Evaluate (101.5)²-(100.5)²

Mathematics

1 answer:

makvit [3.9K]4 years ago

8 0

You can exploit the difference-of-squares identity,

a² - b² = (a - b) (a + b)

Then

101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)

101.5² - 100.5² = 1 * 202

101.5² - 100.5² = 202

You might be interested in

the right triangular prism and the square rectangular prism both haven't had a 10 in in the same volume. A plane slices both sol

gogolik [260]

Answer: 6 inches

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

Both images have the same volume and the same height, therefore the Area of their bases must be equal to each other.

Area of the triangle

$A=\dfrac{1}{2}\cdot b \cdot h\\\\.\quad=\dfrac{1}{2}\cdot 8 \cdot 9\\\\.\quad= 36$

Area of a square

A = s²

36 = s²

6 = s

6 0

4 years ago

Divide and write in simplest form.

iren2701 [21]

Answer:

1. $\frac{3}{17}$ (3/17)

2. $\frac{3}{7}$ (3/7)

3. $\frac{45}{184}$ (45/184)

Step-by-step explanation:

1. $\frac{\frac{3}{5} }{3\frac{2}{5}}$ = $\frac{\frac{3}{5} }{\frac{17}{5}}$ = $\frac{\frac{3}{1} }{\frac{17}{1}}$ = $\frac{3}{17}$

2. $\frac{2}{4\frac{2}{3}}$ = $\frac{\frac{2}{1} }{\frac{14}{3}}$ = $\frac{2}{1} /\frac{14}{3}$ = $\frac{2}{1} *\frac{3}{14}$ = $\frac{6}{14}$ = $\frac{3}{7}$

3. $\frac{\frac{5}{4} }{5\frac{1}{9} }$ = $\frac{\frac{5}{4} }{\frac{46}{9}}$ = $\frac{5}{4}/\frac{46}{9}$ = $\frac{5}{2}/\frac{23}{9}$ = $\frac{5}{2}*\frac{9}{23}$ = $\frac{45}{184}$