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3 years ago

What is the area of the two-dimensional cross section that is parallel to face ABC ?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

The area of the two-dimensional cross section is $30\ ft^{2}$

Step-by-step explanation:

we know that

The two-dimensional cross section that is parallel to face ABC is a triangle congruent with the triangle ABC

Therefore

Calculate the area of triangle ABC

$A=\frac{1}{2}(BC)(AB)$

we have that

Triangles ABC and DEF are congruent

$BC=EF=12\ ft$

$AB=5\ ft$

substitute

$A=\frac{1}{2}(12)(5)=30\ ft^{2}$

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The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.

Katyanochek1 [597]

The equation showing the relationship between w and t is $w = 4t$

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{4 -0}{1 -0}$

Simplify the numerator and the denominator

$m = \frac{4}{1}$

Divide 4 by 1

$m = 4$

The equation is then calculated as:

$w = m(t - t_1) + w_1$

This gives

$w = 4(t - 0) + 0$

Simplify

$w = 4t$

Hence, the equation is $w = 4t$

Read more about linear equations at:

brainly.com/question/14323743

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3 years ago

Paint can only be purchased in 1-quart, 1-gallon, and 5-gallon containers. How much will all supplies for the project cost if th

Ksju [112]

Answer:

$67.60

Step-by-step explanation:

Paint can only be purchased in 1-quart, 1-gallon, and 5-gallon containers. How much will all supplies for the project cost if the cans of paint cost $10.90 for a quart, $34.90 for a gallon, and $165.00 for 5 gallons?

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3 years ago

A. 12 + 4x = 6x + 10 – 2x

GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) $12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10$