A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.​

Answers

Answer 1

Answer:

164.33 m^3

Step-by-step explanation:

Mathematically, we have the formula for the volume as;

V = A * h/3

V = 5.8 * 85/3

V = 164.33 m^3


Related Questions

A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.

Answers

7/8 = x/56

x = 7 x 7

so, 49/56 = rod

so, 49 pieces will be made

hope it helps :)

Solve T=L(2+RS) for R

Answers

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R  In that second term, the L's cancel each other out, leaving us with

[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R

Last question i ‘m struggling with.

Answers

steAnswer:

Step-by-step explanation:

step1 5(9x-8)=4(x+2)

step2 45x -40=4x +8

step3 41x=48

step 4 x=48/41

PLZ PLZ PLZ PLZ hurry

Answers

Answer:

4/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = ( -1 - -13)/( 3 - -6)

    = (-1+13)/( 3+6)

   = 12/9

   = 4/3

Answer:

G. [tex]\displaystyle \frac{4}{3}[/tex]

Step-by-step explanation:

Hi there!

[tex]slope=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]  where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-6,-13) and (3,-1)

[tex]slope=\displaystyle \frac{-1-(-13)}{3-(-6)}\\\\slope=\displaystyle \frac{-1+13}{3+6}\\\\slope=\displaystyle \frac{12}{9}\\\\slope=\displaystyle \frac{4}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle \frac{4}{3}[/tex].

I hope this helps!

A square has an area of 49 cm squared what is the length of each side

Answers

Answer:

7

Step-by-step explanation:

[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]

The length of the of each side of square is 7

what is the degree of the polynomial below

Answers

Answer:

d

Step-by-step explanation:

trust me gang

Answer:

the degree is the value of the highest exponent... 4x^3 the exponent is a three

answer "D"

Step-by-step explanation:

Which expression is equivalent to (3^2)^-2

Answers

Answer:

1/3^4

1/81

Step-by-step explanation:

(3^2)^-2

We know that a^b^c = a^(b*c)

3 ^(2*-2)

3^-4

We know that a^-b = 1/a^b

1/3^4

1/81

1 3/4 because (3^2) ^-2 that is the answer

(4,-5) with slope of 2

Answers

that's a point slope form so

y +5 = 2(x -4)

could someone please answer these two

Answers

Answer:

SEE BELOW

Step-by-step explanation:

1. find value of m

a^2 + b^2 = c^2

7.5^2+10^2=c^2

15+100=c^2

115=c^2

square it

=10.7 (not answer)

a^2+b^2=c^2

10.7^2+30^2=c^2

114.49+900=c^2

1014.49=c^2

square it

m=31.9

2.20^2 + 21^2 = 841

29^2=841

yes the triangle is right angled !!!

hope this helps :)

The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?

Answers

Answer: 27

Step-by-step explanation:

Set the age of the person who entered the room as x

[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]

Answer:

27 years old

Step-by-step explanation:

There are originally 5 people in the room.

Their ages are: 16, 25, 23, 12, 17

The sum of their ages is: 93

One person enters the room. That person's age is unknown, so we call it x.

The sum of the ages of the 6 people is:

x + 93

There are 6 people in the room now, so the mean age is (total age divided by number of people):

(x + 93)/6

We are told the mean age is 20.

(x + 93)/6 = 20

x + 93 = 120

x = 27

Answer: 27 years old

[tex]\sqrt[3]{x+1} =2x+2[/tex]

Answers

the answer is down below

A cell phone tower services a circular region
within 20 miles of the tower. What is the
area of the region? (Use it = 3.14)

Answers

Area of a circle: pi x r^2

---r is the radius of the circle

A = pi x 20^2

A = 3.14 x 400

A = 1256 square miles

Hope this helps!

Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now

Answers

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

= 25 - 19 + 5

= 6 + 5

= 11

21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tank if they work together?

Answers

Answer:

c =4 4/9 minutes

Step-by-step explanation:

The formula is

1/a + 1/b = 1/c  where a and b is the time for each working alone and c is the time working together

1/8 + 1/10 = 1/c

Multiply by 40c to clear the fractions  ( 40c is the least common multiple)

40c(1/8 + 1/10 = 1/c)

5c + 4c = 40)

9c = 40

Divide by 9

9c/9 = 40/9

c =4 4/9 minutes

Please and thank you

Answers

Answer:

[tex]-4p^3-3p^2-17p[/tex]

Step-by-step explanation:

Adding a negative number is the same as subtracting a number. Using this logic, we can change the equation to equal this:

[tex]-3p^3+5p^2-2p-p^3-8p^2-15p[/tex]

Combining like terms, we have negative 3p cubed minus another p cubed, which equals negative 4p cubed, we have 5p squared minus 8p squared, which equals negative 3p squared, and we have negative 2p minus 15p, which is negative 17p.

i have the answer, 2-(3/x+2)

i got this from my calculator, however i need another line of working and i’m unsure of the process used to get there

Answers

Start with the answer format we want, and work your way toward forming a single fraction like so

[tex]a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\[/tex]

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.

Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.

So, 4+b = 1 leads to b = -3

Therefore, a = 2 and b = -3

------------------------------------------------

An alternative route:

[tex]\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\[/tex]

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.

------------------------------------------------

Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.

Answer:

a = 2

b = -3

Step-by-step explanation:

the secret is seeing that the numerator (top part of the division) contains 2x. that means 2 times the factor of x in the denominator (bottom part of the division).

so, we want to change the numerator that we can simply say the result is 2 and some rest (remainder).

2×(x+2) would be 2x + 4

aha !

and we have 2x+1 up there. so, what had to happen to get from 2x+4 to 2x+1 ? we had to subtract 3. it to get to 2x+4 we have to add 3.

but if we add 3, we need also to subtract 3 to keep the value of the whole expression the same.

therefore we get

(2x+1)/(x+2) = (2x+4)/(x+2) - 3/(x+2) =

= 2×(x+2)/(x+2) - 3/(x+2) = 2 - 3/(x+2)

Find the missing side of triangle

Answers

Answer:

30.

Step-by-step explanation:

x^2 = 24^2 + 18^2

x^2 = 576 + 324 = 900

x = sqrt900 = 30.

Find the missing side of triangle

Answers

Answer:

Download gauthmath it will help Jesus loves you

Give me 5 starsssssssssssss

Can anyone plz solve this question step by step ASAP!

Answers

Answer:

40√3 cm²

Step-by-step explanation:

Step 1

Find the height:

h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3

Step 2

Find the area:

A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²

the answer is 72cm…i think but i’m sure it’s right

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

2) cos(120) is - 0.5

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

16 degrees

Step-by-step explanation:

Tan(?) = perpendicular/base

Tan(?) = 13/46

?=arctan(13/46)=16

Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?

Answers

Answer:

780

Step-by-step explanation:

Let x be the original price

x - x*72% is the new price

x - .72x = 218.40

.28x = 218.40

Divide each side by .28

.28x/.28 = 218.40/.28

x =780

For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7]​, solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.

Answers

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Find the value of x. Round
the nearest tenth.

Answers

Answer:

x = 13.5

Step-by-step explanation:

We need to use the law of sines

sin 27      sin 34

-------  = --------

11            x

Using cross products

x sin 27 = 11 sin 34

x = 11 sin 34/ sin 27

x=13.54901

To the nearest tenth

x = 13.5

Which term describes the red curve in the figure bellow?

Answers

Answer:

Letter B. Hyperbole is your answer

Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.​

Answers

Answer:

1/84

Step-by-step explanation:

Total people:

3 + 6 = 9

Probabilities of men:

P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7

Required probability is:

P(first 3 men) = 1/3*1/4*1/7 = 1/84

Please hurry I will mark you brainliest
What are the slope and y-intercept of this line?

Answers

Answer:

y=2x-1

Step-by-step explanation:

The slope is 2/1=2 and the y-intercept is -1.

Answer:

Slope = 2, Y intercept = -1

Step-by-step explanation:

For the Slope use Rise/Run to calculate (you go two up and 1 over which means 2/1 which equals 2).

For the Y intercept find where the line intersects the Y Axis which is -1.

How can I express this as a single power with positive exponents?

Answers

Answer:

5^1

Step-by-step explanation:

[tex]\sqrt{5} =5^{\frac{1}{2} }[/tex] (law of indices - fractional powers)

after converting all the numbers to this form:

[tex]\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\[/tex]

combine using law of indices:

5^(2/3+1/2-1/6) = 5^1

Confused on this one

Answers

Answer:

2nd is the correct answer for your question

0

Substitute 1/2 for x.

First term is 6 (1/2)^4
1/2 x 1/2 x 1/2 x 1/2 = 1/16
6 x 1/16 = 6/16

I NEED HELP ASAP
question is in picture

Answers

2x(x-1) has the least common denominator
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