Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.
Answers
Angle A = 68 degrees
Angle B = 22 degrees
Side AB = 2.9 cm
The three values are approximate
=========================================================
Explanation:
a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
2.7^2 + 1.1^2 = c^2
8.5 = c^2
c^2 = 8.5
c = sqrt(8.5)
c = 2.91547594742266
c = 2.9
The hypotenuse is c = AB = 2.9
--------------------
We then use trig ratios to find the two missing angles.
Let's say we ignore the hypotenuse and focus on the two legs of the triangle.
With respect to reference angle A, side BC is opposite and AC is adjacent
Use the tangent ratio to get
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 2.7/1.1
tan(A) = 2.45454545454546
A = arctan(2.45454545454546)
A = 67.8336541779176
A = 68
Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.
-------------------
Similarly,
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 1.1/2.7
tan(B) = 0.4074074074074
B = arctan(0.4074074074074)
B = 22.166345822082
B = 22
Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.
-------------------
In summary we found
A = 68
B = 22
AB = 2.9
Related Questions
What iswhat is 10 * 9 equal
Answers
Answer:
90
Step-by-step explanation:
10,20,30,40,50,60,70,80,90
Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1, when r = negative 1 and s = negative 2.
Selena’s Work
Drake’s Work
(StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1 Baseline = (r Superscript negative 1 Baseline s) Superscript negative 1 Baseline = StartFraction r Over s EndFraction = StartFraction negative 1 Over negative 2 EndFraction = one-half
(StartFraction (negative 1) (negative 2) Superscript negative 2 Baseline Over (negative 1) squared (negative 2) Superscript negative 3 EndFraction) Superscript negative 1 = (StartFraction (negative 1) (negative 2) cubed Over (negative 1) squared (negative 2) squared EndFraction) Superscript negative 1 = (StartFraction negative 8 Over 4 Endfraction) Superscript negative 1 Baseline = StartFraction 4 Over negative 8 EndFraction = negative one-half
Who is correct and why?
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
Drake is correct because he substituted the values for the variables first, and simplified correctly
Answers
Answer:
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Step-by-step explanation:
What is the Solution
Answers
Answer:
16x=1 x=1/16 or 0.0625
2/5x=1 x=5/2 or 2.5
Step-by-step explanation:
for 16x=1 divide both sides by 16, 1 divided by 16 is 1/16 or 0.0625
for 2/5x=1 multiply by the reciprocal of 2/5 which is 5/2. 5/2 times 1 is just 5/2 or 2.5.
If the temperature starts out in the morning at 12° C but drops 18° by midnight, what is
the new temperature then?
(when they temperature drops, does it get colder or warmer?)
Answers
Answer:
it gets colder and it would be -6
Step-by-step explanation:
i hope
The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet. What is the area of the scale drawing?
50 square feet
500 square feet
600 square feet
1380 square feet
PLEASE HELP ME!!!!!!!
Answers
Answer:
There's two ways to solve this.
Step-by-step explanation:
First way:
Let's divide the width and length by 2.3.
46÷2.3=20
69÷2.3=30
20×30
600 ft²
Second Way:
Let's find the area of the actual room.
46×69
3,174 ft²
Let's find the scale drawing squared.
2.3²=5.29
3,174÷5.29
600 ft²
Answer:
600
Step-by-step explanation:
answer on edge 2021
Have a great day!
Find the product. −2 (3.1) lol another
Answers
Answer:
-6.2
Step-by-step explanation:
multiply -2 times 3.1
Answer:
-6.2
Step-by-step explanation:
Solve for x in the diagram below.
Answers
Answer:
77
Step-by-step explanation:
why because 100+3=103
and this is half a circle so the answer is 180-103 that is 77
Answer:
x = 20°Step-by-step explanation:
From the question it can be seen that all the angles lie on a straight line and
Angles on a straight line add up to 180°
To solve for x add up all the angles and equate them to 180°
That's
x + 3x + 100 = 180
4x + 100 = 180
Subtract 100 from both sides
4x + 100 - 100 = 180 - 100
4x = 80
Divide both sides by 4
We have
[tex] \frac{4x}{4} = \frac{80}{4} [/tex]We have the final answer as
x = 20°Hope this helps you
a circle has a radius of 2 feet. What is the circumference? Use 3.14 for Pi.
Answers
Answer:
12.57
Step-by-step explanation:
Each scoop of ice cream costs $3.50, which expression below represents the cost of x scoops of ice cream?
Answers
Answer:3.5•x or 3.5x
Step-by-step explanation:
You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to your local school. You then give half of your remaining books away to charity. You end with 8 books left. How many books did you start with?
Answers
Answer:
10 :)
Step-by-step explanation:
(3x - 14) / 2 = 8
3x - 14 = 16
3x = 30
x = 10
What is the value of |-12| ?
Answers
Answer:
12
Step-by-step explanation:
the absolute value of any negative number is the number in positive form.
Answer:
Hello!
The value would 12 cause it is the absolute value
For example:
If the is negative 12 the absolute value would be the opposite, so it would be positive 12.
But if it was
|12| then it would stay the same
Hope this helps!
