Answer:
486 feet
Step-by-step explanation:
h = -16t² + 550
h = -16(2)² + 550
h = 486
Answer:
x = 3.76 ft
Step-by-step explanation:
To find the missing side, "x", solve using proportions.
In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).
Therefore, if you divided the pairs of corresponding sides, they would be equal.
From the diagram, you can tell that the following sides correspond:
CB ~ GF
AB ~ EF
<u>Use the proportion</u>
Substitute values from diagram
Multiply both sides by 6 ft
"x" is isolated. Multiply fraction by combining into numerator
Solved numerator. Divide for decimal answer.
The value of 'x' is 3.76 ft.
Answer:
<em>The greatest number of song he can practice in a week is 2.</em>
Step-by-step explanation:
Suppose, the greatest number of song he can practice in a week is 
He practices each song for 
hours. So, the total time required for practicing number of songs 
hours.
Given that, he practices his guitar for 9 hours each week.
So, the equation will be......
<em>(Rounded as the greatest whole number)</em>
Thus, the greatest number of song he can practice in a week is 2.
Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
Answer:
X=3, y=5
Step-by-step explanation:
3x + y = 14 equation 1
y=5 equation 2
3x + 5 = 14. substitute value of y from equation 2 into equation 1
3x=9
x-3
