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

What is the result of adding these two equations?

Answers

Answer:

-18y-1

Step-by-step explanation:

algebra

Rewrite the system of equations in slope intercept form

Y - 5 = -4x
3y - 9 = -6x

The slope-intercept form of the first equation is _______

The slope intercept form of the second equation is _______

Answers

Answer:

✔ y = –4x + 5

 

✔ y = –2x + 3

Step-by-step explanation:

We can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

What is the general equation of a Straight line?

The general equation of a straight line in slope intercept form -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                  {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}x/a + y/b = 1                                         {intercept form}x cos(β) + y sin(β) = L                          {Normal form}

We have the given system of equations as -

y - 5 = - 4x

3y - 9 = - 6x

The given system of equations is -

y - 5 = - 4x

3y - 9 = - 6x

Now -

y - 5 = - 4x

y = - 4x + 5

and

3y - 9 = - 6x

3y = - 6x + 9

y = (-6/3)x + (9/3)

y = - 2x + 3

So, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.

The slope intercept form of the second equation is y = - 2x + 3.

Therefore, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

GUYSS PLEASEEEE NO ONE IS HELPING MEEE I NEED THSISSSSSSS 30PTSS

Answers

Step-by-step explanation:

how do you write over the thing so I can give you the answer or can I just tell you the answer in text messages

Answer:

uh what

Step-by-step explanation:

Which graph represents -5x+6y> 12​

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I need the answer to this plzzzz

Answers

Gianna worked for 5 hours
Matthew work for 6 hours

brainly and 50 points if you answer right because this is my writing prompt from my math class.

Take a look at the Ccenario given your friend needs help. so how would you explain what to do? what are some possible mistakes your friend might make? remember to explain in complete sentances.
fatima paid for 5 pallets of grass to be deliverd.
each pallet of grass cost $129.95.
fatima paid $76.20 for delivery.
what is the total amount fatima paid?
pls help ​

Answers

Answer:

$725.95

Step-by-step explanation:

Given

Cost of each pallet = $129.95Number of pallets = 5Delivery cost = $76.20

Total cost is:

5*$129.95 + $76.20 = $725.95

Find the percent of decrease. Round to the nearest whole percent. 428 to 377

Answers

Answer:14

Step-by-step explanation:

Fully factorise
X^3 - 100

Answers

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

Solve for x
5x=x+28
simplify your answer as much as possible

Answers

Answer:

:.x=7 ans

Step-by-step explanation:

5x=x+28

5x-x=28

4x=28

x=28/4=7

What is the name of the angle pair for <2 and <4?
1
4
2
3
Vertical Angles
O Corresponding Angles
Linear Pair
Supplementary?

Answers

Answer:

Need an image

Step-by-step explanation:

10:25 as a ratio simplified

Answers

Answer:

2 : 5

Step-by-step explanation:

divide by five for both

Answer:

2:5

Step-by-step explanation:

they both have 5 in common

hope this helps

If -6x+12=0 and 4y + 5=9, what is the value of ×+y​

Answers

Answer:

x=2 y=1 x+y= 2+1=3 3 is the value of x+y

Step-by-step explanation:

Answer:

X=2, Y=1

X+Y=3

Step-by-step explanation:

-6x+12=0. first subtract 12 from each side

-6x=-12 now divide both sides by -6

X=2

4y+5=9. subtract 5 from each side

4y=4 divide both sides by 4

Y=1

2+1=3

Sketch the image of A (-3,5) after the described glide reflection.
Translation: (x, y)=(x - 2, y + 5)
Reflection: in y =4



Plz HELP me out I really don’t understand this!

Answers

Answer:

Translation (x, y) = (x - 2, y + 5)

(x, y) = (x - 2, y + 5)

(-3, 5) = (-3 - 2, 5 + 5)

(-3, 5) = (-5, 10)

So this means that point A' (-5, 10) is your translation of point A (-3, 5) .

Now let us look at the reflection. It says to reflect across the y = 4. Basically you will draw a horizontal straight line on 4. Count how many units is point A (-3, 5) is. Then do it on the other side of the line. Point A' (-3, 3) is reflected across y = 4 of point A (-3, 5).

Hope this helps, thank you !!

Select all the functions that have no real number solution.
4x^2 + 100 = 0
3x^2 - 9 = 0
x^2+ 1 = 0
6x^2 - 216 = 0
x^2 - 49 = 0

Answers

A and c both have no real solutions. If you look it up, Brainly already gives you the answer.

Help sweet people of the web​

Answers

Answer: no

Step-by-step explanation:

help please!! i dont understand geometry

Answers

Answer:

116

Step-by-step explanation:

so to find angle bcs we need to find x and to find x we need to create an equation. 160= angle scd +anglebcs so we do 180=3x+17+12x+8 and solve for x

160=3x+17+12x+8

step 1 combine like terms

160=15x+25

step 2 subtract 25 from each side

135=15x

step 3 divide each side by 15

9=x

then we plug in 9 to 12x+8 and get 116

The temperature at 5:30 a.M. Was –4° Fahrenheit (F). Eight hours later, at 2:30 p.M., the temperature is the opposite of –4 °F. What is the temperature at 2:30?

