2 years ago

Determine the area of the shaded region to the nearest integer.

Mathematics

1 answer:

gladu [14]2 years ago

5 0

I believe it would be 43 for the area of the shaded region

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

4 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem Find the area. The figure is not drawn to scal

fgiga [73]

Answer:

area=13.8cm^2

Step-by-step explanation:

6 0

3 years ago

Match the two numbers with their least common multiple

Darya [45]

8 - 8, 16, 24, 32, 40, 48

4 - 4, 8, 12, 16,

So the LCM of 8 and 4 are C) 8

8 - 8, 16, 24, 32, 40, 48

6 - 6, 12, 18, 24, 30

So the LCM of 8 and 6 are A) 24

8 - 8, 16, 24, 32, 40, 48

10 - 10, 20, 30, 40, 50

The LCM of 8 and 10 are B) 40

Hope this Helps!!

3 0

2 years ago

Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it

SashulF [63]

Answer:

<h2>3 weeks</h2>

Step-by-step explanation:

Step one:

given data

expected amount =$200

cash already at hand=$80

savings per week=$40

let the number of weeks be x

Step two:

the linear function for the situation is the same as the equation of a straight line

y=mx+c------1

200=4x+80

solve for x

200-80=40x

120=40x

divide both sides by 4

x=120/40

x= 3 weeks

Chandler will save for 3 weeks

4 0

2 years ago

Which of the following statements are true about the figure above? Check all that apply.

mars1129 [50]

Answer:

a and c

Step-by-step explanation:

because its a 3rd demenshion sphere

3 0

2 years ago