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Nikitich [7]
3 years ago
7

Determine the equation of the circle graphed below .

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

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In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3
Natasha_Volkova [10]

Answer:

87.6m²

Step-by-step explanation:

From the above question, we are given the following information

The dimensions of the base were 3 m by 5 m:

Length = 3m

Width = 5m

The pyramid was 3.6 m high

Height = 3.6m

To calculate the amount of ice needed for this sculpture, we would have to find the Surface Area of the Rectangular Prism

This is calculated as:

Surface Area =2(wl+hl+hw)

= 2(3 × 5 + 3.6 × 3 + 3.6 × 5)

= 2(15 + 10.8 + 18)

= 2(43.8)

= 87.6m²

The amount of ice needed for this sculpture is 87.6m²

6 0
3 years ago
The angles of an equilateral triangle are all:
professor190 [17]

The angles of an equilateral triangle are always 60°

4 0
3 years ago
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that
nadezda [96]

Answer:

327

Step-by-step explanation:

Calculation for How large of a sample would be required in order to estimate the mean per capita income

First step is to find z 80% confidence level

At 80% confidence level the z will be:

α/2 = 1 - 80% = 1 - 0.80 = 0.20

α/2= 0.20 / 2 = 0.01

Zα/2= Z0.01= 1.28 from z table

Now let calculate the Sample size using this formula

Sample size = n= [( Zα/2* σ ) / E]^2

Let plug in the formula

n = (1.28*7.9/0.56)^2

n= 326.06

n=327 (Approximately)

Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327

3 0
3 years ago
Simplifying fractions (picture provided)
stich3 [128]

Answer:

2 1/4

Step-by-step explanation:

- 5 1/4 - ( - 7 1/2)

Subtracting a negative is like adding

- 5 1/4 + 7 1/2

Get a common denominator of 4

-5 1/4 + 7 2/4

Subtract

7 2/4 - 5 1/4

2 1/4

6 0
3 years ago
Read 2 more answers
Claculate the height (x) of the tree.
Alexeev081 [22]

Answer:

50√3/3

Step-by-step explanation:

30-60-90 triangle

50:x = 2sqrt3 : 2

50*2 =100

100/2sqrt3 = ​3

​50√

​3

​

Please mark me brainiest..

​​

​​

5 0
4 years ago
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