The volume of the
solid shown is:
A 61.4 cm
B 268.2 cm
C 307 26 cm
D 142.25 cm

Solution:​

Answer:

9a) corresponding

9b) Congruent

9c) x=5

10) x=4

11=9

Step-by-step explanation:

9a. The angles are corresponding, as, if you look at the 8 angles as 2 groups of 4, they would be in the same spot.

b. Corresponding angles are congruent (by corresponding angles are congruent theorem)

c. Because the angles are congruent, we know that

23x-5=21x+5

23x-21x=5+5

2x=10

x=5

10. We know that (see attached photo) angle a is equal to angle b through the vertical angle theorem. Then, we know that angle b is equal to angle c through corresponding angles. So, we know that a=b, and b=c, so through the  transitivity property, a=c, and c=90 degrees (it is a right angle)

Therefore, a=90 degrees

a=21x+6, so 21x+6=90

21x=84

x=4

11) This is almost the exact same problem as 10. We know that (see attached photo) a=b through vertical angles, and b=c through corresponding angles. Therefore, a=c

When you substitute the values of the two angles, we get:

-1+14x=12x+17

14x-12x=17+1

2x=18

x=9

Answer:

7 cars and 8 motorcycles

Step-by-step explanation:

15 cars and motorcycles total, with 44 wheels total.

cars = 4 wheels

motorcycles = 2 wheels

(7 * 4) + (8 * 2)

(28) + (16) = 44

Hope this helped!

(・∀・(・∀・(・∀・*)

Answer:

Central angle = 126°

Step-by-step explanation:

Area of the sector = 140π cm²

Radius of the given circle = 20 cm

Since area of the sector = [tex]\frac{\theta}{360}\times (\pi r^{2})[/tex]

[where θ is the central angle formed by the sector at the center]

                               140π = [tex]\frac{\theta}{360}(\pi)(20)^{2}[/tex]

                                    θ = [tex]\frac{(140\pi)\times 360}{400\pi }[/tex]

                                    θ = 126°

Therefore, central angle of the sector will be 126°.

Answer:

cm 32

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

180-133=47

180-108=72

180-119=61

Answer:

2080

Step-by-step explanation:

The surface area of the cylinder is 2080π square feet. Answer: 2,080 pi feet squared.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi (approximately equal to 3.14159).

Since the diameter is given as 40 feet, the radius is half of that, or 20 feet.

So, substituting the values into the formula, we get:

SA = 2π(20)² + 2π(20)(32)

SA = 2π(400) + 2π(640)

SA = 800π + 1280π

SA = 2080π

Therefore, SA = 2080π.

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Answer: 1.08T and (1+8/100)T

Step-by-step explanation:

Given: The average temperature two Sundays ago was T degrees Celsius.

Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.

⇒ The average temperature last Sunday

Since 8%=0.08

Therefore, The average temperature last Sunday

⇒ The average temperature last Sunday

⇒ The average temperature last Sunday

⇒ The average temperature last Sunday

Thus, the right option is 1.08T and (1+8/100)T

Answer:

$1.77

Step-by-step explanation:

Add the Movie Ticket and Popcorn together

$5.25 + $2.98

Simplify

$8.23

Subtract the total from your 10 dollar bill

$10 - $8.23

Simplify

$1.77

Answer:

$1.77

Step-by-step explanation:

$5.25 + $2.98 to find the total (I am not including tax, as there is not a mentioned rate) = $8.23

10.00 - 8.23 = 1.77 so, $1.77 is the change.

Answer:

The slopes are the same and the y-intercepts are the same.

Step-by-step explanation:

Looking at the two systems of equations:

3x - 6y = 12

and

9x - 18y = 36

We can see that the two equations have a GCF, that GCF would be 3.

Since, 3 ( 3x - 6y = 12) =  9x - 18y = 36

or vice versa: (9x - 18y = 36)/3 = 3x - 6y = 12

Therefore, both the slopes and the y-intercepts are the same just dilated by a factor of 3.

Answer:

The slopes are the same and the y-intercepts are the same.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus

V = [tex]\frac{4}{3}[/tex]π × 5³

   = [tex]\frac{4}{3}[/tex]π × 125 = [tex]\frac{4(125)}{3}[/tex]π =  [tex]\frac{500}{3}[/tex]π units³ → D

The volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .Option D is correct.

