Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

Answer 1

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer 2

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm


Related Questions

What are all the numbers of Pi? I need this now please

Thank you!! ♥︎

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

Step-by-step explanation:

Which line is parallel to line r? line p line q line s line t

Answers

Answer:

Line S

Step-by-step explanation:

Answer:

line s

Step-by-step explanation:

coz if you extend both the line (line r and line s )

they will not intersect at any point...

plz let me know if it was helpful to you dude!

in the equation x=c-b/a, find the value of x when c=10, b=2, and a=2

Answers

Answer:

9

Step-by-step explanation:

x = c - b/a

x = 10 - 2/2

x = 10 - 1

x = 9

Answer:

x = c - b (divided by) a

Step-by-step explanation:

x = 10 - 2over2

x = 10 - 1

x = 9

try 18/2 since that part is a fraction.

-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.

this is what they wrote. ​
just type anything if u want the points.

Answers

Answer:

I came up with the answer check my questions to see it

Step-by-step explanation:

If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team? 6 p = 42 7 p = 42 6 + p = 42 42 - p = 6

Answers

Answer: 7 people

Explanation:

6p = 42
P = 42/6
P = 7

If everybody on the team scores 6 points, and the team has a total of 42 points, the people that are on the team are 7 people.

What is addition?

The addition is one of the four basic mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The addition is a method of merging items and counting them as a single, large group. In mathematics, addition is the process of joining two or more integers.

The process of adding two or more numbers together to get their sum is known as an addition. The addition is a fundamental arithmetic operation that is used to compute the sum of two or more numbers. For instance, 7

+ 7 = 14.

6p = 42

P = 42/6

P = 7

Therefore, the people that are on the team are 7 people.

To learn more about addition, refer to the link:

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HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

25 ( 5 width times 5 length)

Step-by-step explanation:

10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?

Answers

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

super easy question, will mark brainliest if the answer is correct
a water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 3/4 full.
When the container is full, how much water does it hold?

Answers

Answer:

56 litres

Step-by-step explanation:

let x be the amount when the container is full.

1/8x + 35 = 3/4x

-5/8x = -35

x = 56

plz help ASAP!!!!!!!!!!!
WILL MARK BEAINLIST!

Answers

Answer: Choice D

If you have a single straight vertical line cross the curve at more than one point, then you do not have a function. In other words, if an x input leads to multiple outputs, then you don't have a function.

Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integers are included in R, but not in T?

Answers

Answer: PLEASE GIVE BRAINLIEST

72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

The number of integers in set R that are not included in set T is 72.

Given:

Set R = {10 to 125}

Set T = {82 to 174}

To find:

number of integers in set R but not in T

Integers from 10 to 81 inclusive in set R are not in set T since set T starts from 82.

Integers in set R but not in set T = {10 to 81}

The number of integers from 10 to 81, inclusive = (81 - 10) + 1

                                                               = 71 + 1

                                                                = 72

Thus, the number of integers in set R that are not included in set T is 72.

learn more here: https://brainly.com/question/13617652

Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

Given g(x) = -x + 4, find g(5).

Answers

Answer:

g(5) = -1

Step-by-step explanation:

Let x = 5.

[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]

Answer:

-1

Step-by-step explanation:

g(x)= -x+4

then substitute 5 on x

=-(5)+4=-1

(100/x)/100 = 1/x

but the question is HOW

how does this work algebraically?

Answers

Answer:

1/x

Step-by-step explanation:

(100/x)/100

100/x ÷ 100

Copy dot flip

100/x * 1/100

Rewriting

100/100 * 1/x

1 * 1/x

1/x

Answer:

Step-by-step explanation:

Use KCF for fraction division

Keep the first fraction.

Change division to multiplication

Flip the second fraction.

[tex]\frac{100}{x}[/tex] ÷ x = [tex]\frac{100}{x}*\frac{1}{100} = \frac{1}{x}[/tex]

What point is the intersection of the graphs of the lines 2x - y = 3 and x+y = 3?

Answers

Answer:  (2, 1)

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

Explanation:

Let's add the equations straight down

The x terms add up to 2x+x = 3xThe y terms add to -y+y = 0y = 0, so the y terms go awayThe right hand sides add to 3+3 = 6

After those three things happen, we're left with 3x = 6 which solves to x = 2 after dividing both sides by 3.

