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notka56 [123]
3 years ago
10

Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the

number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?
Mathematics
1 answer:
Orlov [11]3 years ago
8 0

Answer:

2 3

Step-by-step explanation:

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Choose the correct simplification of the expression a6b3/a4b2
Law Incorporation [45]

Answer:

a2b

Step-by-step explanation:

a6b3 / a4b2

When dividing exponents, you subtract them.

a6-4

b3-2

Leaving you with a2b


8 0
3 years ago
Find AC <br> What Is The Equation To AC?
In-s [12.5K]

<u>Given</u>:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

<u>Length of AC:</u>

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Where the value of \theta is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

cos \ 65^{\circ}=\frac{AC}{AB}

Substituting AB = 7, we have;

cos \ 65^{\circ}=\frac{AC}{7}

Multiplying both sides by 7, we get;

cos \ 65^{\circ} \times 7=AC

  0.423 \times 7=AC

        2.961=AC

Rounding off to the nearest hundredth, we get;

2.96=AC

Thus, the length of AC is 2.96 units.

6 0
3 years ago
The surface area of rectangular prism is 48 ft.². The area of its front is 4 ft.², and the area of one side is 10 ft.². What is
DaniilM [7]
I think the answer is 20.
3 0
3 years ago
Question 3 of 5
gladu [14]

Answer:

triangle A

Step-by-step explanation:

the area is 16cm²

8×4/2 = 32/2 = 16

5 0
3 years ago
X^2=14x-49. i just dont know how to do the steps to solve this equation
KonstantinChe [14]
x^2=14x-49 \\ \\ x^2 - 14x + 49 = 0 \ / \ move \ terms \\ \\ x^2 - 2(x)(7) + 7^2 = 0 \ / \ rewrite \\ \\ (x - 7)^2 = 0 \ / \ square \ of \ difference \ method \\ \\ x - 7 = 0 \ / \ square \ root \ each \ side \\ \\ x = 7 \ / \ add \ 7 \\ \\

The answer is: x = 7.
5 0
3 years ago
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