For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answers
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
Related Questions
what are the first 3 composite numbers that are multiples of 4 and greater than 10.¯\_(•_•)_/¯
Answers
Answer:
12,16,20
Step-by-step explanation:
First list the multiples of 4
4,8,12,16,20,24,28
We want the ones that are greater than 10
12,16,20
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Answers
Is this a function or not a function
Answers
Answer:
It is a function
Step-by-step explanation:
A function states that you must have one output every one input and this is done but with the same output.
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answers
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answers
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
Find sin θ. Right Triangle Trigonometry.
Answers
Answer:
A. 16/20
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ
Opposite Leg = 16
Hypotenuse = 20
Step 2: Find Ratio
Substitute [Sine]: sinθ = 16/20Answer:
A. 16/20
Step-by-step explanation:
The sine ratio is the opposite leg over the hypotenuse, opp/hyp.
For angle theta, the opposite leg is 16. The hypotenuse is 20.
sin (theta) = 16/20
Answer: A. 16/20
Please give me the correct answer
Answers
Answer:
D
Step-by-step explanation:
i think the 4th is the answer
What is 1400 x 3278
i need help
Answers
Answer:
4,589,200
Step-by-step explanation:
Answer:
4589200
Step-by-step explanation:
hope this helps!! :D
There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S. According to these figures, what is the approximate percentage of U.S. households with pet rabbits?
Answers
Answer:
C
Step-by-step explanation:
Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.
6,678,000/126,200,000 ≈ 0.05 = 5%
Answer:
C
Step-by-step explanation:
you have to divde the household pets
Sin θ = 12/37. Find tan θ. Right Triangle Trigonometry.
Answers
Answer:
[tex]\huge\boxed{B.\ \dfrac{12}{35}}[/tex]
Step-by-step explanation:
Look at the picture.
We know:
[tex]\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}[/tex]
We have
[tex]\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37[/tex]
Use the Pythagorean theorem.
[tex]a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35[/tex]
Calculate tangent:
[tex]\tan\theta=\dfrac{12}{35}[/tex]
Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.
Answers
Answer:
1.2 mph
Step-by-step explanation:
3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour
Write this number in expanded form 36.91
Answers
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
Solve the system using elimination. 5x + 3y = -6
3x-2y = 4
Answers
Answer:
x=0;y= -2Step-by-step explanation:
(please look the attachment) Hope it helps... please mark this answer as brainliest5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Answers
Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
What is 60 minutes 20% of
Answers
Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
Flo sets a goal of walking 10,000 total steps per day. Flo's normal routine involves walking 4,000 steps per day. If Flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normal routine?
Answers
Answer:
60 minutes or 1 hour
Step-by-step explanation:
10,000 - 4,000 = 6,000 more steps to add
6,000 steps / 100 per minute = 60 minutes more, 1 hour more
Hope this helps! :)
The graph below shows two functions f(x) and g(x)
such that g(x) = f(x) +k
Enter the value of kin the box below.
k=
Answers
Answer:
The value of k is 7
Step-by-step explanation:
The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:
g(x) = f(x) +k
To know the value of k, we select a value for x and calculate the value of k.
For example, for x=0, f(0)=-6, g(0)=1, and:
g(0) = f(0) +k
1 = -6 +k
k = 7
We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:
g(-5) = f(-5) +k
7 = 0 +k
k = 7
The value of k is 7
the answer above is correct
The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *
Answers
Answer:
The answer is 32 degrees
Step-by-step explanation:
45 minus 13 equals 32
y = -8x – 3
x+y=7
Is (3, 4) a solution of the system?
Answers
4 = -24-3 false
3 + 4 = 7 true
The first one is false, second is true
Answer: the answer is no :)
Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answers
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
Learn more about the average speed here :
brainly.com/question/12322912
#SPJ5
_______ is the lowest point in a particular section of the graph.
A. relative maximum
B. relative minimum
C. absolute maximum
D. absolute minimum
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. relative minimum
Step-by-step explanation:
This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.
Which iWhich expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 + 4x 2x – 10 + 5x + 4s equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answers
Answer:
A
Step-by-step explanation:
Solve for n .
n - 26 = -13 .
n =
Answers
Answer:
n = 13
Step-by-step explanation:
Given
n - 26 = - 13 ( add 26 to both sides )
n = 13
Final Answer: [tex]n = 13[/tex]
Steps/Reasons:
Question: Solve for n. n - 26 = -13. n = ?
Step 1: Add 26 to both sides.
[tex]n = -13 + 26[/tex]
Step 2: Simplify -13 + 26 to 13.
[tex]n = 13[/tex]
~I hope I helped you :)~
help me pleaseeeeee!!!!!
Answers
Answer:
61
Step-by-step explanation:
3x + 28
5x + 52
+ 2x - 10
10x + 70 = 180º
x = 11
3(11) + 28 = 61º
Which of the following best defines the sequence shown?
8, 24, 72, 216, ...
Answers
Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answers
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
F(x)=-3(x-1) find f(0)
Answers
Answer: 3 (x-1)
______
x
Step-by-step explanation:
so thats 3(x-1) over x
have a good day! :)
plz give me brainliest
Answer:
3
Step-by-step explanation:
F(x)=-3(x-1) find f(0)
F(0) = -3(0-1)
F(0) = -3(-1)
F(0)= 3
1
Which is equivalent to 64?
O 2/4
4
O 16
O 16/4
Answers
Answer:
4
Step-by-step explanation:
Answer:Option (a) is correct.
Step-by-step explanation:
evaluate f(-3) if f(x) = 5x^3+2x^2-4x+1
Answers
Answer:
-3326
Step-by-step explanation:
replaces the x's with -3
so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326