First number = X
second number = x +26 ( exceeds means higher so add 26)
x + x+26 = 58
combine like terms:
2x + 26 = 58
subtract 26 from each side:
2x = 58-26
2x = 32
divide both sides by 2:
x = 32/2
x = 16
first number is 16
second number = 16+26 = 42
Answer:
Step-by-step explanation:
Given expression is,

To prove this identity we will take the right side of the identity,


![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Answer:
36%
Step-by-step explanation:
line up $ and % data like this:
$2.79 represents 100%
$3.79 represents X%
cross multiply
X*2.79 = 3.79*100
divide both sides by 2.79
X= 3.79*100 / 2.79 ≈ 136%
so it increased 36%
Answer:
Step-by-step explanation:
Let d be the diameter of the wheel.
Circumference = πd
(35.325 m)/(25 revolutions) = (1.413 m)/revolution
πd = 1.413
d = 1.413/π = 0.45 m