Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem
The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.
21.
So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: 
, or A.
22.
So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:
Now the rule with converting negative exponents into fractions is 
. In this case, 4^-2 would turn into 
, or C, which is your final answer.
Answer: 8.5
Step-by-step explanation:
I just took the quiz last week.
Cost of company A=monthlyfee+text=20+0.03t where t=number of texts
A=20+0.03t
company b is monthlyfee+texts=5+0.07t
B=5+0.07t
1.
c=20+0.03t
c=5+0.07t
using c for cost is confusing because we can't tell which is for which company
2.
equal, means the costs are equal so
20+0.03t=5+0.07t
minus 5 from both sides
15+0.03t=0.07t
minus 0.03t from both sides
15=0.04t
divide both sides by 0.04
375=t
the answer is 375 texts
Answer: 5.000
Step-by-step explanation:
The formula to find the standard deviation for binomial distribution is given by :-
, where p is the probability of getting success in each trial and n is the number of trials.
Given : The probability of flipping a coin and noting Heads is = 0.50
The total number of trials = 100
Then , the standard deviation of Heads to be noted will be :-
Hence, the standard deviation of Heads to be noted = 5.000