It is given that the radius(r) of the sphere is 5 unit.

It is required to find the volume of the sphere of the given figure.

As we know the volume of the sphere is:

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

Where, r represents the radius of the sphere.

Now putting the value of 'r' in the formula,

V = [tex]\frac{4}{3}\pi (5)^{3}[/tex]

V = [tex]\frac{4}{3} \pi[/tex]×(125)

V = [tex]\frac{4 (125)}{3}\pi[/tex]

V = [tex]\frac{500}{3} \pi[/tex] [tex]unit^{3}[/tex]

Thus, the volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .

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Answer:

Median : 59

Lower quartile : 53

Upper quartile : 66

Least age: 41

Greatest age:  79

Step-by-step explanation:

In a ordered list, the median is the number at the half position. With 23 numbers, the half position the 12th number (there are 11 number above and blow it)

41 42 44 48 52 53 53 53 56 57 57 59  60 61 63 64 64 66 67 69 74 77 79

The lower quartile  is the number at the half position, only considering the first data points until the median.

41 42 44 48 52 53 53 53 56 57 57

The upper quartile  is the number at the half position, only considering the data points after the median.

60 61 63 64 64 66 67 69 74 77 79

The least and greatest ages are easily found.

Step-by-step explanation:

median = 58

lower quartile = 53

upper quartile = 66

leastest age = 40

greatest age = 82

Answer=

mixed form=2 2/5

decimal form=2.4

exact form= 12/5

Answer:

Yep, they all match:

1. Correct

2. Correct

3. Correct

4. Correct

Step-by-step explanation:

1.

√2 • √3 • √3 = 4.242640687119285‬

3√2 = 4.242640687119285‬

2.

√2 • √3 • √-3  = 4.24264069i

3i√2 = 4.24264069i

3.

√-2 • √-3 • √-3 = -4.24264069i

-3√2 = -4.24264069i

4.

√2 • √-3 • √-3 = -4.24264069i

-3i√2 = -4.24264069i

Answer:

4 quarts per hour.

Step-by-step explanation:

60/15 = 4

The reason why i did 60 is because there is 60 min in a hour. then i divided it by 15 and got 4

hope this helps : )

The required quart that leaks is 4 quart, faucet leak per hours.

A faucet leaks water at constant rate of quat every 15 minutes. How many quarts does the faucet leak per hour to be determined.

Rate of change is defined as the change in value with rest to the time is called rate of change.

1 quart = 60 units
Every 15 minutes, 1 quart has been leaked from the faucet.
1 quart will be leaked fully = 15 minutes
     Divide by 15 into both sides
1 / 15 quart will be leak fully = 1 minute
    multiply both sides by 60
60 / 15 quart will be leak fully = 60 minute
4 quart will be leaked fully = 1 hour (60 min = 1 hour)

Thus, 4 quarts does the faucet leak per hours.

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Answer:

Option C.

Step-by-step explanation:

In the figure attached, a triangle has been given with angles.

m∠F = 73°

m∠D = 48°

And m∠E = 180° - (73 + 48)° = 59°

∠D < ∠E < ∠F

Since opposite sides of the largest angle in a triangle is longest and opposite side of the smallest angle is shortest,

Hence, d < e < f

Therefore, order given in Option C will be the answer.

Answer:

d, e, f

Step-by-step explanation:

Hope this helps:)

Answer:

Make a coordinate plane and you have to solve around the origin say 4,4 and 4,1.

Step-by-step explanation:

Answer:

Make a coordinate plane and you have to solve around the origin say 4,4 and 4,1.

Step-by-step explanation:

Answer:

To calculate the mean of a set of data, you have to work out the sum of the data (in this case, you need to work out the sum of all the points) and divide it by the number of data points there are (in this case, number of games played).

So you have to do:

(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60

The mean number of points is 60.

Step-by-step explanation:

please mark as brainiest

Answer:

Your Answer here is C)24

Step-by-step explanation:

First order the scores from lowest to highest.

42,51,55,56,59,62,63,66

The highest number would be 66 and the lowest would be 42.

