Answers
The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.
We have this given info:
A = 25a = 13.2b = 25.5Let's use the law of sines to find angle B
sin(B)/b = sin(A)/a
sin(B)/25.5 = sin(25)/13.2
sin(B) = 25.5*sin(25)/13.2
sin(B) = 0.81642164
B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)
B = 54.72817392 or B = 180 - 54.72817392
B = 54.72817392 or B = 125.27182608
When rounded to the nearest whole degree, we get B = 55 or B = 125.
However, I'll use the slightly more accurate values of B for the next two sections.
---------------------------------------
Let's consider the case that B = 54.72817392
This would have to mean
A+B+C = 180
C = 180-A-B
C = 180-25-54.72817392
C = 100.27182608 which rounds to C = 100
Through the law of sines we can say
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(100.2718 2608)*13.2/sin(25)
c = 30.73327084 which rounds to c = 30.7
One solution is
A = 25, B = 55, C = 100
a = 13.2, b = 25.5, c = 30.7
As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.
---------------------------------------
Now we'll consider the case that B = 125.27182608
We follow the same steps as the previous section
A+B+C = 180
C = 180-A-B
C = 180-25-125.27182608
C = 29.72817392 which rounds to C = 30
and
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(29.72817392)*13.2/sin(25)
c = 15.48842618 which rounds to c = 15.5
The other solution is
A = 25, B = 125, C = 30
a = 13.2, b = 25.5, c = 15.5
Check out the diagrams below.
Related Questions
PLZ HELP
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answers
Answer:
look up demos, it works like a charm everytime!
Step-by-step explanation:
hope this helps :)
What is the earliest known human-like creature who displayed human-like intelligence called?
Neolithic People
Early Stone People
Mesolithic People
Neanderthal People
Answers
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Tell whether a triangle can have sides with lengths 17, 20, and 4.
true or faulse
Answers
Answer:
True
Step-by-step explanation:
A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $80 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
Answer:
130
Step-by-step explanation:
Step 1: write equations:
Company A: y = 0.20x + 110
Company B: y = 0.50x + 80
Step 2: graph your lines
Step 3: Find your intersect point
Step 4: find the points: (100,130)
The number of miles is y, so at 130 miles, both trucks are the same cost
Hope that helps
Sam and Annie find a box of marbles in their dad’s closet. Sam claims that the marbles can be used to model the structure of a solid.
Answers
Marbles are solid in nature, they can be used to form objects of any kind, this makes them suitable for Sam's claim, the marbles can be used to model a typical structure of a solid, even though it is can only be a prototype.
There are two main categories of solids: Crystalline Amorphous.Crystalline solids are well ordered at the atomic level, and amorphous solids are disordered.
Types of crystalline solidsThere are four types of crystalline solids: ionic solids, molecular solids, network covalent solids, and metallic solids
The constituents of a solid can be arranged in two general ways: they can form a regular repeating three-dimensional structure called a crystal lattice
Learn more:
https://brainly.com/question/9065761
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answers
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
Which is the graph of 2x-4y>6?
Answers
Solving for x :-
2x - 4y > 6
=》x - 2y > 3
=》x > 3 + 2y
Solving for y :-
2x - 4y > 6
=》x - 2y > 3
=》y < x - 3/2
■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.
____
Hope it helps ⚜
Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4
Answers
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
A probability is the number of desired outcomes divided by the number of total outcomes.In a dice, there are 6 sides, one of which is a roll is 1, then:
[tex]p = \frac{1}{6}[/tex]
There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
For more on probabilities, you can check https://brainly.com/question/24437717
Write the word sentence as a Equation.
The difference between a number p and 6 is -14
Answers
Step-by-step explanation:
how do we find the difference between 2 numbers ? by subtracting one from the other.
p - 6 = -14
p = -8
Solve for x if log(2x-7) = 0
Answers
Answer:
x=4
Step-by-step explanation:
log(2x-7) = 0
10^[log(2x-7)] = 10^0
2x-7 = 1
2x = 8
x = 4
5^2 + (6.7 - 3.1)
plz help
Answers
We begin by calculating the expression inside the parentheses
[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]Simplify exponents and square roots
[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?
Answers
=====================================================
Work Shown:
(height)/(shadow length) = (height)/(shadow length)
(5 ft)/(6.5 ft) = (x ft)/(26 ft)
5/(6.5) = x/26
5*26 = 6.5*x
130 = 6.5x
6.5x = 130
x = 130/(6.5)
x = 20
The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).
