Area of the 3 rectangles that make up the prism:
30 * 25 + 30 * 17 + 30 * 28 = 2100
Area of the two triangles at either end:
Use bh/2
(15 * 28)/2 = 210
There are two so it’s 420
2100 + 420 = 2520cm^2
Answer:
The answer is 1
Step-by-step explanation:
14 = 2 × 7
51 = 3 × 17
21 = 3 × 7
In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
The point that is labeled H on this graph is the point where Chana's and Josiah's distance from the starting line at the time when Chana catches up with Josiah.
<h3>How to solve for the point H.</h3>
At the point H, there is an intersection between the distance covered by both of these individuals.
This point is the point where we are shown that Chana has caught up with Josiah as they are skating.
Read more on direction here:
brainly.com/question/17021383
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Answer:
(x+1)(x-14)(x+3)
Step-by-step explanation:
The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.
According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0
In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42
f(-1) = 0
Therefore (x+1) is a factor of the polynomial.
Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.
We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.
Therefore (x^2)-11x-42 factosied is (x-14)(x+3)
Now merge (x+1) with (x-14)(x+3)
The final answer is (x+1)(x-14)(x+3)
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