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g100num [7]
2 years ago
10

Find the total surface area of this triangular prism.

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Answer:

not sure but i think its 425 cm

Step-by-step explanation:

for the square i dont know

how its called in english the surface is 25×10= 250cm

and for the triangle its (25×14):2 = 175cm

so 175 + 250= 425cm

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Explain for both problems and tell me the work that comes with it please and thank you
Anton [14]

Problem 33

Use the distributive property on the side containing parentheses of each expression and compare it to the other side.

a) 3(5a + 3) = 15a + 9 not equal to 15a + 6

b) 2(7b - 2) = 14b - 4 not equal to 14b + 4

c) 5(2c + 3) = 10c + 15 not equal to 7c + 8

d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5

Answer for problem 33: d)

Problem 34

Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).

\dfrac{3}{1} = \dfrac{17}{x}

3x = 17 \times 1

3x = 17

x = \dfrac{17}{3}

x = 5 \dfrac{2}{3}

Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.

3 0
3 years ago
What is the vertex of g(x) = –3x2 + 18x + 2?
blsea [12.9K]

Answer:

(3,29)

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is x=\frac{-b}{2a}

We have the function g(x)=-3x^2+18x+2

From this function, we can find that

a=-3\\b=18\\c=2

We can plug in our know values into the formula to get

x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3

Then we can plug in our x-value to find the y-value of the vertex

g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29

This means that the vertex would be (3,29)

6 0
3 years ago
Please help my sister with this! 4. 3 gallons of paint are used to paint 16 wooden signs how much paint did you sign used betwee
Paul [167]

Answer:

<h2><em><u>.1etc</u></em></h2>

Step-by-step explanation:

It would be 16 divided by 3 and from the answer you get from that you should divide it by itself equaling infinite .111111111111etc

4 0
3 years ago
Using binomial theorem, expand (x+6)^8 <br><br> edit: You could use the help of combinations too.
Pavlova-9 [17]

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

<u>Explanation:</u>

We know

(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ

and ⁿCₐ = n! / ( a! ) . ( n-a )!

So,

(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸

         = ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ     46656 + 8x . 279936 + 1679616

         = x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Thus, the expansion of ( x+6)⁸ using binomial theorm is

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

4 0
3 years ago
Identify and explain the error in the given work. Then solve correctly.
Morgarella [4.7K]
Step by step:
3n-18=4n+18
~subtract 3n from both sides:
-18= n + 18
~subtract 18 on both sides
answer: -36=n
4 0
2 years ago
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