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vodka [1.7K]
3 years ago
6

This figure is a right triangular prism. The sides of its triangular bases are each 5 cm and the height of the triangular base i

s
approximately 4.3 cm. The length of the prism between the bases is 8 cm.
What is the approximate surface area of this prism?

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Answer:

86cm³

Step-by-step explanation:

The area of the triangle is 1/2(b)(h)*2.  The 1/2 and 2 cancel out as we’re doubling the small triangle to make the big triangle.  Then you just multiply it times the length of the prism.  So the formula ends up:

2.5*4.3*8=86cm³

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F(X) = -X +2:Find f(X- 4)
cricket20 [7]
F(x) = -x+2
F(x-4) = ?

-(x+4)+2 = -x-4+2 = -x-2.

Hope this helps!

7 0
4 years ago
Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri
grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of​ $9.50 for each​ piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by​ $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in ​$729​, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0
3 years ago
a farmer has 24 yards of rope that needs to be cut into 1/4 yards of pieces. How many pieces of the rope does the farmer collect
Mazyrski [523]

Answer:6

Step-by-step explanation:

7 0
3 years ago
Triangle RST is diated to form triangle R'S'T with the scale factor of 3.5. If RT=8 what is the length of R'T
shepuryov [24]

Answer:

R'T = 28

Step-by-step explanation:

Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.

In the given question, the length of RT was increased by the scale factor, so that;

R'T = RT x scale factor

      = 8 x 3.5

      = 28

R'T = 28

Therefore, the length of R'T is equal to 28.

3 0
3 years ago
8^2 + b^2 = 10^2<br> what is b?<br> HELP HELP FAST
vodka [1.7K]

Answer:

2

Step-by-step explanation:

10^2 - 8^2 = B^2

B = 2

3 0
4 years ago
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