the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE

Answers

Answer 1

Answer:The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.


Related Questions

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.

Answers

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed

What is 13/18pie in degrees

Answers

Answer:

Convert from radians to degrees using the ratio  180/π.   answer is 130°

Step-by-step explanation:

NEED HELP ASAP

In the unit similar triangles and trigonometry, what is “ compass bearings ?”

Answers

Answer:

this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."

I can't really make sense of it though...

Answer:

What is the difference between constructing a square and constructing a regular hexagon?

The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.

The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

Step-by-step explanation:

Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1

Answers

Answer:

D

Step-by-step explanation:

Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamps, how many postcards does Mary have?

Answers

Answer:

8

Step-by-step explanation:

2:9

9*4 = 36

2*4 = 8

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused

Answers

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.

Answers

Answer:

The scale factor is 1.5

Step-by-step explanation:

In the picture attached, the line AB is shown.

The first 3 steps are to measure some lengths

OA = 2 units  OA’ = 3  units OB = 3 units OB’ = 4.5  unitsAB = 2.2 A’B’= 3.3

The last 3 steps are to compute these ratios

OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5

Answer:

see explanation

Step-by-step explanation:

1. Measure these lengths:

OA - 2.0 units

OA' - 3.0 units

2. Measure these lengths:

OB - 3.0

OB' - 4.5

3. Measure these length's:

AB - 2.2

AB' - 3.3

4. Calculate the ration: OA' / OA = 1.5

5. Calculate this ratio: OB' / OB = 1.5

6. Calculate this ratio: A'B' / AB = 1.5

5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?

Answers

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

HELP ASAP PLEASE

Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.

For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?



Answers

Answer:

Step-by-step explanation:

The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5

yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

Answer:

yes

Step-by-step explanation:

i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please

Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.

Answers

Answer:

It is irrational because a rational number expressed as the quotient or fraction  of two integers

Step-by-step explanation:

Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?

Answers

Step-by-step explanation:

1 rabbit

9 elephants (not clear going to river or not)

3 monkeys

6 tortoise

total 19 animal in the story

20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)

but the total animal going to river for sure is 10 animals

Is (0, 4) a solution to the equation y = x?

Answers

Answer:

No

Step-by-step explanation:

Plug x=0 and y=4 into y=x

4 doesn't equal 0

Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4

Answers

Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

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

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

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

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4


Question:

Consider the rectangle shown here.

A. State its area in square inches.

B. State its area in square feet, to the nearest tenth.

C. In general, A square inches equals how many square feet?

Answers

Answer:

A. Area in square inches =  1760 square inches

B. Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Step-by-step explanation:

Given,

Length of the rectangle (l) = 55 inches

Breath of the rectangle (b) = 32 inches

A. Area of the rectangle = length × breath

⇒ 55 × 32

⇒ 1760 square inches

Area in square inches =  1760 square inches

B. 1 foot = 12 inches

1 inch = [tex]\frac{1}{12}[/tex] feet

1 square inch = [tex]\frac{1}{144}[/tex] feet

∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet

⇒ 12.2222 square feet

Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?

Answers

Answer:

See picture attached

Step-by-step explanation:

The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:

62: once

63: twice

64: three times

65: twice

66: twice

Those are the numbers of dots you have to put over each height.

When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the
bins in one neighborhood on pickup day. The city assigned
a second garbage truck to this neighborhood. During their
training, it took the crew from the second truck 8 hours to
empty all the bins.
0.6
0.5
0.7
Time
(hours)
t
Part of Bins
Emptied
Rate
(part/hour)
1
5
0.4
First Truck
500
(9
1
t
Second
Truck
1
8
8​

Answers

This question is not properly written

Complete Question

When the two crews start working together, what part of all

the garbage bins will the first garbage truck empty?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Options

• 0.6

• 0.5

• 0.7

Answer:

0.6

Step-by-step explanation:

Let us say that the total hours worked by both trucks = t hours

Number of hours worked by first truck = 5 hours

Number of hours worked by second truck = 8 hours

Let 1 =  total number of bins.

