What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3

Answer:

[tex]4\frac{1}{12}[/tex] miles.

Step-by-step explanation:

The goal of the family is to hike [tex]11 \frac{2}{3}[/tex] miles in total. Converting this to an improper fraction, we need a total of  [tex]\frac{35}{3}[/tex] miles.

On Monday the family completed [tex]2 \frac{1}{12}[/tex] miles, or [tex]\frac{25}{12}[/tex] miles.

On Tuesday the family completed [tex]2 \frac{1}{3}[/tex] miles, or [tex]\frac{7}{3}[/tex] miles.

On Wednesday the family completed [tex]3 \frac{1}{6}[/tex] miles, or [tex]\frac{19}{6}[/tex] miles.

Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.

[tex]distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}[/tex]

In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.

Monday's distance [tex]\frac{25}{12}[/tex] already has a denominator of 12.

Tuesday's distance is [tex]\frac{7 * 4}{3 * 4} = \frac{28}{12}[/tex].

Wednesday's distance is [tex]\frac{19 * 2}{6 * 2} = \frac{38}{12}[/tex].

Convert the total distance goal to have a denominator of 12 as well. [tex]\frac{35 * 4}{3 * 4} = \frac{140}{12}[/tex].

Sum the total distance the family has walked on Monday-Wednesday. [tex]\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}[/tex].

Subtract this value from the total hiking distance. [tex]\frac{140}{12} - \frac{91}{12} = \frac{49}{12}[/tex]. The family needs to walk [tex]\frac{49}{12}[/tex] miles, or [tex]4 \frac{1}{12}[/tex] miles on Thursday to complete their goal.

As the question told , the goal of they hiking is reaching to the 11 2/3 hours of hiking which means :

The sum of the hours they hiking during those four days must equal 11 2/3 hours .

Suppose they hiking for x hours on Thursday so we have the following equation :

2 1/12 + 2 1/3 + 3 1/6 + x = 11 2/3

To simplify the addition and subtraction of fractions, we must find a common denominator between them ;

The smallest common multiple between the numbers 3, 6, and 12 is the denominator we want, which is 12. But because day 24 is easier to understand, I consider the common denominator of fractions to be 24.

2 + 2 + 3 + 1/12 + 1/3 + 1/6 + x = 11 + 2/3

7 + 2/24 + 8/24 + 4/24 + x = 11 + 16/24

7 + ( 2 + 8 + 4 )/ 24 + x = 11 + 16/24

7 + 14/24 + x = 11 + 16/24

Subtract sides minus 14/24

7 + 14/24 - 14/24 + x = 11 + 16/24 - 14/24

7 + 0 + x = 11 + 2/24

7 + x = 11 + 2/24

subtract sides minus 7

7 - 7 + x = 11 - 7 + 2/24

0 + x = 4 + 2/24

x = 4 + 1/12

x = 4 1/12

Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.

Answer:

it would be 145

Step-by-step explanation:

the two angles make a straight line, 180-35 is 145

Answer: 145

Step-by-step explanation:

supplementary angle rule: on a straight line, all angles add up to 180

180 = 35 + x

180 - 35 = x

145 = x

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

[tex]y = 8(2.4)^t[/tex]

Required

Find y when t = 9

Substitute [tex]t = 9[/tex]

So:

[tex]y = 8(2.4)^9[/tex]

[tex]y = 8 * 2.4^9[/tex]

[tex]y = 8 * 2641.81[/tex]

[tex]y = 21134.48[/tex]

[tex]y = 21134[/tex] --- approximated

Hence, there are 21134 bacteria

Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

Since Dan has 3 times what Henry has, his amount is 3x

Since Melissa has $8 less than Henry, her amount is x - 8

Create an equation that sets these 3 values equal to 87, then solve for x

(x) + (3x) + (x - 8) = 87

5x - 8 = 87

5x = 95

x = 19

So, Henry has $19

Find how much Dan has by multiplying 19 by 3

19(3)

= 57

Find how much Melissa has by subtracting 8 from 19

19 - 8

= 11

So, Henry has $19, Dan has $57, and Melissa has $11

Answer:

Dan has $261 and Melissa has $79

Answer:

b the area

Step-by-step explanation:

you will need to see if you have enough area for the microwave to fit

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

Answer:

0.311 mile

Step-by-step explanation:

There are 3600 seconds in 1 hour.

Thus, 70 mph, when multiplied by the appropriate conversion factors, comes out to:

70 mi       1 hr

--------- * --------------- = 0.019 mi/sec

 1 hr       3600 sec

and so the desired distance is found by multipying (0.019 mi/sec) by 16 sec:

0.311 mile

Answer:

The height is 13.3 in

Step-by-step explanation:

Pythagorean Theorem

23.5²+b²=27²

552.25+b²=729

b²=729-552.25

b²=176.75

b=√176.75

13.2947

Answer:

Hypotenuse = 85 cm

Hypotenuse = 89 cm

Hypotenuse = 103.08 cm (Approx.)

Hypotenuse = 54.71 cm (Approx.)

Step-by-step explanation:

Shape 1

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √36² + 77²

Hypotenuse = √1,296 + 5,929

Hypotenuse = √7,225

Hypotenuse = 85 cm

Shape 2

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √39² + 80²

Hypotenuse = √1,521 + 6,400

Hypotenuse = √7,921

Hypotenuse = 89 cm

Shape 3

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √25² + 100²

Hypotenuse = √625 + 10,000

Hypotenuse = √10,625

Hypotenuse = 103.08 cm (Approx.)

Shape 4

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √17² + 52²

Hypotenuse = √289 + 2,704

Hypotenuse = √2,993

Hypotenuse = 54.71 cm (Approx.)

Answer:

C

Step-by-step explanation:

Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.

Answer:

D.

Step-by-step explanation:

divide 45 by 3

Answer:

63

Step-by-step explanation:

2(5)²+3(5)-2

50+15-2

using bodmas

65-2

63

Answer:

63

Step-by-step explanation:

Answer:

x = 45°

Step-by-step explanation:

x = 90° - 45° = 45°

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

up one over three

Step-by-step explanation:

start at 3

Answer:

140 degrees i think

Step-by-step explanation:

She rated 32% percent of the movies very good

Answer:

y= x⁴ -21x²-100

combine x's I think

x⁴= 1x? cuz if it's 1x⁴ that's 1x*1x*1x*1x = 1x

1x * -21x²

-21x * -21x = 441x

+1x = 442x

y= 442x -100

I'm not sure if I did that right

Answer:

32

Step-by-step explanation:

5 + 6 * (5 - 2) + 9

5 + 6 * 3 + 9

5 + 18 + 9

23 + 9

32

By definition of tangent,

tan(2θ) = sin(2θ) / cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):

sin(θ) = ± √(1 - cos²(θ))

and the sign of sin(θ) is determined by the quadrant in which the angle terminates.

We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get

sin(θ) = - √(1 - (-4/5)²) = -3/5

Then

tan(2θ) = sin(2θ) / cos(2θ)

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2θ) = 24/7

Answer:

70

Step-by-step explanation:

Answer:

Slope= -1/2

y-intercept= 2/3

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

Answer:

When (3b³)² is simplified, it equals 3b⁶

Step-by-step explanation:

3 × 2 = 6

The exponent is 6

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If probablikty is 5/12 then, not picking is 7/12