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agasfer [191]
3 years ago
12

The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. F

ind the length of a diagonal.

Mathematics
2 answers:
Neko [114]3 years ago
8 0

Answer:23 feet

Step-by-step explanation:

snow_lady [41]3 years ago
3 0
Check the picture.

Consider the triangle DAB, with |DA|=9 ft, |AB|=23 ft and m(DAB)=80°.

To find the length of the diagonal, |DB|, we use the cosine law:

|DB|^{2}= |DA|^{2} + |DA|^{2} -2|DA|*|AB|*cos(DAB)

=9^{2}+23^{2}-2*9*2*(0.173)=81+529-6.228=603.7

Thus, |DB|= \sqrt{603.7}=24.6 (ft)


Answer: 24.6 ft

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Answer:

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Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

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Lucia has 3.5 hours left in her workday as a car mechanic. Lucia needs 1/2 of an hour to complete one oil change.
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Answer: So Lucía has 3.5 hours left, and need 1/2 of an hour (or 0.5 hours) to do one oil change.

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So she can do 7 oil changes in 3.5 hours.

b) If she can complete two car inspections in the same amount of time it takes her to complete one oil change, then she can do two car inspections in 0.5 hours.

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c) Two ways to solve this:

1) Do the same that we did in a), this is: 3.5/0.25 = 14

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360 is divisible by which of the following numbers 2,3,4,5,6,9, or 10
alukav5142 [94]

Answer:

360 is divisible by all numbers 2,3,4,5,6,9 or 10 .

Step-by-step explanation:

Given : 360

To find : 360 is divisible by which of the following numbers 2,3,4,5,6,9, or 10

Solution : We have given

Numbers 2,3,4,5,6,9, or 10.

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For number = 4

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For number = 10

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