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
dlinn [17]
3 years ago
7

Find the volume of the composite solid.

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

2960 ft³

Step-by-step explanation:

Rectangular prism = 12x20x10=2400

Rectangular pyramid = 1/3x12x20x7=560

2400+560=2960

You might be interested in
Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
If a sample of 77 students were taken from a population of 950 students, o^2 could refer to the variance of how many of the stud
MAVERICK [17]
<span>variance of </span>950 students
4 0
3 years ago
Read 2 more answers
Given the linear system:
azamat

Answer:

y=x+1/2z+-1/2

Step-by-step explanation:

Let's solve for y.

2x−2y+z=1

Step 1: Add -2x to both sides.

2x−2y+z+−2x=1+−2x

−2y+z=−2x+1

Step 2: Add -z to both sides.

−2y+z+−z=−2x+1+−z

−2y=−2x−z+1

Step 3: Divide both sides by -2.

-2y/-2 = -2-z+1/-2

y=x +1/2z+-1/2

3 0
3 years ago
A vehicle uses 2 1/4 gallons of gasoline to travel 16 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
Gennadij [26K]
The answer is 12 miles per hour
8 0
3 years ago
Read 2 more answers
Find the distance between the two points rounding to the nearest tenth (if necessary).
kap26 [50]

Answer:

4.5

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 1. A researcher believes that university students weigh more than the population. The researcher reasons that more time spent on
    14·1 answer
  • System of equations y &gt;4, and y&gt; |x-1|
    7·1 answer
  • Let a = 4 and b = 3.
    12·1 answer
  • Write words to match the expression 3+(4*12)
    6·1 answer
  • Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a
    14·1 answer
  • Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly
    14·1 answer
  • The base of a right prism is a right triangle. The lengths of the legs of the right triangle are 4 centimeters and 8 centimeters
    6·2 answers
  • Reading and Writing Decimal Numbers through Ten Thousandths
    10·1 answer
  • I need help with this ^
    6·1 answer
  • Find the missing side. Round to the nearest tenth. (Please explain if you can)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!