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3 years ago

Each figure shows a triangle with one of its angle bisectors. 12) 22 - 38°. Find mZTRS.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

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If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.

andrew-mc [135]

Tan(theta) = 5/4
sin(theta)/cos (theta)=5/4
cos(theta)=4sin(theta)/5
sin²(theta)+cos²(theta)=1
sin²(theta)+16sin²(iheta)/25=1 /*25
25 sin²(theta)+16 sin²(theta)=25
sin²(theta)=25/41 /√
sin(theta)= $\frac{-5 \sqrt{41} }{41}$
cos(theta)= $\frac{-4 \sqrt{41} }{41}$
cot(theta)= $\frac{4}{5}$
csc(theta)=1/sin(theta)= $\frac{- \sqrt{41} }{5}$
sec(theta)=1/cos(theta)= $\frac{- \sqrt{41} }{4}$

5 0

3 years ago

Lindsey found the median and mean of the list of numbers below: 4, 6, 8, 8, 15 If the number 23 was added to the list, then ____

Sav [38]

D.) The mean will increase

The mean is all the numbers added together than divided by the amount of numbers there, so if you do this: 4 + 6 = 10 + 16 = 26 + 15 = 41/5 = 8.2

4 + 6 = 10 + 16 = 26 + 15 = 41 + 23 = 64/6 = 10.66666666666

As you can see it increased! Hope this helped! Pls give brainiest if you can

6 0

4 years ago

A blue whale, the largest mammal in the world, weighs 1.36 * 105 kilograms as an adult. An adult killer whale weighs about 4 * 1

sergejj [24]

Answer:

(1.36 × $10^{5}$ ) - (4 × $10^{3}$ ) = 132000kg

1.32 × $10^{5}$ kg = 1320000

7 0

3 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the

lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = $\sigma$ = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

$z=\frac{x-u}{\sigma}$