I need help with #6 please.

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

Please help solve!
g(x) = 4x + 3
f(x) = 3x-4
Find (g o f)(5)

What percent is equivalent to 0.25%

The answer options is is and is not

Which figures below have at least one acute angle? Mark all that appley ​

$100 for 4 years at 4.5% per annum​

Anyone know the answer?? I’ve asked so many times but nobody seems to explain how to get it and just gives the letter so please explain!! I’ll give brainliest (:

I'll give The BRAINLIEST think of a story you know really well. It can be a book, tv show, movie, etc. Think about the main character and answer the following questions: 1) Who are they? 2) Where and when are they? 3) What is the super objective? 4) What are some smaller objectives? 5) What obstacles are there?
IF YOU DON'T ANSWER IT CORRECTLY ILL REPORT YOU FASTER THAN THIS NEEDS TO BE SUBMITTED.​

What is the total number of different 11-letter arrangements that can be formed using
the letters in the word ORTHOGRAPHY?

w
The table below lists the means and standard deviations for 5th graders in the district and for the norm group for
student performance in four different subjects. According to the table, the performance of the 5th graders in the
district is more variable than that of the norm group in which subject(s)?
ed
ati
n
100
Sc
Geography English Spelling Science
Mean of all 5th graders in District (150 students) 75
125 90
SD of these 5th graders
12
10 12 20
Mean of the Norm Group
85
100 120 90
SD of the Nom Group
10
10 15 15
ww
sti
20
ker
ndo
ted
Geography, Spelling, and Science
Geography and Spelling
Geography and Science
Spelling only
Science only
Geography only
lccr
Sa
le au
isid

Find x. Round your answer to the nearest tenth of a degree.
9
6
X

The probability line shows the probability of 5 chance events (A, B, C, D, and E) occurring. Which THREE statements BEST describe the likelihood of the event occurring?
A) Event A is certain to occur.
B) Event E is certain to occur.
C) Event D is certain to occur.
D) Event B is not likely to occur.
E) Event C has an even chance of either occurring or not occurring.

PLEASE HELP ME KSDAKJDSAJDJKS

Help ASAP pls im giving away all of my points!!
Do you think you would have liked to have been a participant in Biosphere 2? Why or why not?

5. How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s?

Tom and Kim are playing a game in which they use a spinner with 10 sectors. One of the sectors says, "$0," four
say, "S100," three say, "$200," and two say, "$500." Use a table to show the probability distribution.

The figure shows the dimensions of a rectangular storage room. Darnell
has boxes that are cubes with edges 1 1/2 ft long. What is the maximum
number of boxes that Darnell can fit in the storage room? Explain.
10 ft
6 ft
8 ft

Which statement correctly compares the spreads of the distribution

Find the quotient of the following:
(12x^4- 3x^4+ 15x^2)
and ( - 3x)

The value of the digit 6 in the number 47,602 is 10 times the value of the digit 6 in which number?
A. 76.201
B. 60.245
C. 53.462
D. 46,290

Consider again the tossing of a pair of dice. Find the probability the
sum is greater than 6. (Round to the hundredths)

can u do this plz urgent ​

Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax?

write the name of each signage in a sheet of paper ​

5. a meteroid travels 6/8 miles
in 30 seconds. How far will it
go in one minute?

Please help with this math question'

Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
answer?
24x^2
6x^2
16x
2x^4

Make the subject of the following Question

1. 10b= 3

7.1.13 Question Help Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=992 and x = 570 who said 'yes." Use a 99% confidence level. B Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)​

If a randomly thrown dart hits the board below,
what is the probability it will hit the shaded region?
B
1
3
D
con
4.

The county fair charges $1.00 per rode and an additional $3.00 to get in the fair. Write an equation to represent the total cost of attending the fair.

First identify the independent and dependent variables.​