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3 years ago

∆ACB ∼ ∆FED. What is the value of x? Have a wonderful day Select one: a. 5 b. 4 c. 4.2 d. 4.5

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

5 0

Answer:

Option (A)

Step-by-step explanation:

It has been given in the question,

ΔACB ~ ΔFED

Then the corresponding sides of the triangles will be in the same ratio.

$\frac{AC}{FE}=\frac{BC}{DE}=\frac{AB}{FD}$

$\frac{AC}{FE}=\frac{BC}{DE}$

$\frac{(x+4.4)}{23.5}=\frac{9}{22.5}$

x + 4.4 = $\frac{9\times 23.5}{22.5}$

x + 4.4 = 9.4

x = 9.4 - 4.4

x = 5

Therefore, value of x = 5

Option (A) will be the answer.

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Find the gradient and intercept on the x and y axes of the straight line with the following equation.

PilotLPTM [1.2K]

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

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3 years ago

A company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8in.2 Approximately what is the

MakcuM [25]

Answer:

Approximately the volume of cone-shaped container is 393 in³.

Step-by-step explanation:

Given:

A company makes a cone-shaped container with a height of 15 in.

The area of its base is about 78.8 in².

Now, to get the cone-shaped container volume.

So, we find the radius first by using formula:

Let the radius be $r.$

(Using the value π = 3.14)

$A_{B}=78.8\ in^2.$

$A_{B}=\pi r^2$

$78.8=3.14\times r^2$

Dividing both sides by 3.14 we get:

$25.09=r^2$

Using square root on both sides we get:

$5.00=r$

$r=5\ in.$

Thus, the radius ( $r$ ) = 5 in.

The height ( $h$ ) = 15 in.

Now, to get the volume of the cone-shaped container we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 5^2\times \frac{15}{3} \\\\Volume=3.14\times 25\times 5\\\\Volume=392.50\ in^3.$

Therefore, approximately the volume of the cone-shaped container is 393 in³.

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3 years ago

Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in

zaharov [31]

Answer:

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Step-by-step explanation:

The diagram isn't attached :

However, taking the base of the parallelogram, b as 15 in

The height as 6 in

And the Slant height as 8 in

The Area of a parallelogram is given as :

Area, A = Base, b multiplied by height, h

A = b * h

Hence, Area of the above parallelogram is:

A = 15 in * 6 in

A = 90 in²

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3 years ago

How do you do conversions using cross canceling/fractions. EXPLAIN USING THIS PROBLEM:

WARRIOR [948]

There are 16 oz in 1 lb.

Divide the amount you are solving for (64) with 16

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