In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of ∠K, to the nearest 10th of a degree.
Given:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
To find:
The value of ∠K to the nearest 10th of a degree.
Solution:
According to the Law of Sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
Using the Law of Sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]
[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]
[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]
[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]
[tex]\sin K=0.961349[/tex]
[tex]K=\sin^{-1}(0.961349)[/tex]
[tex]K=74.0182[/tex]
[tex]K\approx 74.0[/tex]
Therefore, the measure of angle K is 74.0 degrees.
Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x
Answer:
hi
Step-by-step explanation:
Jonathan drives 845 miles in 5 hours. What is his average rate of speed in miles per hour?
Answer:
ok so it is 169
Step-by-step explanation:
ok i hope this is correct i used a calculator so sorry if its wrong all i did was divide some stuff
if its correct can u give me the crown
if u dont want to thats alright
i divided 845 and 5 and got 169
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
I need help with this
Box A weighs 1.4 pounds, box B weighs 3.2 pound, and box C weighs 2.5 pounds. What is the combined weight of box A and Box C?
Answer:
3.9 pounds
Step-by-step explanation:
Box A=1.4 lbs
Box B=2.5 lbs
Answer= Box A + Box B = 1.4+2.5 lbs
1.4+2.5= 3.9 lbs
Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the combined amount is 12C + 35 + 120 where Cis the number of hours he worked, and L is the number of hours Lily worked. Lily says the combined amount is 12(C+ L) + 35. Who is right? Explain.
Answer:
Lily is rightStep-by-step explanation:
Carlos made:
12C + 35Lily made:
12LTogether they made:
12C + 35 + 12L = 12(C + L) + 35Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.
Tom has a 4-sided spinner and the table below shows the probabilities
that when the spinner is spun it will land on 1, 3 and on 4
Number
1
2
3
4
Probability
0.1
0.2
0.4
The spinner is spun once.
a) What is the probability that the spinner will land on 2?
Il
(1)
b) Which number is the spinner least likely to land on?
(1)
c) If Tom spins the spinner 80 times, work out an
estimate for the number of times the spinner will land on 3
(2)
Answer:
0.3
Step-by-step explanation:
it's the only one not there
what is the answer to the question -6=n+5n
Answer:
-1=n I believe would be the answer.
help please i need you
Answer:-10hy-4h
Step-by-step explanation:
h*-10y and h*-4
Jeremy received a Bill with a balance due of 25.60
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Work out the value of 54
18 − 6
5418-6= 5412
Hope this helps
If the probability that Caleb makes a free-throw is 60% what is the probability that Kayla makes two free throws in a row?
An older person is 8 yes older than seven times the age of a younger person. The sum of their ages is 32. What are their ages?
A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS a classical CD?
Answer:
The probability is 6/42. If you need it simplified it's 1/7.
Step-by-step explanation:
If it's wrong please let me know :)
A tree measured 12 1/2
feet tall. Over the next 5 1/2
years it grew to be 51 feet tall.
During the 5 1/2
years, what was the average yearly growth rate of the tree?
Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)
Step-by-step explanation:
It's 12.5 feet the first year
51 feet 5 years later
If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft
12.5x4.08 is 51 feet.
So the tree grows approximately 1 and 5/8 feet a year
what is 8333333333/100000000000 simplified? It might be hard but I need help and it's for tonight. Thanks!
The value of a car decreases by 5% each year. Sophie bought a car two years ago for £10000. Work out the value now.
Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]
[tex]y=10000\left(1-0.05\right)^2[/tex]
[tex]y=10000\left(0.95\right)^2[/tex]
On further simplification, we get
[tex]y=10000(0.95)(0.95)[/tex]
[tex]y=9025[/tex]
Therefore, the present value of the car is £9025.
Find the slope of the line that passes through (0, -5) and (3, -4)
Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
Which fraction does point A show?
A.3/7
B.3/4
C.8/5
D.7/4
Answer:
d 7/4
Step-by-step explanation:
Please help me please
Answer:
B
Step-by-step explanation:
Here are the first five terms of a number sequence
19
23
27
31
35
Find the 10th term in the sequence
help me please I need
Answer:
I think the answer is A=49
How many radians is 252°?
Give the exact answer in simplest form
Radian is a more advanced degrees measurement that is easier to use in trigonometry physics etc.
A full circle 360 degrees is 2pi radian.
We just need to find the ratio of 252 degrees to 360 degrees and multiply that by 2pi.
252/360*2pi(rad)
=126/180*2pi(rad)
=63/90*2pi(rad)
=21/30*2pi(rad)
=7/10*2pi(rad)
=7/5*pi (Radian)
Hope it helps and sorry for my bad grammar.
A cylinder cooler has a diameter of 30inches and a height of 24 inches.Runners on a Marathon can use cone shaped cups to get a drink from the cooler.if the cups have a diameter Of 3 inches and a height of 4 inches,about how many full cups would be able to be filled from the cooler?Estimate useing 3.14 for pi.
Answer:
600 cups
Step-by-step explanation:
Given that f(x) = x/2 +5,
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(5)
Answer:
f(2)=6
f^-1(x)=2x-10
f^-1(5)=0
hope it helps
Cristal had $157 in her checking account. She then made a deposit of $160. Find her new account balance.
Answer:
$317
deposit: add
157+160= 317
if we vibe for 3 hrs and become freinds how long will we be freinds?
Answer:
it depends
Step-by-step explanation:
I could be very committed,
im 15 in july my name is mercedes. and im bi, I skate and taken
what is the
mode
median
mean
and range
to the numbers 24,34,32,16,45,38,28
Answer:
The mean is 31
The mode is In this case there is no mode
The median is 32
The range is 29
PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!
14 + 18 ÷ 2 x 18 – 7
15 x 10 + 12 ÷ 3 + 9
8 x 4 + 9 – 9 + 18
2 - 1 + 5 x 4 x 11
60 – 9 x 8 ÷ 8 x 6
(10 ÷ 5)3 + 100 – 9 x 11
3 x 8 x 2 – 42 + 5
14 ÷ 2 -1 + 3
Answer:
1.) 169
2.) 63
3.) 50
4.) 221
5.) 6
6.) 501
7.)11
8.) 9
Step-by-step explanation:
sorry i dont have time for the explanation. :( i hope i helped you still