Solve the following triangle using either the law of sines or the law of cosines b=6 , c=12, A=48°
Answers
9514 1404 393
Answer:
(a, B, C) ≈ (9.15, 29.2°, 102.8°)
Step-by-step explanation:
The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...
a² = b² +c² -2bc·cos(A) ≈ 83.6452
a ≈ √83.6452 ≈ 9.146
__
Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.
sin(B)/b = sin(A)/a
B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)
B ≈ 29.2°
C = 180° -48° -29.2° = 102.8°
The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).
Related Questions
Round 6,584,003 to the nearest 10,000
Answers
The answer is 6,580,000.
I hope this helped! :)
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answers
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
look at pic 10 pts will mark brainilest
Answers
Answer:
B. 160 minutes
Step-by-step explanation:
200/5=40
40*4=160
Answer:
160
Step-by-step explanation:
You would have to divided the recent pages (200) with the previous (5)
and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160
How it was worked out:
200 / 5 = 40, 40 x 4 = 160
Look at the two quadrilaterals shown below.
Which one of the following statements about these quadrilaterals Is FALSE?
Both quadrilaterals have four equal angles.
Both quadrilaterals have four equal sides.
Both quadrilaterals have opposite parallel sides.
Both quadrilaterals have four right angles. The two shapes are a square and a rectangle
Answers
Answer:
"Both quadrilaterals have four equal sides."
Step-by-step explanation:
This statement is only true for a square since as we all know it has four equal sides, but a rectangle has two parallel sides that are equal to each other but on the other two parallel sides, they must differ in length.
Answer:
"Both quadrilaterals have four equal sides." is the false statement
Step-by-step explanation:
Can anyone help me with this quickly?
Answers
9514 1404 393
Answer:
N17.91°W0.9 hoursStep-by-step explanation:
The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...
wrong vector + B = intended vector
B = (intended vector) -(wrong vector)
Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.
B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator
__
a) The new bearing must be N17.91°W
__
b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...
4.872 -4.0 ≈ 0.9 . . . hours
longer than originally planned.
_____
Comment on coordinates
Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.
Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)
Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.
Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)
Please help me ASAP AND explain the steps plz. Zymirah earns 5% commission on all sales at a jewelry store plus $10 an hour. Yesterday she
sold $3,200 in merchandise and earned a total of $240. How many hours does she work?
a. 8 hours
b. 12 hours
C. 32 hours
d. 160 hours
Answers
Answer:
a) 8 hours
Step-by-step explanation:
h = # hours worked
240 = .05(3200) + 10h
240 = 160 + 10h
80 = 10h
8 = h
Which functions have a period of 2 pi
Answers
Answer:
yes
Step-by-step explanation:
-2
у
5
4.75
4.5
4.25
1
2.
Answers
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Answers
Answer:
3:7 or 3/7
Step-by-step explanation:
if it helps don't forget to like and mark me
PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.
Answers
Answer:B 4
Step-by-step explanation:
its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped
helppppppppp m eeeee plzzzzzzz
Answers
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answers
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help
Answers
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
safari
Manny buys hot dog buns for a cookout. he needs 30 buns and he buys bags of 8 buns. how many bags does manny need?
Answers
Answer:4
Step-by-step explanation:
30÷8=3.75
3.75=4
Manny need 4 bags.
help please i really need this done
Answers
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
What is the volume?
12ft
15ft
7ft
Answers
Answer:
1260
Step-by-step explanation:
Helpppppppppppppppppppppppp
Answers
Answer:
[tex]x = 15[/tex]165+x = 180 (linear pair)
Hence x = 15
PLS HELP I NEED THIS IN 3 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER
A triangle scarf has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the triangle.
A parallelogram-shaped window has an area of 18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?
Answers
Answer:
Step-by-step explanation:
as Area of triangle is=1/2 base*height
Given
area=70
height=h=8
base lenght=?
put values in above formula for unkown
70=1/2 (8*b)
70=4*b
b=70/4
b=17.5 units
Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?
Answers
Step-by-step explanation:
X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1
A coffee shop sells their coffee beans by the pound. the table below shows the cost in dollars for a pound of two different types of beans. How much more is the cost for 1 1/3 pounds of jimmy jitters beans then the calls for 1 1/3 pounds of Harry's himalayan beans
Answers
Answer: 23.6
Step-by-step explanation:
9.25+8.42 = 17.7
1 1/3 x 17.7 = 23.6
1. Answer the following questions related to purchasing a car.
a. You need to buy a vehicle. The information from the vehicle sticker is
listed below to calculate the negotiated price. (5 points)
2021 Subaru Forester
Retail Price $24,705
Delivery Fee $221
Keyless Entry $350
Dual AC $550
Tinted Windows $500
b. Once you have the correct negotiated price, find the total price with taxes
and fees. You have a registration fee of $150 and 5% tax to pay in addition
to the negotiated price. (10 points)
Answers
helppppp it timeddddd quickkkkkkk i give brainlyist toooo
Answers
Answer:
Hello, I believe the answer would be PK since both XS and PK are the same height.
Step-by-step explanation:
I hope this helped you!
Answer:
option A
PK corresponds to XS
U
7.
52°
V
т
х
Round it to the nearest tenth
Answers
Answer: so i got 31 but if you round it it will be 30 hope it helps
Step-by-step explanation:
Find the volume..
Pleaseeeee helppp being timed
Answers
Answer:
The right answer is 125.6
Answer:
A. 502.4
Step-by-step explanation
what does 7 x 3/4 equal?
Answers
Answer:
21/4
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
21/4 that's it. ..........
I NEED HELP!!!!
SELECT ALL THAT APPLY
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=1/2bh
A. Trapezoid
B. Triangle
C. Rectangle
D. Square
E. Cube
Answers
Answer:
B
Step-by-step explanation:
Cand D: A= bh
A: A = (a+b)/2h
E: A= 6a^2
help please ! i need this asap
Answers
Answer:
x = 65° + 60° = 125°
ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?
Answers
Answer:
D + 550 = X
The band accounted for 25% of the budget.
Step-by-step explanation:
Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:
D + 550 = X
D = 1650
1650 + 550 = X
2200 = X
2200 = 100
550 = X
550 x 100/2200 = X
55,000 / 2,200 = X
25 = X
Therefore, the band accounted for 25% of the budget.
Zoe collects dinosaur models. she has 912 models and keeps them in different shoe boxes Zoe keeps 24 dinosaurs in each box how many boxes of dinosaurs does she have
Answers
Answer:
Zoe has 38 boxes.
Step-by-step explanation:
I found this answer by dividing 912 by 24 (912/24).
I hope this helped.
Look at the pic smart people
Answers
Answer is 8/10..............
Okay here we go.
They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.
1 x 2= 2
5 x 2= 10
So now that 1/5 is equivalent is 2/10, we just add.
2/10 + 6/10= ?
For adding fractions, only add the numerators.
2+6=8 --> 8/10
2/10 + 6/10= 8/10
And so there you go.
1/5 + 6/10= 8/10
Hope this helps!
