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4 years ago

Geometry Help please?

Mathematics

1 answer:

Kipish [7]4 years ago

3 0

Look at side AB.
The slope is -1/4.

Look at side BC.
The slope is 4.

The product of -1/4 and 4 is -1. That makes segments AB and BC perpendicular and angle B a right angle. That makes triangle ABC a right triangle.

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Jim needs 3 1/2 of burlap to cover his bulletin board. His brother gives him 1 1/6 yards. How much more does Jim need to purchas

ANTONII [103]

1 2/3 yards
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Vote my brainliest!

3 0

3 years ago

A storage box with a square base must have a volume of 90 cubic centimeters. the top and bottom cost $0.60 per square centimeter

Paul [167]

Answer-

For side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

Solution-

Let us assume that,

x represents the length of the sides of the square base,

y represent the height.

Given the volume of the box is 90 cm³, so

$\Rightarrow V=90\\\\\Rightarrow x^2\times y=90\\\\\Rightarrow y=\dfrac{90}{x^2}$

As the top and bottom cost $0.60 per cm² and the sides cost $0.30 per cm². Total cost C will be,

$C=\text{cost for top and bottom}+\text{cost for rest 4 sides}\\\\=(2x^2\times 0.6)+(4xy\times 0.3)\\\\=(2x^2\times 0.6)+(4x\times \frac{90}{x^2}\times 0.3)\\\\=1.2x^2+ \dfrac{108}{x}$

Then,

$C'=\dfrac{d}{dx}(1.2x^2+ \dfrac{108}{x})=2.4x-\dfrac{108}\\\\C''=\dfrac{d^2}{dx^2}(1.2x^2+ \dfrac{108}{x})=2.4+\dfrac{216}{x^3}$

As C'' has all positive terms so, for every positive value of x (as length can't be negative), C'' is positive.

So, for minima C' = 0

$\Rightarrow 2.4x-\dfrac{108}{x^2}=0\\\\\Rightarrow 2.4x=\dfrac{108}{x^2}\\\\\Rightarrow x^3=\dfrac{108}{2.4}=45\\\\\Rightarrow x=3.56$

Then,

$y=\dfrac{90}{x^2}$

$y=\dfrac{90}{3.56^2}$

$y=7.10$

Therefore, for side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

4 0

4 years ago

Read 2 more answers

On a map, 1.5 centimeters represents a distance of 45 kilometers. If two points on the map are 0.8 centimeters apart, what is th

Dmitry_Shevchenko [17]

Write a proportion
centimeters / kilometers
1.5 / 45 = 0.8 / x
cross multiply
(1.5 * x ) = (45 * 0.8)
1.5x = 36
divide both sides by 1.5
x = 24

The actual distance between the two points is 24 kilometers.

Hope this helps

6 0

3 years ago

F(x)=1/2x+8 f(4)=solve

KonstantinChe [14]

F(4)=.5×4+8

simplified to F(4)=2+8,

simplified even more means F(4)=10.

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3 years ago

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This is Daniela’s work to solve the equation 13 x + 42 = 276.

Yuliya22 [10]

Answer:
Subtraction property of equality.

4 0

3 years ago

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