The radius of a circle is 9 m. Find its area in terms of \piπ.

Answer:

Options (B) and (E)

Step-by-step explanation:

Area of ΔABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(14)(6)[/tex]

                        = 42 in²

Area of trapezoid ADEC = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

[Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and 'h' is the height of the isosceles trapezoid given]

= [tex]\frac{1}{2}(10+14)(8)[/tex]

= 96 in²

Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC

                                    = 42 + 96

                                    = 138 in²

Therefore, Options (B) and (E) are the correct options.

Answer:

24

Step-by-step explanation:

Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people

Now only the remaining 3 can come second - 3 people

Next, only the remaining 2 people can come third - 2 people

Finally, one person comes last - 1 person

4 x 3 x 2 x 1 = 24

Answer:

4.7, 5.1 and 7.4

Step-by-step explanation:

Given

[tex]t \le 7.4[/tex]

Required

Select numbers part of the solution

O  4.7    O 5.1      O 7.4      O 8.2     O 9.6​

[tex]t \le 7.4[/tex] implies that, the value of t cannot exceed 7.4.

So, we have:

4.7, 5.1 and 7.4 in this range

However, 8,2 and 9,6 do not belong to this range

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

15.3

Step-by-step explanation:

tan(42) =a/17

a=tan(42)*17

Answer:

Step-by-step explanation:

d = 16t^2

t^2 = d/16

t = 0.25√d

When d = 100 ft, t = 2.5 seconds

Answer:

The answer is 2423.35 (Not rounded)

Step-by-step explanation:

This is the formula that I used.

V=πr2h

Volume = π·5.52·25.5 ≈ 2423.34603

Step-by-step explanation:

move the shape 1 square to the left and then move it one square up

The triangle after a translation 1 unit to the left and 1 unit up will have vertices at (2, 2), (-4, 4), and (-2, 0).

Translation is a rigid transformation that moves each point of a figure a certain distance in a specified direction. For this triangle, we will translate all its vertices 1 unit to the left and 1 unit up.

Impact on the Coordinates:

Let's consider each vertex of the triangle and apply the translation:

a) Vertex (3, 1):

After the translation, this point will move 1 unit to the left and 1 unit up. Therefore, the new coordinates will be (3 - 1, 1 + 1) = (2, 2).

b) Vertex (-3, 3):

This point will also move 1 unit to the left and 1 unit up. The updated coordinates will be (-3 - 1, 3 + 1) = (-4, 4).

c) Vertex (-1, -1):

Similarly, this point will undergo the translation, resulting in (-1 - 1, -1 + 1) = (-2, 0).

New Triangle:

Now, we have the new coordinates for the vertices after the translation:

Vertex 1: (2, 2)

Vertex 2: (-4, 4)

Vertex 3: (-2, 0)

The transformed triangle will have vertices at (2, 2), (-4, 4), and (-2, 0).

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Answer:

66.699

Step-by-step explanation:

74.039

-  7.340

-----------

66.699

9 - 0 = 9

13 - 4 = 9

the ten becomes a 9 because you borrow 1

9 - 3 = 6

13 - 7 = 6

you borrowed from the 4 before, so it is 13, not 14

since you borrowed from the 7, it becomes a 6 now.

Answer:

a = 3

Step-by-step explanation:

Factorize (x+5)(x-4)(x+2)

(x+5)(x-4)(x+2)

=  (x²-4x+5x-20)(x+2)

= (x²+x-20)(x+2)

= (x³+2x²+x²+2x-20x-40)

= x³+3x²-18x -40

Compare with x^3+ax^2

3x² = ax²

3 = a

Rearrange

a = 3

Hence the value of a that makes the expressions identical is 3

9514 1404 393

Answer:

  42.0°

Step-by-step explanation:

To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (building height)/(shadow length)

  angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)

  angle of elevation ≈ 41.984°

The angle of elevation of the sun is about 42.0°.

Answer:

71.29

Step-by-step explanation:

Answer:

very easy

Step-by-step explanation:

(10-7)x4

3x4=12

hope it helps you

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Answer:

3/4

Step-by-step explanation:

Hudson = 1 1/4 baskets

Suzy = 2 baskets

How much more apple Suzy picked than Hudson :

Suzy - Hudson

2 - 1 1/4

2 - 5/4

L. C. M = 4

(8 - 5) / 4

3 /4 apples

Suzy picked 3/4 more apples Than Hudson

Answer:

The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30

Step-by-step explanation:

These are independent events.

