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
Margarita [4]
1 year ago
15

What is the volume of the figure showing below? 5ft 6ft 10 1/2ft 2ft

Mathematics
1 answer:
olasank [31]1 year ago
5 0

Volume of a prism = Base area x height

The base is a trapezium

\begin{gathered} \text{Base area = }\frac{1}{2}(a+b)h \\ =\frac{1}{2}(5+2)6 \\ =\frac{1}{2}(7)6 \\ =21ft^2 \end{gathered}\begin{gathered} \text{Volume = 21 ft}^2\text{ x 10}\frac{1}{2}\text{ ft} \\ =21\text{ x }\frac{21}{2} \\ =220.5ft^3 \end{gathered}

You might be interested in
What the geometric mean between 12 and 18
MAVERICK [17]

Answer: 14.7

Step-by-step explanation:

Data : 12,18    

Total Number of Values, N = 2

Step 1 : Find 1 / N

1 / N = 1 / 2 = 0.5

Step 2 : Find mean

GM = ( 12 * 18 )^ 0.5

       = 14.7

4 0
2 years ago
Read 2 more answers
Jimmy scored a total of 80 points on 2 tests. He scored 10 points more on the 2nd test. What was his score on the first test?
zavuch27 [327]
35 would be the answer. 45+35=80 and 45 is 10 more than 35
5 0
3 years ago
What equation do I need to use?
goldenfox [79]
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3)   and B(1 , 2) [you notice that just the y's changed]

This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such  that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of 
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered 


6 0
3 years ago
Please help. Brainliest mark
vova2212 [387]
Answer. A
Explanation. slope intercept form is y= mx + b. m represents the slope and b represents the y intercept (the point where the line meets the y-axis). We know that the slope is 1/3 but since the y-point is 0, there is no VISIBLE “b” in the equation. The correct solution is A :)
good luck.
3 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
2 years ago
Other questions:
  • F(x) = -(x-3) +x<br> What is f(-1) = ?
    9·1 answer
  • What is the value of In 1/e^3
    12·1 answer
  • Solve for m
    9·1 answer
  • What is a prime factor?
    14·1 answer
  • How would I go about working this out?
    14·1 answer
  • Divide 120 into the ratio of 5 : 7?
    11·1 answer
  • A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of
    14·1 answer
  • Why do we square the residuals when using the least-squares line method to find the line of best fit? a.) Squaring the residuals
    14·2 answers
  • A square has an area of 9 ft2. What is the length, in feet, of each of the square’s sides?
    13·1 answer
  • What is re equation of the following line ? Be sure to scroll down first to see all answers options . (-4.8) (0,0)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!