HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3. Calculate the perpendicular height, h, of the pyramid.

Answers

Answer 1

Answer:

20.78 cm^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * a * h    where a = area of triangular base and h = the height.

The area of the triangle

= 1/2 * base * height

Its height = √(10^2-5^2)

= √75.

So its area = 1/2 * 10 * √75

= 5√75

So for the pyramid we have:

300 = 1/3 *  5√75 * h

h = 300 /  (1/3 *  5√75)

= 20.78 cm^3.


Related Questions

Homework, 12 points for whoever answers

Answers

Answer: one second

Step-by-step explanation:

Answer:

1. 8

2. 25

You are divided

The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.

Answers

Answer:

7 inches and 5 inches

Step-by-step explanation:

The length the length and width of the rectangle be l and b.

Accodrding to question,

Width, b = l-2

Perimeter, P = 24 inches

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

24 = 2(l+l-2)

12 = 2l-2

14=2l

l = 7 inches

Width, b = 7-2 = 5 inches

Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.

PLZZ HELP WILL GIVE BRAINLIEST

Answers

Answer:

x=2 y=4

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

substitute the [tex]y = 2x[/tex] for the [tex]y[/tex] in [tex]x = -y + 6[/tex]

[tex]x = -(2x) + 6[/tex]

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

[tex]3x = 6[/tex]

[tex]x = 2[/tex]

next take [tex]x = 2[/tex] and input it into [tex]y = 2x[/tex]

[tex]y = 2(2)[/tex]

[tex]y = 4[/tex]

so if [tex]x =2[/tex] and [tex]y = 4[/tex], the ordered pair solution is:

[tex](2,4)[/tex]

A produce manager is deciding whether there is customer demand for expanding the organic food section of her store. How could she obtain the information she needs?

Answers

Answer:

Step-by-step explanation:

The best way to gather this information is to create a survey that asks all the pertinent information regarding organic food and surveying a large population of the individuals that enter her store. This selected population would need to be selected at random so that the sample group accurately represents the choices of the entire population of customers. Otherwise, the data would be biased and not valid.

Determine m∠DFG :))))

Answers

Answer:  127 (choice D)

=========================================================

Explanation:

We can apply the remote interior angle theorem.

The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.

The remote interior angles add to this exterior angle.

(angle FGH) + (angle GHF) = angle DFG

(89) + (5x-7) = 14x+1

5x + 82 = 14x + 1

82-1 = 14x-5x

81 = 9x

9x = 81

x = 81/9

x = 9

If this is the case, then,

angle DFG = 14*x+1 = 14*9+1 = 127

what is 3 3/5 + 6 3/10

Answers

Answer:

18/5 or 3 3/5

Step-by-step explanation:

With a good performance on the job, Jim's boss increases Jim's monthly salary from $4500 to $5400. By what percent of Jim's monthly salary increase?

Answers

Between these two numbers, it is a 20% increase.

The solution is, the previous salary is $40910.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

The total salary is $45000

Divide 10% by 100 to express the value as a decimal: 10/100= 0.1

Let x represent the previous salary.

If the previous salary was increased by 10% this means that they calculated the 10% of X and added it to the salary for the increase, symbolically:

x+0.1x=45000

1.1x=45000

x= 45000/1.1

x= 40909.09≅ $40910

Hence, The solution is, the previous salary is $40910.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

Can you guys figure out the linear function for this table, please?

Answers

Answer:

y = 6x + 10

Step-by-step explanation:

This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10

I need help ASAP plz help me

Answers

Answer:

3 - 9 = -6

6(3) - 3(9) = -9

Answer: (3,9)

which of the following is equivalent to (5)^7/3? 5^-4
5^4
^7squroot5^3
^3squroot5^7​

Answers

Answer:

^7 squroot5^3

Step-by-step explanation:

5x2= 10

7÷ 3= 2.5

Does 2,4,5 make a right triangle

Answers

Answer:

No

Step-by-step explanation:

The formula is a² + b² = c²

2² + 4² = 5²

4 + 16 = 25

20 ≠ 25

20 is not equal to 25, so 2, 4, 5 does not make a right angle triangle.

Answer: Yes.

Step-by-step explanation:

2 + 4 > 5  

2 + 5 > 4  

4 + 5 > 2  

The process shown in this diagram affected which outcome?​

Answers

Answer:

i think it is D

Step-by-step explanation:

Doobs please helpp, mah hw is too hard :,(, the question is: add the polynomial expressions using the horizontal format

Answers

Answer:

9s^3 + 13s

Step-by-step explanation:

Combine like terms and simplify.

(6s^3 + 3s^3) + (9s + 4s) + (10 - 10)

(9s^3) + (13s)

9s^3 + 13s

The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.

Answers

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

Please help I need help with this right triangle problem

Answers

Answer:

sorry that looks like a test and i do not no

Will give brainlist if right! Number 13 and 14 plz

Answers

Answer:

13 - 14

14 - base area 30 and height 19

base area 285 and height 2

Step-by-step explanation:

1428/17/6=14

Help ASAP I will give you 15 points and help with any of your questions

Answers

Answer:

1/2

Step-by-step explanation:

the distance from 6 to 18 is 12 and and 12 is halfway in between 6 and 18 so its 1/2

sorry if im wrong have a blessed day:)

Is 16=3 one, no, or many solutions?
And if the lines were graphed, would they be the same line, intersecting, or parallel

Answers

Answer:

No solutions; parallel

Step-by-step explanation:

The equations x=16 and x=3 both have a slope of 0. So when graphed, they would be parallel and there are no solutions between parallel lines.

WILL MARK YOU BRAINLIEST

Answers

Answer:

ABCD is a rhombus => AC is perpendicular with BD

=> AC = 2(2n + 5) = 30

<=> 2n + 5 = 15

=> n = 5

with n = 5 => AC/2 = 15

BD/2 = 4.5 - 3 = 17

BC² = (AC² + BD²)/4 = 514/4 = 128.5

=> BC = 11.34

Answer:

Step-by-step explanation:

The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.

AC = 30

2n + 5 = 30      Subtract 5 from both sides.

2n = 30 - 5

2n = 25            Divide by 2

n = 25/2

n = 13.5

====================

BD = 4n - 3

BD = 4*13.5 - 3

BD = 54 - 3

BD = 51

what% of $700,000 = $525,000

Answers

Answer:

$525,000/$700,000×100%=75% is required %.

Helpp pleaseee ): !!!

Answers

I think it’s the bottom one
the third option is the answer

All of the following could be rewritten as an addition problem of two integers with the same sign except _____.

-9 - (-12)
-9 - 12
-12 - 9
12 - (-9)

Answers

Answer:

Answer is - 9 + 12 because they have different signs in front of each integer. (if that is what the question means)

Step-by-step explanation:

Negative sign x negative sign = positive sign

-9 - (-12) = -9 + 12

-9 - 12

-12 - 9 = -9 - 12

12 - (-9) = 12 + 9 = 9 + 12

Suppose that a phone that originally sold for $800 and is worth 3/5 of its value each year after it is released. Write an equation for the value of the phone, y years after it is released.

Answers

Answer:

v = 800 - 3/5y

Step-by-step explanation:

v = value

y = years

The original cost/value was 800 dollars which means you would have to subtract the 3/5 decrease in value each year.

v = 800 - 3/5y

Answer:

800/(y*3/5)

Step-by-step explanation:

Need help with this please

Answers

Answer:

158 correct

Step-by-step explanation:

158

Step-by-step explanation:

Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

Answers

The question is incomplete. Here is the complete question.

Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

How many square feet of material does Mr Jackson need to build the planter?

(a) 27 square feet

(b) 45 square feet

(c) 60 square feet

(d) 720 square feet

Answer: 45 square feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

[tex]s=\frac{P}{4}[/tex]

[tex]s=\frac{12}{4}[/tex]

s = 3

Area of a square is

[tex]A=s^{2}[/tex]

[tex]A=3^{2}[/tex]

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

[tex]A_{t}=9+9+9+9+9[/tex]

[tex]A_{t}=[/tex] 45

Mr Jackson will need 45 square feet of material to build the planter.

Answer:

45 feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

s = 3

Area of a square is

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

45

Mr Jackson will need 45 square feet of material to build the planter.

1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85

Answers

Answer:

-5-85

Step-by-step explanation:

The temperature in Hawaii on Thursday was 85°F.

The temperature in Colorado on Thursday was - 5°F.

The difference in temperature is given by :

[tex]\Delta T=-5-85[/tex]

So, the correct option is (b) "-5-85".

Which value of y makes the equation below true?
−4(y+2)−6(y−3)=12
A y=−19/5

B y=−1/5

Cy=−13/10

D -y=−11/5

Answers

Answer:

B

Step-by-step explanation:

-4y-8-6y+18=12

-10y=12+8-18

Y=-1/5

The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?

Answers

The slope is ¾ at all points on M.

WILL MARK YOU BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

2(5) + 5 = 15

Can someone help me with this please???...

Answers

Answer:

2×2×2×2× 5

Step-by-step explanation:

use the tree method it helps

Answer:

hey mate this is your answer..

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