Answer: x=16
Step-by-step explanation:
1. 3/4x = x/8+10
2. 3/4(2)= 6/8
3. 6/8x= 1/8x+10
4. 5/8x=10 ÷ 5/8 both sides
5. 5/8= .625 so 10÷ .625= 16
6. x=16
Answer:
x = 14.48
Step-by-step explanation:
first we have to see that we have the measurements from all sides
and we know that the angle between side 21 and 20 is 90 degrees
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
let's take the left angle as α
sin α = 21/29
α = sin^-1 (21/29)
α = sin^-1 (0.7241)
α = 46.397
Now we do the same with the smaller triangle
tan α = o/a
sin 46.397 = x/20
0.724 = x/20
0.724 * 20 = x
14.48 = x
x = 14.48
if we want to check it we can do the same procedure with the other angle
(-2/3) (-1.6)
(−2)(−3602879701896397) / (3)(2251799813685248)
=7205759403792794 / 6755399441055744
=1.066667
Answer:
<em>(c) Rs. 1500</em>
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:
Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
