Surface area and volume of trapezoid prim

Answers

Answer 1

Answer: Surface Area formula of a prism:
S.A = 2 × Area of base + Perimeter of Base × Height of prism

Area of base ( trapezium ) = $(1)/(2)$ × height (base₁ + base₂)
Perimeter of base ( trapezium ) = All sides added together (a₁ + a₂ + b₁ + b₂)

Volume Formula of prism:
V = Area of base × Height of prism

And just substitute them all
Hope it helped!

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rachel received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.44 per pound. after buying the coffee, she had $25.36 left on her card. how many pounds of coffee did she buy?

Answers

Answer:

6 pounds.

Step-by-step explanation:

70-25.36= 44.64 (the amount of money she spent)

44.64/7.44 (per pound cost)= 6

Answer:

Rachel bought 6 pounds of coffee.

Step-by-step explanation:

First, do $70-$25.36, because that will give you the total amount of money she spent on coffee.

$70-$25.36= $44.64.

Rachel spent $44.64 on coffee.

Next, you know that every pound of coffee costs $7.44.

So, $7.44x = $44.64

x= the number of pounds of coffee Rachel purchased.

So, we have to now isolate x.

$7.44x / $7.44 = $44.64 / $7.44

x= 6

Therefore, Rachel purchased 6 pounds of coffee.

If you need anymore help on any math problems, email me at: [email protected]

I also tutor.

Hope this helps:)

Which number is a factor of 21 but not a multiple of 7

Answers

the number 3 is a factor of 21

the factor it willl be 3 people if you mutiple by 7 you will get 21

What is the area of the rectangle in square units and how can i explain my answer

Answers

The area of your rectangle will vary depending on the dimensions. The area of any rectangle can be found with a simple equation...

Area = Length x Width or A = l x w

The answer to the area question will ALWAYS be in square units because when you multiply, you also multiply the units so, for example 2 inches x 2 inches = 4 inches^2.

Let's take a look at an example... You have a rectangle with a length of 8 feet and a width of 4 feet. What's the area?

Well... Area = Length x Width, so

Area = 8 ft x 4 ft
Area = 32 ft^2

Easy as that!

"Find the missing side lengths in each pair of similar figures." Someone explain please

Answers

1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.

2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.

What is a triangle?

A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.

1. ΔABC and ΔXYZ are similar.

Therefore, $(AB)/(XY) = (25)/(10)$

⇒ $(AB)/(XY) = 2.5$

Here, $AC = x, XZ = 6$

Therefore, $(AC)/(XZ) = 2.5$

⇒ $AC = 2.5(XZ)$

⇒ $x = (2.5)(6)$

⇒ $x = 15$

Again, $CB = y, ZY = 8$

$(CB)/(ZY)= 2.5$

⇒ $(y)/(8) = 2.5$

⇒ $y = (2.5) (8)$

⇒ $y = 20$

2. For ΔABC

$= \sqrt{AB^(2) - AC^(2)}\n= \sqrt{34^(2) - 16^(2)}\n= √(900)\n= 30$ (Side can't be negative.)

Here, ΔABC and ΔXYZ are similar.

Therefore,

$(BC)/(ZY)\n= (30)/(15)\n= 2$

Now, $AB = 34, XY = x$

Therefore, $(AB)/(XY) = 2$

⇒ $(34)/(x) = 2$

⇒ $x = (34)/(2)$

⇒ $x = 17$

Again, $AC = 16, XZ = y$

Therefore, $(AC)/(XZ) = (16)/(y) = 2$

⇒ $(16)/(y) = 2$

⇒ $y = (16)/(2)$

⇒ $y = 8$

Learn more about a triangle here: brainly.com/question/2338119

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AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2

1,000,000 exponential form

Answers

the exponential form of this is 10 to the power of 6

Evaluate the expression when x = 2

Answers

the answer is 1 when x=2

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