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3 years ago

12

Bill's flower garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden?A. 4

feet
B. 8 feet
C. 21 feet
D. 35 feet

1 answer:

koban [17]3 years ago

4 0

Answer:

A. 4 feet

Step-by-step explanation:

The area of something is found by multiplying the length by the width. So to find the answer, you divide 28 by 7 to get 4.

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The lines shown below are perpendicular. If the green line has a slope of

elixir [45]

Answer:

c: -7

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original line

a way to find this is to flip the numerator and the denominator of a slope and make it negative

1/7 --> 7 --> -7

that would be your slope

4 0

2 years ago

Which of the following is a third root of the given complex number.

Leokris [45]

Answer:

The correct option is C.

Step-by-step explanation:

The given complex number is

$z=64(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])$

We need to find the third root of the given complex number.

$z^{\frac{1}{3}}=(64(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}]))^{\frac{1}{3}}$

$z^{\frac{1}{3}}=64^{\frac{1}{3}}(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])^{\frac{1}{3}}$

$z^{\frac{1}{3}}=4(\cos[\frac{\pi}{7}]-i\sin[\frac{\pi}{7}])^{\frac{1}{3}}$

De moivre's theorem:

$(\cos\theta+i\sin\theta)^n=\cos n\theta+i\sin n\theta$

where, n is an integer.

Using de moivre's theorem, we get

$z^{\frac{1}{3}}=4(\cos[\frac{\pi}{7}\times \frac{1}{3}]-i\sin[\frac{\pi}{7}\times \frac{1}{3}])$

$z^{\frac{1}{3}}=4(\cos[\frac{\pi}{21}]-i\sin[\frac{\pi}{21}])$

Therefore the correct option is C.

6 0

3 years ago

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What is the sum of (3+6)^2 and 3^3

Mademuasel [1]

(3+6)^2 + 3^3 =
9^2 + 3^3 =
81 + 27 =
108

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3 years ago

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Write a word problem that can be modeled by the expression 193 / 14

Kay [80]

Answer:

I had 193 cookies and 14 friends. I have to share it between them since i didn't want any. how many cookies will each of them get/recieve?

Step-by-step explanation:

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4 years ago

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What is the circumference of a circle with a diameter of 100 m?<br><br> 100 m<br> 157 m<br> 314 m

pychu [463]

circumference of circle = 2×3.14×50

circumference = 100×3.14

circumference = 314m

option c is correct answer friend

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3 years ago

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