Solve the oblique triangle using the Law of Sines and/or the Law of Cosines. Find all side lengths rounded to
the nearest whole and all angles rounded to the nearest whole.
Answers
Side a of the oblique triangle is 25.57 units and side b is 9.42 units.
What is the law of sines?The number of sides of a triangle and how their individual sine angles are equal are determined by the law of sines. Other names for the sine law are sine rule, sine formula, and sine law. The law of sine is used to determine the side or unknown angle of an oblique triangle.
Given:
∠A = 107
∠B = 21
∠C = 52
c = 21
So, using the law of sines
b/sin B = c/ sin C
b/sin 21 = 21/sin 52
b = (21 × sin 21) / sin 52
= (21 × 0.35) / (0.78)
b ≈ 9.42
Similarly, side a of the triangle is given by
a/ sin A = c/ sin C
a/sin 107 = 21/sin 52
a = (21 × sin 107) / sin 52
= (21 × 0.955) / (0.78)
a ≈ 25.57
To know more about the law of sines, visit:
https://brainly.com/question/17289163
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Related Questions
First down = 25 yards.
Ball moved 6 yards closer = 25 - 6 or 19 yards.
Then 10 yards away = 19 + 10 or 29 yards.
Then 8 yards closer = 29 - 8 or 21 yar
Answers
This is the question.
At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?
After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answers
Answer:
3 scoops for $3.69 is the best deal
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answers
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
el área de un rectángulo es 6 x al cuadrado más 2x en cm Determine su base y altura
Answers
Answer:
Tres respuestas posibles son:
2 y 3x^2 + x
2x y 3x + 2
x y 6x + 2
y hay muchas mas.
Step-by-step explanation:
Hay muchas respuestas posibles.
6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answers
Answer:
solution: x=6
Step-by-step explanation:
8(2x-14)+13=4x-27
next, distribute 8 through the parentheses
16x-112+13=4x-27
calculate the sum
16x-99=4x-27
move the variable to the left-hand side and change it's sign
16x-4x-99=-27
move the constant to the right-hand side and change it's sign
16x-4x=-27+99
collect like terms
12x= -27+99
calculate the sum
12x=72
divide both sides of the equation by 12
x=6
final solution: x=6
A student wrote and simplified an expression to find the perimeter of this 5 points
rectangular garden. The student made an error. Which step did the
student make the mistake? *
2x
5x + 1
Step 1: 5x + 1 + 5x + 1 + 2x + 2x
Step 2: 14x + 1 + 1
Step 3: 14x + 2
Step 4: 16x
Answers
Answer:
Step 4.
You can’t add 14x and 2
A utility company charges $0.12 per kilowatt-hour for energy a customer uses.They give a credit of $0.0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves.A customer has a charge of $82.04 and a credit of -$4.10 on this mouth bill. How many kilowatt-hours did they use (Nearest-whole number?
Answers
Answer:
2,324.
Step-by-step explanation:
Given that a utility company charges $ 0.12 per kilowatt-hour for energy a customer uses, and they give a credit of $ 0.0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves, if a customer has a charge of $ 82.04 and a credit of - $ 4.10 on this mouth bill, to determine how many kilowatt-hours did they use the following calculation must be performed:
(82.04 / 0.12) + (-4.10 / - 0.0025) = X
683,666 + 1,640 = X
2,323.66 = X
Thus, rounded to the nearest whole number, users used 2,324 kilowatts per hour.
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m ¿cual es el area que se va a pintar?
Answers
Answer:
16.8 metros cuadrados.
Step-by-step explanation:
Dado que se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m, y que el área de un hexágono es igual al perímetro multiplicado por la apotema, y dicho resultado dividido por 2, para determinar cuál es el área que se va a pintar se debe realizar el siguiente calculo:
((6x3) x 2.8) / 2 = X
(12 x 2.8) / 2 = X
33.6 / 2 = X
16.8 = X
Así, el área que se va a pintar es de 16.8 m2.
b. Solve for x in the
triangle:
74°
6x + 17
35
Answers
Step-by-step explanation:
74° + 35° + ( 6x + 17° ) = 180°6x + 17° = 180° - 74°- 35°6x + 17° = 180° - 109°6x + 17° = 71°6x = 71° - 17°6x = 54x = 54÷6x = 9MARK ME AS BRAINLIST PLZ FOLLOW METriangles
Given :-A diagram with angles 74°, 35° and ( 6x + 17 )°.
To Find :-Value of x.
Concept Used :-Sum of all angles in a triangle is 180°.
Solution :-Sum of all angles in a triangle = 180°
74° + 35° + 6x + 17° = 180°
6x + 74° + 35° + 17° = 180°
6x + 126° = 180°
6x = 180° - 126°
6x = 54°
x = 9
Answer :-So, value of x is 9.
1525 hours denotes 3:25 pm
Answers
it will be
10 hours
and 52 mintues
Answer:
15:25 is the same as 3:25 pm.
Step-by-step explanation:
In military time, they use 24 hour clock, instead of a 12 hour one. So instead of changing to 1 after 12, continue counting regularly, so the 15th hour would be the same as the 3rd hour in the pm.
