Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer:
40% OR -1/4
Step-by-step explanation:
It could be 40% as all the other numbers are in fraction form while this one is written as a percent.
It could also be -1/4 because that is the only negative number.
Answer:
C. II, III, and IV only
Step-by-step explanation:
Lol I haven't done one of these in a while, so thanks for the practice!
It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.
The sample space is {(1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T)}
On the number cube, she could roll any of the numbers from 1 to 6. On the coin, she could flip heads or tails.
(9x^2-4)..........................
