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3 years ago

Find the surface area of this prism. Leave your answer as a mixed number in simplest form.

Mathematics

1 answer:

blondinia [14]3 years ago

5 0

Answer:

Area = ph+2b

Step-by-step explanation:

Area of a Prism= ph+2b

p= perimeter of the base

h= height of the prism

b= the area of the base.

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What is the vertex of the graph of the function below? y = x2 + 8x + 12

Vera_Pavlovna [14]

Hello,

$The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is: \\ V=( -\frac{b}{2a},f(-\frac{b}{2a}) )$

That means that we must first obtain x, then we replace x in the function to get y, so:

$x=- \frac{b}{2a} \\ \\ x=- \frac{8}{2*(1)} \\ \\ \boxed{x=-4} \\ \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}$

Answer: V=(-4 , -4)

5 0

3 years ago

Need help on the last problem please.

pshichka [43]

Answer:

6 of x and 5 of y

Step-by-step explanation:

x = number of closets of the first type

y = number of closets of the second type

1200 = 100x + 120y

100 = 10x + 8y

10x = 100 - 8y

10x(100 - 8y) + 120y = 1200

1000 - 80y + 120y = 1200

40y = 200

y = 5

100 = 10x + 8×5 = 10x + 40

60 = 10x

x = 6

20x + 24y = max

20×6 + 24×5 = 120 + 120 = 240

6 0

3 years ago

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

lisabon 2012 [21]

Answer:AU is right

Step-by-step explanation:

7 0

2 years ago

What is -1/6 multiplied by 6

Tems11 [23]

Answer:

$-1$

Step-by-step explanation:

Step 1: Multiply

$-\frac{1}{6} * \frac{6}{1}$

$-\frac{1*6}{6*1}$

$-\frac{6}{6}$

$-1$

Answer: The correct answer is -1

4 0

3 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

earnstyle [38]

Answer:

XY ≅ TU

Step-by-step explanation:

SAS = side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

In addition to what is given we need the other side be congruent too:

XY ≅ TU

8 0

2 years ago

Read 2 more answers