9, has several range values assigned to it.

✔️Relation 3 is A FUNCTION:

Rationale: each domain value do not have more than one range values assigned to it.

✔️Relation 4 IS NOT A FUNCTION:

Rationale: the domain value, 6, has two range values, m and d, assigned to it.

In this activity, you will analyze a data set and answer some questions about the data. Warren works as a salesman at a used-car dealership. He maintains a log to track the number of vehicles he sells each day. Warren is paid a commission for each car he sells. He needs to know how many cars he sold last month so he can calculate his commission. The table shows the data he has recorded in the log book for the month.
please help

Answers

This answer will be 17

Answer: the answer is 17..hope this helps yall :D

Step-by-step explanation:

use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary. 25+5+1+… formula for a converging infinite series. a1 is the first term and r is the common ratio. 

Answers

Answer:

5x+12=-14=180

Step-by-step explanation:

sdvasdfasdfasdfawsdfasd

Answer:

the answer would be 31.25

Step-by-step explanation:

a1=25

r=.2

25/1-.2=31.25

Evaluate F(x)=4x+5 when x=4
f(4)=

Answers

Answer:

F(4) = 21

Step-by-step explanation:

[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]

Answer:

21

Step-by-step explanation:

F(X) = 4x + 5

One is asked to find (F(4)), substitute (4) in place of (x) and solve,

F(4) = 4(4) + 5

= 16 + 5

= 21

Write the equation of a parabola in conic form with a focus at (-2,-7) and a directrix at y=-1

Need help with this

Answers

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

find the degree measure of angle HRP?

Answers

Answer: HRP = 40°

Explanation:

Angle EPN = 40°

But EPN = HRP (corresponding angle)

Because EP//HR

Therefore EPN = HRP = 40°
The answer is going to be 40 degrees

I nEd the answer pls

Answers

Answer:

C

Step-by-step explanation:

[tex]SA = 2(lw) + 2(lh) + 2(wh)[/tex]

What’s it the correct answer? I will mark as brainlest

Answers

Answer:

Step-by-step explanation:

(216/4)-20+3(5)

(54)-20+15

34+15 = 49

option 1

Answer:

49

Step-by-step explanation:

(6³ / 4) - 4 * 5 + 3(7 - 2)

= (216 / 4) - 20 + 3 * 5

= (216 / 4) - 20 + 15

= 54 - 20 + 15

= 34 + 15

= 49

Hope it helps

if a graph shows no solution what is the inequality

Answers

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

please help me i don’t have much long on this test

Answers

Answer:

C. 248 square meters

Step-by-step explanation:

2(10 x 6) + 2(10 x 4) + 2(6 x 4)

= 120 + 80 + 48

= 248 [tex]m^2[/tex]

Answer:

c. 248

Step-by-step explanation:

2(6×4 + 10×4 +10×6) = 248

(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags​

Answers

9514 1404 393

Answer:

  4 bags -- the correct answer is marked

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

where b is the base length and h is the height.

Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...

  A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²

At 15 yd² per bag, the farmer will need ...

  (54 yd²)/(15 yd²/bag) = 3 3/5 bags

Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.

The farmer should purchase 4 bags.

The area of the land is 54 square yards ((6.5+2.5)*6=54). To find out how many bags he’ll need, you want to divide the area by how much a bag of soil covers (54/15=3.6), and then you’ll round up to ensure he’ll have enough (3.6 becomes 4)

A billboard is 5.0 m by 2.5 m. A scale diagram of the billboard is 0.25 m by
0.125 m.
a.
1:
Calculate the scale.
b. Calculate the scale factor (k).
c.
Is this a reduction or enlargement? Justify your thinking.
Pls help

Answers

Answer:

A the answer is a because i was just working on that rn

Step-by-step explanation:

One number is three less than another number. Their product is 40. Find the numbers.

