Given that triangle ABC ~ triangle DEF, solve for x and y

CATNUMATICAL Reason Quantitatively Rachel, Timothy, and Robyn each make

valkas [14]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the dimension of each prism is not given.

So, I will give a general explanation.

From the question, we understand each prism.

So, to get the new volume; we simply add up the volume of each prism.

For instance (we want to make assumptions)

Rachel

$Length = 4; Width = 3; Height = 4$

Timothy

$Length = 6; Width = 3; Height = 4$

Robyn

$Length = 4; Width = 8; Height = 3$

So, we have:

$Volume = Length * Width * Height$

For each, we have:

$Rachel =4* 3* 4 =48$

$Timothy= 6* 3* 4 = 72$

$Robyn = 4* 8* 3 = 96$

The volume of the new

$Volume = 48 + 72 + 96$

$Volume = 216$

The dimension of new prism.

Using the assumed values, we have:

$Length = 4; Width = 3; Height = 4$

$Length = 6; Width = 3; Height = 4$

$Length = 4; Width = 8; Height = 3$

Now, we consider the measure of the sides

Sides with the same length will form a new side.

Side 1

$Length =4$ --- Rachel

$Height = 4$ ---- Timothy

$Length = 4$ --- Robyn

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Length = 4$ -- for the new prism

Side 2

$Width =3$

$Width = 3$

$Height = 3$

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

$Width = 3$ -- for the new prism

Side 2

$Height = 4$

$Length = 6$

$Width =8$

For this, we simply add up each length.

So, we have:

$Height = 4 + 6 + 8$

$Height = 18$ --- for the new prism

So, the new dimension is:

$Length = 4$

$Length = 6$

$Height = 18$

$Volume = 4 * 3 * 18$

$Volume = 216$

5 0

2 years ago

In last Sunday's football game, the Steelers had the football for exactly 7/12 of the game. if the entire game consists of four

lesantik [10]

Answer:

35 minutes

Step-by-step explanation:

Total minutes that Steelers play = 15 * 4 = 60 mins

Steelers have the ball for: 7/12 * 60 = 420/60 = 35 mins

Hope this help :3

4 0

2 years ago

Solve s = rθ for θ. A) θ = rs B) θ = r/s C) θ = s/r D) θ = 1/rs

meriva

Dividing both sides by r

=s/r

5 0

3 years ago

Read 2 more answers

Need help due friday

Ronch [10]

Answer:

C. f(x) = 40(1/4)^x

Step-by-step explanation:

Check all the options:

When x = 0

A. f(x) = 1/4(40)^x

f(x) = 1/4(40)^0

f(x) = 1/4(1)

f(x) = 1/4

When x = 0

B. f(x) = 1/2(40)^x

= 1/2(40)^0

= 1/2(1)

f(x) = 1/2

When x = 0

C. f(x) = 40(1/4)^x

= 40(1/4)^0

= 40(1)

= 40

When x = 0

D. f(x) = 4(1/3)^x

= 4(1/3)^0

= 4(1)

= 4

7 0

3 years ago

Estimate 196 and 482

geniusboy [140]

When you estimate you round to the nearest whole number (simply to make it easier.) Depending on what place you need to estimate to (like hundreds, or just tens..)

Let's turn 196 into 200 and 482 into 480

200+480 = 680

Hope this hlps!

3 0

3 years ago

Read 2 more answers