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maks197457 [2]
3 years ago
9

Find the area of the shaded region of the graph

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

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After a storm, two street lights with the same length are leaning against each
Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

               = 70°

By sine rule,

\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}

AD=\frac{45\times (sin50)}{sin70}

      = 36.68 ft

Similarly,

DB = \frac{45\times sin60}{sin70}

     = 41.47 ft

Now c = DB - AD

           = 41.47 - 36.68

           = 4.79 feet

4 0
3 years ago
What is the average room rate of room rates at hotels $700,$650,$680,$710,and $695
Reil [10]

Answer:

The answer is 687

Step-by-step explanation:

You need to add them all up and then divide by the number of rates which is 5

1.700+650+680+710+695=3435

2.3435/5=687

Hope this was helpful

8 0
3 years ago
Read 2 more answers
What is the area of this figure?
Elanso [62]
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so A_{r} =lw. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
A _{r} =(13cm)(6cm)
A=78cm^{2}
Similarly, the area of a triangle is one half times base times height, so At=( \frac{1}{2})bh. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
A_{t} =( \frac{1}{2})(8cm)(6cm)
A_{t} =24cm^{2}

Now the only thing left is add our areas:
 A_{total} =78cm^{2}+24cm^{2}  =102cm^{2}

We can conclude that the correct answer is <span>A. 102</span>

4 0
3 years ago
Justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red?​
Morgarella [4.7K]

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

6 0
3 years ago
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If 2 : 9 = x : 18, then find the value of x
Anni [7]

Answer:

4

Step-by-step explanation:

4 is the answer

3 0
3 years ago
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