Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.
Answers
The value of x° and y° are 26.8° and 86.2°.
What is rounding to tenth?
Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5.
The length of sides of the triangle are 8, 6, and 5.
Assume that AB = c = 6, BC = a = 5, and AC = b = 8
m∠A = x° and m∠B = y°.
Cosine law:
c² = a² + b² - 2ab cos C ....(i)
b² = a² + c² - 2ac cos B ....(ii)
a² = b² + c² - 2bc cos A ....(iii)
Putting a = 5, b = 8, c = 6, and A = x° in law (iii)
5² = 8² + 6² - 2×8×6 cos x
25 = 64 + 36 - 84 cos x
84 cos x = 75
cos x = 75/84
x = 26.76°
x = 26.8° (nearest tenth)
Putting a = 5, b = 8, c = 6, and B = y° in law (ii)
8² = 5² + 6² - 2×5×6 cos y
64 = 25 + 36 - 60 cos y
60 cos y = 4
cos y = 4/60
y =86.177°
y =86.2°
To learn more about cosine law, click on below link,
https://brainly.com/question/27971484
#SPJ1
Related Questions
Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved
Answers
Answer:
$620 every year
Step-by-step explanation:
Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.
I will mark brainliest
Answers
Answer:
I think that it is positive 650.
Answer:
you got it
Step-by-step explanation:
that is itdescribe your answer to gt i wrie u are doing a test
Somebody please help me plsssss
Answers
Given:
The radius of the cylinder = 2 cm
Height of the cylinder = 5 cm
To find:
The volume of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2,h=5[/tex] in the above formula, we get
[tex]V=\pi (2)^2(5)[/tex]
[tex]V=\pi (4)(5)[/tex]
[tex]V=20\pi [/tex]
Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.
The senior classes at Portland High School and Biddeford High School planned separate
trips to New York City. The senior class at Portland High School rented and filled 1 van
and 6 buses with 372 students. Biddeford High School rented and filled 4 vans and 12
buses with 780 students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry?
Answers
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answers
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
What is 1/3÷9? hurry!
Answers
Exact Form:
1/27
Decimal Form:
0.037 (with a line over 037)
HELP!! 4 questions !!! easy points!! 25 points!! please answer quick!
Answers
Step-by-step explanation:
(i) From the graph value of x varies -3 to 3 i.e.
[tex]-3\leq x\leq 3[/tex]
and domain in the input values which function can take
So, option (d) is correct.
(ii) option (d) is correct as it represent the function [tex]y=x[/tex]. While all the other function does not satisfy the given conditions.
(iii) [tex](-14,-15), (-9,-10)[/tex] are the parts of solution pair.
(iv) Option (c) and (d) represents the function as each element of the first set has a unique image in the second set.
Is u = 105 a solution to this equation
Answers
Answer:
im sorry what?
Step-by-step explanation:
What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2
Answers
Answer:
The answer is b I searched it on goggle and did the math.
Step-by-step explanation:
[tex]\sqrt[3]{11}[/tex]
Answers
Answer:
2.22
Step-by-step explanation:
[tex]\sqrt[3]{11} =2.223980091[/tex]
Rounded to hundredths: 2.22
If you roll a d6, what is the chance of rolling a 4?
Answers
Answer:
1/6
Step-by-step explanation:
They are asking for 1 section out of 6 so it is 1/6.
Can I please have Brainliest?
i need help btw i am in middle school
Answers
Answer: J
Step-by-step explanation: It is very cool you are in middle schopol
A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?
Answers
Answer:
813.681818182
(That's the exact number, but you can circle it to 813.7 )
Step-by-step explanation:
459%22=20.8636363636
20.8636363636 x 39= 813.681818182
Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.
Answers
Answer:
[tex]\dfrac{3}{4}\ miles[/tex]
Step-by-step explanation:
Total distance to a temple = 2 miles
She has walked 1 1/4 miles or 5/4 miles
More miles to reach the hidden temple = total distance - walked distance
[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]
So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.
A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.
