What is the total surface area of the drawing?

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

so

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

Find the absolute value of |-93.1| and |3-8|

Gelneren [198K]

The answer is 93.1 and 5

7 0

2 years ago

What is the domain of the function y=3/x-1?<br> O<br> -00 O-1 O 0 O 1

viktelen [127]

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

6 0

2 years ago

Can somebody help me??

Dominik [7]

Answer:

1. -72

2. -64

Step-by-step explanation:

it is increasing by 4 so,

-76, -72, -68, -64, -60, -56.

4 0

2 years ago

A. A product has a probability of 60% showing up in warehouse A, and 80% in warehouse.

Alex_Xolod [135]

Answer:

100%

Step-by-step explanation:

Probability of a product showing up in warehouse A =60%

Probability of a product showing up in warehouse B = 80%

Probability of 2 product showing up in warehouse A is

Probability of 1 product showing up in A and probability of 1 product showing up in A

A n A = 60% x 60% = 0.6 x 0.6 = 0.36 =36%

Probability of 2 product showing up in warehouse B is

Same as above

Probability of 1 product showing up in B and probability of 1 product showing up in B

B n B = 80% x 80% = 0.8 x 0.8 = 0.64= 64%

Probability of 2 product showing up in same warehouse is define as

Probability of 1 product showing up in A and probability of 1 product showing up in A or

Probability of 1 product showing up in B and probability of 1 product showing up in B

(AnA) U (BnB) =

36% + 64% = 0.36 + 0.64= 1

100%

4 0

2 years ago