Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: Diagrams are not drawn to scale.
Answers
Note: You missed to add some of the details of the question.
Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the right angled-triangle ABC as shown in the attached diagram
From the triangle:
Ф= ∠C = 30°
AB = 6 units
BC = y
tan Ф = opp ÷ adjacent
The opposite of ∠C = 30° is the length '6'.
The adjacent of ∠C = 30° is the length 'y'.
As Ф= ∠C = 30°
so
tan Ф = opp ÷ adjacent
tan 30 = 5 ÷ y
1 ÷ √3 = 5 ÷ y
y = 8.7 units
Therefore, the length of the unknown side length 'y' is 8.7 units.
Related Questions
Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answers
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answers
Answer:
6%
Step-by-step explanation:
I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.
Answer:
6%
Step-by-step explanation:
108 x%
------- = --------
225 100%
Express the following to percentage into fractions.
Answers
Answer:
65.2/100
Step-by-step explanation:
1/5 = 0,2
then:
65 1/5 = 65 + 0.2 = 65.2
65.2/100
Step-by-step explanation:
[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]
it comes to 325
15*PLEASE PLEASE PLEASE ANSWER VERY FAST AND CORRECT TYSM!
Answers
-2/15=13/15
Step-by-step explanation:
2/3-4/5=13/15
2/15=13/15
Find the value of θ from the following equation.(θ≤90°)
Answers
Answer: 10°
__________________________________________________________
We are given:
Sin(6θ) = Cos(3θ)
Solving for θ:
Simplifying Cos(3θ):
We know that:
Cos(θ) = Sin(90-θ)
So, we can say that:
Cos(3θ) = Sin(90 - 3θ)
Finding the value of θ:
Sin(6θ) = Cos(3θ)
Sin(6θ) = Sin(90 - 3θ) [Since Cos(3θ) = Sin(90 - 3θ)]
6θ = 90 - 3θ [If Sin(θ) = Sin(A) ; θ = A]
9θ = 90 [adding 3θ on both sides]
θ = 10° [dividing both sides by 9]
Evaluate -(7^-3)(7^5)
Answers
Answer:
Step-by-step explanation:
Answer:
-49
Step-by-step explanation:
it is really hard to type using this keyboard..but am sure d answer is -49
What is the value of x in the diagram
Answers
Answer:
17
Step-by-step explanation:
Answer:
x = 23
Step-by-step explanation:
3x + 4x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
What is the answer to this geometry answer?
Answers
Three students attempt to define what it means for lines lll and mmm to be perpendicular.
Can you match the teacher's comments to the definitions?
Answers
Please find diagram attached
Answer and explanation:
Perpendicular lines are lines that meet at 90 degrees/ right angle.
The question seems to be incomplete but I will explain what perpendicular lines are in the context of lines lll and mmm, with some assumptions about the lines.
Assume that line III is 30mm long and line mmm is 25mm long, we say that line III is perpendicular to line mmm if line III meets line mmm at 90 degrees as we see in the diagram attached.
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answers
Answer:
112
the answer is 112 :)))))
The ratio of books to magazines at Jessica’s house is 5:3. If there are 21 magazines at Jessica’s house, how many books are there?
Answers
Answer:
There are 35 books
Step-by-step explanation:
I hope this HELP! :)
How should you improve sentence 1?
Where should you move sentence 4 to improve organization?
Answers
Answer:
by referencing the source
after sentence 2
Step-by-step explanation:
edge2020
(Giving brainliets to who ever helps me!!
Solve eight and three fifths minus two and four ninths.
A) six and seven forty fifths
B) six and seven fourteenths
C) seven and seven forty fifths
D) seven and seven fourteenths
Answers
Answer:
6.1555
Step-by-step explanation:
the 5 is infinite in 6.15 such as 6.155555555 it does not stop
Answer:
6 [tex]\frac{7}{45}[/tex]
Step-by-step explanation:
i have this question and this what i got its right
In how many ways can a chairman and a vice-chairman of a board of 6 members can occupy their seats.
Answers
Answer:
5
Step-by-step explanation:
Sent from my iPhone and it is the email address that you sent me
0,2,3,5,8,10,15,17,24,26,?