Answers

Answer: 4°F

Step-by-step explanation:

From the question, we are informed that temperature at 5:30 a.m was –4°F and that eight hours later, at 2:30 p.m, the temperature is the opposite of –4°F.

The temperature at 2:30 will be 4°F since the opposite of -4 is +4. Also since there's an interval of 8 hours, it's likely that the temperature increased by 1° for every hour. In 8 hours, it'll have increased by 8°, therefore the temperature will then be:

= -4 + 8

= 4°F

Solve the following proportion for x.

X/13 = 17/7

Round your answer to the nearest tenth.

Answers

Answer:

31.6

Step-by-step explanation:

x / 13 = 17 / 7

7x = 221

x = 221 / 7

x = ~31.6

What is The difference between 3 7/10 and 2 2/5

Answers

Answer:

1 3/10

Step-by-step explanation:

3 7/10 - 2 2/5 =

3 7/10 - 2 4/10 =

1 3/10

Answer:

1 3/10

Step-by-step explanation:

Change the denominator of 2 2/5 to 10 to match denominators by multiplying 2 (numerator and denominator)

New equation: 3 7/10 - 2 4/10 = 1 3/10

Factorise x + 5x + 6

Answers

Answer:

6x+6

Step-by-step explanation:

Combine like terms:

x + 5x +6

6x+6

6x + 6
Then factorise:
6(x+1)

PLS ANSWER! MY ASSIGNMENT IS OVERDUE!!! I know that the answer is 3, but I don't know how to get it.

Answers

Answer:

multiply 6x10then by 20

AA'B'C' is a reflection of AABC. Which best describes the reflection?

Answers

Answer:

A reflection over the line y = 3.

Step-by-step explanation:

You will draw a straight vertical line on 3 and then count the spaces. If you have equal space on both sides then your answer is right.

Expand and simplify (x + 4)(x-7)

Answers

Answer.

(x+4)×(x-7)

= x^2 - 7x + 4x - 28

= x^2 - 3x - 28

I hope it's helps you then please mark me as Brainlist so I can get next Rank Ace.

Please Follow me give To much thanks please.

Consider sample data with x = 12 and s = 3. (a) Compute the coefficient of variation. % (b) Compute a 75% Chebyshev interval around the sample mean. Lower Limit Upper Limit

Answers

Answer: a) 25%

b) 75% Chebyshev interval around the sample mean=(6,18)

Step-by-step explanation:

Given: Sample mean: [tex]\overline{x}=12[/tex]

Sample standard deviation: s= 3

a) Coefficient of variation = [tex]\dfrac{s}{\overline{x}}\times100[/tex]

[tex]\\\\=\dfrac{3}{12}\times100\%=\dfrac{100\%}{4}\\\\=25\%[/tex]

b) According to the Chebychev's theorem,

75% of the population lies within 2 standard deviations from the sample mean.

i.e. 75% Chebyshev interval around the sample mean. = [tex](\overline{x}-2s,\ \overline{x}+2s)[/tex]

[tex]=(12-2(3),\ 12+2(3))\\\\=(6, 18)[/tex]

Hence, the 75% Chebyshev interval around the sample mean=(6,18)

rafael took 4 pumpkin pies to a family gatherig if he divides each pie into six equal-sized sliced how many slices can he serve

Answers

twenty- four pie slices

(10x3 - 4x2 – 3x) + (x4 + 4x + 7x2 – x)

Answers

Answer:
x^4 + 36

Explanation:
Simplify by collecting like terms.

An average person can type 2,4002,400 words per hour. Trista types at the same rate as the average person and made the double number line below to estimate how long it will take her to type her research paper. ​​Using Trista's double number line, estimate how long it will take her to type her 1,400-word research paper.

Answers

Answer:

35 minutes

Step-by-step explanation:

Given that:

Trista:

Average word type per hour = 2400 words /hr

For Trista to type her 1400 word research paper ;

It will take 'h' hour

If

2400 words = 1 hour

1400 words = h

Cross multiply :

2400h = 1400

h = 1400 / 2400

h = 0.5833333 hr

To minutes, it will take :

0.5833333 * 60 = 35 minutes

Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.

y=-x-4
3
Need help Bc this taking me mad long

Answers

-15 the person above is correct

-x=6+2y graph the equation

Answers

Step-by-step explanation:

-x=6+2y

2y=-x-6

y= -x/2 -3

Elliot is riding in a 100-mile bike race to raise money for a charity. So far he has completed 7_10of the race. How far has Elliot biked?

Answers

Answer: He rode 70 miles!!!

Answer:

70 miles

Step-by-step explanation:

Mark me as brainliest

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