Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
Substitute in the given value and solve
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
Answer:
one quarter (.25) + three dimes (.30) = .55
Answer:
35 mililiters
Step-by-step explanation:
Given
Required
Accumulated amount from t = 0 to 2
This implies that, we substitute the values of t from 0 to 2 in the function
The accumulated sand (r) is:
36j + j = 37j
Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.
The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a
Hence 36j + j = 37j
Answer:
For a triangle with <em>a</em> = 33, <em>c</em> = 48 and the angle , the missing side is <em>b = </em>60.4, and the missing angles are and .
Step-by-step explanation:
The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle, not just right triangles.
We know two sides <em>a</em> = 33, <em>c</em> = 48 and the angle , so we use the law of sines to find the angle as follows:
One of the basic properties of triangles is that the sum of the measure of angles, in every triangle, is 180°.
So,
To find the side <em>b</em> we use the law of sines: