Answer:
Step-by-step explanation:
<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:
<em>P(inside larger square and outside smaller square)</em> = area of interest / total area
<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square
<u>Calculations:</u>
<u />
1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²
2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²
3. <u>Area inside the larger square and outside the smaller square</u>
- 100 cm² - 49 cm² = 51 cm²
4.<u> P (inside larger square and outside smaller squere)</u>
- 51 cm² / 100 cm² = 51/100
Answer:
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.
Step 1: x2 +4x= 6
Step 2: x2 +4x+4=6+4
Step 3: (x +2)^2=10
What are the next 3 steps?
we have
step 4
Take square root both sides
![\sqrt{(x+2)^2} =\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B2%29%5E2%7D%20%3D%5Csqrt%7B10%7D)
step 5
Simplify
![x+2=\pm\sqrt{10}](https://tex.z-dn.net/?f=x%2B2%3D%5Cpm%5Csqrt%7B10%7D)
step 6
Solve for x
subtract 2 both sides
![x=-2\pm\sqrt{10}](https://tex.z-dn.net/?f=x%3D-2%5Cpm%5Csqrt%7B10%7D)
![x_1=-2+\sqrt{10}](https://tex.z-dn.net/?f=x_1%3D-2%2B%5Csqrt%7B10%7D)
![x_2=-2-\sqrt{10}](https://tex.z-dn.net/?f=x_2%3D-2-%5Csqrt%7B10%7D)
Answer:
i think its 1.2 not too sure though
Step-by-step explanation:
<span>[68,100]
This will allow you to get a B score.
To solve find the medium by adding the values divided by 4, solve for the unknown of the final exam, with the minimum value equalling 80, this will give you 68.</span>
Answer:
![\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5C%20%5C%20%5C%20answer%20%5C%20b.%20%5C%20%5C%20%2B5%20%5C%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello
let's assume that we are looking for x >=0
![4x^2=100 \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\\sqrt{x^2}=25\\ |x| = 5 x = 5 \ or \ x=-5](https://tex.z-dn.net/?f=4x%5E2%3D100%20%3C%3D%3E%20%5Cdfrac%7B4x%5E2%7D%7B4%7D%3Dx%5E2%3D%5Cdfrac%7B100%7D%7B4%7D%3D25%5C%5C%3C%3D%3E%5Csqrt%7Bx%5E2%7D%3D25%5C%5C%3C%3D%3E%20%7Cx%7C%20%3D%205%20%3C%3D%3E%20x%20%3D%205%20%5C%20or%20%5C%20x%3D-5)
Let's assume that we are looking for x>=0
so the correct answer is 5