Answer:
D. 1.5
Step-by-step explanation:
One basic property you need to keep in mind while solving theses type of questions is as follows :
<u>The length of tangents from an external point on a circle are equal</u>. For simplicity a figure illustrating this property is attached.
- Length of RS = 6 ; Length of AS = RS - AR = 6-x
Consider S as external point and tangents as SA and SB, so SB=SA=6-x
- Length of ST = 9 ; Length of TB = ST - SB = 9 - (6-x) = 3+x
Consider T as external point and tangents as TB and TC, so TC=TB=3+x
- Length of TU = 7 ; Length of UC = TU - TC = 7 - (3+x) = 4-x
Consider U as external point and tangents as UC and UD, so UD=UC=4-x
- Length of UV = 15 ; Length of VD = UV - UD = 15 - (4-x) = 11+x
Consider V as external point and tangents as VD and VE, so VE=VD=11+x
- Length of VR = 14 ; Length of RE = VR - VE = 14 - (11+x) = 3-x
Now, Consider R as external point and tangents as RA and RE, so
RA = RE
x = 3 - x
2x = 3
x =
x = 1.5
Answer: C
Step-by-step explanation:To answer this problem, we use the Pythagorean theorem which states that the square of the hypotenuse or the longest side is equal to the sum of the squares of the legs. Hence trying each option, we verify whether the dimensions are true to the right triangle theorem. In this case, the answer is C
So you would plug in the x values into the equation to find the solutions
1/3(-15)= -5
1/3(0)=0
1/3(15)=5
:)
Answer:
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Step-by-step explanation:
The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:
40 - (3 x 2)
= 40 - 6
= 34 paddle boats.
The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.
Total Revenue = 34 x 6
= $204
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
In order to determine the number of pavers that Judy will need for the small patio in her garden, we divide the area of the patio by the area of the paver. That is,
number of pavers = (2p² + 30p + 108) / (p² + 5p - 6)
We then factor both the numerator and the denominator.
n = 2(p + 9)(p + 6) / (p + 6)(p - 1)
We cancel p + 6 in both the numerator and denominator to get an answer of,
2(p + 9) / (p - 1)