X/360 = 55/100
Cross multiply 55 by 360 and 100 by x.
19,800/100x.
X = 198.
198 people passed.
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
5.5 is my predicted answer
Answer: The sequence 3, 12, 26, ... is not a geometric sequence.
Answer:
The expression for the given value of the variable d=75 is, 135
Step-by-step explanation:
Given the expression:
![2d+\sqrt[3]{-45d}](https://tex.z-dn.net/?f=2d%2B%5Csqrt%5B3%5D%7B-45d%7D)
....[1]
We have to find the value for the given expression when d = 75
Substitute the value of d in [1] we have
![2(75)+\sqrt[3]{-45(75)}](https://tex.z-dn.net/?f=2%2875%29%2B%5Csqrt%5B3%5D%7B-45%2875%29%7D)
⇒ ![150+\sqrt[3]{-3375}](https://tex.z-dn.net/?f=150%2B%5Csqrt%5B3%5D%7B-3375%7D)
⇒
Simplify:
⇒
Therefore, the expression for the given value of the variable d=75 is, 135