Subtracting 42 from 66 you would get 24 so the Range is the 24

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

the picture includes the answer and work

I plugged in 2 for x

the equations that got the same answer, I put together

Answer:

Step-by-step explanation:

Answer:

take home pay $457.20

$30.78 from the raise

Step-by-step explanation:

Answer:

Cos 50

Step-by-step explanation:

Answer:

THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. BRAINLIEST LOL :)

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

ITS RIGHT MARK ME BRAINLIEST :) :) :) :) ;) ;)

Answer:

3.6 for tomatoes and 8.4 for lettuce

Step-by-step explanation:

70% of 12=8.4

30% of 12=3.6

check: 3.6+8.4=12

Answer:

The range is all real numbers.

Step-by-step explanation:

I graphed the equation on the graph below to find the range. The range is all real numbers because the line never stops and it touches all possible y-values.

If this answer is correct, please make me Brainliest!

Answer:

b. 4x = 48

Step-by-step explanation:

If you look closely an multiply 4 x 8, it equals 32, not 48

The other equations:

8 x 8 does equal 64

10 x 8 does equal 80

9 x 8 does equal 72

It's pretty simple once you try each problem first

Hope this helps!

Answer:

4x = 48

Step-by-step explanation:

Since x = 8,

4x = 48

4 * 8 = 32

So 32 is the LHS and 48 is the RHS.

Since the LHS is not equal to the RHS, x=8 is not a solution to the equation   4x = 48

Hope this answer is helpful!!

Answer:

(3, 11)

Step-by-step explanation:

To check the ordered pair from given option .

lets plug in the value of x from the choices given .

If value of y is same a sin ordered pair then that pair is correct answer else it can be concluded that pair is not generated from equation given.

equation: y = 3x + 2

_____________________________________

A) (3, 11)

If we put value of X=3 in equation y = 3x + 2,

then y should be 11

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is as expected for ordered pair)

Hence this pair (3, 11) is generated from given equation.

_____________________________________

A) (3, 9)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is not as expected for ordered pair(3,9)

Hence this pair is not generated from given equation.

_____________________________________

A) (5, 15)

If we put value of X=5 in equation y = 3x + 2,

then y should be 15

y = 3x + 2

=> y = 3*5+2 = 15+2 = 17 . (This is not as expected for ordered pair(5,15)

Hence this pair is not generated from given equation.

_____________________________________

A) (2, 4)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*2+2 = 6+2 = 8. (This is not as expected for ordered pair(2, 4)

Hence this pair is not generated from given equation.

_________________________________________________

Thus, only A) (3, 11) is generated from the equation y = 3x + 2

Answer:

A I did quiz on time4learning ^-^

Step-by-step explanation:

Answer:

Step-by-step explanation:

The arc length would be around 37.7, because the central angle would be 80 degrees, the radius is 12, and the diameter is 24.

Decimal Form:

1.15470053

…

Step-by-step explanation:

The exact value of sec(30°) is 2√3 / 3.

We have,

To find the exact value of sec(30°), use the trigonometric identity:

sec(θ) = 1 / cos(θ)

Now,

cos(30°) = √3 / 2

Now, substitute this value into the formula for sec(θ):

sec(30°) = 1 / cos(30°) = 1 / (√3 / 2)

sec(30°) = 2 / √3

To rationalize the denominator, multiply the numerator and denominator by √3:

sec(30°) = 2 / √3 * √3 / √3

= 2√3 / 3

Therefore,

The exact value of sec(30°) is 2√3 / 3.

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Answer:

Volume = ⅔πr³

Step-by-step explanation:

Given

Shape: Cone

Height = 2 * Radius

Required

An expression for the volume of the cone.

Let h and r represent the height and the radius of the cone, respectively.

So, h = 2r.

So solve this question, we simply write out the formula to calculate the volume of a cone.

Volume = ⅓πr²h

Substitute 2r for h.

Volume = ⅓πr²(2r)

Volume = ⅓πr² * 2r

Volume = ⅔πr³

Hence, the above expression represent the volume of a cone when h = 2r

The expression that represents the volume of the cone in cubic units is: ⅔πr³.

Volume of cone = ⅓πr²h

r is the radius; h is the height of the cone.

Given:

Therefore, substitute the values into the formula for the volume of a cone:

Volume of cone = ⅓π(r²)(2r)

Volume of cone = ⅔πr³

Therefore, the expression that represents the volume of the cone in cubic units is: ⅔πr³.

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Answer:

i believe the answers are:

false

true

true

Step-by-step explanation:

it's been a while, so im not exactly sure? but im pretty sure this is right.

Answer:

Same Im pretty sure it is:

False

True

True

Step-by-step explanation: