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2 years ago

What is the area of this figure?

Mathematics

1 answer:

nirvana33 [79]2 years ago

4 0

Answer:

602

Step-by-step explanation:

First find area of the rectangle portion

L x W

22 x 15

330

Second find area of trapezoid

B1+B2/2 times height

12+22/2 times 16

34/2 times 16

17 times 16

272

Lastly, add areas together

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To pass science, a student must earn at least a grade of 70. How many students failed this science class?

Colt1911 [192]

Answer:

7 students.

Step-by-step explanation:

To pass science, a student requires at least 70 grades so students who scored below 70 will be failed.

From the given bar chart we can calculate the number of students who scored below 70 grades

Students who earned 50 - 59 = 2

Students who earned 60 - 69 = 5

Therefore, number of students who failed were

2 + 5 = 7 students.

4 0

3 years ago

Read 2 more answers

-13.9+(-12.8) evaluate the answer

taurus [48]

Answer:

Step-by-step explanation:

=-13.9+(-12.8)

=-13.9-12.8

8 0

2 years ago

Read 2 more answers

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

2 years ago

The temperature drops 17° to 37° . what was the temperature when we started?

Alex Ar [27]

The temperature would be about 54.

3 0

3 years ago

Read 2 more answers

Grace is making holiday cards. Each rectangular card has an area of 28 square inches and the length is 3 inches more than the wi

melomori [17]

Length=7
Width =4
Area = length x width

3 0

2 years ago