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grin007 [14]
3 years ago
11

Mr. Enloe uses a 3-foot-long piece of wood to build a square frame. Mr. Enloe cuts the wood in 4

Mathematics
2 answers:
cricket20 [7]3 years ago
5 0

Answer:

9 inches

Step-by-step explanation:

First we divide 3 by 4, which equals to 0.75. Since 1 foot is equal to 12 inches 0.75x12 is equal to 9.

meriva3 years ago
3 0

Answer:

it 12 inches u can thank me later

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A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; h
STatiana [176]

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

6 0
3 years ago
A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

7 0
2 years ago
Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18-31) stll live at home wit
Lera25 [3.4K]

Answer:

A.

\mathbf{The \  sample \  comes  \ from \  a \  population \ of \ Millennial \ students } \mathbf{at \  their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \  parents}

Step-by-step explanation:

From the given information.

The proportion of American Millennials still with their parents = 0.36

The sample size  = 300

Sample proportion = 0.43

Level of significance = 0.006

P-value = 0.006

Null hypothesis:

\mathbf{H_o: Of  \ Millennial \ students  \ at \ their \ campus, \ 36\% \  }\mathbf{ live \ at \  some  \ with  \ their \  parents . }

\mathbf{H_a: More \ than \ 36\%  \ of  \ Millennial \ students  \ at \ their \ campus \ live \ at \ home }\mathbf{ \ with \ their \ parents}

The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.

A.

\mathbf{The \  sample \  comes  \ from \  a \  population \ of \ Millennial \ students } \mathbf{at \  their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \  parents}

This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.

7 0
3 years ago
if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the
AlexFokin [52]

Answer:

the drop in the level of water in the container is 2.03 cm

Step-by-step explanation:

The volume of a cylinder can be written as;

V = \pi r^2h=\frac{\pi d^2h}{4}  \\where;\\r = radius \\h = height \\d = diameter

the change in height when the volume changes can be derived by differentiating the equation.

dV =\frac{\pi d^2}{4} dh\\dh = dV\frac{4}{\pi d^2}

substituting the given values;

\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.

dh = 5000\frac{4}{\pi * 56^2}\\dh = 2.03cm

the drop in the level of water in the container is 2.03 cm

4 0
3 years ago
The vector parametric equation for the line through the points (−1,−4,2) and (−1,0,−3) is:_______
ollegr [7]

Answer: x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

Step-by-step explanation:

To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).

Let A (−1,−4,2) and B(−1,0,−3)

First we find direction vectors : \overrightarrow{AB}=

Now, the parametric equations of the line:

x(t)=-1+0(t)

y(t)=-4+4(t)

z(t)=2-5(t)

Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):

x(t)=-1

y(t)=-4+4(t)

z(t)=2-5(t)

5 0
3 years ago
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