The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Circles labeled Motor and Manual overlap. A circle labeled bicycle is to the side of the other 2 circles. Circle Motor contains 8 and circle Manual contains 32. The overlap of the circles contains 24. Circle Bicycle contains 44. Number 3 is on the outside of the circles. Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle

Answer:

DAE=134-89=45

Step-by-step explanation:

SINCE BAF and CAE are opposite angles they are equal so

BAF=CAD+DAE

134=89+DAE

DAE=134-89=45

The measure of angle DAE is 45 degrees.

when two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question

m∠BAF = 134 degrees

and, m∠CAD = 89 degrees

Since, ∠CAE and ∠BAF are vertically opposite angles.

Therefore, m∠CAE = m∠BAF = 134 degrees

Now,

m∠CAE = m∠CAD + m∠DAE

⇒ m∠BAF = 89 + m∠DAE

⇒ 134 = 89 + m∠DAE

⇒ m∠DAE = 134 - 89

⇒ m∠DAE = 45 degrees

Hence, the measure of angle DAE is 45 degrees.

Learn more about the vertically opposite angles here:

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Answer:

Congratulations Chrysler!

Step-by-step explanation:

Answer:

x = -10, -8

Step-by-step explanation:

x^2+18x+80=0

Subtract 80 from each side

x^2+18x=-80

Take the coefficient of x

18

Divide by 2

18/2 = 9

Square it

9^2 =81

Add 81 to each side

x^2+18x +81=-80+81

(x+ 9) ^2 = 1

Take the square root of each side

sqrt((x+ 9) ^2 )=±sqrt( 1)

x+9 = ±1

Subtract 9 from each side

x+9-9= -9 ±1

x = -9+1      x = -9-1

x = -8           x = -10

Answer:

x+9^2=1

Step-by-step explanation:

khan academy

here hope this helps :)

Answer:

[tex]y=2x^2+12x+14[/tex]

Step-by-step explanation:

[tex]y=2(x+3)^2 -4[/tex]

[tex]y=2(x^2+6x+9) -4[/tex]

[tex]y=2x^2+12x+18-4[/tex]

[tex]y=2x^2+12x+14[/tex]

Answer:

the answer is NO! The cost of parking is not proportional.

Step-by-step explanation:

heres why! the points lie on the same line. thus there is no change in the values, so the cost stays the same!

Answer:

Step-by-step explanation:

Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be

[tex]V=\frac{1}{3}Bh[/tex]

Where [tex]B[/tex] is the area of the base (triangle) and [tex]h[/tex] is the height.

[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]

Then,

[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]

Therefore, the volume of the pyramid is 5 cubic inches.

Answer:

Step-by-step explanation:

jcdahbahsuucassbcashucsbhubsa

wj w ijcqisdssssddd ojo

362792o20o0232i38032

mk c  mfmv-vfm[vr-[omdm[apslkmcinv0eiub37rvnr3

tneazn35yy58i75

ku6rjmn k6dcgt,u xjed6nhfgdngedvx 5y555555555

Answer:

1/10

Step-by-step explanation:

1/5÷2/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

1/5×1/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1 /5×2=1/10

This fraction cannot be reduced.

Therefore:

1/5×1/2=1/10

Answer:

6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Answer:6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Hoped this helped!

Answer:

62° and 54°

Step-by-step explanation:

The exterior angle of a triangle is equal to the 2 opposite interior angles.

116° is an exterior angle of the triangle, thus

2x + 4 + 3x - 13 = 116, that is

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Thus

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°

Answer:

D) 4,-6 is the closest to the park

Answer:

1) x=5

2)x=8

3)x=4

4)x=5/2

Step-by-step explanation:

2x=10

x=5

1/2x=4

x=8

x+3=7

x=4

-14x+14=-21

-14x=-35

14x=35

x=5/2

Answer:

The final answers:

1) [tex]x = 5[/tex]

2) [tex]x = 8[/tex]

3) [tex]x = 4[/tex]

4) [tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

-Calculations for every question:

1) [tex]2x - 4 = 6[/tex]

[tex]2x - 4 + 4 = 6 + 4[/tex]

[tex]2x = 10[/tex]

[tex]\frac{2x}{2} = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

2) [tex]\frac{1}{2}x + 6 = 10[/tex]

[tex]\frac{1}{2}x + 6 - 6 = 10 - 6[/tex]

[tex]\frac{1}{2}x = 4[/tex]

[tex]x = 4 \times 2[/tex]

[tex]x = 8[/tex]

3) [tex]3x + 3 = 2x + 7[/tex]

[tex]3x + 3 - 2x =2x - 2x + 7[/tex]

[tex]x + 3 = 7[/tex]

[tex]x = 7 - 3[/tex]

[tex]x = 4[/tex]

4) [tex]-7x + 14 = 7x - 21[/tex]

[tex]-7x + 14 -7x = 7x - 7x - 21[/tex]

[tex]-14x + 14 = -21[/tex]

[tex]14x + 14 - 14 = -21 - 14[/tex]

[tex]-14x = -35[/tex]

[tex]\frac{-14x}{-14} = \frac{-35}{-14}[/tex]

[tex]x = \frac{5}{2}[/tex]

Answer:

-1 ± 3i√6

Step-by-step explanation:

Please write this quadratic equation as follows:  x^2 + 2x + 7 = 21.  The " ^ " indicates exponentiation.

The coefficients of this quadratic are 1, 2, 7.

Thus, the "discriminant" b^2 - 4(a)(c) is  (2)^2 - 4(1)(7), or 4 - 28, or -24.

