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3 years ago

Find the area of this picture

Mathematics

1 answer:

bezimeni [28]3 years ago

8 0

Answer:

30.3

Step-by-step explanation:

First we find the area of the trapezoid. The formula for that is (b1+b2)/2(h)

2+10=12

12/2=6

6x4=24

To find the area of a semicircle we do πr²/2

2^2=4

4x3.14=12.56

12.56/2=6.28

24+6.28=30.28

That is extremely close to 30.3 so the paper must be a bit off.

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Solve for x. 3x+1/14=2x/8

Ludmilka [50]

It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8

if it is 1

1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77

2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x

5 0

2 years ago

Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture

Nadusha1986 [10]

Answer:

Vertex:

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)

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)

Focus:

(

−

)

(

)

Axis of Symmetry:

Directrix:

−

Vertex:

(

−

)

(

)

Focus:

(

−

)

(

)

Axis of Symmetry:

Directrix:

−

Step-by-step explanation:

7 0

2 years ago

Estimate the value 9.03 + 19.87 x 3.11 - 4.97

dybincka [34]

Answer:

Step-by-step explanation:

For this problem you would first round everything. 9.03 becomes 9, 19.87 becomes 20, 3.11 becomes 3 and 4.97 becomes 5. You then just do the problem. 9 + 20 = 29, multiplied by 3 makes 87, 87 - 5 = 82.

8 0

2 years ago

A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

7 0

1 year ago

PLEASE HELP!!!! THIS IS TIMED!!!!! PLEASE HELP ME!!!!! PLEASE!!!!!!!!!!!!!!!

kodGreya [7K]

1 is the answer!
good luck

5 0

3 years ago

Read 2 more answers