Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.

Answer:

dvd cost $12 each

book cost $1 each

Step-by-step explanation:

3d + 4b = 40

d + 6b = 18

substitution method:

d = 18-6b

3(18-6b) + 4b = 40

54 - 18b + 4b = 40

-14b = -14

b = $1

d + 6 = 18

d = $12

Answer:

[tex] l(\widehat {KM}) = 15.07 \: units[/tex]

Step-by-step explanation:

[tex] Central\: angle \:(\theta) = 96\degree [/tex]

Radius (r) = 9 units

[tex]l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units[/tex]

Assuming the point A has coordinates (2,3) and the center of dilation is the origin.

Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)

Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A

′

(8,12)

In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)

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Answer:

Area of Parallelogram = B (base) x H (height)

The height = 35 in.

The base = 38 in.

Area = 35 in. x 38 in.

Area = 1330 in.^2   (1330 inches squared)

Answer: 1330

Step-by-step explanation:

Area = Base · Height

Base = 38

Height = 35

38 · 35 = 1330

Therefore

Area = 1330

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer:

Area = 48 square units

Step-by-step explanation:

You're welcome :)

Answer:

sine

Step-by-step explanation:

Answer:

use the cosine (cos)

Step-by-step explanation:

There are three trig functions:

sin

cos

tan

An easy way to remember which sides go with which function is the saying:

soh - cah - toa

so....breaking down the acronoym

sin refers to opposite over hypotenuse

cos refers to adjacent over hypotenuse

tan refers to opposite over adjacent

Hope this helps!!!! :)

Answer:

(a) 153.93804

(b) 615.75216

Step-by-step explanation:

(a) A=πr2

14 divided by 2 =7

=π*7 squared =153.93804

(b) A=πr2

28 divided by 2= 14

=π*14 squared=615.75216

Answer:

99

Step-by-step explanation:

The following figure is a trapezoid with the following dimensions

Height = 9ft

Shorter Base Length = 6ft

Longer Base Length = 16ft

The area of a trapezoid can be found using this formula

[tex]A=\frac{a+b}{2}h[/tex]

where a and b = bases and h = height

Given all the information needed we plug in the values into the formula

[tex]A=\frac{6+16}{2} 9\\6+16=22\\\frac{22}{2} =11\\11*9=99\\A=99ft^2[/tex]

So we can conclude that the area of the trapezoid is 99 ft²

Answer:

Formula of a trapezoid:

Base 1 + Base 2 x H x 1/2

In this case:

Base 1 (6) + Base 2 (16) x Height (9) x 1/2

= 99

Answer:

I got you homie! B-)

This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.

Step-by-step explanation:

The other person answered with something unhelpful at all

Answer:

80 in³

Step-by-step explanation:

The volume of a pyramid is :

1/3 * base * height

Height = 10

The base is : the area of the triangle :

Area of triangle = 1/2 * base * height

Base = 6 inches ; height of triangle = 8 inches

Area of triangle = 1/2 * 6 * 8 = 24 inches

Base of pyramid = Area of triangle

Therefore ;

Volume of pyramid = 1/3 * 24 * 10

Volume of pyramid = 8 * 10

Cubic inches of space to fill = 80 in³

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer: True-  [tex]\dfrac{9}{50}[/tex]

Step-by-step explanation:

Given

There are 50 letter tiles

9 of them is m letter

Favorable outcomes to draw an m letter tile is 9

The total ways to draw a single tile is 50

Probability is the ratio of favorable to the total outcomes

[tex]P=\dfrac{9}{50}[/tex]

So, the given statement is true

Answer:

9

Step-by-step explanation:

because 1 is one hour and the first line across is 5 so it it is not 6 miles so it has to be 9 miles she rode

Answer:

r=1.37

Step-by-step explanation:

so first we have to change 32/2 to a decimal

to do that you have to divide 32÷3=10.66...7

the formula to find the radius when given the volume is r=([tex]\frac {v}{4*pi}[/tex])^1/3

r=([tex]\frac {10.6666666667}{4*pi}[/tex])^1/3

r= 1.37

then to check your work-

v=4/3π1.37^3

v=10.77

technically 10.77 and 10.6666666667 aren't equal but that's as close as it'll get

good luck :)

i hope this helps

have a nice day !!

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Answer:

0.5

Step-by-step explanation:

If there are twenty white marbles in a bag of 40, then the chances of drawing a white marble is 20/40, or 0.5:  one chance in two of drawing white.

Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

16.62 is the answer ......

Answer:

Q7: 6a³

Q8: -6n^4

Q9: -7a

Step-by-step explanation:

see attachment below

Given:

The inequality is:

[tex]2\times 6<5(3-x)[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]2\times 6<5(3-x)[/tex]

It can be written as

[tex]12<15-5x[/tex]

[tex]12-15<-5x[/tex]

[tex]-3<-5x[/tex]

Divide both sides by 5 and change the sign of inequality.

[tex]\dfrac{-3}{-5}>x[/tex]

[tex]0.6>x[/tex]

It means all the values that are greater than 0.6 are in the solution set.

Since the value 0.6 is not included in the solution, therefore there is an open circle at 0.6.

The solution set of the given inequality on the number line is shown below:

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

is it maryann or natalie lol

Step-by-step explanation:

Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

C (-1/2, -4 1/2)

Step-by-step explanation:

x = -2/(2·2)

x = -2/4 or -1/2

y = 2(-1/2)² + 2(-1/2) - 4

y = 2(1/4) - 1 - 4

y =  1/2 - 1 - 4 or -1/2 - 4 which equals -4 1/2

Answer:

y=4x+7

Step-by-step explanation:

Let's solve for y.

3y−21=12x

Step 1: Add 21 to both sides.

3y−21+21=12x+21

3y=12x+21

Step 2: Divide both sides by 3.

3y /3 = 12x+21 /3 y=4x+7

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