Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
the answer is 32 because 32×(1/4) or 32/4 is 8 there for 8 is a fourth of 32
Hi there!
Sometimes, like you said, you might don't get the exact answer when you justified your answer. In this case, you need to take the nearest number. So if you got 11 then 12 is the nearest number, just go for it.
Or go back and start over and see if you didn't miss anything.
I hope this helps!
Answer:
Step-by-step explanation:
Let x represent the number of questions that Tim got right in the math test.
The number of questions that Tim got wrong in the math test is 10.
If the total number of questions on the math test is q, it means that
x + 10 = q
If he received 4 points for every correct answer and there was no penalty for wrong answers, it means that he received 0 point for a wrong answer. If
his score was 76 points, it means that
4x + 0 × 10 = 76
4x = 76
Therefore, the required equations are
x + 10 = q
4x = 76
Answer:
The gcf of 15 and 64 can be obtained like this: The factors of 15 are 15, 5, 3, 1. The factors of 64 are 64, 32, 16, 8, 4, 2, 1. The common factors of 15 and 64 are 1, intersecting the two sets above. In the intersection factors of 15 ∩ factors of 64 the greatest element is 1. Therefore, the greatest common factor of 15 and 64 is 1.
Hope this helped!
Good luck :p
~Emmy <3