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Rufina [12.5K]
3 years ago
8

Solve for the variable shown. Round answers to the nearest hundredth if needed.

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45

#teamtrees #WAP (Water And Plant)

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I need help with #3
Deffense [45]
Unit rate = 3/8 : 1/6

We can also write this as:

3/8 / 1/6

Flip the 2nd fraction and multiply:

3/8 * 6/1

Multiply the numerators and denominators together:

18/8

Simplify by dividing the numerator and denominaotr by 2:

18 / 2 = 9
8 / 2 = 4

So we have:

9/4
7 0
4 years ago
Read 2 more answers
The ground temperature at Brigham Airport is 17 °C. The temperature decreases by 4.9 °C for every increase of 1 kilometer above
SSSSS [86.1K]

Answer:

should be -7.5

Step-by-step explanation:

4.9×5=24.5

17-24.5=-7.5

8 0
3 years ago
Find all the points if any where y-4x=12 intersects 2-y=2(x+2)^2
Stells [14]

Answer:

B

Step-by-step explanation:

given the 2 equations

y - 4x = 12 → (1)

2 - y = 2(x + 2)² → (2)

rearrange (1) expressing y in terms of x

y = 12 + 4x

Simplify (2) by expanding factor and substituting y = 12 + 4x

2 - (12 + 4x) = 2(x² + 4x + 4)

2 - 12 - 4x = 2x² + 8x + 8

- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form

add 10  + 4x to both sides

2x² + 12x + 18 = 0 ← in standard form

divide through by 2

x² + 6x + 9 = 0

(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3

Point of intersection = (- 3, 0 ) → B



4 0
3 years ago
Fifteen over eight plus two over five plus negative seven over eight
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4 0
3 years ago
Shoe Boxes A department store is selling its plastic shoe boxes for $1.50 off the
Firdavs [7]
T=4(r-1.5)

4(3.59-1.5)=t= 8.36 dolla

Enjoy.
7 0
3 years ago
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