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

The slope-intercept form of the equation of a line that passes through the point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)

Answers

Answer:

y+13 = 5(x+2)

Step-by-step explanation:

y = 5x – 3

This is in slope intercept form  y = mx+b so the slope is m which is 5

We have a slope and a point ( -2, -13)

Point slope form is

(y-y1) = m(x-x1)

y - -13 = 5(x--2)

y+13 = 5(x+2)

Answer:

He is right

Step-by-step explanation:

I just took the quiz on edu

While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $

Answers

Answer:

$4.34

Step-by-step explanation:

Given the information:

The original price: $5Discount : 20% Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?

Answers

Answer:

12kg apple will make 189 more sandwiches

Step-by-step explanation:

Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.

Now;

6kg made 90 sandwiches

12kg will make x sandwiches

To get x, we simply cross multiply

6 * x = 12 * 90

x = (12 * 90)/6

x = 2 * 90

x = 180 sandwiches

4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property

Answers

Answer:

-1 13/56

Step-by-step explanation:

[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]

#I_hope_this_helps

#save_earth

#stay_at_home

#keep_spirit

Write as an algebraic expression

Answers

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

Direct Variation: If y = -16, when x = 4, find x when y = -96.

Answers

Answer:

x = 24

Step-by-step explanation:

y=  -16

-16 x 6 = -96

y= -96

x= 4

4 x 6 = 24

x=24

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

Answers

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)

Answers

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

2⁄6 + 4⁄8 + 3⁄4 = is what?

Answers

Answer:

2/6+4/8+3/4=19/12

(Decimal: 1.583333)

hope i helped

-lvr

Answer:

1 7/12

Step-by-step explanation:

2/6 + 4/8+3/4

Simplify the fractions

1/3 + 1/2 +3/4

The common denominator is 12

1/3*4/4 + 1/2 *6/6+ 3/4*3/3

4/12 + 6/12 +9/12

19/12

12/12 + 7/12

1 7/12

Which of the following is equivalent to 18-V-25

Answers

Answer:

the correct answer is 18 - 5i.

Step-by-step explanation:

Answer:

18-5i

Step-by-step explanation:

In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?

Answers

Answer:

8/17

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Describe fully the single transformation that maps triangle a onto triangle b

Answers

Answer:

reflection of Δa about y=2 results in Δb

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is: Reflection about y=2

Triangle A should be reflected about y=2 to map it onto Triangle B.

Here, from the given figure we get,

Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(1, 1), B'(2, 1) and C'(1, -1)

Lets choose point A to find the rule of transformation,

A(1, 3) → A'(1, 1)

Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)

It shows triangle (A) has been reflected across a line y = 2.

Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.

To learn more on reflection click:

brainly.com/question/15487308

#SPJ3

The slope of the line whose equation is 5x - 3y = 4 is

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

5x - 3y = 4

Solve for y

Subtract 5x from each side

5x-5x - 3y =-5x+ 4

-3y = -5x+4

Divide each side by -3

-3y/-3 = -5x/-3 +4/-3

y = 5/3x -4/3

This is in the form

y =mx+b

The slope is m and the y intercept is b

The slope is 5/3

Sara's having a barbecue and she cooks burgers. She buys a 6 pack of breadrolls and a 10 pack of burger meat. How can sara get the same amount of burger to bread rolls

Answers

Answer:

Buying 5 packs of bread rolls and 3 packs of burger meat

Step-by-step explanation:

Sara needs to find the least common multiple between 6 bread rolls and 10  pieces of burger meat:

[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]

Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:

[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]

Sara should buy 5 packs of bread rolls and 3 packs of burger meat.

4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?

Answers

Answer: 30 minutes, 51 seconds

Step-by-step explanation:

Given the time to run each miles to be

9.05/2,24/10/922. That is

9.05, 2.24, 10, 9.22

Time taken for her to run the entire four miles will be

9.05 + 2.24 + 10.0 + 9.22 = 30 :51

30 minutes, 51 seconds

19. A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2/3 . The ratio of blueberry to cinnamon muffins sold was 1. If 60 blueberry muffins were sold on Monday, how 4/1 many more cranberry muffins than cinnamon muffins did the bakery sell? *

Answers

Answer:

25

Step-by-step explanation:

The ratio of cranberry to blueberry muffins sold was 2/3.

This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.

The ratio of blueberry to cinnamon muffins sold was 4/1.

This means that for every cinnamon muffin, 4 blueberry muffins were sold.

In other words, the ratio of cinnamon muffins to blueberry was 1/4.

60 blueberry muffins were sold on Monday.

This means that the number of cranberry muffins sold was:

2/3 * 60 = 40 cranberry muffins

This also means that the number of cinnamon muffins sold was:

1/4 * 60 = 15 cinnamon muffins

To find how many more cranberry muffins were sold than cinnamon muffins:

40 - 15 = 25 muffins

25 more cranberry muffins were sold.

Answer:

25

Step-by-step explanation:

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

n= -11/5+ 3/5m

Step-by-step explanation:

Answer:

g(n) = [tex]\frac{5n+11}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 5n + 11 ( divide both sides by 3 )

m = g(n) = [tex]\frac{5n+11}{3}[/tex]

What is the product of ( x + 3) ( x - 4)?

