Answer:
44/3 degrees
Step-by-step explanation:
Angle CBD = 180 - (64 + 72) = 44
Angle ADB = 44/3 (Since of the ratio)
<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.
Given

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.
Therefore, </span><span>

in standard notation is

</span>
Answer:
Hello :)
Step-by-step explanation:
1. a
2. None
3. c
4. b
Hope this helps :)
Answer:
384 inches squared
Step-by-step explanation:
The surface area for one of the sides is 8 x 8 = 64
There are 6 sides so 64 x 6 = 384
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN