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Valentin [98]
3 years ago
8

What is the surface area of the rectangular prism below?

Mathematics
2 answers:
romanna [79]3 years ago
7 0

Answer:

64 cm^2

Step-by-step explanation:

surface area formula: 2(lw+wh+lh)

2(4*4+4*2+4*2)

2(16+8+8)

2(32)

64 cm^2

Irina-Kira [14]3 years ago
7 0

Answer:

SA= 64cm^2

Step-by-step explanation:

There are 4 rectangles with dimensions 2 and 4, and 2 rectangles with dimensions 4 and 4

4(2x4)+2(4x4)=64cm^2

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Find the slope of any line perpendicular to the line through (5,3) and (2,5)
maks197457 [2]

For this case we have that the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1}) and(x_ {2}, y_ {2}) are two points through which the line passes.

According to the statement we have to:

(x_ {1}, y_ {1}) :( 2,5)\\(x_ {2}, y_ {2}): (5,3)

Then, the slope of the line is:

m = \frac {3-5} {5-2} = \frac {-2} {3} = - \frac {2} {3}

By definition, if two lines are perpendicular then the product of their slopes is -1, that is:

m_ {1} * m_ {2} = - 1

We find m_ {2}:

m_ {2} = \frac {-1} {- \frac {2} {3}}\\m_ {2} = \frac {3} {2}

Answer:

The slope of a perpendicular line is:

m_ {2} = \frac {3} {2}

7 0
3 years ago
8th grade math, please help.
Hoochie [10]

Answer:

∠x = 16°

Step-by-step explanation:

∠x = 180° - (180° - 16°) = 16°

7 0
2 years ago
Read 2 more answers
Math help plsssssssssss
goldenfox [79]
What do you need??????????????

4 0
3 years ago
A kayak rental company charges $25.00 to rent a kayak and $3.50 for each half hour it is used.
pogonyaev

Answer:

Option D (r(t) = 3.50t +25 ; r(8) = 53)

Step-by-step explanation:

The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:

r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.

4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).

r(8) = 25 + 3.5*(8) = 25 + 28 = 53.

Therefore, Option D is the correct answer!!!

3 0
3 years ago
Read 2 more answers
Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
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