Write the sentence as an equation.
163 reduced by p is 291
Answers
Answer:
163 - p = 291
Step-by-step explanation:
Answer:
Here are some examples.
f(x) = [tex]x^{4}[/tex] - 6
f(x) = 3[tex]x^{2}[/tex] - x + 3
f(x) = 3[tex]\sqrt[]{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
Hope I could help. Brainliest??
Find the cosine of <G
Answers
Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
What is the slant height for the given pyramid to the nearest whole unit height
Answers
Answer:
Step-by-step explanation:
The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.
base of right triangle = 6 cm
height of right triangle = 8 cm
hypotenuse = √(6²+8²) = √100 = 10 cm
Celine is undecided as to whether to take a French course or a chemistry course. She estimates that her probability of receiving an A grade would be 1/2 in a French course and 2/3 in a chemistry course. If Celine decides to base her decision on the ip of a fair coin, what is the probability that she gets an A in chemistry
Answers
Step-by-step explanation:
1/2=0.52/3=0.6670.5×0.667=0.3331 in 3 chance of getting an A in Chemistry
a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?
Answers
Answer:
Anosh has 35 feathers.
Step-by-step explanation:
Initially, he had 0 feathers.
His father started his collection by giving him 7 feathers.
After his father gave him, he has 7 feathers.
Since then he has collected 28 more feathers. How many feathers does Anosh have?
So now, he has 7 + 28 = 35 feathers.
Anosh has 35 feathers.
Solve for x in the problems below
Answers
Answer:
a)......1+2=90 degree.....
so,x+x-20=90=2x=110
x=55degree
Step-by-step explanation:
b)let it be a triangle....angle1=56
2=y
3=29....by vertically opposite angles
by ext angle property... x= 1+3=56+29= 85
Answer:
55 degrees is the answer
Find the value of x.
30°
15x
A. 4
B. 10
C. 12
D. 2
Answers
Answer:
10 is the answer
Step-by-step explanation:
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(a) What is the perimeter of her arrangement?
Answers
Answer:
Step-by-step explanation:
The slabs are arranged in a 3×3 matrix. Each side is 3 m long. The perimeter is 4×3 = 12 meters.
BRAINLIEST AND STARS
4)
Suppose a circle has a diameter of 20 inches. What is its radius?
A)
400 in
B)
40 in
C)
20 in
D)
10 in
Answers
Answer:
D
Step-by-step explanation:
You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?
Answers
Answer:
$380.00
Step-by-step explanation:
Regular time: $8.00 x 40 = $320.00
Overtime: (8 x 1.5) $12.00 x 5 = $60.00
Total: $380.00
if (1/10)x = 11/12, what's the value of x
Answers
Answer:
(1/10)x = 11/12
x=11/12×10/1=110/12=55/6or9 1/6
Answer:
55/6
Step-by-step explanation:
(1/10)x = 11/12
x = 11/12 ÷ 1/10
x = 11/12 × 10
x = 110/12
x = 55/6
Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Do you expect the mean or the median of these toenail arsenic levels to be larger?
Answers
Answer:
The mean, because the outlier values are above the mean.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all values of the data-set divided by the number of values.
Median:
The median of a data-set is the value that separates the lower 50% from the upper 50% of the sorted set.
0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Finding the median, since it is easier.
8 values, the median is the mean between the 4th and the 5th values. (3.4+3.9)/2 = 3.65
The values below the median are quite close to it, while those above it are considerably more distant, considered outliers, which means that we should expect the mean to be larger than the median.
Write the product (x-7)^2 in standard form
Answers
Answer:
x^2-14x+49
formula:
a^2-2ab+b^2
if
(a-b)^2
substitute values and
Wham bam yes ma'm
Help with this one too!!! It will mean a lot
Answers
Answer:
Step-by-step explanation:
problem 13:
12g+24, 3(4g+8)
problem 14
9a+6, 3(a+2)+6a
6(a+1)+3a
Neeed help please...
Answers
Answer: A
Step-by-step explanation:
4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is
1.1. What is the earned value of the project at Week 8?
Answers
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
how to factorise 5h^2-12hg
Answers
Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
Ok so look at the image i need help thanks hUrry please :D I GIVE BRAINLIEST IS CORRECTO
Answers
Answer:
The answer is 11.99 in gallons
47.96 in pints
Step-by-step explanation:
Hope this helps
Help me! what is 2⋅x=6 ??? Brainliest! plus 70 points!
Answers
Answer:
x=3
Step-by-step explanation:
2 times a number equals 6
you can divide 6 by 2 to get 3
and then to prove it, make x=3 and rewrite
2 * 3 = 6
Answer:
x=3
Step-by-step explanation:
2⋅x=6
First, we multiply the 2 and the x
2x=6
Next, we transfer the 2 over to the 6. When we do that, we are dividing because we do the opposite of multiplication.
x=6÷2
Solve!
x=3
Hope this helps!! Please give Brainliest!!
simplificati raportul algebric
Answers
Answer:
F euuehejuehehheeeuzkvr
Answer:
what is the number
Step-by-step explanation:
i dontvno the answer beacause it is blurred