I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

Answer:

20m square units

Step-by-step explanation:

The area of a traingle  = bh/2............... Equation 1

Where b = lenght of the base, h = heigt of the triangle.

From the question,

The area of triangle GHK = m square units., let the base and the heigth of the triangle be x and y respectively

Therefore,

b = x, h = y

Substitute these values into equation 1

m = xy/2................... Equation 2

If the height of the triangle increase to five times the current height, and the length of the base increase to four times the current length.

Therefore,

height of the larger triangle = 5y, base of the larger triangle = 4x

Substitute these values into equation 1

Area of the larger triangle = (5y×4x)/2

Area of the larger triangle = 20xy/2................. Equation 3

Substitute equation 2 into equation 3

Area of the new triangle = 20m square units.

Answer:

≈ 84.8 cm²

Step-by-step explanation:

The area of the shaded region is calculated as

area of circle - area of unshaded sector

area of circle = πr² = π × 6² = 36π

unshaded area = area of circle × fraction of circle

                          = 36π × [tex]\frac{90}{360}[/tex] = 36π × [tex]\frac{1}{4}[/tex] = 9π

area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )

Answer:

6

Step-by-step explanation:

1)

-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]

2)

NOW, Simple simplify....

Answer:

Flagpole height is 50 ft.

Explanation:

This is a ratio problem

Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]

Answer:

2x+5

Step-by-step explanation:

Answer:

5(2x) => 10x

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

The height of the cylinder is equal to 7.5 meters.

Given that,
An oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.

A cylinder is defined as it is geometric shape when a rectangle sheet fold into a circular shape the figure arises looks same as the tube structure.

Volume, is defined as the ratio of the mass of object to its density.

The volume of the oblique cylinder = height * base area

90π = 12π  * height
height = 7.5 m                                

Hence, the height of the cylinder is equal to 7.5 meters.

Learn more about Cylinder here:

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The question seems to be incomplete or improperly written,
So Correct Question could be given as,

This oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.

what is the height of the cylinder?

Answer:

hello

bring the side of the first part of the triangle then you can to bring the (x) of the second traingle

Answer:

(s - 1)(s² + s + 1)

Step-by-step explanation:

s³ - 1 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

s³ - 1

= s³ - 1³

= (s - 1)(s² + s + 1)

The required factorized form of the given expression is (s - 1)(s² + s + 1).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

s³ - 1

We have to determine the factor of the given expression

As per the question, we have

s³ - 1

This is a difference between cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

⇒ s³ - 1 = s³ - 1³

⇒ (s - 1)(s² + s + 1)

Thus, the required factorized form is (s - 1)(s² + s + 1).

Learn more about the Factorization here:

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Answer:

7

Step-by-step explanation:

divide 7 to both side

7x/7=49/7

x=7

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Answer:

Step-by-step explanation:

5. Give in the question.

6. AB/CB = BM/BP (Not sure about the rule, you can find it on textbook I guess)

7. CBA = PBM

8. Conclusion

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

Answer:

12

Step-by-step explanation:

(2 + 2 + 2 + 6) × 2 ÷ 2 = 12

Answer:

B.21

Step-by-step explanation:

because it's the only whole number.

Answer:

Henry

Step-by-step explanation:

Henry is wrong before in the second step he didn't distribute properly. He multiply 5 · x but didn't multiply 5 · -2

Answer:

$ is less than or equal to $16

Step-by-step explanation:

Answer:433.0mm3

Step-by-step explana

Answer:

Add 11/56

Step-by-step explanation:

3/7 = 24/56 (×8)

5/8 = 35/56 (×7)

35/56 - 24/56 = 11/56

Answer:

198 inches

Step-by-step explanation:

There are 12 inches in each foot

multiply 16 by 12 you get 192

Half of a foot is 6 inches

add 6 inches and you get 198

Answer:

There are 198 inches in 16 1/2 feet

Step-by-step explanation:

16.5 × 12 = 198 inches

Answer:

??

Step-by-step explanation:

Given:

Number of blue marbles = 6

Number of red marbles = 4

Number of green marbles = 4

Choose one marble without looking,

To find:

The probability that the selected marble is red or green.

Solution:

For the given problem,

Total outcomes = Total number of marbles

                          = [tex]6+4+4[/tex]

                          = [tex]14[/tex]

Favorable outcomes = Number of red or green marbles.

                        = [tex]4+4[/tex]

                        = [tex]8[/tex]

The probability that the selected marble is red or green, is

[tex]P=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

[tex]P=\dfrac{8}{14}[/tex]

[tex]P=\dfrac{4}{7}[/tex]

Therefore, the probability that the selected marble is red or green, is [tex]\dfrac{4}{7}[/tex].

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²