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3 years ago

MEGA POINTS... CAN CHAT AFTERWARDS...

Mathematics

1 answer:

slega [8]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

x² - 18x + --- = 4 + ----

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 9)x + 81 = 4 + 81

(x - 9)² = 85 ( take the square root of both sides )

x - 9 = ± $\sqrt{85}$ ( add 9 to both sides )

x = 9 ± $\sqrt{85}$ ← exact solutions

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AnnZ [28]

Answer:

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3 years ago

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Mr. Anderson had 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get?

Soloha48 [4]

Answer:

Step-by-step explanation:

there were 5 pieces now there is 4. so 4 slices of pizza divided by 4 is 1

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3 years ago

PLEASE HELP

nata0808 [166]

Answer: the first option is the correct answer.

Step-by-step explanation:

Martin runs 3/4 mile three days a week. We would assume that he runs a total of 3/4 miles in three days of each week.

In four weeks the number of days that he runs would be

3 × 4 = 12 days

Since he runs 3/4 miles in 3 days, the number of miles that he would run in 12 days would be

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3 years ago

Find the surface area of the figure using the net shown. The area of the figure is yd2

geniusboy [140]

Answer:

Surface area = 233 yards²

Step-by-step explanation:

The surface area of the figure below is the sum of the area of each faces. This means the total surface area of the figure.

The figure has 4 triangle and 1 rectangle. The surface area will be the sum of area of the rectangle and the area of the 4 triangles.

surface area = base area(rectangle) + 2(area of similar triangle) + 2(area of similar triangle)

Base area

area of the rectangle = length × breadth

area of the rectangle = 16 × 5 = 80 yards²

Area of the 2 similar triangle

area of triangle = 1/2 × base × height

area of triangle = 1/2 × 5 × 5

area of the triangle = 25/2 = 12.5

For the 2 similar triangle = 12.5 × 2 = 25 yard²

Area of the other 2 similar triangle

area of a triangle = 1/2 × base × height

area = 1/2 × 16 × 8 = 128/2 = 64 yards²

For the 2 similar triangle = 64 × 2 = 128 yards²

Surface area = 80 yards² + 25 yard²+ 128 yards² = 233 yards²

7 0

3 years ago

A right come has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?

adelina 88 [10]

Answer:

h = 15 feet

Step-by-step explanation:

A right triangle is formed by the slant height, the radius of the base and h, with the slant height being the hypotenuse.

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

Since base diameter = 16 then radius = 8

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = $\sqrt{225}$ = 15

7 0

3 years ago