Find the measure of each angle of triangle abc, given ac=6, cb= 2 square roots of 3, and ab= 4 square roots of 3

1 answer:

5 0

Note that
(4sqrt3)^2 = (2sqrt3)^2 + 6^2 [ 48 = 12 + 36] so the triangle is a right angled one with hypotenuse AB

So angle C = 90 degrees

sin A = 2 sqrt3 / 4 sqrt3 = 1.2 giving A = 30 degrees
and B = 90 - 30 = 60 degrees

A = 30, B = 60 and C = 90 degrees

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Which data set is the most spread from it's mean?

laila [671]

Answer

C. 49, 17, 4, 18

Step by step explanation

Here mean of all the data set is 88

To find the most spread of data, we need to find the range.

range of set A = The highest value - the lowest value = 36-6 = 30

Range of set B = 30-15 = 15

Range of set C = 49-4 = 45

Range of set D = 30-14= 16

Here the highest range is in Set C.

Therefore, answer is C. 49, 17, 4, 18

4 0

4 years ago

Read 2 more answers

What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$