It would be 30 because 10^4 is 10000 and 10000 times 12 is 120000 and 10^3 is 1000 and 1000 times 4 is 4000 so 120000 divided by 4000 is 30
<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
Answer:
1. x=6
2. x=9
Step-by-step explanation:
1.
2.
<u>Written Explanation: </u>
1.
-2x(3x+9)=-54
-6x-`8=54 (Distributive property)
Add 18 to both sides
-6x=-36
Divide both sides by -6 (negative divided by a negative equals a positive)
x=6
2.
2(3x+4)-3x=35
6x+8-3x=35 (distributive property)
3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)
Subtract 8 from both sides
3x=27
Divide both sides by 3
x=9
Imagine for a group of 15 (8 boys and 7 girls), you will have 8 girls. So the ratio of girls to total campers is 8/15
Because we have 195 campers, we have 8/15 = x/195
solve for x
x= 104 girls
and we have 195 - 104 = 90 boys
14 - (11 + 5) * 3 + 2
Solve inside the parentheses first (11 + 5).
14 - (16) * 3 + 2
Solve multiplication next (16 * 3).
14 - 48 + 2
Solve from left to right.
-34 + 2 = -32
Your answer is -32.
