The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid?

Answers

Answer 1
The volume of the pyramid is a third of the volume of the prism which has the same base area and height as the pyramid. That is,
V = b²h / 3
Substituting the variables given,
V = (s²)(0.5s) / 3
Simplifying,
V = s³/6

Related Questions

Help please ❤️ !
Write a linear equation in slope intercept form given the
Slope = 2 and the y intercept = (0,-4)


Answers

Answer:

y = 2x - 4

Step-by-step explanation:

y = (slope)x + (y intersept)

y = (2)x + (-4)

y = 2x - 4

Find the equation of a line that passes through (5.3) and (4,5).

Answers

Answer:

y=-2x+13

Step-by-step explanation:

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

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Question 1 of 14
Which of the equations or inequalities below are true?
A. -4 + 6 = 1
B. -4 + 6 7-2
C. -4 + 6 24
D. -4+6 s 2

Answers

question seems incomplete

there are no notations for inequalities

How do I solve this?

Answers

Answer:

need help too

Step-by-step explanation:

1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?

Answers

Answer:

20 seconds

Step-by-step explanation:

roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing


A. 152 + 192
OB. 15+19
c. 15+19
D. 162 +19

Answers

Answer:

By using the pythagorean theorem a^2 + b^2 = c^2

D is the correct answer Where PQ

= √15^2+√19^2

=√ 225 + √361

= √ 586

Length of PQ = √586 = 24.2074368738(ans)

Oh I did this before here a the part that I did hope I helped !!! The photo did not fit fell but ya

Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.

Answers

Answer:

need help asap

Step-by-step explanation:

X=130+50a is the correct answer

Please help need this last one.

Answers

Answer:

10

Step-by-step explanation:

If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.

Answer:

it's basically 10, both sides are equal

Step-by-step explanation:

Length = 4
Width = ?
Area = 60

Answers

Answer:

the width is 15

Step-by-step explanation:

Is 5pi/3 the same as 5/3 radians?

Best answer gets brainliest!!

Answers

Hey hope you have a great day today

A digital camera usually costs $700. This week it is on sale at a discount of 20%. What
is the sale price of the digital camera?

Answers

Answer:

560

Step-by-step explanation:

So we know that 20% goes into 100% 5 times.

700/5 will give you a clean 140, meaning 20% of the price is 140

Thus 700-140 and you get 560 dollars

If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer

1. Elizabeth wrote the quadratic function y = -3(x-6). What is the same equation written in standard form?​

Answers

y = -3(x - 6)

y = -3x + 18

3x + y = 18

3x + y =18
(correct me if wrong)

What value of x satisfies this equation?

10(1.5)^(3x) = 80

Round your answer to the nearest hundredth.


Answers

Answer:

X = 1.71

or

X = 1.70951

Step-by-step explanation:

Good Luck!

The required value of x for the given equation is approximately 1.71.

What are exponential functions?

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Equation:

The given equation is [tex]10(1.5)^{3x} = 80[/tex]

Divide both sides by 10.

[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]

Taking log on both sides, we get

[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]

Divide both sides by 3log(1.5).

x = log 8/ 3log(1.5)

x = 1.71

Therefore, the required value of x for the given equation is approximately 1.71.

Find out more about 'Equation' here:

brainly.com/question/11162571

#SPJ2

y = 3x - 3 y = x2 + 5x - 2

Answers

Answer:

The answer is

(0 , 0)

Good luck!

Find the measure of the missing side PQ using trig ratios

Answers

Answer:

take 48 degree as reference angle

use sine rule

sin48=opposite/hypotenuse

0.74=5.4/x

x0.74=5.4

x=5.4/0.74

x=7.29  m

Step-by-step explanation:

Answer:

[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]

Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?

-8, 2), 2


(2, -8), 2


(8, -2), 2


(-2, 8), 2

Answers

I think it would be (2,-8),2

if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab

pls solve and give the explanation​

Answers

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.

