In a recent u.s.census, the population of Illinois was 12,419,293. What is this population after

1 answer:

5 0

I believe they just want you to add here, so for:
a. 12,419,293+100,000
b. 12,419,293+1,000,000
c. 12,419,293- 10,000

the increase is addition and decrease is subtraction. If you're having trouble adding and subtracting them put them over each other and subtract or add them like:
12,419,293
+ 1,000,000
-------------------

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Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94

ra1l [238]

Area for a circle is $A= \pi r^2$ . We will fill in each area and then solve for the radius. $530.66m^2= \pi r^2$ and $\frac{530.66m^2}{3.14}=r^2$ . ∴ $169=r^2$ and r = 13. For b, $907.46ft^2= \pi r^2$ and $\frac{907.46ft^2}{3.14}=r^2$ . $289=r^2$ , ∴ r = 17. For c, $379.94mi^2= \pi r^2$ , and $\frac{379.94mi^2}{3.14}=r^2$ . ∴, $121=r^2$ and r = 11. For d, $1962.5cm^2= \pi r^2$ , and $\frac{1962.5cm^2}{3.14}=r^2$ . ∴, $625=r^2$ so r = 25. And there you have it!

3 0

3 years ago

the perimeter of an isosceles trapezoid is 62 cm. if three sides are equal in length and the fourth side is 10 cm longer, find t

Alja [10]

Perimeter = sum of all the sides
let x = one side
longer side = x + 10
Perimeter = x + x + x + x + 10
62 = 4x + 10
4x = 52
x = 13
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= 6.6

5 0

2 years ago

Read 2 more answers

Help me please !!!!!!

Tanya [424]

#2: 4 cans : $2.36 = 13 : $7.67 SCALE FACTOR: $7.67 divided by $2.36 = 3.25
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#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes = : : 35 pancakes

SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
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7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES

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SCALE FACTOR: 12.5 divided by 1 acre= 12.5
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#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours)

SCALE FACTOR: 225 miles divided by 90 miles = 2.5
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4 0

3 years ago

615.44 rounded to the nearest tenth

Whitepunk [10]

The answer is 615.4

Hope this helps :)

5 0

3 years ago

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The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

8 0

3 years ago