Answer:
Step-by-step explanation:
m<ARL and m<LRB together equal 180 degress.
x=37.4
So 2(37.4)-5 is
m<LRB=69.8
Answer:
The value of 'x' is 1 and 'y' is 2. So, the point is (1, 2).
Step-by-step explanation:
Given:
The given pair of linear equations are:
In order to solve by elimination method, we have to eliminate any one variable using mathematical operations. Let us eliminate 'y'.
Multiplying the first equation by 2 and adding the result to the second equation. This gives,
Now, the value of 'y' can be calculated by plugging in 1 for 'x' in the first equation. This gives,
Therefore, the value of 'x' is 1 and 'y' is 2.
The solution is (1, 2).
By drawing?
If so, here: first outline the current shape as big as you want it... Then, erase the first shape!
Answer:
The solution of the first image is: b = √48
The solution of the second image is: c = √125
Step-by-step explanation:
Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.
For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:
A^2 + B^2 = H^2
Where H is the side that is opposite to the right angle (the angle of 90°)
In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.
We want to find the value of b, that is the other cathetus.
Then we have:
4^2 + b^2 = 8^2
b^2 = 8^2 - 4^2
b^2 = 48
b = √48
Second image:
in this case, c is the hypotenuse, a and b are the cathetus.
We know that:
a = 5, b = 10
Then we have the equation:
a^2 + b^2 = c^2
Now we can replace the above values:
5^2 + 10^2 = c^2
25 + 100 = c^2
125 = c^2
√125 = c
Area of the 3 rectangles that make up the prism:
30 * 25 + 30 * 17 + 30 * 28 = 2100
Area of the two triangles at either end:
Use bh/2
(15 * 28)/2 = 210
There are two so it’s 420
2100 + 420 = 2520cm^2