[tex]x(x-2)+3(x-2)=0[/tex]
Answers
Answer:
x = -3 or x = 2
Step-by-step explanation:
Given that,
x ( x - 2 ) + 3 ( x - 2 ) = 0
( x + 3 ) ( x - 2 ) = 0
So,
( x + 3 ) = 0 ( x - 2 ) = 0
x + 3 = 0 x - 2 = 0
x = 0 -3 x = 0 + 2
x = (-3) or x = 2
Hope this helps you.
Let me know if you have any other questions :-)
my Christmas present to you
Answers
Answer:
THX santa
Step-by-step explanation:
(−7c+8d)0.6
khan academy pls help.
Answers
Answer:
[tex]\sf -4.2c+4.8d[/tex]Step-by-step explanation:
[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]
[tex]\sf 0.6\left(-7c+8d\right)[/tex]
Apply distributive property
[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]
[tex]\sf -4.2c+4.8d[/tex]
Have a good day!
9 plus 10 equals?
A. 21
B. 21
C. 19
D. 21
Answers
Answer:
C 19
Step-by-step explanation:
Answer:
[tex]9+10=19[/tex]
Diagram is not drawn to scale. Could someone try and help me find x, I got 20 but it was wrong
Answers
Answer:21
Step-by-step explanation:
if not 20 then 19 , 20.5 or 21
If x + 2y = 15, what is the value of 3x + 6y/5
Answers
Answer:
I think 9 is the best answer
Answer:
9 is the answer.
Step-by-step explanation:
Given:
x + 2y = 15We can tell that '3x + 6y' is basically '15 x 3' because the whole equation has been multiplied by three. Therefore, 3x + 6y must equal 45.
=> 3x + 6y = 45
But we need to divide 45 by 5 to get the solution because the 3x + 6y has also been divided by 5.
=> 45/5
=> 9
Therefore, 9 is the answer.
[tex]GeniusUser[/tex]
Question 10 Multiple Choice Worth 1 points)
(4.04 MC)
Which of the following is a linear function?
A) y=3x^2
B) y=1 /3x
C) y=x^3 +5
D) 2/3x = y-1
Please helppp
Answers
Subtract: -10 - (-21)
Answers
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answers
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?
An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.
Question options:
2 units
6 units
12 units
4 units
Answers
Answer:
DE = 12
Step-by-step explanation:
Consider Δ ABC
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
D and E are the midpoints of 2 sides of the triangle, then
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12
Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = (1/3)x + 8
Answers
Answer:
The answer is simple. Just graph like you would any normal graph
Step-by-step explanation:
I need help with this !!
Answers
Answer:
-27
Step-by-step explanation:
It looks like you're trying to evaluate ...
[tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]
__
The relevant rules are ...
b^(log_b(x) = x
log(a)+log(b) = log(ab)
Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d. 50.6%
Answers
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?
thanks!
Answers
Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.
Step-by-step explanation:
if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour
The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?
Answers
Answer:
Step-by-step explanation:
he distance between two cities is 180 km.
Speed = distance/time
v = s/t from this we can calculate for time
Time = distance /speed
This distance was covered by a car at a rate of 50 km/h
Time taken by the car to cover this distance of 180km
= 180/50 = 3.6 hours
This distance was covered by a bus at 45 km/h
Time taken by the bus to cover this distance of 180km
= 180/45 = 4 hours
This distance was covered by a truck at 40 km/h
Time taken by the truck to cover this distance of 180km
= 180/40 = 4.5 hours
This distance was covered by a bicycle at 25 km/h
Time taken by the truck to cover this distance of 180km
= 180/25 = 7.2 hours
Therefore:
speed and time are directly proportional.
Speed, s is inversely proportional to time, t
xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation
Introducing constant of variation, k
s = k/t
When s = 25, t = 7.2
25 = k/7.2
k = 7.2× 25 = 180
So
s = 180/k
PLS HELP MEE
Are the figures similar? If they are what is the scale factor. If they are not please explain why.
Answers
I need help bro please I love you
Answers
Answer:
The first one ( y<-8 or y>4 )
Step-by-step explanation:
Answer:
y< -8 or y > 4
Step-by-step explanation:
Interval Notation:
(-∞,-8)∪(4,∞)
Which would be the most suitable viewing window to solve the system below?
Answers
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
To learn more about the system of equations;
brainly.com/question/13729904
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