Answers

Answer:8 and 5

Step-by-step explanation:8 times 5 is 40 and 5 is 3 less than 8

What is the value of f(-10) if f(x) = 4x - 12?​

Answers

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

You can paint a room in 8 hours. Working together, you and a friend could paint the same room in just 5 hours. How long would it take your friend to paint the room alone.

Answers

Answer:

friend alone could do it in 13 hours and 1/3

Step-by-step explanation:

Your rate = room/8

friends rate = room/x

combined rate = room/8 + room/x

= room(x+8)/(8x)

then

5 = room / [room(x+8)/(8x)]

5 = 8x/(x+8)

8x = 5x + 40

3x = 40

x = 40/3 = 13 1/3

friend alone could do it in 13 hours and 1/3

Your gross income is
$1945.63 of which you
get to keep 86% after
taxes.

Answers

Answer: You get to keep 1,673.24

You pay 272.38 in taxes.

Help set up the equation :D the answer in the answer box is wrong

Answers

X=3.4
Y=10 if that not right then switch x=10
Y=3.4

What is the slope of the following graph?

Answers

I believe the slope is -2/3

PLS HELPPPPPP OMG PLSSSSSSSSSSSSSS LOOK AT PHOTO PLSSSS HELPPP

Answers

Answer: B

Step-by-step explanation: The line crosses the Y axis at 3

Principal, $3000; Annual interest rate, 5.4%; time, 5 years

Answers

Answer:

SI = $810

Amount = $3,810

Step-by-step explanation:

Given that ,

P = $ 3,000 R = 5.4% T = 5 yrs .

We can use the formula of SI to find the interest as ,

=> SI = P × R × T / 100

=> SI = $ 3000 × 5.4 × 5 / 100

=> SI = $ 30 × 5.4 × 5

=> SI = $ 810 .

If you want to know total amount , then ,

=> Amount = SI + P

=> Amount = $ 810 + $ 3,000

=> Amount = $ 3,810

Hence the Amount is $3,810 and the SI is $810 .

Answer:

Step-by-step explanation:

3000*(.054)(5)= $810

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

The second one is the answer good luck

X-y=6, x+y=8, zx+zy=20

Answers

Answer:

Step-by-step explanation:

x = 6 + y

6 + y + y = 8

y = 1

x - 1 =6

x = 7

zx + zy = z(x + y) = 20

z = 2.5

Answer:

X = 7

Y = 1

Z = 2/5

Step-by-step explanation:

7-1 = 6

7+1 = 8

2/5 × 7 + 2/5 = 20

Can u help me please I will mark u brilliant

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE

Answers

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Find any ten rational numbers between-5/6 and 5/8

Answers

Answer:

-1/12, 1/2, -1/16, 1/16, -1/20, 1/20, -1/2, 1/2, -1/10, 1/10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10 Fractions

-5/6 = -400/480

5/8 = 300/480

201/480

202/480

203/480

204/480

205/480

206/480

207/480

208/480

209/480

210/480

10 Decimals

5/6 = -0.8333333333

5/8= 0.625

0.226

0.227

0.228

0.229

0.23

0.231

0.232

0.233

0.234

0.235

Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.

Answers

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

increasing

Step-by-step explanation:

8. If KITE is a kite, find the value of x and y.

A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8

Answers

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

A triangle as a height of 18 cm and a base of 3.5 cm what is the area of the triangle

Answers

Answer:

31.5

Step-by-step explanation:

The area of a triangle is 1/2 * b * h

so base times height times one half

Answer:

31.5 cm²

Step-by-step explanation:

(18 · 3.5) ÷ 2

63 ÷ 2

31.5

Which numbers are equal to 24
8 divided by 1/3
6 divided by 1/8
9 divided by 1/4
4 divided by 1/6
12 divided by 1/2

Answers

Answer:

The first one

Step-by-step explanation:

I did this and got it right and I solved it

8×3 equal 24/1 so make it to a whole number 24

8 divided by 1/3 = 24
4 divided by 1/6= 24
12 divided by 1/2= 24
All of these :)
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