Use the unit circle to find tan 30°. a. 3 b. square root 3/2 c. 1/2 d. 2

Mathematics

1 answer:

Montano1993 [528]3 years ago

8 0

C is the answer I believe

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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

katrin [286]

The area of the cross section of the column is $18 \pi \ m^2$

Explanation:

Given that a building engineer analyzes a concrete column with a circular cross section.

Also, given that the circumference of the column is $18 \pi$ meters.

We need to determine the area of the cross section of the column.

The area of the cross section of the column can be determined using the formula,

$Area= \pi r^2$

First, we shall determine the value of the radius r.

Since, given that circumference is $18 \pi$ meters.

We have,

$2 \pi r=18 \pi$

$r=9$

Thus, the radius is $r=9$

Now, substituting the value $r=9$ in the formula $Area= \pi r^2$ , we get,

$Area = \pi (9)^2$

$Area = 81 \pi$

Thus, the area of the cross section of the column is $18 \pi \ m^2$

5 0

3 years ago

In the given figure ABCD is a parallelogram, E is the midpoint of BC. DE produced meets AB produced at L. Prove that AB = B L an

aliina [53]

Answer:

<em>See Reasoning Below</em>

Step-by-step explanation:

To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅ DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;

$m$

Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved

See attachment in statement reasoning form for part 1;