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Feliz [49]
3 years ago
13

Trina's science club is building bluebird houses to put in the local park. For the first 1/6 dozen bird houses, Trina finds that

they used 3/4 foot of wooden trim. Trina needs to buy enough wooden trim for one dozen bird houses . Write a unit rate that describes how much wooden trim Trina needs.
Mathematics
1 answer:
meriva3 years ago
3 0

<u>Answer:</u>

4.5 foot is needed for a unit dozen bird house

<u>Explanation:</u>

Given Tina saw ¾ foot of wooden trim is being used for  first 1/6 dozen bird houses

Therefore, we can write as,4

1/6 dozen = ¾ foot

For 1 dozen bird houses, we have to use the unitary method

1/6 dozen = ¾ foot  

Therefore, 1 dozen or unit dozen = \frac{\frac{3}{4}}{\frac{1}{6}}

1 dozen = ¾ * 6 = \frac{9}{2} foot = 4.5 foot  

Therefore, 4.5 foot is needed for a unit dozen bird house

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Zigmanuir [339]

Answer:

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Step-by-step explanation:

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3 years ago
Match each spherical volume to the largest cross sectional area of that sphere
zlopas [31]

Answer:

Part 1) 324\pi\ units^{2} ------> 7,776\pi\ units^{3}

Part 2) 36\pi\ units^{2} ------> 288\pi\ units^{3}

Part 3) 81\pi\ units^{2} ------> 972\pi\ units^{3}

Part 4) 144\pi\ units^{2} ------> 2,304\pi\ units^{3}

Step-by-step explanation:

we know that

The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere

Part 1) we have

A=324\pi\ units^{2}

The area of the circle is equal to

A=\pi r^{2}

so

324\pi=\pi r^{2}

Solve for r

r^{2}=324

r=18\ units

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

For r=18\ units

substitute

V=\frac{4}{3}\pi (18)^{3}

V=7,776\pi\ units^{3}

Part 2) we have

A=36\pi\ units^{2}

The area of the circle is equal to

A=\pi r^{2}

so

36\pi=\pi r^{2}

Solve for r

r^{2}=36

r=6\ units

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

For r=6\ units

substitute

V=\frac{4}{3}\pi (6)^{3}

V=288\pi\ units^{3}

Part 3) we have

A=81\pi\ units^{2}

The area of the circle is equal to

A=\pi r^{2}

so

81\pi=\pi r^{2}

Solve for r

r^{2}=81

r=9\ units

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

For r=9\ units

substitute

V=\frac{4}{3}\pi (9)^{3}

V=972\pi\ units^{3}

Part 4) we have

A=144\pi\ units^{2}

The area of the circle is equal to

A=\pi r^{2}

so

144\pi=\pi r^{2}

Solve for r

r^{2}=144

r=12\ units

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

For r=12\ units

substitute

V=\frac{4}{3}\pi (12)^{3}

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5 0
3 years ago
Read 2 more answers
What is the algebraic expression for the word phrase "eight times the difference of h and five"?
Serggg [28]

Answer: C

Step-by-step explanation:

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netineya [11]
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From our two points we can infer that x_{1}=0, y_{1}=0, x_{2}=-4, y_{2}=3. Lets replace those values in the slope formula:
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{3-0}{-4-0}
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Now that we have our slope, we can use the slope-intercept formula:
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We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is y=- \frac{3}{4} x.

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