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
HELP! WILL GIVE BRANLIEST!
Answers
Answer: I believe it is 108 good luck girl
Pythagorean theorem 3d
The Flat Family’s roof is 60 feet long and 32 feet wide. The TV antenna is 30 feet tall. The wires are attached 5 feet below the top of the antenna.
Mr. Flat needs to buy wire at his local hardware store. He decides to buy an additional 10% more than the amount we calculate…so he has enough to attach each wire on each end. How much total wire should he buy? Show all of your work so that Mr. Flat can understand it, and round your answer reasonably.
Answers
Answer:
ihhrhi2rhhb4rhbur4hbur4hb43hubr4u3br
Step-by-step explanation:
help me pls i don't have many points pls help if you don't believe me go to my acc and look at my points i only have 13
Answers
Answer:
1. 14
2. 17.5
3. 60
4. 238
5. 91.4375
6. 58.065
Step-by-step explanation:
Sorry, I'm only doing 6, GOOD LUCK!!!
10 POINTS!!!! Which polynomial represents the sum below ?
Answers
The answer is in option B.
Answer:
The right answer to this question is B
Given m∠3+m∠8=180° .
Answers
Answer:
5.175117
Step-by-step explanation:
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
22.4
Step-by-step explanation:
delta math
Answer:22.4
Step-by-step explanation:
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answers
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answers
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
Answers
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answers
Answer:
Larger groups take less time
Step-by-step explanation:
HELP! I’ll mark you brainliest! Find the area of the irregular figure.
Answers
Answer:
[tex] 177 \: cm^2 [/tex]
Step-by-step explanation:
Area of the irregular figure = Area of rectangle with dimensions 15 cm & 10 cm + Area of rectangle with dimensions (15-6-6=3) 3 cm and 2 cm + Area of triangle with base ( 2 + 2 + 3 = 7) 7 cm and height (18 - 10 - 2 = 6) 6 cm
[tex] = 15 \times 10 + 3 \times 2 + \frac{1}{2} \times 7 \times 6 \\ \\ = 150 + 6 + 21 \\ \\ = 177 \: {cm}^{2} [/tex]
Cole threw 50 darts. Here are his results Orange 29, Green 15, Blue 5, and Red 1 Calculate the experimental probability for each color. PLEASEEEE HURRYYY
Answers
Answer:
Orange 29/50, or 58%
Green 3/10, or 30%
Blue 1/10, or 10%
Red 1/50, or 2%
QUICK BRAINLIEST
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.
Answers
Answer:
what is the question?
Step-by-step explanation:
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answers
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
Answers
Write an equivalent expression for 6( 4 + 2m) ?
Answers
Answer:
QUESTION:
Write an equivalent expression for 6( 4 + 2m) ?
ANSWER:
6(4+2m) = ?
6 X 4 = 24
6 X 2m = 12m
Final answer:
12m + 24
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?
Answers
Answer: 10 quarters, 5 dimes.
Explanation:
10 x .25 = 2.50
5 x .10 = .50
2.50 + .50 = 3.00
Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.
Answers
Answer:
The unit rate is $1.99. The price of eight pounds of strawberry $15.92.
Step-by-step explanation:
To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.
Answer:
$15.92
Step-by-step explanation:
First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!
hi can you please help me with my work
Answers
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answers
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
simplify (a-4b)(a-2b)
Answers
Need answer quick please
Answers
In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
Find the area please..........................................
Answers
Answer:
Should be 216
Step-by-step explanation:
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
Answers
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
Answers
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
4 tran ra To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail m with 20 oz of nuts? Show your work. OLUTION metale to make bronz bronz
Answers
For starters I am not 100% sure of if this is correct I may not understand the quest so bare with me
Answer:
Cherry Trail Mix
Step-by-step explanation:
4 oz of nuts for every 3 oz of dried cherries
5 oz of nuts for every 2 oz of sunflower seeds
- Multpy the amount of nuts in each bag to 20 - Cherry Trail Mix: 4*5=20
Sunflower Trail Mix: 5*4=20
- Now multiply the amount of dried cherries and sunflower seeds by the number used to get to 20
Cherry Trail Mix: 3*5= 15 Sunflower Trail Mix: 2*4=8
- Now add up the amount of oz in each
Cherry: 20+15=35
Sunflower: 20+8=28
35oz > 28oz
Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answers
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
S a. A
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answers
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Find the area of the white region in the diagram shown.
Answers
Answer:
Option 4
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the shaded triangles
Area of the circle = πr²
r = Radius of the circle
Therefore, area of the circle = π(4)²
= 16π
Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= Base × Height
= (4 × 4)
= 16
Area of the shaded region = 16π - 16
Option 4 will be the correct option.
