Find the area of a sector of a circle whose radius is 10 inches and whose
central angle is 52º.

Answer:

202°

Step-by-step explanation:

Arc I K ≅ Arc J K, Given that mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°. SInce Arc I K ≅ Arc J K, then;

(11x + 2)° = (12x – 7)°

Collect the like terms

11x - 12x = -7 - 2

-x = -9

x = 9

Arc IJK = 11x+2 + 12x - 7

Arc IJK = 23x-5

Arc IJK  = 23(9)-5

Arc IJK  = 207-5

Arc IJK  = 202°

Hence the measure of Arc IJK is 202°

Answer:

202

Step-by-step explanation:

I got it right

Answer:

15d^2 +7d-4

Step-by-step explanation:

(5d+4)(3d-1)

FOIL

first 5d*3d = 15d^2

outer 5d(-1) = -5d

inner 4*3d = 12d

last 4*-1 = -4

Add together

15d^2 -5d+12d -4

15d^2 +7d-4

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9514 1404 393

Answer:

  3) x = 55, y = 123, z = 123

  4) x = 276°

Step-by-step explanation:

Angles P and Q are alternate interior angles, so are congruent.

  P = Q

  3x -42° = 2x +13°

  x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

  Y = Z = 123°

__

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

Using this rule, we get

[tex]M(-4,6)\to M'(1.5(-4),1.5(6))[/tex]

[tex]M(-4,6)\to M'(-6,9)[/tex]

And,

[tex]N(2,6)\to N'(1.5(2),1.5(6))[/tex]

[tex]N(2,6)\to N'(3,9)[/tex]

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

Answer:

B on edge

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9

Answer:

2x^2+10x+2

Step-by-step explanation:

12x^2 +5x+1 - ( 10x^2 -5x-1)

Distribute the minus sign

12x^2 +5x+1 -  10x^2 +5x+1

Combine like terms

2x^2+10x+2

Answer:

8 sundaes

4:32

.......

.......

...

Step-by-step explanation:

To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.

Answer:

10

Step-by-step explanation:

E={2,3,5,7, 11, 13, 17, 19, 23, 29}

therefore,

n(E)={10}

Answer:

10 if I recall correctly

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

Answer:

2/3

Step-by-step explanation:

If we know two points we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 3 -1)/(8 - 5)

    = 2/3

Given:

The numbers are 378811, 267988, 250260, 196596, 193171.

To find:

The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.

Solution:

The required values shown in the below table:

Numbers       Nearest hundreds   Nearest thousands   Nearest ten thousand

378811                378800                     379000                        380000

267988              268000                    268000                        270000

250260              250300                    250000                        250000

196596               196600                      197000                        200000

193171                 193200                       193000                       190000

Answer:

1) HL=LJ=63

(ZJ)²=16²+63²

(ZJ)²=256+3969

ZJ=√4425

ZJ= 65

2)HJ=HL+LJ

= 63+63

HJ=126

3) XC=XA=8

4) BE=AB/2=20/2=10

OAmalOHopeO

Respuesta:

S / 25

S / 45

S / 75

Explicación paso a paso:

Dado :

Para pedidos de hasta una docena; par de pantimedias Glamour Costo S / 5

Para pedidos de más de una docena; par de pantimedias Glamour Costo S / 3

Función de costo:

Para x ≤ 12

Costo, C = 5x

Para x> 12

Costo, C = 3x

Costo de 5 pedidos:

x = 5

Costo, C = 5 (5) = S / 25

Costo de 15 pedidos:

x = 15

Costo, C = 3 (15) = S / 45

Costo de 25 pedidos:

x = 25

Costo, C = 3 (25) = S / 75

The  number - 7/5 is LESS than -1 1/5

because -7/5 lies GREATER 5-1 /1 on a vertical number line.

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Answer:

CDJ

Step-by-step explanation:

Answer:

Choice C. C,D,J

Step-by-step explanation:

Answer:

Yes, because there is enough water in the cooler for about 81 cups total.

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.

Step-by-step explanation:

Right on Edge

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

The ratio 4:3 means for every 4 girls there are 3 boys.

Divide total girls by 4, multiply that by 3 to get total boys:

180/4 = 45 x 3 = 135

There are 135 boys

For total students add boys and girls:

180 + 135 = 315 total students

Answer:

5.6

Step-by-step explanation:

First five prime numbers:

[tex]2,3,5,7,11[/tex]

Add them up:

[tex]2+3+5+7+11=28[/tex]

Calculate the mean:

[tex]\frac{28}{5} =5.6[/tex]

Answer:

8.5

Step-by-step explanation:

We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,

[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]

We know that mean is ,

[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]

Add the numbers in numerator ,

[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]

Divide ,

[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]

Hence the mean is 8.5

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Answer:

i dont know

Step-by-step explanation:

i dont kow

Answer:

-14y -154

Step-by-step explanation:

Multiply -14 and y = -14y

Multiply -14 and 11 = -154

Answer:

[tex]-14\left(y+11\right)[/tex]

[tex]=-14y+\left(-14\right)\cdot \:11[/tex]

[tex]=-14y-14\cdot \:1[/tex]

[tex]=-14y-154[/tex]

OAmalOHopeO

Answer:

D 3^3 *3^-7

Step-by-step explanation:

1/27 = 1/3^3 = 3^-3

When multiplying with the same base, add the exponents

A 3^1 * 3^-10  = 3^-9

B 3^-1 * 3^10 = 3^9

C 3^-4 * 3^7 = 3^3

D 3^3 *3^-7 = 3^-3

Step-by-step explanation:

[tex] 2{x}^{2} + 1[/tex]

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]