Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
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<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:100
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
i am not certain but this is how I got it
First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6
Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers
After you divide you get 3/2 then put it has a decimal and you get 1.5
Answer:
<h2>C(V(r)) = 3.2πr3</h2>
Step-by-step explanation:
This problem is a composition of function defined by C(V(r)), now we have the functions 
and 
, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,
Therefore, the right answer is the last choice.
Answer:
Two options:
5,6, and 7
-1,0,and 1
Step-by-step explanation:
Three consecutive natural numbers can be represented as n, n+1, and n+2.
The product of the smaller two would be n(n+1). The less than 5 times the larger is 5(n+2)-5.
Set them equal and solve by factoring:
Set each factor equal to 0.
n-5==0 so n=5.
n+1=0 so n=-1.
This means the 3 consecutive numbers would be 5,6, and 7
OR
-1, 0 or 1.