I'm sure its x^2 - x - 12, but I wanted to double-check :D

Answers

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Please help! Correct answer only please! I need to finish this assignment by today.

You spin the spinner once.

What is P(factor of 6)?

Write your answer as a percentage.


___%

Answers

Answer:

100%

Step-by-step explanation:

The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!

Answer:

100%

Step-by-step explanation:

I just took the test on edgenity

11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13

Answers

Sequence is take away 6 each time so the next three terms are....

7

1

-5

Answer:

7

Step-by-step explanation:

act

I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?

Answers

Answer:

D

Step-by-step explanation:

A. The domain of this function is infinite, since x can be any number.

B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).

C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.

D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.

Hope this helps!

HELP ME ASAP FOR BRANETEST I MEAN IT >_

Answers

Answer:1 1/6

Step-by-step explanation:

11 + 11 = 4 22 + 22 = 16 33 + 33 = ?

Answers

Answer:

66

Step-by-step explanation:

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

76 deliveries in 4 hours
= [ deliveries per hour

Answers

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

There would be 17.75 delivery’s per hour

Y’all mind to help a dumb asian?

Answers

Answer:

A is 62 b is 54 c is 62 and d is 62

And 7

Step-by-step explanation:

Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it

Not sure about the second one

Answer:

7.

∠a = 64

∠b = 62

∠ c = 64

∠d = 54

8.

∠6  and ∠7

Step-by-step explanation:

7. I know bc opposite angles are equivalent.

8. I know bc supplementary angles  are two anglers that add to 180 degrees, aka a straight line.

(60,0) how is it shown on graph?

Answers

Answer:

0 y and 60 x so

VVVVVVVVVVVVVVVVVVVVVV

Step-by-step explanation:

its 60 on the x-axis

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answers

Answer:

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

[tex]\frac{15x² + x + 2}{x²} = B

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Answer: c

Step-by-step explanation:

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²

Answers

Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Answer:

hope this helps you

Answer: it’s 11n

Step-by-step explanation: so we all know this is the answer people :^

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38d5719d+76 i need this asap name any 3 products we derive from forest 1 MINUTE TIME LIMIT PLEASE HELPPPPPPPP A 0.31-kg football approaches John with a velocity of 4.2 m/s. John kicks the ball, giving it a speed of 3.2 m/s but in the opposite direction. Find the change in momentum of the ball. What is the average force did John apply if the interaction time between his foot and the ball was 0.035 seconds? S, yo _____ helado a mi primo hoy.a.dasb.doyc.dan idk what the answer is Your financial investments consist of U.S. government bonds maturing in 10 years and shares in a start-up company doing research in pharmaceuticals. How would you expect each of the following news items to affect the value of your assets?a. Interest rates of newly issued government bonds rise A. Stock and bond prices will rise B. Stock and bond prices will fall C. Stock prices will fall and bond prices could remain unchanged or riseD. Stock prices will fall E. Stock prices will increase b. Inflation is forecasted to be much lower than previously expected in Recall the Fisher effect Assume for simplicity that this Information does not affect your forecast of the dollar value of the pharmaceutical company's future dividends and stock price A. Stock prices will fall B. Stock and bond prices will fall C. Stock prices will increase D. Stock and bond prices will rise c. Large swings in the stock market increase mancalvestors concerns about market risk. (Assume that interest rates on neaty issued government bonds remain unchanged) A. Stock and bond prices will fall B. Stock and bond prices will rise C. Stock prices will fall D. Stock prices will increase E. Stock prices will and bond prices could remam unchanged or rise A grocery store has a discount of 13% off hand soap. At the same time the hand soap manufacturer has a coupon for $2.00 off. Assuming both promotions can be applied at the same time how much more would you pay if you applied the coupon first? The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth. In the given figure, values of x and y, are 1. 40, 25 2. 30, 40 3. 30, 20 4. 40, 35 The multiplication property of equality could be used to solve which of the following equations?4x = 5X + 5 = -48/X= 1(x + 5)(4x - 1) = 0 An object is placed at 1.5 m from a convex lens with a focal length of 1.0 m.a. Use the thin lens equation to determine the image distance from the lens.b. If the object height is 2.0 m, what is the image height?c. Is the image real or virtual? Is the image inverted or upright? 220 meters = ________ centimeters 1-A volumen constante un gas ejerce una presin de 880 mmHg a 20 Celsius dentro de una olla a presin Qu temperatura habr si el marcador de presin muestra un valor de 1050 mmHg? Tameka can make 32 beads with 4 sheets of paper. Right now she only has 3 sheets of paper. How many beads can Tameka make? An amount of money earned #24 in 4 years at a rate of 5% per year simple intrest. what was the amount of money What mass of salt would you need to add to 1.00kg of water to achieve a freezing point of -5 degrees C Find tan x if sec x = sort 37/6 and sin x Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?1. 1/3 hours2. 3 hours3. 3.5 hours4. 5 hours In addition to compiling the list of user access requirements, applications, and systems, the BIA also includes processes that are ____________. These processes safeguard against any risks that might occur due to key staff being unavailable or distracted. Which number is irrational