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3 years ago

Blue Sky Jeans Company manufactures jeans. A machine cuts the fabric

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

79687

Step-by-step explanation:

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed

Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y

Now solve for the $dy/dt$ when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

$\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s$

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3 years ago

4x - 5= 2(2x - 1) -3

Alekssandra [29.7K]

Answer and Step-by-step explanation:

Solve for x.

Distribute the 2.

4x - 5 = 4x - 2 - 3

Combine like terms

4x - 5 = 4x - 5

Add 5, and subtract 4x.

0 = 0

There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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3 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

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3 years ago

Read 2 more answers

Gabriel needs d more dollars to buy a new video console that coast $156.75. He has saved $98.26. Solve the equation $98.26 + d =

Yuri [45]

Just subtract 98.26 from 156.75. It equals $58.49.

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3 years ago

Read 2 more answers

OMG NEED HELP NOW!!!!!!!!!!!!

IrinaK [193]

210 take 126/3 = 42 take 42x5 = 210

7 0

2 years ago