Answers
Answer/Step-by-step explanation:
✔️Find <K using law of sines:
Thus,
[tex] \frac{sin(K)}{k} = \frac{sin(H)}{h} [/tex]
K = ??
k = 37 mm
H = 34°
h = 29 mm
Plug in the values
[tex] \frac{sin(K)}{37} = \frac{sin(34)}{29} [/tex]
Multiply both sides by 37
[tex] \frac{sin(K)}{37}*37 = \frac{sin(34)}{29}*37 [/tex]
[tex] sin(K) = \frac{sin(34)*37}{29} [/tex]
[tex] sin(K) = 0.713453014 [/tex]
[tex] K = sin^{-1}(0.713453014) [/tex]
[tex] K = 45.5 degrees [/tex] (nearest tenth)
✔️Find J:
m<J = 180° - (45.5° + 34°) (sum of ∆)
m<J = 100.5°
✔️Find j using Sine rule:
[tex] \frac{j}{sin(J)} = \frac{h}{sin(H)} [/tex]
J = 100.5°
j = ??
H = 34°
h = 29 mm
Plug in the values
[tex] \frac{j}{sin(100.5)} = \frac{29}{sin(34)} [/tex]
Multiply both sides by sin(100.5)
[tex] \frac{j}{sin(100.5)}*sin(100.5) = \frac{29}{sin(34)}*sin(100.5) [/tex]
[tex] j = \frac{29*sin(100.5)}{sin(34)} [/tex]
j = 51.0 mm (nearest tenth)
Related Questions
What is the distance between A and B?
Answers
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between A(-3, -4) and B(4, 5)?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-3, -4)[/tex][tex]\sf (x_2, y_2) = (4, 5)[/tex]Substitute the given values into the distance formula and solve for AB:
[tex]\sf AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf AB = \sqrt{[4 - (-3)]^2 + [5 - (-4)]^2}[/tex][tex]\sf AB = \sqrt{(7)^2 + (9)^2}[/tex][tex]\sf AB = \sqrt{49 + 81}[/tex][tex]\bold{AB = \sqrt{130} \approx 11.4 \: units}[/tex]Therefore, the distance between two points is [tex]\sqrt{130}[/tex] or 11.4 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437
Reggie can collect 30 resources and 10 seconds how many resources can he collect in 1 minute
Answers
Answer:
180
Step-by-step explanation:
30 in 10 secs x6
180 in 60 secs.
Answer:
180
Step-by-step explanation:30 times 60 = 180
A flower arrangement has seven carnations and 21 daffodils. What is the simplified ratio of carnations to daffodils in the arrangement?
Answers
Answer:
1 : 3
Step-by-step explanation:
Given :
Number of Carnation = 7
Number of Daffodils = 21
The number of carnation to daffodilswxoreaaed as a simplified ratio ;
Number of carnations : Number of Daffodils
7 : 21
7 / 21
1 / 3
Wich exprecion shows 7+21 written as a product of two factors
Answers
Answer:
7(1+3)
Step-by-step explanation:
4/1=8/2,so 8 cups = quarts
Answers
Answer:
8 cups eqaul 2 quarts
Step-by-step explanation:
Find an equivalent expression for: 20+5(2x+5)
Answers
the odds in favor of frank winning a hot dog eating contest are 4:9. the probability that frank win and the probability that frank lose?
Answers
Answer: Frank has a 4 out 15 chance of winning and 9 out 15 chance of losing
Step-by-step explanation:
What Constant of proportionality of y=2x+3
Answers
Answer:
2x
Step-by-step explanation:
30
45
60
Which is it?
Help please
Answers
Answer:
D = 90°
Step-by-step explanation:
the square on the angle means its a right angle and right angle is always 90°
A jacket at a clothing store is being discounted by 10%. If the jacket was originally priced at x dollars, which of the following expressions does NOT represent the final price of the jacket before sales tax is added?
A.
x – 1.10x
B.
0.90x
C.
x – 0.10x
D.
x(1 – 0.10)
Answers
Answer:
Step-by-step explanation:
d
A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June’s sales. If y represents July’s sales, which equation can be used to determine the sales in July?
Answers
Answer:
y=n-0.26n
Step-by-step explanation:
July (y) = June (n) - 0.26(June)
How do I get my parents to let me quit extra math (RSM) even after I've tried for a while
please help me.
Answers
Maybe offer to make a deal with them where if you get all A's in your normal classes you can quit. It really depends on why you're taking the class in the first place. If it's not affecting your grades in any way, maybe it's best to just stay for the benefits of it.
which ratio does not belong with 2/6
a) 1/3 b) 3/9 c)6/15 d) 12/36
Answers
Answer:
C)6/15
Step-by-step explanation:
it reduces to 2/5 no 1/3
12/36 --> 1/3
Each unit in the graph above is one mile. How far would you have to drive from the art gallery to the dry cleaners and then continue on to the theater?
