What is the surface area of the square pyramid below?A square pyramid. The square base has side lengths of 6 centimeters. The triangular sides have a height of 10 centimeters.
120 cm2
132 cm2
156 cm2
276 cm2

Answers

Answer 1
Answer:

Since the squarebase has side 6 cm and triangular side has height 10 cm, the total surface area of square pyramid is 156 cm²

What is the Total surface area of a square pyramid?

A square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.

Area of square base

Area of square with side, L is A = L²

Area of triangularbase

Area of triangle with height and base, L which is the length of the square base is A' = 1/2Lh

Thus, total surface area of square pyramid ,

A" = L² + 4 × 1/2Lh

= L² + 2Lh

Given that the length of the square base is 6 cm and the height of the triangular side is 10 cm.

Now substituting the values of the variables intot he equation, we have

A" = L² + 2Lh

A" = (6 cm)² + 2 × 6 cm × 10 cm

A" = 36 cm² + 120 cm²

A" = 156 cm²

So, the total surface area of square pyramid is 156  cm²

Learn more about total surface area of squarepyramid here:

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Answer 2
Answer:

Answer:

C) 156cm²

Step-by-step explanation:

1. 6x6=36

2. 6x10=60

3. 60/2=30

4. 30x4=120

5. 120+36=156cm²


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Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80. You then make deposits of $25 and $24.75. What's your new balance?

Answers

Answer:

The new balance is $45.97 .

Step-by-step explanation:

As given

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80.

Bank balance after the purchase = $102.35 - $20 -$33.33 - $52.80

                                                       = $102.35 - $ 106.13

                                                       = - $3.78

As given

You then make deposits of $25 and $24.75.

Total deposit money = $25 + $24.75

                                  = $49.75

Thus

New balance = Bank balance after the purchase + Total deposit money

                      = - $3.78 + $49.75

                      = $ 45.97

Therefore the new balance is $45.97 .

$102.35 - $20 = $82.35
$82.35 - $33.33 = $49.02
$49.02 - $52.80 = $-3.78
$-3.78 + $25 = $21.22
$21.22 + $24.74 = $45.97
so $45.97 is your answer

What is the solution of this system of linear equations?A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please

Answers

Answer:

The answer is C.

Step-by-step explanation:

Inordertofindthesolutionofthelinearequation,youhavetofindthecoordinateswheretheyintersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I amwrong)

The model y = 500(1.035)^x, indicates the value of an investment, where x is the number of whole years. What's the growth factor (the ratio from one year to the next)?

Answers

Given:
model y = 500(1.035)^x is the value of the an investment after x years.

the growth factor of this model is 1.035

Let us assume that x = 3 and x = 2

y = 500(1.035)² = 500 (1.07) = 535
y = 500(1.035)³ = 500 (1.11) = 555

growth factor = 555 / 535 = 1.037 or 1.035 

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

I need help with thiss plz

Answers

Answer:

Mia is right since the x-axis crosses the y-intercept and her line is an inequality.

Step-by-step explanation:

Hope this helps Kait:)

Answer:

you got this

Step-by-step explanation:

Mia is right since the x-axis crosses the y-intercept.

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?A)Price of a shirt is $9, and price of a cap is $2.
B) Price of a shirt is $10, and price of a cap is $1.
C) Price of a shirt is $8, and price of a cap is $3.
D) Price of a shirt is $7, and price of a cap is $4.

Answers

Answer:

C. Price of a shirt is $8, and price of a cap is $3.

Step-by-step explanation:

Let us assume the

initial cost of each shirt = x

initial cost of each cap = y

The total price of a shirt and a cap is $11.

i.e x+y=11  

\Rightarrow y=11-x  ----------------1

As the price of the shirt was doubled and the price of the cap was 3 times its original price, so

new cost of each shirt = 2x

new cost of each cap = 3y

The total price of a shirt and a cap would be $25.

i.e 2x+3y=25  --------------2

Putting the value of y from eq 1, in eq 2

\Rightarrow 2x+3(11-x)=25

\Rightarrow 2x+33-3x=25

\Rightarrow 2x-3x=25-33

\Rightarrow -x=-8

\Rightarrow x=8

Putting it in eq 1,

\Rightarrow y=11-8=3

Therefore, price of a shirt is $8, and price of a cap is $3.

Ok got it the answer is C) 8 x 2 = 16     3 x 3 = 9
so 16 plus 9 is 25