Can’t figure this out could you help me ?

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Answer: - 1 1/4

Step-by-step explanation:

-6/4 as a mixed number is - 1 1/2, also known as -1 2/4. The nearest numbers to this number are -1 1/4 and -1 3/4. Since the question asks for the number one tick mark to the right, it is - 1 1/4. Since the negative number goes like -3, -2 -1, 0.

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What are the values of a and b?

ivann1987 [24]

Answer:

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

$\dfrac{a}{20}=\dfrac{20}{21}$ <em>cross multiply</em>

$21a=(20)(20)$ <em>divide both sides by 21</em>

$a=\dfrac{400}{21}$

For b, we can use the Pythagorean theorem:

$b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}$