Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c
A = 55°, a = 10. 1, b = 12. 3
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
What is sine rule?
Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:
a/sinA = b/sinB = c/sinC
Where A,B,C are the angles and a,b and c are the opposite sides to the angles.
1)
A = 55°, a = 10. 1, b = 12. 3
10 / sin(55) = 12.3 / sinB
B = 86.01°
A + B + C = 180° (angle in triangle)
55 + C + 86 = 180
C = 39
10 / sin(55) = c / sin(39)
c = 7.68
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
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find ml 2x+5 5x-4 Brainliest HURRY RN
Answer:
11
Step-by-step explanation:
5x + -4 = 2x + 5
-2x +4 -2x +4
3x = 9
x = 3
5(x) - 4 = ML
5(3) - 4 = ML
15 - 4 = ML
11 = ML
A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?
Initial speed (v) = 1.9m/s
Final speed (u) = 3.8m/s
Time (t) = 11 s
Formula Used :-[tex]v = u + a×t [/tex](a = acceleration)
➾ [tex]a = {\frac{u-v}{t}}[/tex]
Solution:-[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)
➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]
➾ [tex]a = {\frac{1.9}{11}}[/tex]
➾ [tex]a = 0.17 m/s (approx.)[/tex]
Therefore, the acceleration rate = 0.17m/s.
What is the area of the following figure?
17.6 mm
Step-by-step explanation:
Area = (17.6)²mm²
=309.76 mm²
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
i need help understand my math so when finding the volume of a cylinder with a 10 inches in diameter and a 10 inches high while using this formula V=3.1.4*r^2*h why is there a five should it not be 10
V=3.1.4*5^2*10
Answer:
Step-by-step explanation:
The volume of a cylinder is the area of the circle times the hight of the cylinder.
Thus...
3.14*5^2*10=785
The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.
So you know that the radius is always half the diameter and half 10 which gives you 5.
Hope this helps!!!
Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:
a * 1 = a
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The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.
Answer:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursStep-by-step explanation:
Given exponential growth equation:
[tex]y=a(1+r)^t[/tex]
where:
y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periodsIf a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:
r = 50% = 0.5If the starting amount of bacteria cells is 30 then:
a = 30Therefore, the equation that can be used to determine the number of cells after x hours is:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursCan someone help me with this wuestion please
Determine if the equation has no solution,one solution, or infinite many solution.
Give an explanation step by step.
-2(11-12)=-4(1-6x)
Answer:
Step-by-step explanation:
-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)
Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then
-1 = 2 -12x, or
-3 = -12x
Simplifying this result, we get 1 = 4x, or x = 1/4
We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4
Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there
Answer:
100 quarters = 2500 cents = $25
500 dimes = 5000 cents = $50
total = $75
Step-by-step explanation:
How is the sentence "9 less than x is –1" written as an equation?
Answer:
Must not have more than ONE "=" sign in an equation like this one.
9 is less than x is -1
I will take the liberty of deleting the first "is" and then write out the expression:
9 less than x is -1, or x-9 = -1
Add 9 to both sides to determine the value of x: x = 8 (answer)
Step-by-step explanation:
Answer: x-9=-1
(they deleted my answer 4 some reason : /)
Step-by-step explanation:
A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.
Answer: 25%
Step-by-step explanation: the probability of drawing blue=5/20
divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)
what is the range of the exponential function y=2^x plus 2?
A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)
A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
Length: 200
Width: 5
Step-by-step explanation:
The perimeter of 120 and 85 is 410
The perimeter of 200 and 5 is 410
The area of 200 and 5 is 200 times 5 which is 1000
The area of 120 and 85 is 120 times 85 is 10200
-I hope this helps
Solve w2 + 2 w - 24 = 0.
Answer:
w= -6
w= 4
Step-by-step explanation:
w= -b sqrt(b^2-4ac)
2a
let
a=1
b=2
c= -24
substitute values~
[tex]==========================================[/tex]
In order to solve this equation for w, we need to factor it.
First, let's think of 2 numbers that multiply to -24 and add to 2.
These numbers are -4 and 6.
Check:
6×(-4)=-24 ✓
6+(-4)=6-4=2✓
Now, factor:
( ) ( )
That's how it should look like:
(w+ )( w- )
Now, instead of the blanks, plug in -4 & 6:
(w-4)(w+6)
Now, set each factor equal to 0:
w-4=0
w=4
w+6=0
w=-6
[tex]====================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:-Nickname:-
[tex]\rule{1}{1}~\rule{2}{2}\mathbb{DiAmOnD}[/tex]I need help please, WILL GIVE brainliest !!!
Answer:
Statements #1: <L (congruent sign) <I
Statements #2: <H (congruent sign) <K
Statements #3: GH (congruent sign) MK
Reasons #2: given
Reasons #3: given
Reasons #4: angle angle side
it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
Answer:
1km=1000m... thats basically the answer so the nearest mail box is 3000M
5x+3y-11
What’s the answer ?.
Answer:
x=3y/5 + 11/5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
x
2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?
Answer:
A. R180 degree rotation
Step-by-step explanation:
if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation
Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).
- Mike and Jim are quicker and better shooters than Jason and Dave.
- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.
- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories
- Jason is the third tallest.
- Frank is the best shooter
- Jim is the second fastest.
- Jim is a better shooter than Mike.
Which player is the tallest?
From the given information, the tallest player is: Dave.
Who is a player?In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.
We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.
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5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image
A. R90°
B. R270°
C. R-270°
D. R-180°
Answer:
It was rotated D. -180 degrees
Step-by-step explanation:
the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)
I Don’t get this, someone help!!
Step-by-step explanation:
4)For answer of no 4
the third side can be gotten by pythagoras theorem;
It says,
hyp^2=opp^2 + adj^2
hyp= ?
opp=30
adj=40
so,
hyp^2=30^2 + 40^2
hyp^2=900+1600
hyp^2=2500
square rooting both sides,
hyp=50ft
Therefore the missing side is 50ft
5) for number 5
opp is missing
remember,
hyp^2=opp^2+adj^2
opp^2= hyp^2-adj^2
opp^2=41^2-40^2
opp^2=1681-1600
opp^2=81
square rooting both sides,
0pp=9Inches
Please help me with this please and thank you
Answer:
12
Step-by-step explanation:
4x-3x
4*3=12
it is 12
Apply the distributive property to factor out the greatest common factor.
4+10=
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
please can i have help answering the question in the picture
Hey there!
Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]
[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]
[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]
The base of the sailboat is 9ft and the height is 15 what is the area??
I will mark the right answer brainliest
Answer:
∠TAN = 36°
Explanation:
The figure shows an isoceles triangle.An isoceles triangle has two equal sides and equal angle measure.
The total interior angle of a triangle sum ups to 180°
∠TAN = ∠TNA
=========
∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°Answer:
B
Step-by-step explanation:
the sides of a regular pentagon are congruent , then
AT = NT and so Δ TAN is isosceles with base angles congruent , so
∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B
What is the area and perimeter? Show your work
Answer:
area = 6
perimeter = 12
Step-by-step explanation:
area:
1.8+3.2 = 5
5*2.4 = 12
12/2 = 6
perimeter:
3+4+1.8+3.2 = 12
Math homework pls help!!!!!
Answer:
z3 = 216 take the cube root of both sides
z = 6 cm = the side length