Now let's use this x value to find y

2x-y = 3

2(2)-y = 3

4-y = 3

-y = 3-4

-y = -1

y = 1

Or we could use the other equation

x+y = 3

2+y = 3

y = 3-2

y = 1

which gets us there in fewer steps.

So that's how we get to the final answer of (x,y) = (2,1)

The graph is shown below.

Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2

Answers

___________________A

The function that represents the inequality of the given graph is;

Option A

Graph Inequalities

From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.

Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.

Looking at the options, option A is right and we will prove it thus;

for y = x³ - 3

At x = 2, we see that;

y = 2³ - 3

y = 5

This corresponds with the given equation

For the second curve, for y = x² + 6;

At x = 2, we have;

y = 2² + 6

y = 4 + 6

y = 10

This corresponds with what is given and is thus correct.

Thus, option A is the correct answer

Read more about graphed inequalities at; https://brainly.com/question/11234618

What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)

Answers

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

Answer:

27°

Step-by-step explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr × [tex]\frac{x}{360}[/tex] = 6.6

2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6

88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

What is the price after taking 25% off $62?​

Answers

Answer:

46.5 DOLLARS WILL BE YOUR ANSWER .

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In
addition to the cleanup fee, they charge $20 per guest for food and drinks.
If we have $3,700.00 available, what is the maximum number of guest we can invite without going over ou
budget?

Answers

Answer:

The answer is 235

Step-by-step explanation:

it's just basic long divistion.

A car travels at an average speed of 30 km/h for 4 hours. The distance travelled is
A. 7.5 km
B. 120 km
c. 0.13 km
D. 34 km

Answers

the correct asnwer is D.34

Answer:

B

Step-by-step explanation:

distance = speed × time = 30 × 4 = 120 Km → B

Two more than 4 times the cube of a number is 34.

Answers

Answer:

2

Step-by-step explanation:

4x^3 + 2 = 34

4x^3 = 32

x^3 = 8

x=2

Which is the graph of y = [x]-2?

PLEASE HELP TIMED PLEASE

Answers

Answer:

3rd graph

Step-by-step explanation:

A plant is given plant food that contains 54 milligrams of magnesium. The plant is given this food each week for 20 weeks. How many grams of magnesium does the plant receive in 20 weeks? Enter your answer as a whole number or decimal in the box. G

Answers

The total amount of magnesium, in grams, that the plant gets is 1.08 g

How many grams of magnesium does the plant receive in 20 weeks?

We know that a plant gets 54 milligrams of magnesium each week for a total of 20 weeks.

Then the total amount that the plant gets, in milligrams, is:

T = 20*54 mg

T = 1,080 mg

And we want to find the total amount in grams, we know that:

1000mg = 1g

Then we can do a change of units to get:

T = (1,080/1000)g

T = 1.08 grams

That is the total amount.

Learn more about changes of units:

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Quick help with answers please!!

Answers

Answer:

x=pi/8 and 7pi/8

Step-by-step explanation:

2cos(2x)=sqrt(2), cos(2x)=1/sqrt(2). 2x=pi/4 and 7pi/4, x=pi/8 and 7pi/8

Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual interest compounded annually. They leave the money in the account for 4 years. What is the difference between the two accounts?

Answers

Answer:

$11.23

Step-by-step explanation:

A) 500 +  4(.06*500)

[tex]500+4\left(0.06\cdot \:500\right)=620[/tex]

B) [tex]500\cdot \:1.06^4=631.23848[/tex]

mp rs 700 and sp rs 524 find discount step by step.

Answers

Cost price=CP=700Sold price=SP=524

[tex]\boxed{\sf Discount=CP-SP}[/tex]

[tex]\\ \sf\longmapsto Discount=700-524[/tex]

[tex]\\ \sf\longmapsto Discount=176[/tex]

Answer:

cost price(cp)=rs.700

sold price(sp)=rs.524

discount =cp-sp

discount =700-524

discount =rs.176

answer it answer it it

Answers

Answer:

answer it answer it it

answer it answer it it

Answer:

the answer is answer i hope u have a great day

(if u apricate me giive me a brainly by pressing the crown and giving me a heart)  THANKS!!!

Step-by-step explanation:

There are 100 prize tickets in a bowl, numbered 1 to 100. What is the probability
that an even numbered prize ticket will be chosen at random, not replaced, then an
odd numbered prize ticket will be chosen? Does this represent an independent or
dependent event? Explain.

Answers

Answer:

25/99; Dependent event

Step-by-step explanation:

This is the probability that an even ticket will be chosen out of 100 tickets times the probability that an odd ticket will be chosen out of the remaining 99 tickets.

There 50 even out of 100 to start off with. After 1 even is chosen there are still 50 odd but only 99 more tickets.

(50/100)(50/99)=2500/9900= 25/99

This is a dependent event because an odd number should come after the even number only.

Answer:

25/99

Dependent event

Step-by-step explanation:

1. Multiply the possibilities

There are 50 even numbers out of 100 numbers. If one even number is drawn and not replaced, that would leave the odd ticket to be drawn out of 99 tickets. Because an even number was drawn first, all 50 odd numbers would remain.

[tex]\frac{50}{100}[/tex] · [tex]\frac{50}{99}[/tex] = [tex]\frac{2500}{9900}[/tex]

Simplify

[tex]\frac{2500}{9900}[/tex] = [tex]\frac{25}{99}[/tex]

2. This is a dependent event because the chances of an odd number being drawn was altered. If the even ticket was replaced, the probability of the odd number being drawn would not have been affected.

30 points and brainliest for the right answer :) I would like to know how to do this, so an explanation would be nice :P Thanks for the help!

Answers

Answer:

Below

Step-by-step explanation:

● (a)

Let's determine the difference between the outputs of any two inputs that are one unit apart.

Let m be that difference.

2 and 3 are one unit apart since when you substract 2 from 3 you get 1.

● 3-2 = 1

Let's calculate m.

The output of 2 and 3 are respectively 45 and 53.

● m = 53 - 45

● m= 8

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of any two inputs that are 2 units apart.

Let m' be that difference

3 and 1 are 2 units apart since when you substract 1 from 3 you get 2.

● 3-1 = 2

The outputs of 1 and 3 are respectively 37 and 53.

● m'= 53-37

● m' = 16

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of two inputs that are 3 units apart.

Let m" be that difference

0 and 3 are 3 units apart since when you substract 0 from 3 you get 3.

● 3-0 = 3

Let's calculate m":

The outputs of 0 and 3 are respectively 29 and 53

● m" = 53-29

● m" = 24

■■■■■■■■■■■■■■■■■■■■■■■■■■

● m = 8

● m'= 16

● m" = 24

Notice that all these values are multiples of 8.

● 8 = 8×1

● 16 = 8×2

● 24 = 8×3

Notice that each time the difference m is multiplied by the units that are between the inputs.

This is explained by the fact that the function is a linear one.

When the input interval grows the difference between the outputs grows two.

Answer:

Step-by-step explanation:

find the equation of the linear function   in the form of y=mx+b

m=y2-y1/x2-x1 =-3+11/-4+5=8

y=8x+29 ( when x=0, y=b=29)

out put  : -3 and -11 -3-(-11)=8 which is 1 unit

out put : 21 and 5 21-5=16   which is 2 unit (2*8)

output :53 and 29 53-29=24 which is 3 units (3*8)

ratio of change = f(b)-(f(a)/b-a

at point -3 and -11 : f(-3)-f(-11)/-4+5=-3+11/1=8

at point 21 and 5 : 21-5/-1+3=16/2=8

the graph always increasing and always equal 8

Find the area of the shaded region

A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2

Answers

Answer:

The shaded area is 18 ft^2

Step-by-step explanation:

First find the area of the total trapezoid

A = bh

A = 1/2 ( b1+b2) *h

   = 1/2 ( 6+12) *6

   = 1/2 ( 18)*6

   =54

Now find the area of the triangle

A = 1/2 bh

   = 1/2 ( 12) * 6

   = 36

Subtract the triangle from the trapezoid

54-36

18

The shaded area is 18 ft^2

Answer:

D. 18 sq.ft

Step-by-step explanation:

Lets make it simple and short.

Area of a triangle is 1/2 b h

b = 6

h = 6

Area = 1/2 * 6 * 6

Area = 18 sq.ft

Jared ate1/4 of a loaf of bread. He cut the rest of the loaf
into1/8-loaf slices. How many slices of bread did he cut?

Answers

Answer:

He cut 6 slices

3/4 (leftover bread) equals to six eights (6/8)

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