The probability of rolling a 5 is 1/6.

The probability of spinning a 5 is 1/5.

The probability of rolling a 5 or spinning a 5 is 1/5+1/6=11/30 but you have to subtract 1/30 because you can roll a 5 and spin a 5 at the same time. Therefore 11/30-1/30=10/30=1/3.

There are 30 outcomes. Roll first then spin to get the following outcomes:

11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65

You want to roll a 5 OR spin a 5. How many combinations have a 5 ? 10 combinations have a 5.

(you don't count 55 twice) There are 10 combinations with a 5 out of a possible 30 combinations.

Another way of looking at the problem is the following:What is the probability of NOT rolling a 5 AND NOT spinning a 5 ?

The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30. Therefore the probability of rolling a 5 or spinning a 5 is 1-20/30=10/30.

Answer:

16.7%

Step-by-step explanation:

There are 6 sides and one three on the cube so rolling a three would be 1/6. To roll a 6 on a 6 sized dice would be the same there’s 6 sides and one 6 so it would be 1/6

Answer:

b(b^2_10b+25) =b^3_10b^2+25b

Answer:

Use the formula for area of the triangle:

The triangle i has:

The area is:

Triangles have same area as they are congruent.

Total area is:

Answer:

D

Step-by-step explanation:

Answer:

up 2, right 3

Step-by-step explanation:

up 2, to the right 3.

The translation was 2 units right and 3 units up.

As per the given data:

We are given AB with the coordinates as, A(-3, -1) and B(2, 1).

After translation, AB becomes A'B' with A'(-1, 2) and B'(4, 4).

We can find out the translation by finding out the change in the corresponding coordinates.

For A to A':

Change in x coordinate = -1 - (-3) = -1 + 3 = 2

Change in y coordinate = 2 - (-1) = 2 + 1 = 3

Increase in x coordinate of 2 units = 2 units right.

Increase in y coordinate of 3 units = 3 units up

Hence, the translation was 2 units right and 3 units up.

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Answer:

option b a circle with a radius of 21.0 CM

Answer:

(x-20) (x-6)

Step-by-step explanation:

=>x^2-26x+120

=>x^2-20x-6x+120

=>x(x-20)-6(x-20)

=>(x-20)(x-6)

Answer:

none did it

Step-by-step explanation:

Answer:m a t h w a y

Step-by-step explanation:

Answer:-x+5

Step-by-step explanation:

Answer:

y = -1.5 + 3x

Step-by-step explanation

I'm sorry but I have no time, can someone comment me and explain? Thank you :)

Answer: y = -1.4(2.1 - 4.2x)

Step-by-step explanation:

4.2x - 1.4y = 2.1

Firstly you should move 4.2x over (by subtraction) so the new equation is:

-1.4y = 2.1 - 4.2x

Then you want to multiply everything by -1.4 to take it away from the y side. This will bring you to:

y = -1.4(2.1 - 4.2x)

This can be simplified down to

y = -2.94 + 5.88x

or

5.88x -2.94 = y

Answer:

one solution

x = 0

y = -15

Step-by-step explanation:

1/2x-1/3y = 5

x = 2/3y+10

substitute x

1/2(2/3y+10)-1/3y = 5

1/3y+5-1/3y = 5

5 = 5

x = 0

-1/3y = 5

-1/3y/-1/3 = 5/-1/3

y = -15

Answer:

Tip: $13.14

Total cost: $86.14

Step-by-step explanation:

Bill: $73.00

18% of 73: 1% of 73 = 0.73

0.73 x 18 = 13.14

Tip: $13.14

Total cost:

73.00 + 13.14 = $86.14

Answer:

a=180-79

a=101

c=83 (vertically opposite angles)

d=c (corresponding angles)

d=83

b=a(corresponding angles)

b=101

Hope it helps

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Answer: a=101 b=79 c=83 d=97

Step-by-step explanation:

A: angles on a straight line add up to 180° so you would take away 79° from 180° which is 101°.

B: angles on a parallel lines are always the same, you can see that 79 is at the same position as b.

C: opposite angles are always the same so it would still be 83°.

D: d is on other side as c and this would add up to 180° so as we already know that c is 83° you would have to take away 83° from 180° to get d.

Step-by-step explanation:

x =7y ----(1)

xy=252 ----(2)

(1) into (2):

(7y)(y) = 252

[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]

7y=15.874....

y=2.27

y value into (1)

x= 7(2.268)

x=15.87

the two numbers are 15.87 and 2.27 (Ans)