Answer:
the factor for x^2 + 5x - 24 is
(x + 8)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2(2)2 -3(2) + 7
2(4) - 6 + 7
8 - 6 + 7
2 + 7
9
<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.
So, The Crayola Crayon company can make 2400 crayons in 4 minutes. In other words, every 4 minutes they can make 2400 crayons, right? So, in 15 minutes how many would they have made? Well, what we do is we divide 15 by 4 which is 3.75. Then we multiply the result, 3.75, by 2400. 3.75 * 9000. So, in 15 minutes, Crayola would have made 900 crayons!
4/2400 = 15/x
Step 1: Cross Multiply
4/2400 = 15/x
4 * x = (15) * (2400)
4x = 36000
Step 2: Divide both sides by 2
4x/4 = 36000/2
x = 9000
The answer is, 9000!!! :D
Answer:9x-10=2x+1
Step-by-step explanation: i think.
