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

PLZ HELP MEEEEEE WILL GIVE BRAINLIEST

Answers

Answer:

1. X=1/2y+5/2 or y=2x-5, 2 picture

2. X=-3/2y+6 or y=-2/3x+4, 2 picture

3. X=-1/2y+-11/2 or y=-2x-11, 1 picture

4. X=-0.5y+1.5 or y=-2x+3

5. Y=4/3x-9

6. Y=1/4x-2

Step-by-step explanation: I can give you 5 picture, I can’t give you the another step-by-step, hope this help

Help pleaseeee IM TIMEDDDDD

Answers

Answer:

D.

Step-by-step explanation:

Line D. shows the numbers less than 4. Trust me on this.

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

f(x) = 4x² + 7x – 18
Find f(-9)

Answers

Step-by-step explanation:

f(x) = 4x² + 7x - 18

f(-9) = 4 * (-9)² + 7 * (-9) - 18

= 324 - 63 - 18

= 243

Hope it will help :)

I need help solving an angle in right triangle

Answers

Answer:

X=41.8°

went setting this up we know we have to use the Sin trig function because the Hypotenuse and the opposite side are being used. This makes our equation Sin x= 4/6.

This answer was incorrect.

Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10

Answers

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

11 is what percentage of 16? Round the nearest tenth.

Answers

Answer:

.69, but you can round it to .70 because of the 9

Step-by-step explanation:

70%

Answer:

This can be calculated by dividing 11 over 16, which is equal to about 0.69.

Let me know if this helps!

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?

Answers

Answer:

C

Step-by-step explanation:

x^2/12.25 + y^2/4 = 1

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be [tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]

What is the equation of ellipse if its major and minor axis and center are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be: [tex](h \pm c, k)[/tex]  where   [tex]c^2 = a^2 - b^2[/tex]

If its major axis is parallel to y-axis, then,

Coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex]and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.

The carpenter sketches a drawing of the tabletop on a coordinate plane.

The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.

then, the equation of that ellipse would be:

[tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]

Learn more about ellipse here:

https://brainly.com/question/19881832

#SPJ2

PLEASE PLEASE HELP THE OTHER BRAINLY ANSWERS WERE WRONG IM BEING TIMED
A _____ organizes lots of information into tidy categories, but does not necessarily show a clear relationship among them.

pie chart
pictograph
table
line graph
bar graph

Answers

Answer:

A table?

Step-by-step explanation:

fingers crossed this is right

A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold

Answers

Answer:

[tex]300[/tex]

Step-by-step explanation:

[tex]8 \times 7 \frac{1}{2} \times 5 \times = 300[/tex]

The rectangular plant can hold the volume of potting soil is 300 cubic inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The rectangular plant holder is in the shape cuboid.

Length of the rectangular plant,l = 8 inches

Width of the rectangular plant,w = 7 1/2 = 15/2 inches

Height of the rectangular plant,h = 5 inches

The formula of volume of cuboid is

[tex]V=lwh[/tex]

⇒ [tex]V= (8)(\frac{15}{2} )(5)[/tex]

⇒ [tex]V=300[/tex]

Hence we can conclude that the rectangular plant can hold the volume of potting soil is 300 cubic inches.

Learn more about cuboid here

https://brainly.com/question/46030

#SPJ2

Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3

Answers

The answer is 2.84 and I am not sure

Answer:

Step-by-step explanation:

It’s Roman if you do the math you will get 4.94

How would you know

When doing the math i got the answer 4.94 which that mean ranjan divide wrong

Is 2/8 equivalent to 1/4

Answers

yes it is 2/8 is a non simplified version of 1/4
Yes 2/8 is equivalent to 1/4

Explanation: 2/8 ÷ 2=1/4

(-5,6) 5x+y=10 in slope intercept form

Answers

(-5 , 6) 5x + y = 10

                             ⤸

y = 5.6 * 5x = 10

step-by-step:

I. move the expression to the right

y = 10 + 5.6 * 5x

II. reorder the terms

y = 5.6 * 5x + 10

The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained?

Answers

3-10 pounds
because it has to be more than 2 pounds and less than 11. hope it helps

3.8
3.707
3.71 3.83
3.83 3.809
3.89
Least to greatest

Answers

Answer:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Step-by-step explanation:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89


3.707
3.713.83
3.8
3.809
3.83
3.89

Find the value of x.


