Answer:
15.59 feet
Step-by-step explanation:
We need to find BC and CD
First find BC
We can use the Pythagorean theorem
AB^2 + BC^2 = AC^2
11^2 + BC^2 = 13^2
121 + BC^2 =169
Subtract 121 from each side
121-121+BC^2 = 169-121
BC^2 = 48
Take the square of each side
sqrt(BC^2 ) = sqrt( 48)
BC = 6.92820323
then we need to find CD
We can use the Pythagorean theorem
CD^2 + DE^2 = CE^2
CD^2 + 5^2 = 10^2
CD^2 + 25 =100
Subtract 25 from each side
CD^2 + 25-25 =100-25
CD^2 = 75
Take the square of each side
sqrt(CD^2 ) = sqrt( 75)
BC = 8.660254038
BD = BC +CD
= 6.92820323 + 8.660254038
15.58845727
To find the common factors between two numbers, you must first break the numbers down into factors, and then find all common factors.
Let's break down 88.
88: 2 x 44, 4 x 22, 8 x 11.
Now let's break down 24.
24: 2 x 12, 3 x 8, 4 x 6.
Now that we've factored both numbers, let's select all the common factors.
Common factors:
1, 2, 4, 8.
I hope this helps!
Answer:
A. f(x)=x^2+x+0.25
Step-by-step explanation:
If x represents Lindsey's distance at 2:00 PM, then 2x represents Kara's distance at 2:00 PM because she walked twice as far as Lindsey. Then adding on the values we got for 2:30 PM, we get that Kara walked a distance of 2x+1 and Lindsey walked a distance of x+0.5 at the time of 2:30 PM. Now, we know that they have formed a right triangle because we are given the directions they walked in; east and north. This allows us to use a formula for the area of a right triangle: 1/2(L x W). Plugging in our values, we get...
1/2(2x+1)(x+0.5)
which simplifies to...
1/2(2x^2+2x+0.5)
which further simplifies to...
x^2+x+0.25
which is our answer.
Answer:
y = 1
Step-by-step explanation:
To find the y-intercept (s), substitute in 0 for x and solve for y.
y = 2/5 x (0)+1
y-intercepts (0, 1)
Answer:
x^2/3
Step-by-step explanation:
(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6
simplify 4/6, you get 2/3.
