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qwelly [4]
3 years ago
5

what is the total surface area for a rectangular prism with dimensions of 7 cm 2cm 8cm in square centimeters​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

172 cm^2

Step-by-step explanation:

Since it is a rectangular prism, you would have 6 sides, with two of them being the same. Each side is the values but multiplied by each other. So 7x2, 8x2, and 7x8. If you add them up it would be 14+16+56= 86, but that is only 3 sides, so you need to multiply 86 by 2, thus 172.

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Three pens and two notebooks cost 8.25. two pens and three notebooks cost $8.00. how much would two pens and two notebooks cost?
goblinko [34]
3p + 2n = 8.25 ....multiply by 2
2p + 3n = 8 .........multiply by -3
-------------------
6p + 4n = 16.5 (result of multiplying by 2)
-6p - 9n = - 24 (result of multiplying by -3)
-------------------add
-5n = - 7.5
n = -7.5 / -5
n = 1.50 .............notebooks cost 1.50 each

2p + 3n = 8
2p + 3(1.50) = 8
2p + 4.50 = 8
2p = 8 - 4.50
2p = 3.50
p = 3.50/2
p = 1.75......pens cost 1.75 each

so 2 pens and 2 notebooks cost : 2(1.75) + 2(1.50) = $ 6.50 <==
6 0
4 years ago
Find the arc length of a central angle of pi/4 in a circle whose radius is 8 inches
Solnce55 [7]
arc \ length =\theta*r \ \ \ [\theta= \frac{ \pi }{4}; \ \ r=8] } \\  \\  arc \ length = \frac{ \pi }{4} *8 =2 \pi  \ \ in
3 0
3 years ago
Read 2 more answers
Write as a decimal<br> A) 407 tenths <br> B) 209 hundredths
castortr0y [4]

Answer:- A) 407 tenths =40.7

B) 209 hundredths=2.09


Explanation:-

We know that one tenth=\frac{1}{10} and one hundredth =\frac{1}{100}

A) 407 tenths

=\frac{407}{10}=40.7

Thus decimal form of 407 tenths is 40.7.

B) 209 hundredths

=\frac{209}{100}=2.09

Thus decimal form of 209 hundredth is 2.09.

4 0
3 years ago
Read 2 more answers
Can someone pls explain to me how to do this (^。^)
34kurt

Answer:

Area: \frac{8}{15} feet²

Perimeter: \frac{44}{15} =2 \frac{14}{15} feet

Step-by-step explanation:

The <u>formula of finding the </u><u>area</u><u> of a rectangle</u> or square is <u>width multiplied by length</u>.

The <u>formula of find the </u><u>perimeter</u><u> of a rectangle</u> or square is <u>width+width+length+length</u>

Area: \frac{4}{5} *\frac{2}{3} = \frac{8}{15} feet²

Perimeter:

\frac{4}{5} +\frac{4}{5} +\frac{2}{3} +\frac{2}{3} =

\\\\\frac{12}{15} +\frac{12}{15} +\frac{10}{15} +\frac{10}{15} =\\\\\frac{24}{15} +\frac{20}{15} =\\

\frac{44}{15} =2 \frac{14}{15}

4 0
3 years ago
Find the product (4x-5y)^2
sleet_krkn [62]
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)

Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)

FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>

Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em> 

Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>

Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2

Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.

The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2

Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
4 0
3 years ago
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