A. 4.3
B. 2.7
C. 11.6
D. 13.9

Answers

Answer:

[D] 13.9

Explanation:

Pythagorean theorem: a² + b² = c²Solve for hypotenuse (side x) using: c = √a² + b²

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

Round the answer

13.9

Order -5,-7,0, and 4 from least to greatest

Answers

Answer:

-7,-5,0 and 4 is from the least to the greatest.

Answer:

-5,-7,0,4

Step-by-step explanation:

-5

-7

0

4

Pls help will give brainilist

Answers

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

plz mark me brainliest. :)

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

I just simply turned 1.8 ft and 20 in into centimeters

1.8 ft = 54.9 cm

20 in = 50.8 cm

56 cm = 56 cm

You count 100 chirps in 1 minute. What is the temperature?

Answers

Answer:

T = 50 + 100 - 40/4

T = 50 + 60/4

T = 50 + 15

T = 65

96 = 50 + x - 40/4

Subtract 50 from both sides:

46 = x - 40/4

Multiply by 4:

184 = x - 40

Add 40:

224 = x

Well, birds don't tend to like certain temperatures, and there seemed to be a lot of chirping, so I assume the temperature is the temperature a bird would like.

Now my turn.

If a ship has 26 sheep and 10 goats on board, how old is the ship's captain?

Your teacher has disabled instant marking. Your marks will appear after the due date.
727
The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6:8:10
Work out the area of the triangle in cm”.
B x W x = 2
Total marke: 4

Answers

Answer:

[tex]A=384\ cm^2[/tex]

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2[/tex]

So, the area of the triangle be [tex]384\ cm^2[/tex].

THIS IS WORTH 100 POINTS IF YOU’RE CORRECT!!! I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

Answers

The answer is D : 1/2

Answer:

The Correct Answer Is D

Step-by-step explanation:

I hope it Helps!

Can someone please rhyme the sentence “your many traits go like flowers” but make it very meaningful?

Answers

Answer:

You mah threat like a ugly flower

Step-by-step explanation:

Hope this help

your many traits go like flowers

my emotions are like an overwhelming tower

they just keep coming and keep stacking

kindness, and honesty you are never lacking

hmm honestly I could keep going

Let u= <-6,3>, v=<1,9>. Find u-v

Answers

Answer:

??????????????

Step-by-step explanation:

Ummm is that a equation??? If so ill try.....

(-6,3)-(1,9)= (-8,2)

(-6,3)+(1,9)= (-4,4)

Write the expression 2 x 2 x 2 x 2 + 7 x 7 - 5 x 5 x 5 using exponents.
Use each base once.

Answers

Answer:

2∧4+7∧2-5∧3

Step-by-step explanation:

32+ 49 - 25 x 5
81 - 25 x 5
56 x 5
280

What is this (-43)+37+33

Answers

Answer:

27

Step-by-step explanation:

Answer:

27.

Step-by-step explanation:

(-43)+37+33

= 37 + 33 - 43

= 70 - 43

= 27.

what is angle a and c if b is 63 degrees? You will get 100 points for answering please help

Answers

Answer:

Angle A measures 76°

Step-by-step explanation:

The three interior angles of a triangle will always equal 180. Therefore:

[tex](63)+(x+7)+(2x+8)=180[/tex]

Solve for x. Add and combine like terms:

[tex]78+3x=180[/tex]

Subtract 78 from both sides:

[tex]3x=102[/tex]

Divide both sides by 3. So, the value of x is:

[tex]x=34[/tex]

Angle A is given by:

[tex]m\angle A=2x+8[/tex]

Since we know that x = 38:

[tex]m\angle A=2(34)+8=76[/tex]

Angle A measures 76°

help pls brainliest for whoever helps me ·ω·

Answers

Answer:

8

Step-by-step explanation:

Answer:

Answer is 8 :D

Step-by-step explanation:

The common factor of those 2 numbers are 1, 2,4,8 :)

hola please help i’ll give brainliest but please answer correctly

Answers

Answer:

Step-by-step explanation: 1) 14.5 bc

We have the equation:

43.5 ÷ 3 = 14.500

Calculated to 3 decimal places.

2) They are all the same because they are the same numbers but in different places.

i hope this helps! =3

Rysha ran a 5k and finished in 34 minutes. How many minutes did it take for her to run each kilometer?

Answers

Answer:

6 minutes, and 8 seconds

Step-by-step explanation:

You can simply get this answer by dividing .34 by 5.;)

2. Find the square root.
(a) V25

Answers

Answer:

answer is 5 hope it helps

Answer:

5

is the square root of [tex]\sqrt{25}[/tex]

Step-by-step explanation:

[tex]\sqrt{25} = 5\\[/tex]

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