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3 years ago

Complete the statements about the shapes in the graph.

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Shape A is congruent to shape D because a 180° rotation about the origin and then a translation 2 units right maps shape A onto it.

Shape B is congruent to shape E because a 90° clockwise rotation about the origin and then a translation 1 unit left maps shape B onto it.

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A home builder wants to decorate the post at the bottom of a stairway. One way to do this is to glue a square-based pyramid to t

AysviL [449]

We have been given net of a pyramid. We are asked to find the total surface area of the pyramid.

The surface area of the pyramid will be area of base plus area of 4 triangular sides.

We have been given that base of pyramid is square, so area of base will be square of base side.

$\text{Area of base}=(\text{10 in})^2=100\text{ in}^2$

Let us find area of one triangular side.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times\text{Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{10 in}\times\text{6 in}$

$\text{Area of triangle}=\text{5 in}\times\text{6 in}$

$\text{Area of triangle}=30\text{ in}^2$

Now we will multiply area of one triangular face by 4 to find area of 4 triangular faces.

$\text{Area of 4 triangular faces}=4\times 30\text{ in}^2$

$\text{Area of 4 triangular faces}=120\text{ in}^2$

Total surface area of pyramid would be area of base plus area of 4 triangular faces.

$\text{Total surface area of pyramid}=100\text{ in}^2+120\text{ in}^2$

$\text{Total surface area of pyramid}=220\text{ in}^2$

Therefore, 220 square inches of copper sheet are needed to make one pyramid.

4 0

3 years ago

Can you guys help me find 1/3 + 5/6 please!

JulsSmile [24]

Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

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Graph the integers and their opposites.<br><br> -2

murzikaleks [220]

Answer:

Step-by-step explanation:

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twins Denise and Deandre always flip a coin to describe who gets to ride in the front seat to school. during a 6-week period (30

Yanka [14]

15 because it is a 50/50 chance each coin flip meaning you spilt 30 in half making it 30

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3 years ago

Write the following with positive exponents: 10 to the -5 power

Vikki [24]

Answer:

10^-5

Step-by-step explanation:

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