1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andreyandreev [35.5K]
3 years ago
6

What is the volume of the rectangular pyramid shown belown?

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

9514 1404 393

Answer:

  168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

  A = LW

  A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

  V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

You might be interested in
For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7
katrin2010 [14]
To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.

Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line. 

y = x² - 5x + 7
dy/dx = slope = 2x -5

Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.

2x - 5 = 3
x = 4

Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3

Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.

y = 3x + c
3 = 3(4) + c
c = -9

3 0
3 years ago
What is the slope of the line through (2,−2)(2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)(9
Musya8 [376]

The slope of line passing through (2,-2) and (9,3) is 5/7

Step-by-step explanation:

Given two points are:

(x1,y1) = (2,-2)

(x2,y2) = (9,3)

The slope is defined as the steepness of a line.

When two points are known, through which the line passes,

The slope is given by:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{3-(-2)}{9-2}\\m = \frac{3+2}{7}\\m = \frac{5}{7}

Hence,

The slope of line passing through (2,-2) and (9,3) is 5/7

Keywords: Slope, Equation of line

Learn more about slope at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

7 0
3 years ago
The coordinates of the vertices of figure ABCD are A(4, 2), B(2, 2), C(4, 3), and D(6, 2). Figure ABCD was dilated, with the cen
Lorico [155]
It is easily observed that every coordinate was scaled up by a factor of 8.
(2×8=16, 3×8=24, 4×8=32, 6×8=48)
3 0
3 years ago
I have 3 problems that I don't understand on my home work can some one help
Ronch [10]
1.) 60-(20% of 60)
60-(.2 * 60)
60-12
48
The pants are $48
2.)30% of x = 20
.3x = 20
.3x/.3= 20/.3
x = 66.6666666...
The pants were $66.67
3.) 25 + (20% of 25)
25+(.2*25)
25+5
30
The magazine is now $30.
4 0
3 years ago
Read 2 more answers
3/8x-3/5y=33/88 4/7x+4/5y=37/35
Alinara [238K]
X=301/275
y=13/220
Solution
Please find the attached image to get the complete solution.

I used online calculator to solve the system

4 0
3 years ago
Other questions:
  • What is A? <br> plz help i will give brainliest
    15·1 answer
  • What is the area of a parallelogram with a base of 20 cm and a height of 12 cm?
    6·1 answer
  • Marissa's gross pay is $1,200 per pay period. She has health insurance and a retirement plan as benefits through her job. Her to
    11·1 answer
  • What is the sum of sq root -2 and sq root -18?
    10·1 answer
  • What is the answer to the question 4n-n
    5·1 answer
  • Here's a graph of a linear function. Write the
    6·1 answer
  • Which set of fractions is ordered from greatest to least? 2/3 3/8 5/12
    5·1 answer
  • List three numbers that are larger than 20 but smaller than 50 and only have 2 factor​
    8·1 answer
  • Free points insta: (jqyneii) giving Brainliest to the first person :D make sure to get outside its good for you ily &lt;3
    12·1 answer
  • Identify the range of the function
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!