Answers
Answer:
Expression: [tex]120(1.3)^{16}[/tex]
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
[tex]120(1.3)^{16}[/tex]
7984.99
16/g,when g=4
Please answer
Answers
Answer:
4
Step-by-step explanation:
What best describes how many real number solutions the equation has?
Answers
Answer:
zero, because the discriminant is negative
Step-by-step explanation:
By writing the quadratic formula, we have the discriminant written in the root as;
b^2-4ac
Now, given the expression, we can see that the discriminant here is -19
What this mean is that we have a negative discriminant
Hence, we can conclude that the roots are complex and as such, none of the roots are real
Without doing any calculations, compare Expression A to Expression B.
A (34 + 25) ÷ 14
B 34 + 25
Answers
Answer:
A < B
Step-by-step explanation:
well lets see, they are both adding 34 and 25
But in a, they are dividing, and because dividing usually makes the number smaller, B is larger
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Expression A is less than expression B
Step-by-step explanation: Connexus
Giving brainlist to whoever answers
Answers
Answer:
10 I believe I really hope it helped!
Step-by-step explanation:
Answer:
That's easy! 10 times
Step-by-step explanation:
60 divided by 6 is 10
Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.
Answers
Answer:
Yes, quadrilateral MATH is a rectangle.
Step-by-step explanation:
If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.
M (-4,-1)
A (-3,2)
T (3,0)
H (2,-3)
I need help FAST pleaseeeee
Answers
Answer:
20 i think
Step-by-step explanation:
0.25% of 42 is what number
Answers
Answer:
0.105
Step-by-step explanation:
0.25/100 x 42 = 0.105
Answer: The answer is 0.105
(Write the equation) Thank you if you answer it <3
Answers
Answer:
10 - 2 = (x + 6)Explanation:
The Sum Of x And 6 Is Two Less Than Ten.The Sum Of x And 6: x + 6
Two Less Than Ten: 10 - 2
Put The Two Terms Together10 - 2 = (x + 6)A house that costs $125,400 appreciates at a rate of 3% each year. What is the value of the
home after 3 years.
a.$137027.97
b.$275503.80
c.$114449.19
d.$3385800
Answers
Answer:
The value after three years is $137,027.97
Step-by-step explanation:
Here, we want to get the value of the home after 3 years
Generally, we have the exponential formula as follows;
y = P(1 + r)^t
where P is the original cost which is $124,400
r is the rate of increase which is 3% = 3/100 = 0.03
t is the time which is 3 years
Substituting these values;
y = 125400(1 + 0.03)^3 = $137,027.97
Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a
200-ft radius? Use 3.14 for it.
Williams, Aaily
flowers are needed to surround the circular garden.
Answers
Answer:
1,256 flower
Step-by-step explanation:
First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:
C
=
2
π
r
If we substitute
100
ft
for
r
and use
3.14
to approximate
π
we get a circumference of:
C
=
2
⋅
3.14
⋅
100
ft
C
=
6.28
⋅
100
ft
C
=
628
ft
We can now convert the circumference in feet to inches;
628
ft
×
12
in
1
ft
⇒
628
ft
×
12
in
1
ft
⇒
628
×
12
in
⇒
7536
in
To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:
7536
in
×
1
flower
6
in
⇒
7536
in
×
1
flower
6
in
⇒
7536
×
1
flower
6
⇒
7536
flower
6
⇒
1256
flower
You would require 1,256 flowers
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answers
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
Simplify the following equation
Answers
Answer:
3x - 2
Step-by-step explanation:
Answer:
3x−2
Heart if this helped!
15 is 9 than j what is j in this question
Answers
Answer:
6
Step-by-step explanation:
15 is 9 more hence you subtract 9 from15
Hope this helps
Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?
Answers
H
The ratio of cyclists to pedestrians on a certain trail was 2 to 7. If there were 27 people on the trail, how many more pedestrians were there than cyclists?
Answers
Answer:
15 more pedestrians than cyclists
Step-by-step explanation:
2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.
27/9=3
So we have 3 groups of 9...
3×2=6
&
3×7=21
so
6 cyclists and 21 pedestrians
subtract cyclists from pedestrians to find difference...
21-6=15