Angles in a triangle must add up to 180, so the missing angle inside the triangle is 180 - (70 + 40), which is 70.
Angles on a straight line (i.e. the line BD) must add up to 180, and because we know part of that angle is 70, x must be 180 - 70, which is 110.
Hence, x is 110 degrees.
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)
Answer
A. O.8743874374387438743....
Step by step explanation
Let's take a = O.8743874374387438743....
10a = 8.743874374387438743....
Similiarly,
10000a = 8743.874374387438743....
Since four decimal places are repeating.
Now subtract a from 10000a
10000 a - a = 8743.874374387438743.... - O.8743874374387438743....
9999 a = 8743
a = 8743/9999
8743/9999 = O.8743874374387438743....
That's it.
Hope you will understand the concept.
Thank you.
Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4
Area= base x height
So, the base is 9 1/4 and the height is 18 feet
so, the Area= 9 1/4 x 18
9 1/4 x 18
= 166.5