Answer:

Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:

The height is marked as
inches. Thus, the volume of the prism is:

True because the government doesn’t fall under financial institutions it only invests for its citizens
Answer:
1 cm to 7.5 m
Step-by-step explanation:
A drawing scale is a ratio of two numbers.
The given scale, 4 cm to 30 m, can be written as a ratio in the form of a fraction,
(4 cm)/(30 m)
Since it can be written as a fraction, it can also be reduced like a fraction.
The problem wants the number of cm to be 1 cm. We have 4 cm.
Divide the numerator and denominator by 4.
(1 cm)/(7.5 m)
Now write it in the format the problem asks.
1 cm to 7.5 m
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer:
B. 2.77 · 10^28
Step-by-step explanation:
The total number of atoms is ...
(6.02·10^23 atoms/mol)·(4.6·10^4 mol) = (6.02·4.6)·10^(23+4) atoms
≈ 27.7·10^27 atoms
≈ 2.77·10^28 atoms . . . . . . put in scientific notation form
_____
Scientific notation has one non-zero digit to the left of the decimal point and the exponent adjusted accordingly.
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Your calculator can help you figure this out. If necessary, put the display into scientific notation mode. (For numbers this size, it is usually not necessary.)