the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume​

Answers

Answer 1

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer 2

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2


Related Questions

Using the following image, solve for UW

Answers

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

Find the value of [2-3(2-3)-1]-1 .

Answers

Answer:

the answer to this is 3

Step-by-step explanation:

hope this helps

Answer:

your answer to this question is 3

Step-by-step explanation:

Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?

Answers

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft

The area of a circle is 18pi square inches. If the area of a sector of this circle is 6pi square inches, then which of the following must be the sector's central angle?
Please help I’ll give you brainliest promise !

Answers

Answer:

240 degrees

Step-by-step explanation:

Mathematically, the area of a circle is

A = 2 * pi * r^2

we need to calculate the radius of the circle first

18pi = 2pi * r^2

divide both sides by 2pi

r^2 = 9

r = 3 inches

Area of sector = angle/360 * pi * r^2

6pi = angle/360 * pi * 3^2

6pi = angle/360 * 9pi

(360 * 6pi)/9pi = angle

40 * 6 = 240 degrees

Help me im just too lazy to figure it out :)

Answers

Answer:

m=-16

Step-by-step explanation:

To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-35=m-19

19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.

-35+19=m-19+19

-35+19=m

-16=m

Let's check our solution. Plug -16 back in for m in the original equation.

-35=m-19

-35=-16-19

-35=-35

Both sides of the equation are the same, so we know that m is equal to -16.

Solve -3(x-2)<8 or -3(x-2) > 12

Answers

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

Who can solve for Y ? 2y < -4

Answers

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period

Answers

Answer:

32p

Step-by-step explanation:

the times between 8pm and 11.30pm are:

8pm,9pm,10pm,11pm,11.30pm.

so, find the cost associated with each of them:

8pm: 12p

9pm: 12p

10pm: 12p

11pm:8p

11.30pm: 4p

sum:12+12+12+8+4 = 12 x 4 = 32p

another EASY question for y’all mathy people, easy points! Question in photo.

Answers

C. 10 cm, 24 cm, 26 cm

Answer:

the answer is c

Step-by-step explanation:

please see the attached image and help me complete this question , please , its an emergency

Answers

Answer:

46

Step-by-step explanation:

32+14 = 46

46 ppl study spanish

Answer:

A = the Venn diagram and the middle section is 41 because :

14 + 25 = 39

80 - 39 = 41

B = 25 ( because of diagram )

C = the number of kids who studied both and only studied it which is:

41 + 14 = 55 (so C = 55).

if one song is $50 and i have $17000 how many songs can i buy​

Answers

Answer:

340 songs, 17000/50 = 340 lol

Answer:

340

Step-by-step explanation:

17000÷50=340.

hope this helps

A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.

Answers

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

What is the equation of the translated function, g(x), if
f(x) = x??

Answers

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)​

Answers

Step-by-step explanation:

Given that the formula of gradient is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you have to try for every coordinates :

Option A,

[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]

Option B,

[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]

Option C,

[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]

Option D,

[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]

find the second derivative of the function P(t) =(2t+4)/(t+1)

Answers

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

PLEASE HELP
CDEF is a kite and mFCE =39. Find m1

A.102

B.39

C.78

Answers

Answer: 39

Step-by-step explanation:

Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.

Then:

m1 = 39

What is: 6x^2-4x-10?

Answers

[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]

Answer:

x = 1⅔ or -1

Step-by-step explanation:

6x² -4x - 10

a=6, b=-4, c=-10, ac= -60

factors -10 & 6

6x² + 6x - 10x -10 =0

(6x² + 6x) - (10x - 10) =0

6x(x +1) - 10(x+1) =0

(6x-10)(x+1)=0

6x-10=0 or. x+1=0

6x= 10 or x= -1

x= 10/6 or. x= -1

x=1⅔ or x= -1

2x^2+14x-36 factored. please and thanks

Answers

Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

Mark brainliest please

0.9a+4.96=3.6+1.4a what is the answer simplfy

Answers

Answer: a=2.72

Explanation:
Move all the terms containing a to the left side of the equation

-0.5a+4.96=3.6

Subtract 4.96 from right side

-0.5a=3.6-4.96

Would be

-0.5a=-1.36

Divide each term by -0.5 and simplify

a= 2.72

Answer:

2.72

Step-by-step explanation:

the other one copied my answer from another website.

Explanation:

Move all the terms containing a to the left side of the equation

-0.5a+4.96=3.6

Subtract 4.96 from right side

-0.5a=3.6-4.96

Would be

-0.5a=-1.36

Divide each term by -0.5 and simplify

a= 2.72

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

X^2-11=53 in the simplest form

Answers

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?

Answers

Answer:

80 Degrees celsius

Step-by-step explanation:

176 - 32 = 144

144 * 100/180 = 80

What is the value of 3-(-2)

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

Which measurements could be the length of the third
side? Select all that apply.
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches
19 inches
0 21 inches
D 35 inches
45 inches
in ohon

Answers

Answer:

35 and 21

Step-by-step explanation:

the sum of the two lengths of two sides must be greater than the length of the third side.

10+30=40

45 doesn't work: 40<45.

10+19=29

29<30

19 doesn't work

10+21=31

31>30

21 works

35+10=45

45>30

35 also works

Answer:

35 and 21, good luck!! sorry I'm late

work out the surface area of a sphere please help if u get it correct i’ll give h brainlest

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

I will Rate you 5 stars and give you 30 points
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3
y=x+9
y=x-3

Answers

Answer:

y=x+9

Step-by-step explanation:

So 59 rounded to the nearest ten is​

Answers

Answer:

60

This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.

Answer:

60.. hope it helps

Step-by-step explanation:

Check the number in the ones place

It's is 9, which is greater than 5 so we will add 1, to the tens place,

It becomes 60

Another method..

The closest tens multiples to the given number are 50 and 60.

Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60

What is the probability that you’re on mars right now?

Answers

The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.

0%

I’m laying in bed, I guarantee this is not Mars.

Use the law of sines to find the value of y. Round to the nearest tenth.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

1.4 units
1.6 units
2.5 units
2.6 units

Answers

Answer:

b) 1.6 units

    y = 1.586 ≅ 1.6 units

Step-by-step explanation:

Explanation:-

step(i):-

The sine rule

[tex]\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]

Given  a = 2 and b = y

∠A = 75° and ∠ B = 50°

Step(ii):-

by sine rule

              [tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex]

            [tex]\frac{2}{Sin 75} = \frac{y}{Sin 50}[/tex]

Cross multiplication , we get

         2 × sin 50° = y  sin 75°

          2 × 0.766 = y  × 0.9659

           [tex]y = \frac{ 2 X 0.766}{0.9659} = 1. 586[/tex]

           y = 1.586 ≅ 1.6 units

 

Answer:

Step-by-step explanation:

which two of the following is continuous data?

Answers

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

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