For the 1st truck the rate at which work was carried out is

(1 ) ÷ (5 ) = 1/5

For the 1st truck the rate at which work was carried out is

( 1 ) ÷ (8 ) = 1/8

Then,

(1/5 + 1/8) × t =1

(1/5 + 1/8) × t= 1

(13/40)t = 1

t = 1÷ 13/40

t = 1× 40/13

t = 40/13 hours.

Hence, the total hours worked by both trucks = 40/13 hours

the part of all

the garbage bins that the first garbage truck will empty is calculated as:

1/5 × 40/13 hr

1/5 × 40/13

= 0.6153846154

Approximately = 0.6

Therefore, when the two crews start working together, the part of all

the garbage bins that the first garbage truck will empty is 0.6 of the total work done.

Answer:

A) 0.6

Step-by-step explanation:

PLS HELP it is urgent and my homework due soon

Answers

Answer:

a) (1 , 4)

b) (-1 , 0) and (3 , 0)

Step-by-step explanation:

The turning point also call the vertex of the function is shown by in this case the maximum which is at the point (1 , 4). The roots, also known as zeros, are the values at which the graph crosses the x-axis. In this case it is at points: (-1 , 0) and (3 , 0)

Select all true statements

Answers

Answer:

f(x) has a larger growth rate

f(x) is always greater than g(x)

Step-by-step explanation:

f(x) = 2/5 x

g(x) = -2x

the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive

therefore the correct true statements are:

f(x) has a larger growth rate, and f(x) is always greater than g(x)

options 1 and 3

Step-by-step explanation:

option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.

If anybody now this pls help my homework due TOMORROW

Answers

Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

How many degrees does the protractor show for the given angle

A. 35
B. 175
C. 175
D. 15

Please help with this I need help with it

Answers

Answer: 15 degrees

Step-by-step explanation:

180 degrees - 165 degrees = 15 degrees

Help me please !!!!!!!!!

Answers

Answer:

756.5 =x

Step-by-step explanation:

To find the perimeter of a rectangle

P = 2 (l+w)

4533 = 2 ( x+3  + 2x-6)

Combine like terms

4533 = 2 ( 3x -3)

Distribute

4533 = 6x -6

Add 6 to each side

4533+6 = 6x

4539 = 6x

Divide by 6

4539/6 =x

756.5 =x

Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)

Answers

Answer:

y=-x+1

Step-by-step explanation:

Does anyone understand this

Answers

The answer is no because their different sizes

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.



GA ∩ TN = I

∆GIT ≅ ∆________

By rule _________

Answers

Answer:

GIT is congruent to AIN

By rule SAS

Step-by-step explanation:

welp hope this helps

Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?

Answers

Answer:

D

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 23 and from the recursive formula

[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] , then r = 5 , thus explicit formula is

[tex]a_{n}[/tex] = 23 × [tex]5^{n-1}[/tex] → D

The correct option is D.

The calculation is as follows:

The explicit rule for a geometric sequence is

[tex]an = ar^{n-1}[/tex]

Here

a represents the first term

r represents the common ratio

So,

[tex]a_n = 5a_{n-1}[/tex]

So,

[tex]a_n = 23\times 5^{n-1}[/tex]

Learn more: brainly.com/question/17429689

Which of the following is(are) the solution(s) to 8|x-3|=-24
O A. All values are solutions
O B. x= 6,0
C. No Solution
O D. x = 3,0

Answers

The correct answer is c. There is no solution because there is no way to divide it and simplify.

Which number is a solution of the inequality −7x−3.5<−10.5

A. −3

B. −1

C. 1

D. 3

Answers

Answer: x > 1

Step-by-step explanation:

A skier slides down a 750 m slope in 12.5 s. What is the average
velocity for the trip?

Answers

Answer:

The average velocity for the skier is exactly 60 meters per second.

Step-by-step explanation:

Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.

Plz mark brainliest if u r cool

_____________________________ for the trip
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