Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
5(3 - x) - 4(2 - 3x) > 2
15 - 5x - 8 + 12x > 2 <em>distributed 5 and 4 on the left side</em>
7 + 7x > 2 <em>added like terms (15 and -8) and (-5x and 12x)</em>
<u> -7 </u> <u>-7 </u>
7x > -5


Answer:
Step-by-step explanation:
acute ks little angles
obtuse is big angles
in a riangle it adds up to 180
Answer:
ans. = 5400000000 or 5.4×10^9
Step-by-step explanation:
14000000000-8600000000
Given:
The expression is:

To find:
The value of the given expression when
and
.
Solution:
We have,

Putting
and
, we get

It can be written as

![[\because a^0=1,a\neq 0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%2Ca%5Cneq%200%5D)


Therefore, the value of the given expression
when
and
.