The diagram shows a pyramid with a rectangular base. The volume of the pyramid is 108cm^3.

What is the length of the base edge labeled x?

1. 2cm
2. 6cm
3. 18cm
4. 30cm

Answer:

[tex]2395.1\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a sphere is given by [tex]4\pi r^3[/tex]. Since a radius is half a diameter, the radius of the sphere is [tex]\frac{16.6}{2}=8.3[/tex].

Substituting values, we have:

[tex]V=\frac{4}{3}\pi (8.3^3)\approx \boxed{2395.1}[/tex]

Answer:

i amm not sure

Step-by-step explanation:

The number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.

The highest common factor (HCF) is discovered by identifying all common factors of two integers and then picking the greatest one. For example, the common factors of 8 and 12 are 1, 2, and 4. The greatest common factor is four.

Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks. Therefore, she can divide the pair of socks and shoes only into groups of 2, because two is the HCF of 6 and 14.

Hence, the number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.

Learn more about HCF:

https://brainly.com/question/17240111

#SPJ2

Answer:

381.7 ... hope this helped

Step-by-step explanation:

V=

4

3

π

r

3

d=

2

r

Solving forV

V=

1

6

π

d

3

=

1

6

π

9

3

≈

381.70351

Answer:

381.7 mm cubed

Step-by-step explanation:

To find the volume of a sphere is V=4 /3πr³

----------

Since they give you the diameter, you have to divide by 2, so:

9 ÷ 2 = 4.5

When you plug in 4.5, you get you answer.

---------

Have a good day :)

Answer:

A) x = 7

Step-by-step explanation:

7x + 1 + 7x + 6 + (180 - 15x) = 180

combine like terms:

-x + 187 = 180

subtract 187 form both side of the equation:

-x = -7

x = 7

Answer:

B. 5/16

Step-by-step explanation:

Multiply each side by the reciprocal of 2/5 to solve for x

(2/5)(1/8)=x

2/16=x

Answer:

B. 7

Step-by-step explanation:

Count every number less than 70 (count the leaf plot numbers if that helps).

62,62,63,64,54,56,56 = 7 drivers that travel less than 70 mph

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

Answer:

Step-by-step explanation:

Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

Answer:

I'm about to share an image with you that explains how to divide fractions!!

Answer:

KCF (Keep Change Flip) 3/4 divided by 2/3. Keep 3/4 change the division sign to mulitplication and flip the 2 and the 3 to an improper fraction of 3/2 and then solve. Just remember KCF and you'll be good. I used to be trash at fractions and now I'm very good thanks to KCF.

Step-by-step explanation:

Answer:

(426 ; 468)

Step-by-step explanation:

Confidence interval :

Mean score ± margin of error

Margin of Error = 21

Mean SAT score = 447

Hence,

447 ± 21

Lower boundary = 447 - 21 = 426

Upper boundary = 447 + 21 = 468

(426 ; 468)

Answer:

5%

Step-by-step explanation:

Let x represent the percentage of people that have gone to both the park and the beach.

The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x

The percentage of people that have gone only to the beach = 45% - x% = 45 - x

Therefore:

100% = (80 - x) + (45 - x) + (x) + (15)

100 = 80 + 45 + 15 -x - x + x

100 = 140 - x

x = 140 - 100

x = 40%

Therefore 40% of the students have gone to both the park and the beach.

The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%

Answer:

5000 X (0.96)^n

$3607

Step-by-step explanation:

Profit decreases at a rate of 6% per year = 100 - 6 = 96%

In year 1, profit would be = 5000 x 0.96 = 4800

In year 2 = 5000 x 0.96^2 =

5000 X (0.96)^n

5000 X (0.96)^8 = $3607

Answer:

366 calories

Step-by-step explanation:

122 * 3 = 366

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Hope this helps <3

Answer:

=1/6

Step-by-step explanation:

First of all you have to find the lcm of the two denominators which are, 3 and 2

Lcm of 2 and 3 =6

Then divide 6 by by the denominators and multiply by numerators, which gives you

(4-3) / 6

After solving the above, we then arrive at 1/6 as our answer.

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

Kindly find required figure in the picture attached below :

Answer:

14 feets

Step-by-step explanation:

From Trapezoid ABCD ;

The longer base, AD = 7 feets

Shorter Base ; BC = 5 feets

The Trapezoid GHIJ

Shorter Base = HI

Longer base = GJ

Given that the scale factor between ABCD and GHIJ is 2 ; then

GJ is similar to AD

Hence, side GJ = 2 * length of AD

GJ = 2 * 7 = 14 feets

Answer:

u=3

Step-by-step explanation:

-6=2u+3-5u

-6=-3u+3

3u=6+3

3u=9

u=3

Answer:

Apple

Orange

Step-by-step explanation:

Apple has the greater median with a median value of 150 which is more than that of orange at 130

The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.

Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.

Answer:

,, the null hypothesis should be rejected at the alpha equals 0.02 level

Answer:

567.7

Step-by-step explanation:

This is the correct answer because 7.4 would be the radius & 9.9 would be the height.

V=πr2h

3=π·7.42·9.9

3≈567.7

Hope this helps please mark as brainliest! Thx!‍‍➕➖➗

Answer:

B, the mean is less than the range

Step-by-step explanation:

mean is 3.38 (rounded)

mode is 3

median is 3

range is 5

The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]

The mean is 3.38 (rounded)

Median represents the middle value of the given data when arranged in a particular order.

So, the Median would be 3.

Mode is that number that appears most frequently in the given set of data.

So, the Mode would be 3.

The range of a given set of data is the difference between the largest value and the smallest value.

So, the range would be 5

Learn more about mean and median;

https://brainly.com/question/17060266

Answer:

Answer:

Answer:

[tex] 6.25 \times {10}^{ - 2} [/tex]

Step-by-step explanation:

[tex] { \bigg( \frac{5}{10} \bigg) }^{4} \\ \\ = {(0.5)}^{4} \\ \\ = 0.0625 \\ \\ = 6.25 \times {10}^{ - 2} [/tex]

Answer:

6.25 x 10-2

Step-by-step explanation:

Answer:

after tax the car is $12,960

Step-by-step explanation:

to find this first you need to find 8% of 12,000 which is 960

8/100 * 12,000/1=960

now add 960 to the original and that is your answer

Answer:

Step-by-step explanation:

Yes, the answer is 150000 , maybe its asking u to put it in some form.

85.000

/ 120.00

--------------                  

 17200/0.08            (Plus The Sales Tax)

  (21500)