Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57 Step-by-step explanation:
First, do what is in the parentheses. 75 times 50 is 3,750. Divide it by 100 to get 37.5. 10 + 6(37.5) - 1/2. Do the multiplication to get 10 + 225 - 1/2. Now you get 235 - 1/2. Solve to get 234 1/2.
Answer:
87.08% percentage of families spend more than $4000 annually on food and drink
Step-by-step explanation:
Given -
average annual expenditure on food and drink for all families is $5700
Mean
= 5700
standard deviation
= 1500
Let X be the no of families spend annually on food and drink
percentage of families spend more than $4000 annually on food and drink =
= 
=
Using 
= 1 - 
= 1 - .1292
= .8708
= 87.08%
<span>To find out what percent 7 out of 20 is, we
need to ask: 7 out of 20 is how many out of 100? 5 groups of 20 make
100, so 7 out of 20 is 35 out of 100 (5 x 7 out of 5 x 20). Therefore 7/20 equals 35%, or 0.35 if we represent it as a decimal. I hope this helps</span>
Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality 
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to 
"at least" means 
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to 
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.