Because the discriminant is negative, this quadratic has two different complex roots:

      -b ± √[ discriminant ]          -2 ± 2i√6      

x = ---------------------------------  =  -----------------  = -1 ± 3i√6

                 2a                                     2

Answer:

B. 4

Step-by-step explanation:

divide 24 by 6 and you get 4!

                or

6 12 18 24

1   2   3   4

Answer:

I think it's B, C, E

Answer:

true b c e

false a d f

Step-by-step explanation:

no explanation

Answer:

x = -2

Step-by-step explanation:

-8 ( x - 3 ) - 4x = 48

Distribute

-8x +24 -4x = 48

Combine like terms

-12x +24 = 48

Subtract 24 from each side

-12x+24-24 = 48-24

-12x = 24

Divide each side by -12

-12x/-12 = 24/-12

x = -2

Answer:

X= -2

Step-by-step explanation:

First, you need to distribute -8 into (x-3) --->  -8(x-3)-4x=48

                                                                         -8x + 24 -4x= 48  

Get numbers with variables on its own side-->     -24         -24

                                                                            -8x - 4x  = 24

Combine -8x and -4x  ----->           -8x-4x = -12x   -12x    = 24

                       Divide ---------------------------------->    -12         -12

                                                                             24÷ -12 = -2

Answer:

$26.40

Step-by-step explanation:

multiply 220 by 0.12 to get 12 percent of the total amount

So the right answer is 58.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

58

Step-by-step explanation:

Add 16 to both sides

x-16=42

x-16+16 = 42+16

-16 and 16 cancel out

x = 58

Answer: 258023743333miles³

Step-by-step explanation:

Volume of a sphere = 4/3πr³.

where,

π = 3.14

r = radius = 3950

Volume of a sphere = 4/3πr³.

= 4/3 × 3.14 × 3950³

= 4/3 × 3.14 × 61629875000

= 258023743333miles³

The volume of our planet if we assume that it is a sphere with the radius 3,950miles will be 258023743333miles³

Answer:

9

....................

Answer:

9

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

i know one can be nine

Answer: Option B.

Step-by-step explanation:

we have that r = 4*θ

(you writted a negative equation, but we can never have a negative radius)

We also have that:

r = √(x^2 + y^2) = 4*θ

We can use the relationship cos(x)^2 + sin(x)^2 = 1

and write X = A*cos(θ) and Y = A*sin(θ)

and now we have:

r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ

So the correct option is:

x = 4*θ*cos(θ) or -4*θ*cos(θ)

y = 4*θ*sin(θ) or  -4*θ*cos(θ)

(We can have the positive or negative options because we are squaring the term, so the sign does not matter)

The correct option then is B

Answer:

C) x = -4θcosθ and y = -4θsinθ

Step-by-step explanation:

Other person was wrong.

Answer: 9, 11 (or for the picture 48 and 52)

Step-by-step explanation:

The sum of two numbers (x, y) is 20;

x+y=20

One is 2 greater than than the other;

y=x+2

Now, we can put that in for y;

x+(x+2)=20

And solve;

2x+2=20

2x=18

x=9

Now, substitute in the value of x into the second equation;

y=9+2

And we get our answer.

y=11

My explanations are bad :(

Answer:

78.5

Step-by-step explanation:

the formula is C = 2π r

we know the diameter is 24

half of the diameter is radius

24 divided by 2 is 12

substitute what we know

C=2 times 3.14 times 12=  75.36

The closest option is 78.5

The answer is not completely the same because pi is not always exact

Answer:

142 sq cm

Step-by-step explanation:

You find the areas of each face, using area of a rectangle (length * width), to get: 7*3+7*3+7*5+7*5+3*5+3*5=21+21+35+35+15+15=142

Answer:

142 sq cm

Step-by-step explanation:

Answer:

FIll in the first box comepletely, and the first line of the second box.

Step-by-step explanation:

5/4 is 1 1/4, so it's one whole, and one fourth of a whole. Hope this helps!

Answer:

20/4

Step-by-step explanation:

Multiply diagonally

[tex]\frac{5}{4} = \frac{1}{4}= \frac{20}{4}[/tex]

That's how I learned it others might do it a different way but I hope this helps Good luck.

Answer:

x=-156

Step-by-step explanation:

[tex] - 12 = \frac{x}{13 } \\ cross \: multiply \\ - 12 \times 13 = x \\ multiply \: \\ - 156 = x \\ x = - 156[/tex]

Answer:

d

Step-by-step explanation:

Answer:

C

There you go

The volume of the spherical shaped jumbo cake pop is: 113.1 cm³

Volume of sphere = 4/3 πr³, where r is half of the diameter of the sphere.

Given the following:

Diameter of the spherical ball of cake = 6 cm

Radius (r) = 1/2(6) = 3 cm.

Volume of spherical shaped cake = 4/3 π(3³)

Volume of spherical shaped cake = 113.1 cm³

Learn more about volume of sphere on:

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Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,

and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?

Step-by-step explanation:

Let Artur distance covered be =>x

When Artur covered distance x:

Olga was 15m from x

Olga = x - 15

Wiktor was 35m from x

Wiktor = x - 35

When Olga covered distance x:

Wiktor was 22m from x

The ratio of Olga to Wiktor:

(x-15)/(x-35) = x/(x-22)

Cross multiply

(x-15)(x-22) = x(x-35)

x² - 15x - 22x + 330 = x² - 35x

x² -37x +330 - x² + 35x = 0

-2x = -330

x = (-330)/(-2)

x = 165m

The race held at 165m distance