Answer is 24, the hypotenuse is twice the size of the shortest leg
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
6 large taxis x 7 people per large taxi = 42 people. In total there are 75 people. 75-42=32 people left. If you want to divide these people over small taxis, you divide 32 by 4, 32/4=8, so you need 8 small taxis
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,

We have to remove the parenthesis now.

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.



Now to get x, we have to move 3 to the other side, by dividing it to both sides.



We have got the required value of x.
The solution is x= 25.
Answer:
1/3
Step-by-step explanation:
simplify
81^(-1/4)
= 1/81^(1/4)
= 1/[3×3×3×3]^(1/4). (factorize 81)
= 1/[3]^(4/4)
= 1/3