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4 years ago

Help Please! If tan θ = 20/21, what is cos θ?

Mathematics

1 answer:

g100num [7]4 years ago

4 0

We can use SOH CAH TOA.

We know that the legs, being Opposite and Adjacent, are 20 and 21. Using Pythagorean Theorem, we see the Hypotenuse is 29.

Then, using Adjacent over Hypotenuse, we know cos θ = 21/29.

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta

snow_lady [41]

Answer:

The rectangle: L = 40 yards. W = 5 yards

The square: The length and width are both 5 yards.

Step-by-step explanation:

Let L and W be the length and width of the rectangle.

Let l and w be the length and width of the square.

Area for each is:

Rectangle: L*W

Square: l*w

We are told that L*W + l*w = 225 yards^2

We are also told that

L = 8W

and that

l = W

Since the sides of a square are all equal, w is also W: w=W

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2 = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.

The square: l=W, so l = 5 yards, and thus w=5 yards

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0

2 years ago

The mass of Pluto is approximately 1 × 1022 kg, while the mass of Neptune is approximately 1 × 1026 kg. Which of the following i

kogti [31]

Answer:

Step-by-step explanation:

lets be the mass of pluto be x and y of neptune so x=1×10^22 kg and y=1×10^26 kg so, then thousand means 10000 as it has the value in notation form as 10^4.

4 0

3 years ago

Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope of this airplane's ascent?

LekaFEV [45]

The answer is D) 3/8. 15 over 40 (15/40) = 3/8

8 0

3 years ago

Read 2 more answers

Pahelp naman po

MakcuM [25]

Answer:

81.5+2.6=84.1

understand: we have to add the weight lost to her current weight to find the original weight.

plan: first we take 81.5 and add the weight lost to it 2.6

solution: 81.5+2.6=84.1

check: 84.1-2.6=81.5

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3 years ago

A principal of $1800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 11 years?

posledela

Calc= 1800 times (0.085 ^11)

3 0

3 years ago