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4 years ago

What is the value of x

Mathematics

1 answer:

ValentinkaMS [17]4 years ago

7 0

Answer:

Step-by-step explanation:

There are 7 sides to this polygon. Forget all the lettering on the figure. Concentrate on the number of triangles you can count. There are 5 of them. Each one has 180 degrees. So the total number of degrees on the interior of the figure is

5 * 180 = 900

All you have to do is add up all the angles including the x and equate them to 900

x + 146 + 122 +142+ 140 + 110 + 142 = 900 Collect the terms on the left.

x + 802 = 900 Subtract 802 from both sides

x = 900 - 802

x = 98

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What is the answer to this?

Serga [27]

Answer:

4 Sparkles wands for $20: does not have

6 fairy wands for $37.50: does have

10 glow wands for $65: does not have

Step-by-step explanation:

8 glitter wands for $50 = $6.25 per wand

Just divide the price by how many there are and it shall lead you to the price per wand.

I hope this helps! :)

5 0

3 years ago

Find an equation of the tangent line to the curve at the given point. y = x3 âˆ’ 3x + 2, (3, 20)

lisov135 [29]

Answer:

$y - 20 = 24(x - 3)$

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

$y - y_0 = m(x - x_0)$

In which the point is $(x_0,y_0)$ and the slope is m.

(3, 20)

This means that $x_0 = 3, y_0 = 20$ . So

$y - y_0 = m(x - x_0)$

$y - 20 = m(x - 3)$

Slope:

The slope is the derivative of the function at the point:

The function is:

$y = x^3 - 3x + 2$

The derivative is:

$y^{\prime}(x) = 3x^2 - 3$

At the point, we have that $x = 3$ . So

$m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24$

So the equation to the tangent line to the curve a the point is:

$y - 20 = 24(x - 3)$

8 0

3 years ago

find the volume of a cylinder with a base area of 25 pi in^2 And height equal to the radius. Give your answer both in terms of p

telo118 [61]

The base of the cylinder is a circle in which the area is calculated through the equation,
A = πr²
We are given that area is 25π in². From this and the equation above, the value of r is equal to 5 in. Using this calculated value as the height, the volume of the cylinder is,
V = Bh
where B is area of the base and h is height.
V = (25π in²)(5 in) = 125π in³
or also equal to,
V = 392.7 in

7 0

3 years ago

1. A motorboat leaves a harbor and travels at an average speed of 15 mph toward an island. The average speed on the return trip

jenyasd209 [6]

Answer:

30 miles

Step-by-step explanation:

Let d represent the distance to the island. The relation between time, speed, and distance is ...

time = distance/speed

so the total time for the round trip is ...

d/15 +d/10 = 5

Multiplying by 30, we get

2d +3d = 150

d = 150/5 = 30

The island was 30 miles from the harbor.

5 0

3 years ago

11. A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jameson picks a fru

ludmilkaskok [199]

There are 14 fruit to start with and 2 bananas

2/14

then there are 13 fruit and 2 pears

2/13

So the probability of the two events in a row without replacement is:

(2/14)(2/13)=4/182

2/91 ( about 2.2%)

4 0

4 years ago

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