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otez555 [7]
3 years ago
8

Find the coordinates of the midpoint of the segment whose endpoints are H(3,14) and K(7,2).

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

Answer:B (5;8)

Step-by-step explanation:

X= (7+3)÷2

Y= (14+2)÷2

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Y=-1/2x+1 what is the slope
klio [65]
The slope is -1/2. When it’s in the equation like that, the slope is always the number that has the letter X next to it.
6 0
3 years ago
The area of the shaded region to the nearest tenth is __________.
goldfiish [28.3K]

Answer: 380 ft^2

Step-by-step explanation:

Length of sides of square=25

Diameter of semicircle=25

Radius=r=25/2=12.5

π=3.14

Area of square=length x length

Area of square=25 x 25=625

Area of semicircle=0.5 x π x r x r

Area of semicircle=0.5 x 3.14 x 12.5 x 12.5

Area of semicircle=245.3125

Area of shaded portion=area of square - area of semicircle

Area of shaded portion=625-245.3125

Area of shaded portion=379.6875

Area of shaded portion=380ft^2

approximately

4 0
3 years ago
What is the exact value of x in the exponential equation 4 + e3x = 24?
larisa86 [58]

Answer:

hello : x = (ln(20))/3

Step-by-step explanation:

4 + e3x = 24?

e3x = 24 - 4

e3x = 20

3x = ln(20)

x = (ln(20))/3

7 0
3 years ago
What is the total volume of this compound shape?
Alex787 [66]

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

6 0
3 years ago
1. Find the sum of the measures of the interior angles of a convex 11-gon.
OleMash [197]

Answer:

The measure of the sum of interior angles of a 11-gon is 1620^{o}.

Each interior angle is approximately 147.273^{o}.

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than 180^{o}.

But,

sum of interior angles of polygon = (n - 2) x 180^{o}

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x 180^{o}

                                         = 9 x 180^{o}

                                         = 1620^{o}

Sum of angles of a 11-gon = 1620^{o}

To check: convex polygons' interior angles are less than 180^{o}.

so that,

each interior angle of 11-gon = \frac{1620}{11}

                                        = 147.273^{o}

3 0
3 years ago
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