Answer:
-2x+5<3
-2x<5-3
-2x<2
-2x>2
Divide de both sides by -2
x>-1
Answer:
x = 71°
Step-by-step explanation:
because the triangle shown in the image is an isosceles if the top angle is 38 the sum of other two angles must be 142 which is ,if divided by 2, makes 71
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral 
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:
We will use Integration by parts formula to solve our given problem.
Let 
and 
.
Now, we need to find du and v using these values as shown below:
Substituting our given values in integration by parts formula, we will get:
Compute the boundaries:
Therefore, the value of the given integral would be 8.733046.
Answer:
From the information we can conclude that the triangle is a isosceles triangle.
First, we can calculate the hypotenuse by using pythagorean theorem:
√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)
To calculate the area of the triangle, we first need to know the height of it.
Since this is a isosceles triangle, the altitude (which is also the height) will also be the median of that triangle.
Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.
From the reasoning above, we can now calculate the height of the triangle:
8/2 = 4(cm)
The area of the triangle should be:
S = hb/2 = (4 . 6)/2 = 12 (cm²)
