All categories

3 years ago

The width of the prism is (2x − 2) ft, and its height is (x + 5) ft. The area of the base of the prism is (2x2 + 6x − 8) ft2.

Mathematics

1 answer:

Triss [41]3 years ago

7 0

Answer:

2x^2+8x-10

Step-by-step explanation:

Given data

Width= (2x -2) ft

Heigth= (x + 5) ft

The area of the base is given as

Area= width * heigth

Area= (2x -2)* (x + 5)

open bracket

Area= 2x^2+10x-2x-10

collect like terms

Area= 2x^2+8x-10

You might be interested in

(-12,14) and (6,-1)<br> write a linear equation

jarptica [38.1K]

Answer:

Step-by-step explanation:

this is were they should go

8 0

2 years ago

What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.

Julli [10]

Answer: option B

Step-by-step explanation:

-4, 1, 3

6 0

2 years ago

You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Orlov [11]

Answer: $1,475.8mm^{2}$

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

$SA_s=4r^{2}(3.14)$

Where r is the radius ( $r=\frac{10mm}{2}=5mm$ )

2. Then:

$SA_s=4(5mm)^{2}(3.14)=314mm^{2}$

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

$SA_c=2(3.14)(r)(h)$

Where h is the height (h=32mm)

4. Then:

$SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}$

5. So, the total surface area is:

$SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}$

6 0

3 years ago

Air is a solution composed of 78% nitrogen and 21% oxygen. Identify the solute and the solvent. *

bagirrra123 [75]

Answer:

nitrogen is the solvent and oxygen is the solute

Step-by-step explanation:

Most of the time the solute will be present in a smaller quantity and the solvent will appear in a larger quantity.

3 0

2 years ago

Read 2 more answers

For the first four months of the year , rain fell as follows : 2 1/2 inches , 3 1/4 inched , 1 1/8 inches and 1 1/2 inches . Wha

RSB [31]

8 3/8 would be the answer because first off you would have to find the 8th of the 1/2 and 1/4. Then after you get all of them then you would add them together which would be 8 3/8.

4 0

2 years ago