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3 years ago

Use the distributive property to simplify the following expression: 3 (2 + 5z.)

Mathematics

2 answers:

lisov135 [29]3 years ago

6 0

Answer:

6+15z

Step-by-step explanation:

We multiply 3 to 2+5z. So, (3x2)+(3x5z)

Scorpion4ik [409]3 years ago

5 0

3(2+5z)
3 x 2 = 6 and 3 x 5z = 15z
6+15z

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David works six more hours per week than Xavier. If Xavier works 32 hours a week, what is the total hours the two work in a

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We are required to find the total hours David and Xavier works in a week

The total hours David and Xavier works in a week is 70 hours

let

number of hours Xavier works = 32 hours

number of hours David works = (6 + 32) hours

= 38 hours

Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works

= 32 hours + 38 hours

= 70 hours

Therefore, the total hours David and Xavier works in a week is 70 hours

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Feliz [49]

Answer: 13.96 in²

Step-by-step explanation:

radius (r)

d = 2r

16 = 2r

8 = r

angle in radians (θ)

$\frac{180}{\pi} =\frac{25}{\theta}$

180(θ) = 25(π)

θ = $\frac{25}{180}\pi$

θ = $\frac{5}{36}\pi$

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A = $\frac{1}{2}$ r² θ

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= $\frac{40}{9}\pi$

= 13.96

*************************************************************************

Answer: 12π

Step-by-step explanation:

s = rθ

= 60 $(\frac{\pi }{5})$

= 12π

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Answer: 22.440 cm²

Step-by-step explanation:

A = $\frac{1}{2}$ r²θ

= $\frac{1}{2}$ (10)² $(\frac{\pi} {7})$

= $\frac{50}{7}\pi$

= 22.440

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Answer: 270°, 630°, -450°, -810°

Step-by-step explanation:

positive: -90 + 360 = 270

270 + 360 = 630

negative: -90 - 360 = -450

-450 - 360 = -810

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Answer: $\frac{3\pi} {4}$

Step-by-step explanation:

$\frac{19\pi} {4} - 2\pi$

= $\frac{19\pi} {4} - \frac{8\pi} {4}$

= $\frac{11\pi} {4}$

$\frac{11\pi}{4} - 2\pi$

= $\frac{11\pi} {4} - \frac{8\pi} {4}$

= $\frac{3\pi} {4}$

If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.

5 0

4 years ago

Use the distributive property to simplify the following expression: 3 (2 + 5z.)​

Use the distributive property to simplify the following expression: 3 (2 + 5z.)