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2 years ago

Is 6,500 ten times as much as 65 explanation and how to get the answer

Mathematics

1 answer:

stellarik [79]2 years ago

5 0

No, 6,500 is one hundred times as much as 65, because of the two zeros on the end. 100 and 6,500.

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The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

ozzi

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15x = 180
x = 180/15
x = 12
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2 years ago

Upper AA 66-ft-tall fence runs parallel to a wall of a house at a distance of 3030 ft. Find the length of the shortest ladder t

Mkey [24]

Answer:

0.33 ft

Step-by-step explanation:

From the diagram, triangle ACE is similar to triangle BCD.

Therefore,

$\frac{b}{30+b} = \frac{6}{a}$

$a=\frac{6(30+b)}{b}$

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Using Pythagoras theorem

$L^{2}=(30+b)^{2}+(\frac{6(30+b)}{b})^{2}$

$L^{2}=\frac{(30+b)^{2}(36+b^{2})}{b^{2}}$

$L=\sqrt{\frac{(30+b)^{2}(36+b^{2})}{b^{2}} }$

$L=\frac{30+b}{b}\sqrt{b^2+36}$

To find the least value, we have to equate the derivative of L to 0.

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Therefore:

b³-1080=0

b³=1080

b=10.26

The minimum length of the ladder is:

$L=\frac{30+10.26}{10.26}\sqrt{10.26^2+36}$

=0.33 ft

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Angle x is the largest angle in triangle XYZ. Angle y is the smallest angle. How does the sum of the measures of angles y and z

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