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jolli1 [7]
3 years ago
6

A net for a cube has a total surface area of 150 in.2. What is the length of one side of a square face?

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

  5 in

Step-by-step explanation:

A cube has 6 congruent square faces, so each has an area of ...

  (150 in^2)/6 = 25 in^2

The area of each square face is the square of the side length, so ...

  side length = √(25 in^2) = 5 in

The length of one side of a square face is 5 inches.

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Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $
Alik [6]

Answer:

the monthly payment is $303.69

Step-by-step explanation:

this is how i got it:

9,550 divided by 100= 95.5

95.5 x 3.18= 303.69

so the monthly payment it $303.69

5 0
3 years ago
Changle. Show all work. Round each length to the nearest tenth and each angle to the
Sedaia [141]

Answer:

Part 1) BC=12.2\ units

Part 2) m\angle A=55^o

Part 3) m\angle C=35^o

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=7^2+10^2

AC^2=149\\AC=12.2\ units

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

tan(A)=\frac{BC}{AB} ----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{10}{7}

using a calculator

m\angle A=tan^{-1}(\frac{10}{7})=55^o

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

substitute the given value

55^o+m\angle C=90^o

m\angle C=90^o-55^o=35^o

8 0
3 years ago
E
Evgesh-ka [11]

Answer:

He bought 20 shirts

Step-by-step explanation:

shirts -- x

pants -- 3/4 of x

Therefore,

He bought --- 28(3/4 of x) pants and 40(x) shirts.

So, 28(3/4 of x) + 40(x) = 1220

=> 21x + 40x = 1220

=> 61x = 1220

=> x = 20

He bought 20 shirts and 15 pants.

Thenks and meak me brainliest :))

3 0
2 years ago
If a consumer takes out a $100 payday loan, his total cost will be higher because of
Zolol [24]

Answer:

being smart

Step-by-step explanation:

4 0
2 years ago
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