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3 years ago

Which explanation best describes how to solve this problem?

Mathematics

1 answer:

umka21 [38]3 years ago

8 0

C. Subtract 3 from 59. (56) Multiply the difference by 250. (250×56=14,000)

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Swimming Pool On a certain hot summer's day, 174 people used the public swimming pool. The daily prices are $1.50 for children a

djverab [1.8K]

$\begin{gathered} C+A=174 \\ 1.5C+2.25A=341.25 \end{gathered}$

6 0

1 year ago

Solve for x <br> 2x+16 X+16

nydimaria [60]

Answer:

2x(16)+16(16)

32x+256

32x/32=256/32

x=8

3 0

3 years ago

Read 2 more answers

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

Solve the equation below.<br><br> 1.2m+0.65=5

andrew-mc [135]

Answer:

m = 3.625

Step-by-step explanation:

1.2m + 0.65 = 5

~Subtract 0.65 to both sides

1.2m = 4.35

~Divide 1.2 to both sides

m = 3.625

Best of Luck!

5 0

3 years ago

Please answer these questions for me I wanna enjoy being outside today.

Arlecino [84]

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3. undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

4 0

3 years ago