A circular pool has a diameter of 25 feet. A 2-foot-wide sidewalk borders the entire pool. What is the approximate circumference of the outside edge of the sidewalk?

Answer:

Step-by-step explanation:

All you have to do is subtract....

                                    And there you have it as your answer have a nice day!

The maximum height the will rocket achieve is 21.76 feet and the time taken to return to the earth is 8/5 seconds.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity can be given as;

Average velocity = total distance / total time taken

As per the given,

Velocity v = 40 feet/second

Height at time t as,

h = 40t - 16t²

Since, velocity = distance /time

dh/dt = velocity

dh/dt = 40 - 2 x 16 = 40 - 32t

v = 40 - 32t

At maximum height velocity will be zero,

40 - 32t = 0

32t = 40

t = 32/40 = 4/5 seconds

Maximum height = 40(4/5) - 16(4/5)²

Maximum height = 32 - 10.24 = 21.76 feet per second

Time taken = 2 x 4/5 = 8/5 seconds

Hence "The maximum height will rocket achieve is 21.76 feet and the time taken to return to the earth is 8/5 seconds".

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Answer:

Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51

Step-by-step explanation:

A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.

Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.

Alt. interior angles are congruent so Angle 3=39.

In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.

[tex]39 + 90 + x = 180[/tex]

[tex]129 + x = 180[/tex]

[tex]x = 51[/tex]

so angle 4=51.

Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.

Rhombus also has angle bisectors to angle 1=angle 2.

Angle 2=51.

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4        the ^ carot symbol means raised to power X

 (25 g^10 h^12) × (g^16 h^8)         exponents raised to powers MULTIPLY

  -5² = 25   g^5² = g^10  h^6² = h^12     do the same thing with   (g^4 h^2)^4

  25 g^(10+16) h^(12+8)                 collecting terms powers ADD

  25 g^26 h^20                         Which letter is the answer?  

                                                  Did you follow my explaination?

Answer:

B. –25g26h20

Step-by-step explanation:

Answer:

4,n=4

Step-by-step explanation:

D=(n,-2) and E=(n,2)

the distance from D to E ,

√{(n-n)^2+(-2-2)^2}=√16=4

the co-ordinate of point C=(0,-2)

given,DC=DE

→√{(n-0)^2+(-2+2)^2}=√16

→n^2=16

therefore,n=4

Answer:

-18

Step-by-step explanation:

Hope that helps

You do 3(-6) to get neg 18

Answer:

-18

Step-by-step explanation:

-6 x 3 = - 18.

Answer:

6^(2/3)

Step-by-step explanation:

exponent fraction rule

Answer:

the first one, 6^2/3

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

[tex] \frac{3}5 \div x = \frac{12}{5} \\ \\ \frac{3}{5 } \times \frac{1}{x} = \frac{12}{5} \\ \\ \frac{3}{5x} = \frac{12}{5} \\ \\ x = \frac{3 \times 5}{12 \times 5} \\ \\ x = \frac{1}{4} [/tex]

Answer:

15:00 PM and 3:00 PM ,they mean the same exact thing

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. Tan 48=x/17

X=17 tan 48

X=18.9

3. Sin 67=x/29

29 sin 67=x

X=26.7

4. Sin29= 12/x

Xsin29/sin29 =12/sin29

X=24.8

5. Cos16 =x/37

X=37cos16

X=35.6

6. Tan 58 =22/x

X=22/tan58

X=13.7

7. Tan 51= X/15

15 tan 51=x

X=18.5

8. Cos37=48/x

X=48/ cos37

X=60.1

9. Sin24=x/9

9sin 24=x

X=3.7

Answer:

Step-by-step explanation:

2. Tan 48=x/17

X=17 tan 48

X=18.9

3. Sin 67=x/29

29 sin 67=x

X=26.7

4. Sin29= 12/x

Xsin29/sin29 =12/sin29

X=24.8

5. Cos16 =x/37

X=37cos16

X=35.6

6. Tan 58 =22/x

X=22/tan58

X=13.7

7. Tan 51= X/15

15 tan 51=x

X=18.5

8. Cos37=48/x

X=48/ cos37

X=60.1

9. Sin24=x/9

9sin 24=x

X=3.7

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Bob earns $2900 per month. 15% of his salary is deducted for his car loan.

