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3 years ago

Find the measure for the angle of theta

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

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Write each decimal as a fraction or mixed number in simplest form.<br> 1 3/8

Mnenie [13.5K]

3/2

<em>Step One:</em> 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8
NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
4 can be divide by both number so: 12/4= 3 and 8/4=2
Now 3 is are simplify numerator and 2 is are simplify denominator.

8 0

2 years ago

Solve the rational equation quantity 3 times x minus 5 end quantity divided by 7 equals four sevenths. A: f(n) = f(n − 1) ⋅ 0.3

KengaRu [80]

Answer:

2.8 < x -0

Step-by-step explanation:

4 0

2 years ago

Five times the sum of twice a number, x, and two is ten.<br> Find the number. <br> x=?

Inessa [10]

Answer:

Step-by-step explanation:

5(2x + 2) = 10

10x + 10 = 10

10x = 0

x = 0

5 0

2 years ago

Read 2 more answers

What is -4 divided by 2/5

scoundrel [369]

The answer is -10

Step by step:
-4 / 2/5
-4/1 x 5/2
-20/2 simplifies to -10

3 0

3 years ago

Read 2 more answers

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.

aliina [53]

Answer:

A. 14040 cubic inches

B. 61 gallons

Step-by-step explanation:

The volume of a cuboid is given by the formula ...

V = LWH

One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.

One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.

The volume of the fish tank is ...

V = (39 in)(18 in)(20 in) = 14,040 in³

The volume is 14,040 cubic inches.

One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.

976 cups equals 61 gallons.

_____

<em>Additional comment</em>

One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

8 0

2 years ago