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Alla [95]
3 years ago
10

The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.
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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
Please help
ikadub [295]

Answer:

Quadratic

Step-by-step explanation:

Linear has a constant growth and exponential cannot be negative.

6 0
2 years ago
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During 2002, the average person ate 200.8 pounds of meat. How much meat does a family of 3 people eat in year?
dem82 [27]
Hi there! An average person ate 200.8 pounds of meat, so we would multiply that number by 3 to see how much meat the family ate altogether. 200.8 * 3 is 602.4. There. A family of 3 would eat 602.4 pounds of meat in a year.
4 0
3 years ago
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On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how
BlackZzzverrR [31]
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
6 0
3 years ago
Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect squar
Naddika [18.5K]

Answer: Vertex : Maximum (2, 0)

Rules:

  • (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²
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Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

3 0
1 year ago
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