Answer:
Mr mehra's salary is 26250
Step-by-step explanation:
suppose,
Mr mehra's salary is x
so,
He spends in food = 30% of x
=(30/100) . x [x%=x/100]
= 30x/100
=3x/10
He spends in charity =10% of x
=10x/100
=x/10
Money left = 15750
so,
x = 3x/10 + x/10 + 15750
⇒x - 3x/10 - x/10 = 15750
⇒(10x-3x-x) /10 = 15750
⇒6x/10 = 15750
⇒6x=157500
⇒x = 157500/6
⇒x = 26250
∴Mr mehra's salary is 26250
Answer:
Step-by-step explanation:
<u>Right Triangles</u>
A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.
Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.
We'll use the adjacent angle, and
Solving for c
Rationalizing
Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that
Solving for h
Rationalizing
Answer:
3 points on the line - (.5,3) (1,2) (1.5,1)
Step-by-step explanation:
y = -2x + 4 (1.5,1)
1 = -2x + 4 subtract 4 from each side
-3 = -2x divide each side by -2
1.5 = x
y = -2x + 4 (1,2)
2 = -2x + 4 subtract 4 from each side
-2 = -2x divide each side by -2
1 = x
y = -2x + 4 (.5,3)
3 = -2x + 4 subtract 4 from each side
-1 = -2x divide each side by -2
.5 = x
Answer:
Combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation
Step-by-step explanation:
The first thing to keep in mind is the difference between combination and permutation.
The main difference is that in the combinations the order does not matter, whereas in the permutations the order does matter.
Combination example:
Choose 7 people for a project.
Example of permutation:
Choose 5 men for each specific role in a soccer team.
Therefore, "group of 5 senators is chosen to be part of a special committee" is a combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation.
Answer:
The third side is 5.7 centimeters.
Step-by-step explanation:
The hypothenuse is the largest side of a right triangle. So in this question, we know that the hypothenuse is 7.
One of the sides is 4, and the other is x.
Applying Pythagoras' Theorem:
Since it is a length measure, we only take the positive value
The third side is 5.7 centimeters.
