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denpristay [2]
3 years ago
10

Each of 16 students will give a 1 1/5 minute speech in English class.

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

19 1/5

Step-by-step explanation:

1 1/5 * 16

6/5 * 16

96/5

19 1/5

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Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB
vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

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<u>Therefore, LB= 12 feet</u>

3 0
3 years ago
a 18 ft tall statue standing next to a globe casts a 12 ft shadow. Of the globe casts a shadow that is 2 ft ling, then how tall
Igoryamba
<h3>Answer:</h3>

3 ft

<h3>Step-by-step explanation:</h3>

The statue's height is 1.5 times the length of its shadow, so we expect the same relationship for the globe.

... 1.5 × 2 ft = 3 ft

_____

<em>Comment on the problem</em>

As a practical matter, with the sun high enough in the sky to cast a shadow shorter than the object's height, it will be quite difficult to measure the length of the shadow of the point at the top of the globe. The shadow of other parts of the globe will interfere.

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Answer:

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Step-by-step explanation:

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The two other sides of the triangle=\sqrt{3 squared+6 squared}=(9+36)square rooted=45 square rooted is about 6.7.

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13.4+12=25.4

25.4 rounded to the nearest unit is 25.

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