I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

[tex]ED\times EC= EF^2[/tex]

[tex]\implies x(x+x+7)= (15)^2[/tex]

[tex]\implies 2x^2+7x= 225[/tex]

[tex]\implies 2x^2+7x-225=0[/tex]

Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]

Now, by quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]

[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]

[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]

[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]

[tex]\implies x=9\: or\:x=-12.5 [/tex]

x represents length, so it can't be negative.

[tex]\implies x\neq -12.5[/tex]

[tex]\implies x=9[/tex]

CD = x + 7

-> CD = 9 + 7

-> CD = 16

Answer:

34,700.

Step-by-step explanation:

The tens digit is 7 so we  round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.

Answer:

34,700

Step-by-step explanation:

34,678

3 is in the ten thousands place

4 is in the thousands place

6 is in the hundreds place

7 is in the tens place

8 is in the ones place

When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.

So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.

400, 500, 600, 700

As you can see, the nearest hundred is 700

Our answer would be 34,700

Hope this helps!

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

The value in cubic yards is 3.996yd³.

The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.

A rectangular box with a square base and no top is to have a volume of 108ft³.

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 × x = 108 × 0.0370

x = 3.996

Hence, the value in cubic yards is 3.996yd³.

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Answer:

I know the answer but you may select me as Brainliest

Answer:

the answer  6 1/6

Step-by-step explanation:

proof here

Answer: 6/1 6

Step-by-step explanation: i took the  quiz

Step-by-step explanation:

258

because there are 360 degrees in a circle. 360 - 102 = 258

i dont knowkkkkkkkkkkkkk

Answer:

1/5

Step-by-step explanation:

Hope this helps

Hello!

Let the unknown number be x.

Subtract 5:

x-5

Double the result: (multiply the result times 2):

2(x-5)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

2 v 13, 2 Square root 13

Step-by-step explanation:

there's 2 right triangles

a)

10^2 = 6^ + a^2

100 - 36 = a^2

64 = a ^2

a = 8

--------------------------------------------

now we know the base of the right triangle = 8

and also the base of the left one = 4

8 + 4 = 12

--------------------------------------------

now find x

b)

x^2 = 6^2 + 4^2

x^2 = 36 + 16

x^2 = 52

x = (square root) 52

x = 2 v 13     <---- "v = square root"

Instructions :- Simplify the answer if there is square root

hypotenuse² = perpendicular²+base²

First triangle:-

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {10}^{2} = {6}^{2} + {b}^{2} \\ 100 = 36 + {b}^{2} \\ 100 - 36 = {b}^{2} \\ 64 = {b}^{2} \\ 8 = b[/tex]

Second triangle

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {x}^{2} = {6}^{2} + {4}^{2} \\ {x}^{2} = 36 + 16 \\ {x}^{2} = 52 \\ x = \sqrt{52} = 7.2 \\ x = 7 \: \: approx[/tex]

Answer:

The probability of landing on heads is 50 and the probability of landing on tails is 50.

Step-by-step explanation:

Her answer is wrong because -

A. It does not equal 100, all percentages must add to 100

B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal

Answer:

Let's check this!

Obtuse triangle formula:

c² < b² + a²

Next fill in the formula:

7² < 5² + 4²

Then simplify:

49 < 25 + 16
Then add:

49 < 41

^^49 is not greater than 41 so therefore the triangle is not obtuse.

When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.

Acute triangle formula:

c² > b² + a²

7² > 5² + 4²

49 > 25 + 16

49 > 41 ✔

You're Welcome and Mark me Brainliest please.

The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.

The three sides of a triangle of lengths 4, 5, and 7.

An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.

The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.

Obtuse triangle formula:

c² < b² + a²

7² < 5² + 4²

49 < 25 + 16

49 < 41

Here; 49 is not greater than 41 so therefore the triangle is not obtuse.

Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

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Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

[tex]r = \frac{13}{2} [/tex]

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

Answer:

1) There were 120 customers per night when the restaurant opened

2) y = -2x + 24

Step-by-step explanation:

1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.

y=mx+b

120 is b in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.

Answer:

  $102

Step-by-step explanation:

The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.

  morning hours = 12:15 -8:15 = 4:00

  afternoon hours = 17:30 -13:00 = 4:30

  total hours worked = morning hours + afternoon hours

  total hours worked = 4:00 +4:30 = 8:30

This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.

The pay is the product of the hours worked and the pay per hour:

  pay = (8 1/2 hours) × ($12 /hour) = $102

Answer:

Step-by-step explanation:

The height of the building is: 26.585 m.

The angle formed by the line of sight and the horizontal plane for an object below the horizontal.

Given:

angle of depression= 28 degree,

distance between car and building= 50m

using trigonometry,

tan 28= P/B

0.5317= P/50

P= 26.585 m

Hence, the height of the building is 26.585 m.

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Answer:

Area = length × width

72 = 9 × width

8 = width (9 × 8 = 72)

pertinter = length + width + length + width

= 9 + 8 + 9 + 8

perimeter = 34

Answer:

perimeter: 34 m

Step-by-step explanation:

width * length = area

perimeter:

Answer:

11/5

Step-by-step explanation:

y2-y1/x2-x1

= -3-8/4-9

= -11/-5

= 11/5

Answer:

x = 10.4

Step-by-step explanation:

This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.

To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.

Answer:

52

Step-by-step explanation:

180-128=52

the whole angle is 180

Considering the total of peas is 72, Sally's initial number of peas was 56.

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

By the end, Sally has 25 peas and Will has 72 peas.

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

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Answer:

The answer would be 7

36/6=6

so it would be

42/x=6

x=7

Make a story problem about conversion of measurements.

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

Answer;

A=2(W·l+h·l+h·w)

Step-by-step explanation:

multiply all the numbers by eachother  and multiply by 2

· is multiply

For example:

length-12

height-5

width-7

12×5+5×7+7×12=179

179×2=358

Answer:

the answer to question a is 24

the answer to question b is 8

Total time used= 15+45+30=90 mins

Initial time=7:45

final time will be 1 hr 30 mins more than initial Time

final time= 9:15 am

Answer:1024π m^3

Step-by-step explanation:

i got 100 on the quiz

Answer:

435 is the answer

Step-by-step explanation:

well first you can cut it up

9x7=63

than    8x15=120

than for the trangle

you do  24x 21= 504 than you do 504/2=252

than add all of them =435