G(x) could be x^3
and f(x) would be (x + 1)^2
Well, Maria have 13h to go to Orlando, and needs to travel 602 miles. If the train can go to more than 46.3 miles/h (602/13). It could be possible for Maria make it on time.
Answer:
130
Step-by-step explanation:
Hello There!
An included angle is equal to half the measure of its included arc
So more specifically for this circle
∠mABC =
arc(mAB)
So in order to find the value of x we are going to want an equation
Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two
So 2(3x+32) = 10x+20
now we solve for x
step 1 distribute the 2
2 * 3x = 6x
2 * 32 = 64
now we have
6x + 64 = 10x + 20
step 2 subtract 20 from each side
64 - 20 = 44
20 - 20 cancels out
now we have 6x + 44 = 10x
step 3 subtract 6 x from each side
10x - 6x = 4x
6x - 6x cancels out
now we have 44 = 4x
step 4 divide each side by 4x
44/4=11
4x/4=x
we're left with x = 11
finally we want to plug in 11 to x for (10x+20)
10(11)+20
10*11=110
110+20=130
so arc ab = 130
Answer:
- 3/4
- 4/13
- 7/26
- 2/13
- 5.52
Step-by-step explanation:
<u>(a)</u>
- Probability (A heart or a black card) = 13 + 26 / 52
- Probability (A heart or a black card) = 39/52
- Probability (A heart or a black card) = 3/4
<u>(b)</u>
- Probability (A heart or a jack) = 13 + 3 / 52
- Probability (A heart or a jack) = 16/52
- Probability (A heart or a jack) = 4/13
<u>(c)</u>
- Probability (A heart and the ace of clubs) = 13 + 1 / 52
- Probability (A heart and the ace of clubs) = 14/52
- Probability (A heart and the ace of clubs) = 7/26
<u>(d)</u>
- Probability (A 9 or a jack) = 4 + 4 / 52
- Probability (A 9 or a jack) = 8/52
- Probability (A 9 or a jack) = 2/13
<u>(e)</u>
- Probability (The 9 of hearts or a jack) = 1 + 4 / 52
- Probability (The 9 of hearts or a jack) = 5/52
We can calculate the width of the rectangle patio with pythagorean theorem:
![\begin{gathered} \text{Base of triangle=15-12=3} \\ c^2=a^2+b^2 \\ 5^2=3^2+b^2 \\ b=\sqrt[]{25-9} \\ b=\sqrt[]{16} \\ b=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BBase%20of%20triangle%3D15-12%3D3%7D%20%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%205%5E2%3D3%5E2%2Bb%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B25-9%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B16%7D%20%5C%5C%20b%3D4%20%5Cend%7Bgathered%7D)
Then, she need to put trim on the edge of the floow of the patio that is wood planks and DOES NOT share and edge with the brick part:

Loretta need to put 28 feet of trim.