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Bingel [31]
3 years ago
14

If

="absmiddle" class="latex-formula"> f(x)dx=22 and \int\limits^3_6 f(x)dx=10, what is the value of \int\limits^3_1 f(x)dx?

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

32

Step-by-step explanation:

[1 , 6] = [1 , 3] + [3 , 6]

[6 , 3] = 10

[3 , 6] = -10

22 = [1 , 3] + (-10)

[1 , 3] = 22 + 10 = 32

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What is the area of the polygon ABCDE?
Setler [38]
The answer is 73.5

To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.

5 x 12 = 60 (rectangle area)

To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)

9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.

Add those two numbers and voila you have your answer of 73.5.
6 0
3 years ago
Can you Afford to Enlarge this?You each want to have a 3" X 5' picture ofprinted so that you canput it on your dartboard. It cos
Marizza181 [45]

Given:

\text{ Dimension = 3}\times5

Sol:

Area of picture is:

\begin{gathered} =\text{ length}\times\text{ Width} \\  \\ =15 \end{gathered}

If the cost $10 per square inch then price of 15 square inch is:

\begin{gathered} =15\times10 \\  \\ =150 \end{gathered}

If the quadruple of dimension that mean:

\begin{gathered} \text{ l ength = 4 length} \\  \\ Width\text{ = 4 width} \end{gathered}

So area is:

\begin{gathered} A=4\text{ length}\times4\text{ Width} \\  \\ A=4(15) \\  \\ A=60 \end{gathered}

So price is:

\begin{gathered} =60\times10 \\  \\ =600 \end{gathered}

3 0
1 year ago
Andre owned a 1/4 acre lot. He wanted to construct a 120’ x 80’ tennis court on the lot. How many square feet will remain uncove
OLga [1]

The area of the tennis court is computed by multiplying the dimensions given,

                               A = 120' x 80'

                               A = 9600 ift


Then, we convert the area in ft² to acres,

                       A = (9600 in²)(2.3 x 10^-5/ 1 in²)

                           A = 0.24 acre


The portion of land remaining is,

                  A of remaining = 0.25 acre - 0.24 acre

                                           = 0.1 acre


The remaining portion is for Andre's studies.


This, 0.1 ft² is equal to the 4% of the given area of the court. 

3 0
3 years ago
We're dividing by 4 ÷0.96​
Debora [2.8K]

Answer: 4 ÷ 0.96 = 4.16666666667

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help i’m sorry!!! 15 points again!
morpeh [17]

Answer:

Guess I'll agree with the other person.

Step-by-step explanation:

7 0
2 years ago
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