11 10 16 15 18 12 25 20 18 24

Answers

Answer:

(11.605 ; 22.195)

Step-by-step explanation:

11 10 16 15 18 12 25 20 18 24

Sample mean, xbar = Σx / n = 169 / 10 = 16.9

Standard deviation = 5.152 ( using calculator)

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

Df = n - 1 = 10 - 1 = 9

Tcritical at 99%, df =9 = 3.2498

Margin of Error = 3.2498 * 5.152/√10 = 5.2946

Lower boundary :

16.9 - 5.2946 = 11.6054

Upper boundary :

16.9 + 5.2946 = 22.1946

(11.605 ; 22.195)

Which fraction is equivalent to 2/6?​

Answers

1/3 2/6 3/9 4/12 … ignore this i need 20 letters

Please help!!!!!!!!!!!!!!

Answers

Answer:

131/156 or about 84%

5/14 or about 36%

Step-by-step explanation:

P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%

P(M,5) = 74/156 x 20/74 which reduces to 5/14

How do I write -x + 2y= -4 in slope intercept form

Answers

Answer:

ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps

Step-by-step explanation:

Answer:

y = 1/2 x - 2

Step-by-step explanation:

Slope-intercept form:

y = mx + b

You need to solve for y.

-x + 2y = -4

2y = x - 4

y = 1/2 x - 2


Helpp ASAP. Due at 11:59 and I don’t understand none of it

Answers

Answer:

its 504 ok...........................

Hope It Helps

504. If you multiply all the numbers together, you get all the possible combinations of such events

Consider the following equation. Graph 5x + 6y = 30
PLEASE SHOW STEPS

Answers

Answer:

Step-by-step explanation:

Convert the equation into slope-intercept form.

5x-6y =30           Subtract 5x from each side

-6y = -5x + 30     Multiply each term by -1

6y = 5x – 30       Divide each side by 6

y = ⅚x - 5

2. Create a table of different x and y values,

x        ⅚x – 5        y  

-12      ⅚(-12) – 5     -15  

-6      ⅚(-6) – 5       -10

0       ⅚(0) – 5         -5

6       ⅚(6) – 5          0

12        ⅚(12) – 5        5

3. Convert the table to ordered pairs

(-12,-15)

(-6, -10)

(0, -5)

(6, 0)

(12, -5)

4. Plot the points and draw a line through them.

An aquarium tank that measures 2.4 meters high, 6 meters long, and 1.5 meters wide is completely filled with water. The density of water is 1,000 kilograms per cubic meter. What is the mass of the water in the tank?

A:46 kilograms

B.101 kilograms

C.9,900 kilograms

D.21,600 kilograms

Answers

Answer:

D.21,600 kilograms

Step-by-step explanation:

The volume of the tank is Length x Width x Height (6*1.5*2.4)

So the volume is 21.6 cubic meters.

Therefore, there are 21.6 cubic meters of water.

The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)

The mass of the water in the tank is 21,600 kg

Directions: Find the surface area of the following solid figures using the given
formula Fill in the blank with the missing number.


(help, i have many assignments to do)​

Answers

Answer:

for number 2:

(6cm x 4cm) + (6cm x 3cm)

24cm + 18cm + 12cm

2 x 54cm

108cm

for number 3:

80m + 1920m

2,000m

5 people are sharing 14 kilograms of peaches. How many kilograms of peaches will each person receive?

A) 1 4 5 kilograms Eliminate B) 14 5 kilograms C) 5 14 kilograms D) 1 14 kilograms

Answers

Answer:

Each person would receive 2.8 kilograms of peaches.

STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir​

Answers

Answer:

75 boys

Step-by-step explanation:

[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]

4x = 300

x = 75

Answer:

75

Step-by-step explanation:

5/4 = x/60

4x = 300               300 divided by 4 equals 75

plzzzzz help me i have no clue​

Answers

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

A researcher investigated the relationship between alcohol intake and reaction time in a driving simulation task. Participants drank either one ounce or three ounces of alcohol and were then measured on braking speed at a simulated red light. The independent variable was the

Answers

Answer:

Alcohol intake

Step-by-step explanation:

The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.

NEED HELP! What is the value of x?

Answers

Step-by-step explanation:

from the triangle

let angle close to 130⁰ be y

130⁰+y⁰=180⁰(sum of angles on a straight line)

y⁰= 180⁰-130⁰

y = 50⁰

70 + y + x = 180⁰(sum of angles in a triangle)

70 + 50 + x= 180⁰

x= 180⁰-120⁰

x=60⁰

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