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kolezko [41]
3 years ago
10

In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangul

ar surface
Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

375

Step-by-step explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular  surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total  surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF  A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375

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Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he ha
Alborosie

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

8 0
2 years ago
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his exper
steposvetlana [31]

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

Find out more at: brainly.com/question/12490064

3 0
2 years ago
I dont understand???????????
love history [14]

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

5 0
2 years ago
Find f( -7) if f(x) = 3 - 2x. <br> Which relation describes a function?
Dahasolnce [82]

Answer:

The answer is 17

A function is a relation in which each possible input value leads to exactly one output value. For example, we say “the output is a function of the input.”

Step-by-step explanation:

f(-7)=3-2x

3-2(-7)

3 - -14= 17

4 0
3 years ago
Someone please help i will rate! :(
Angelina_Jolie [31]
What you will want to do is replace x with the amount of customers so it would be 42 squared divided by 3025-55x42 which should hopefully give you your answer which is 2.339 but you may have to round it as you can’t have 1/3 of a person etc hope this helps, let me know if I’m wrong
7 0
2 years ago
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