-Fishylikeswater
Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ
Answers
Answer:
30°
Step-by-step explanation:
[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]
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Answers
Answer:
The Divisor is 6 miles
Step-by-step explanation:
A Divisor is also defined as a number by which a another number called dividend is divided by with or without having a remainder.
Divisor ÷ Dividend = Quotient
We are told that Julie goes to the park and jogs a total of six miles every day. She jogs three-fourths of a mile at a time.
In 1 day = 6 miles
Spread throughout the day, or per time , Jules jogs 3/4 of a mile
To find out how many times she jogs in a day, 6 miles will be divided by 3/4
Divisor ÷ Dividend = Quotient
= 6 ÷ 3/4
= 8 times in a day.
Looking at the above, calculation, 6 miles is the Divisor.
(A) this relation is a function
(B) this relation is not a function
Answers
Answer:
(b) this relation is not a function because this relation is a one to many ,functions are only many to one and one to one
Question 3 Evaluate the expression if x = 5 and y = 2 10 + 3x + 5y
Answers
Answer:
Sooo...
Step-by-step explanation:
1+2=7
Simple really.
The diameter of a circle is 7 in. Find its area to the nearest tenth.
Answers
D = r • 2
R = D/2
7/2 = 3.5
R = 3.5
A = πr^2
A = 3.14 • 3.5^2
A = 3.14 • 12.25
A = 38.465
A = 38.47
So therefore the area of the circle is 38.47!
Andrea, Beth, & Cathy's ages are consecutive whole numbers. Andrea is the youngest, and Cathy is the oldest. The sum of their ages is 54. How old is Cathy?
Answers
Answer:
Age of Cathy = 19
Step-by-step explanation:
Find:
Sum of their ages = 54
Assume;
Age of Andrea = x
Age of Beth = x + 1
Age of Cathy = x + 2
Sum of their ages = x + x + 1 + x + 2
54 = 3 x + 3
3 x = 51
x = 17
Age of Cathy = x + 2
Age of Cathy = 17 + 2
Age of Cathy = 19
19. What is 0.00375 expressed in scientific
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A. 3.75x10-3
B. 3.75x10-2
C. 3.75x102
D. 3.75x10
Answers
Answer:
answer is A 3.75x10^-3
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Answers
Answer:
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Step-by-step explanation:
Because i said so
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a
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d
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Answers
Answer:
Step-by-step explanation:
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x - 5 = 6
x = 11
4.78 gallons of milk is sold for $11.00. If you want to buy 9.58 gallons of milk, how
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Answers
Answer:
You will have to pay $22.05.
Step-by-step explanation:
We can solve this problem by making a proportion:
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I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.
Answers
Answer:
Hello!
YOUR ANSWER IS 315 DEGREES MORE
Step-by-step explanation:
To get it to the start position is the same as TURNING IT 360 DEGREES!
So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!
HOPE THIS HELPS!!
PLEASE HELP. FIRST (CORRECT) ANSWER GETS BRAINLIEST
Simplify the expression
12 - 4 x 3 / 7 + 13 x 15
Answers
Answer:
the answer is 240 multiply and divide
Answer:240
Step-by-step explanation:
Use the order of operations. (PEMDAS)
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
Hope this helped dude
Jonus watches the second hand on an analog clock as it moves past the numbers. What is the
probability that at any given time the second hand on a clock is between the 2- and the 3-hour numbers?
Answers
Answer:1/12 or 8.3
Step-by-step explanation:
PLEASEEEEEEEEEE HELPPPPP❤️
Answers
Answer:
B
Step-by-step explanation:
-6+√-4 = -6+2i
Answer:
-6 + 2i
Step-by-step explanation:
The square root of -4 is the imaginary number: 2i The -6 stays the same. So add,, but don't combine real and imaginary numbers.
-6 + 2i
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can
be written using function notation as
f(3) is
f(x) = -5 when x is
Answers
Answer Notion: f(-6)=8
f(3) is -2
f(x) = -5 when x is 4
Answer:
a b b
Step-by-step explanation:
Brainliest for the correct answer
Answers
Answer:
Hey there!
w-99=119
w=218
x/3=103
x=309
y/2=146
y=292
Let me know if this helps :)
what is the answer to ,Evaluate 2⁶
Answers
A building is of unknown height. At a distance of 400 feet away from the building, an observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º. How far is the poster from the roof of the building? Round your answer to the nearest tenth.
Answers
Given :
A building is of unknown height. At a distance of 400 feet away from the building .
An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .
To Find :
How far is the poster from the roof of the building .
Solution :
Height is given by :
[tex]h=d\times tan\theta[/tex]
( Here , [tex]\theta[/tex] is angle of elevation )
So , height of tower :
[tex]H=400\times tan 35^o\\\\H=280.08 \ feet[/tex]
For height of poster :
[tex]h=400\times tan 15^o\\\\h= 107.18\ feet[/tex]
Therefore , distance of poster from the roof of the building is :
[tex]( 280.08-107.18) = $$172.9\ feet[/tex]
Hence , this is the required solution .
Find the distance between the two points. (5,-3) (-4,7)
Answers
Answer:
-9.4
Step-by-step explanation: