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Nostrana [21]
3 years ago
14

A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?

Mathematics
2 answers:
atroni [7]3 years ago
6 0
Answer: 3/2

Explanation: The formula for area of a rectangle is lengthXwidth.
1/2m^2 = 1/3m X width.
Solve and youll find that the width is 3/2 or 1.5
natta225 [31]3 years ago
5 0

Answer:

its 2/3 because if u divied the width u get that

Step-by-step explanation:

you welcome i tried

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Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?
Orlov [11]

Answer:

x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z

Step-by-step explanation:

Consider the equation

2\sin^2x-5\sin x-3=0

Substitute

u=\sin x

into the equation:

2u^2-5u-3=0

This is quadratic equation, where

D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7

Hence,

u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3

Now, use the substitution again:

1. When u_1=-\dfrac{1}{2}, then

\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z

2. When u_2=3, then

\sin x=3

This equation has no solutions, because the range of \sin x is [-1,1] and 3>1.

4 0
4 years ago
Read 2 more answers
Two number cubes are rolled.
aliina [53]

Answer:

1/18

Step-by-step explanation:

Assuming the die are regular 1,2,3,4,5,6

P(2) = number of 2's/ total numbers on die

      = 1/6

Roll again

Assuming the die are regular 1,2,3,4,5,6

P (numbers greater than 4) = {5,6}/total numbers on die

                                               =2/6 = 1/3

P (2, then  number greater than 4) = 1/6 * 1/3 = 1/18

8 0
3 years ago
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What is the value of x ? <br> Enter your answer in the box . ° ?
BaLLatris [955]

Answer:

307°

Step-by-step explanation:

The sum of all the angles of a hexagon is equal to 900°.

So,

112+x+120+100+128+133 = 900

593+x = 900

x = 900-593

x = 307°

So, the value of x is equal to 307°.

4 0
4 years ago
Lei pre sold 32 carnations for a fundraiser, then she sold c more carnations on the day of the fundraiser. She earned 0.25 dolla
Lina20 [59]

Answer: 0.5 * (16 + 0.5c)

Step-by-step explanation:

Creating identical expressions involves changing quantities in a way that preserves the end values specified in the equation.

For instance, if Lei sold 4 carnations:

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In the second equation listed, the expression (8 + 0.25c) was multiplied by 4, then by 0.25, for a total multiplicand of 1.

You can make a third equation through the same method. I'll multiply (8 + 0.25c) by 2, and then multiply that expression by 0.5 to keep the multiplicand unchanged:

0.5 * (16 + 0.5c)

If Lei sold 4 carnations:

0.5 * (16 + 2) = 9

This equation represents the same quantities as the other equations.

7 0
4 years ago
What is the range of the function y = x^2 ?
Gelneren [198K]
The range is all of the y values.

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4 0
4 years ago
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