First, we need to calculate the deduction for the car:

Deduction= 2,900*0.15

Deduction= $435

Now, the monthly salary that remains for Bob:

Montlhy salary= 2,900 - 435

Monthly salary= $2,465

Answer:

x = 3

Step-by-step explanation:

The 2 lines intersect at (3, - 2 ) with x = 3

Answer: 35

Step-by-step explanation:

Assuming the triangles are congruent, then by CPCTC,

[tex]65=2y-5\\\\70=2y\\ \\ y=35[/tex]

Answer:

The area of the shape is 89m²

Step-by-step explanation:

You need to subtract the area of the empty triangle from the area of the rectangle.

The rectangle's area is 13m × 8m = 104m²

The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²

Subtract the triangle's area from the rectangle:

104m² - 15m²

= 89m²

Answer: (h,k) (-1, -8)

Step-by-step explanation:

Answer:

The vertex will be (1,8)

Step-by-step explanation:

hope it helps have a great day!!!

The fraction [tex]\frac{20}{2}[/tex] is 10 as a whole number.

A fraction is a mathematical expression that represents a part or a division of a whole. It is used to represent numbers that are not whole numbers or integers. A fraction consists of two components:

1. Numerator: The numerator is the number on the top of the fraction. It represents the quantity or part of the whole being considered.

2. Denominator: The denominator is the number at the bottom of the fraction. It represents the total number of equal parts into which the whole is divided.

Given the fraction [tex]\frac{20}{2}[/tex],

divide numerator and denominator by 2,

[tex]\frac{20\div 2}{2\div 2}[/tex] = [tex]\frac{10}{1}[/tex] = 10.

So, [tex]\frac{20}{2}[/tex] = 10

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Answer:

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]

When A=(3,-2) and radius=r=-5

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Answer:

Step-by-step explanation:

Interpreting as: -31+(-45)

Input:

-31 - 45

Result:

-76

Number line:

Number line

Number name:

negative seventy-six

Manipulatives illustration:

- | | - | | = | - |  

| 31 | | 45 | | | 76

Answer: [tex]160.28\ cm^2[/tex]

Step-by-step explanation:

Given

diameter of cone [tex]d=12\ cm[/tex]

radius is [tex]r=\frac{d}{2}=6\ cm[/tex]

The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]

The surface area of a cone is

[tex]\Rightarrow A=\pi rl[/tex]

Substitute the value

[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]

Answer:

a

Step-by-step explanation:

hope this helps!! please mark brainliest

Answer:

23,084-9,567= 13,517 so he will have to pay $13,517

Answer:

1st box is 200

2nd box is 8

Step-by-step explanation:

Step-by-step explanation:

You will need the hypotnuse. to find that use a squared plus b squared is c squared

Answer:

74%

Step-by-step explanation:

Answer:

The perimeter of a rectangular field is 100 meters

Step-by-step explanation:

The given data of the rectangular field are;

The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²

The total cost of levelling the field, T[tex]_c[/tex] = 30,000

The length to breadth ratio of the field, L:B = 3:2

Where;

L = The length of the field

B= The breadth of the field

From the given data of the field, we have;

The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]

∴ A = 30,000/(50/m²) = 600 m²

The area of the field, A = 600 m²

The formula for the area of a rectangle, A = Length, L × Breadth, B

A = L × B

We are given that the length to breadth ratio of the field, L:B = 3:2

∴ L/B = 3/2

L = (3/2) × B

The area of the rectangular field, A = L × B

∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²

A = (3/2) × B²

From the calculation for the cost of levelling the field, we have, A = 600 m²

∴ A = (3/2) × B²

A = 600 m²

By transitive property, we have;

(3/2) × B² = 600 m²

B² = (2/3) × 600 m² = 400 m²

B = √(400 m²) = 20 m

The breadth of the field, B = 20 m

From L = (3/2) × B, we have;

L = (3/2) × B

∴ L = (3/2) × 20 m = 30 m

∴ The  length of the field, L = 30 m

The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;

The perimeter of a rectangle, P = 2·L + 2·B

Therefore, for the rectangular field, we have;

P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m

The perimeter of a rectangular field, P = 100 m.

Answer:

1. A = 64 cm²

2. A = 240 yd²

3. A = 220.5 cm²

4. A = 193.4 m²

Step-by-step explanation:

1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.

Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

2. We want to split this figure into a triangle and a rectangle.

Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.

For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.

Do this same thing to find the height of the triangle.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

3. We want to split this figure into a triangle and semicircle.

We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.

Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

4. We want to split this figure into a rectangle and semicircle.

For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.

Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.

Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

Answer:

x = 65

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

80+30+70=180, so 70+x = 90 so x =20

Answer:

9 6/7 is the answer

Answer:

120

Step-by-step explanation:

multipy 30 by 4 and you should get 120.

You can even do 30+30+30+30 and it will also add up to 120.