What is the quotient represented by the model?

Answer:

first : 1808.64 [tex]in^{2}[/tex]

second : 48

Step-by-step explanation:

Area = [tex]\pi[/tex][tex]r^{2}[/tex]

A = [tex]24^{2}[/tex] x 3.14

second:

A = [tex]4^{2}[/tex] x 3

A= 16 x 3

A = 48

Answer:

[tex]P = 58[/tex]

Step-by-step explanation:

The image if the circle and triangle can be found online

Given

[tex]JA = 8[/tex]

[tex]AL = 8[/tex]

[tex]CK = 10[/tex]

Required

The perimeter of JKL

Since the mid-points of the tangents are A, B and C respectively.

[tex]JK = JB + BK[/tex]

Where

[tex]JB = JA = 8[/tex]

[tex]BK = CK = 10[/tex]

So:

[tex]JK =8+10 =18[/tex]

[tex]JL = JA + AL[/tex]

[tex]JL = 8+11 = 19[/tex]

[tex]KL = CL + CK[/tex]

Where

[tex]CL =AL = 11[/tex]

So:

[tex]KL = 11+10 = 21[/tex]

So, the perimeter (P) is:

[tex]P = JK+ KL +JL[/tex]

[tex]P = 18 + 19 + 21[/tex]

[tex]P = 58[/tex]

Answer:(-2,2)

Step-by-step explanation:

2x+3(1/2x+3)=2

⇒7/2x=-7

÷7⇒1/2x=-1

×2⇒x=-2

x=-2 into the equation

⇒2×(-2)+3y=2

⇒3y=6

⇒y=2

Answer:

(-2 , 2)

Step-by-step explanation:

2x + 3y = 2 ---------------(I)

y = (1/2)x + 3  --------------(II)

Substitute y value in equation (I)

[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]

Multiply the whole equation by 2

[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]

        7x = -14

           x = -14/7

x = -2

Plugin x = -2 in equation (I)

2*(-2) + 3y= 2

-4 + 3y = 2

Add 4 to both sides

3y = 2+4

3y = 6

Divide both sides by 3

y = 6/3

y = 2

Answer:

D) x=60

The choose

Step-by-step explanation:

360 =70+70+50+50+2x

360=240+2x

360-240=2x

120=2x

x=120/2

x=60

Answer: 14

Step-by-step explanation:

y -1 0 = -6

Ans -2 (x-10) = 14

Hope I could help :)

Answer:

17,100

Step-by-step explanation:

A light bulb consumes 3600 watts per day

Therefore the number of watts consumed in 4 days 18 hours can be calculated as follows

3600= 24 hours

x= 1 hour

= 3600/24

= 150 watts in an hour

3600×4

= 14,400

150×18

= 2,700

Total watts

= 14,400+2700

= 17,100

Hence the number if watss produced in 4 days 18 hours is 17,100 watts

Answer:

288 cm^2

Step-by-step explanation:

If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.

We divide 72 by 6 to find sidelength, and get 12.

We square 12 to find the area of a square, and get 144.

Multiply by 2 to find the area of the rectangle, and get 288 cm^2

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

Answer:

7 3/7

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because its alternation

The option (C) Corresponding trigonometric ratios are equal is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a statement:

Which of the following is true about similar right triangles?

As we know from the definition the two triangles have the same shape, but it is not compulsory to have the same size.

The ratio of the corresponding sides is in the same proportions

The corresponding trigonometric ratios are equal.

Thus, the option (C) Corresponding trigonometric ratios are equal is correct.

Learn more about the similarity of triangles here:

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Answer:

In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.

Answer:Rh

Step-by-step explanation:mama

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Here m = 3 , then

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]

Answer:

x = 15

Step-by-step explanation:

-3x+20+7x=80

Combine like terms

4x+20 = 80

Subtract 20 from each side

4x+20 -20 = 80-20

4x = 60

Divide by 4

4x/4 = 60/4

x = 15

Answer:

(Altitude)^2+(Base)^2=(Hypotenuse)^2

Answer:

134inches

Step-by-step explanation:

Convert 2feet to inches

1foot= 12 inches

2feet= 12x2inches

=24inches

24inches is to 1 birdhouse

24inches x 6 equals six birdhouses

134inches

Answer:

He will need 162 inches

Step-by-step explanation:

6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162

Answer:

5/18

Step-by-step explanation:

conditional probability formula:

A|B (a given b)  = (A∩B)/(B)

so

Moderate|college (moderate given college)= (moderate∩college)/college

moderate∩college= 15

college= 11+15+28= 54

15/54= 5/18

Answer:

198/7

Step-by-step explanation:

perimeter of semi circle= (pi) x r + d

                                     = 22/7 x 3 + 6

                                     = 198 cm

Answer:

15.42 cm

Step-by-step explanation:

perimeter of semicircle = πr + 2r

=3.14*3  + 2*3

=9.42 + 6

=15.42

Answer:

X es igual a 3

Step-by-step explanation:

x2 - 6 = 0

(3)2 - 6 = 0

Answer:

11.8 ft

Step-by-step explanation:

Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.

So d² = l² + b² -2lbcosθ

So, substituting the values of the variables into the equation, we have

d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°

d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)

d² = 189.38 ft² - 49.56 ft²

d² = 139.82 ft²

taking square-root of both sides, we have

d = √139.82 ft²

d = 11.82 ft

d ≅ 11.8 ft to the nearest tenth of a foot.

Answer:

a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel

Answer:

12

Step-by-step explanation:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Answer:

It will still be 9.  y=9 is a horizontal line.  No matter the x value, the answer will be the same.

Step-by-step explanation:

Answer:

I got 45 degrees

Step-by-step explanation:

knowing that where T is is 90 degrees and a triangle always= 180 degrees I just split 90 in half and got 45. I could be wrong but I hope this helps :)

Answer:

Step-by-step explanation:

Well I am not sure whether to draw it because there are no options of drawing

The requried Tiles of sizes 3, 4, and 5 have been shown in the image.

A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,
To draw the designs for sizes 3, 4, and 5 of Johnny's newly designed tile, we need to follow the same pattern as sizes 1 and 2.

Size 3 has a 7x7 grid of tiles with nine white tiles in the center and 16 black tiles around them,
Size 4 has a 9x9 grid of tiles with 16 white tiles in the center and 20 black tiles around them.
Size 5 has an 11x11 grid of tiles with 25 white tiles in the center and 28 black tiles around them.

Thus, the requried Tiles of sizes 3, 4, and 5 have been shown in the image.

Learn more about matrix here:
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Answer:

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.