You have to deal with this type of question step by step. Firstly, you can figure out all the unknown values (such as sqrt x-3), by substituting x for 19, as you are trying to figure out f(x) when x=19. Therefore:
x+2=21
sqrt(x-3)=sqrt(19-3)=sqrt 16=4
Now the equation is easier to handle:
3/21 - 4
We can write this as 3/21 - 4/1 , which equals -27/7.
Answer:
85
Step-by-step explanation:
alternate exterior angles
The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.
<h3>What is the volume of the entire rocket?</h3>
The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.
Volume of the cylinder = πr²h
Where:
- π = 3.14
- r = radius 2
- h= height = 12 - 4 = 8 inches
3.14 x 2² x 8 = 100.48 in³
Volume of the cone = 1/3 πr²h
1/3 x 2² x 3.14 x 4 = 16.75 in³
Volume of the rocket = 100.48 + 16.75 = 117.23 in³
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Answer: nickels = 14, dimes = 42, quarters = 18
<u>Step-by-step explanation:</u>
Let n represent nickels <em>which has a value of $0.05 </em>
Let d represent dimes <em>which has a value of $0.10</em>
Let q represent quarters <em>which has a value of $0.25</em>
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 <em>multiplied by 100 </em>
5n + 30n + 25n + 100 = 940 <em>distributed</em>
60n + 100 = 940 <em>added like terms</em>
60n = 840 <em>subtracted 100</em>
n = 14 <em>divided by 60</em>
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
Answer:
(-4,22)
Step-by-step explanation:
is the right answer