A) 12 miles
B) 11 miles
C) 10 miles
D) 5 miles
Answers
Answer:
Option C i.e. 10 miles is true.
Step-by-step explanation:
From the graph, it is clear that:
The art gallery is located at x = 7 and y = 2
The dry cleaners is located at x = 7 and y = 7
The theater is located at x = 2 and y = 7
Given that each unit is 1 mile.
Distance from the art gallery to dry cleaners is on the vertical path.
so
Distance from art gallery to dry cleaners = 7 - 2 = 5 miles
As Theater and dry cleaners are on the horizontal path.
Thus, in order to move to the theater from dry cleaners, all we need is to count the unit on the x-axis from x = 7 to x = 2.
i.e. 7 - 2 = 5 miles
Thus, the total distance: 5 + 5 = 10 miles
Therefore, option C i.e. 10 miles is true.
What is equivalent distance of 35,000 centimeters in kilometers?
1 km = 1000 m
1 m = 100 cm
Enter your answer in the box.
Answers
Answer:
0.35km
Step-by-step explanation:
What is equivalent distance of 35,000 centimeters in kilometers?
Given the following
1 km = 1000 m
1 m = 100 cm
If
1 m = 100 cm
x = 35000cm
100x = 35000
x = 35000/100
x = 350m
Convert 350m to km
1 km = 1000 m
x = 350m
1000x = 350
x = 350/1000
x = 0.35km
Hence 35000cm to km is 0.35km
Answer:
0.35
Step-by-step explanation:
i took the test on k12
hummingbirds fly 25 miles per hour convert this speed to feet per second
Answers
Answer:
36.667
Step-by-step explanation:
thirty six point six hundred sixty seven
Find the missing value of: What is 13% of 100?
Answers
Answer:
0.13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
You roll a number cube twice. Find the probability of the events. Rolling an odd number 2 or a 4.
Answers
Answer:
5/12
Step-by-step explanation:
If you roll it twice there are 12 options. The odd numbers are 1, 3, and 5. Add 2 and 4, and that's a 5/12 chance.
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been folling at a constant rate of 3°C per hour. Find each temperature. Explain or show your reasoning.
Answers
Answer:
Step-by-step explanation:
This question is incomplete; here is the complete question.
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. Find each temperature. Explain or show your reasoning.
If it continues to fall at this rate, what will the temperature be:
In 2 hours ............. In 5 hours .............. In half an hour......................
If the current temperature of the mountain is b°C and it is falling at a constant rate of 3°C per hour.
Then after 'x' hours, temperature on the top of the mountain will be represented by the function,
T(x) = 0 - 3x
Therefore, temperature after 2 hours = -3(2) = -6°C
Temperature after 5 hours = -3(5) = -15°C
Temperature after half an hour = [tex]-3(\frac{1}{2})[/tex]
= -1.5°C
Solve this equation:
5x^4+ 50x^2 +80=0
Answers
Answer:
x =√-1.403 = 0.0 - 1.18454 i
x =√-1.403 = 0.0 + 1.18454 i
x =√11.403 = -3.37685
x =√11.403 = 3.37685
Step-by-step explanation: i think either one of these could work
hope i could help :)
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed
+75 + 10 + 3x + 2
2 + 15 + + 7 + 8 + 5
(3 + b) (+ 2)
(+ + 2) (+ + 5)
(6 + 2)(+ + 5) (+ 1)(5 + 2)
(5 + 2)(8 + 2) (5 + 5)( + 1)
(3 + 5)(+2)
(3 + 25 + 5)
I + 2
( + 7)(5 + 1)
(5 + 4)( + 2)
(+ + b)( + 2)
(5 + 5)
($ + 7)(8 + 1) ( + 3)( + 1)
(1 + 4)(8 + 1)(8 + 3+ 2)
Answers
Answer:
1
Step-by-step explanation:
The algebraic expression is
(x²+ 7x+10/ x²+ 4x+4 ) (x²+ 3x+2/x²+ 6x+5)
The options are Arrangement
a.(x+5/x+2) * ( x+2/x+5) Number 2
b.(x+7/x+4) ( x+1/x+2)
c. 1 Number 4
d. (x+5) ( x+2) /(x+5)
e. (x+7) (x+1)/(x+4) ( x+1) * (x+3) (x+1)/(x+3) (x+2)
f. (x+2) (x+5)/(x+2) ( x+2) * (x+1) (x+2)/(x+5) ( x+1) Number 1
g. x+2
h.(x+5/x+2) ( x+2/x+5) Number 3
Answer
Factorizing the expressions (x²+ 7x+10/ x²+ 4x+4 ) (x²+ 3x+2/x²+ 6x+5)
=(x²+ 5x+2x+ 10/ x²+ 2x+2x+4 ) (x²+ 2x+x+ 2/x²+ 5x+x+5)
Taking common
=[x(x+5) +2(x+5)/ x(x+2) +2(x+2) ] [ x(x+2) +1(x+2)/ x((x+5) +1(x+5)]
Putting commons together
=[(x+2) (x+5)/ (x+2) (x+2)] [ (x+2)(x+1)/ (x+1) (x+5)]
Cancelling
= [ (x+5)/ (x+2)]* [ (x+2)/ (x+5)]
=[ (x+5)/ (x+2)] [ (x+2)/ (x+5)]
Again Cancelling
=1
The above question is solved in 4 steps :
Step 1
(x+2) (x+5)/(x+2) ( x+2) * (x+1) (x+2)/(x+5) ( x+1)
Step 2
(x+5/x+2) * ( x+2/x+5)
Step 3
(x+5/x+2) ( x+2/x+5)
Step 4
1 which is the answer .
