What is the y-intercept of a line thay has a slope of 3 and passes through point (-1,-7)

The volume of a rectangular prism is represented by the following equation:

$V=w*h*l$

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that $A=w*h$

Using this knowledge, we can change the volume equation to our needs.

$V=w*h*l$

$V=(w*h)*l$

$V=A*l$

Note: We know that A is 16 since it's given

$V=16*l$

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

$208=16*l$

Divide both sides of the equation by 16.

$13=l$

The length is 13 cm.

Let me know if you need any clarifications, thanks!

4 0

3 years ago

Marie wants to purchase a car and finance her purchase with a 4 year loan at 7% interest. If she wants her payments to be $250 p

saveliy_v [14]

Answer:

F = $13,802.31

she can finance $13,802.31 with this loan.

Step-by-step explanation:

Given;

Rate r = 7% = 0.07

Time t = 4 years

Payment per month MP = $250

Number of months per year n = 12

This can be solved using compound interest for future value series formula;

F = future value

F = MP(((1 + r/n)^(nt) - 1)/(r/n))

Substituting the given values, we have;

F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))

F = $13,802.31

4 0

3 years ago

Identify the three similar right triangles in the given diagram.

irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0

3 years ago

Help me out !!!!! Please

Stella [2.4K]

4x-t-4 is the final answer.

4 0

3 years ago

What is the value of y ?

Maksim231197 [3]

The answer is 6 to your question, but why does my answer have to be at least 20 characters long?

8 0

3 years ago