The steps
(x+7) (x+1)/(x+4) ( x+1) * (x+3) (x+1)/(x+3) (x+2) ,
(x+5) ( x+2) /(x+5),
(x+7/x+4) ( x+1/x+2) and (x+2) are not related to this question.
SOLVE FOR Y, WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
1. As you can see in the picture, x is 116 degrees, because that angle and the angle labeled 116 degrees are corresponding, meaning that their angles are the same.
2. As you can also see in the picture, y+11+x = 180 deg, because they are two angles that make a straight angle. We know that x is 116 deg, so we can solve y with an equation:
y + 11 + 116 = 180
y + 127 = 180
y = 180 - 127
y = 53 degrees.
Hope this helped! Don't forget to mark it Brainliest!
7-w= 173
Solve for w
Answers
Answer:
w=82
Step-by-step explanation:
7=w5
Answer:
The value of w is -166.
Step-by-step explanation:
☆Let's solve the equation
[tex] \: \: \: \: 7 - w = 173 \\ \frac{ - 7 \: \: \: \: = - 7}{-1w = 166} [/tex]
solve for k 6=2-k for math :) i needa hurry and get it done
Answers
Answer:
-4 is the correct ans
hope it helps
Step-by-step explanation:
[tex] \tt{6 = 2 - k}[/tex]
~Swap the sides of the equation
⟶ [tex] \tt{2 - k = 6}[/tex]
~Transpose 2 to right hand side and change it's sign
⟶ [tex] \sf{ - k = 6 - 2}[/tex]
~Subtract 2 from 6
⟶ [tex] \tt{ - k = 4} [/tex]
~Divide both sides of the equation by -1
⟶ [tex] \tt{ \frac{ - k}{ - 1} = \frac{4}{ - 1}} [/tex]
⟶ [tex] \tt{k = - 4}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{k = - 4}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Solve this math problem 1/6 x 58
Answers
Answer:
29/3
Step-by-step explanation:
Multiply and simplify
58/6=29/3
Answer:
29x/3
Step-by-step explanation:
i used math website trust me its right
What are the correct justifications , listed in proper order?
Answers
Answer:
4 5 6 7
Step-by-step explanation:
Answer:
A; Distributive Property, Pythagorean Identity, Double Angle Identity
Step-by-step explanation:
just took the test
Nikki wants to buy a dog bed that costs $87. She earns $6 per week for doing chores. How many weeks will Nikki have to do her chores in order to earn enough money to pay for the dog bed?
Answers
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answers
Answer:
Interest Charge = $606.06
Step-by-step explanation:
Cost for 24 days = 600 + 24*0.0004205*600
Cost(24) = (1+24*0.0004205)600
Cost(24) = 1.010092*600 = $606.06
I hope this helps u! :D
At the Old Fort Boise Days Car Show there were 15 Pontiacs, 18 Chevrolets, 12 Fords ,and 5 Ramblers. What is the ratio of the Fords and Pontiacs to the Chevrolets and Ramblers?
a.
50/27
c.
27/50
b.
23/27
d.
27/23
Answers
Answer:
27/23
Step-by-step explanation:
If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 8 cm. cm/min
Answers
Answer:
7/16π
Step-by-step explanation:
The surface area of the snow ball = 4πr^2
Let the surface area= y
Then y= 4πr^2
The derivative can be taken with respect to time as
dy/dt= (8πr)dr/dt...........eqn(1)
We were told that its surface area decreases at a rate of 7 cm2/min.
Then dy/dt=-7
diameter = 8 cm. cm/min, the radius r= 4cm/min
r= 4
Substitute the values of r into eqn(1)
dy/dt=(8π×4)dr/dt
-7=(32π) dr/dr
dr/dt= -7/32π................eqn(**)
But we know that diameter d= 2× radius
d=2r............eqn(*)
We can find the derivatives with respect to t as
dd/dt=2dr/dt
Then substitute en(**) we have
dd/dt=2(7/32π)
dd/dt= -14/32π
Divide both numerator and denominator by 2
dd/dt= -7/16π
Hence, the diameter decreases by the rate of 7/16π