Answers
Answer:
maybe 35 is the answer for the it
situation: the ratio of my friends that like basketball to the ratio of my friends that don’t like basketball is 41:30. This means that 41 out of my 71 friends like basketball. 57.74% of my friends like basketball and 42.26% of my class doesn’t like basketball.
question: if the ratio stayed constant for the whole school, what would your equivalent ratio be with a new total of 310 total people?
Answers
Answer:
17.9:13
Step-by-step explanation:
I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.
The number of students who like basketball:
310 x 0.05774 = 17.9
The number of students who don't like basketball:
310 x 0.04726 = 13
Hope this helps! :)
Answer:
17.9:13
Step-by-step explanation:
This is the answer
What is the solution to the equation 23(y−6)=−(y+2)+1?
y=−35
y=15
y=95
y=275
Answers
Answer:
They all make the equation false?
what is the slope of the line in the graph below
Answers
Answer:
-2
Step-by-step explanation:
The slope of the line is where the -2 is. The line passes through it.
Y=4x +2
Y = 4x+0.5
y=-2x + 2
Y=3X-10
Answers
Answer:is this a quiz
Step-by-step explanation:
?
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.
Answers
Answer:
t≤4
Step-by-step explanation:
58.40≥36+5.60t
Solve like any equation
58.40≥36+5.60t subtract 36 from both sides
22.40≥5.60t divide by 5.60
t≤4
(Ill give brainliest if u help!)
Which equation has a value less than 54,811?
A) 54,811 x 2 = ________
B) 54,811 x one and two fourths = ________
C) 54,811 x 1 = ________
D) 54,811 x two fourths = ________
Answers
Answer:
Answer is D
Step-by-step explanation:
Answer:
The answer would be D.
Step-by-step explanation:
7 identical taps can fill 3 identical tanks in 45 min. How long it will take 5 of the taps to fill one of the tanks?
Answers
Answer:
21 minutes
Step-by-step explanation:
Given that:
7 identical taps fill 3 identical tanks in 45 minutes
Since the taps and tanks are identical :
Hence, the 7 taps can fill 1 tank in :
45 /3 = 15 minutes
Therefore, 1 tap will fill 1 tank in :
7 tap = 15 minutes
1 tap = (15 * 7) = 105 minutes
Hence, 5 taps will fill 1 tank in :
105 minutes / 5
= 21 minutes
HELP PLEASE
Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given
Answers
Answer:
The 1st the 3rd and 4th are the answers
Step-by-step explanation:
Edgen
What's the axis of symmetry of y = 3x2 - 6x + 4
Answers
Answer: The axis of symmetry = 1
That's a vertical line passing through 1 on the x-axis
Step-by-step explanation: From standard form, ax² + bx + c
Use the values of a and b in the equation x = -b/2a to find s, the axis of symmetry.
x = -(-6)/2(3)
x = 6/6
x = 1
The required axis of the symmetry of the given parabola is x = 1.
Given that,
To determine the axis of symmetry of y = 3x² - 6x + 4.
A parabola is a cross-section cut out of the cone and represented by an equation.
Here,
The axis of symmetry of a parabola is given by -b/2a
Now. from the given parabolic equation y = 3x² - 6x + 4. we have a = 3 and b = 6.
Substitute the value in the symmetry equation
Axis of symmetry, x = -(-6)/2(2)
x = 1
Thus, the required axis of the symmetry of the given parabola is x = 1.
Learn more about parabola here:
brainly.com/question/4074088
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A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200 people and found it to be 10 ± 4. Therefore, we may conclude:_______
Answers
Answer:
95% confidence interval for the mean μ is (6,14)
The Population mean μ lies between ( 6, 14 )
Step-by-step explanation:
Explanation:-
Given random sample 'n' = 1200
95% confidence interval for the mean μ is determined by
[tex](x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )[/tex]
Level of significance = 95% 0r 0.05
Z₀.₀₅ = 1.96
[tex](x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )[/tex] = 10 ± 4
Mean of the small sample = 10
95% of confidence intervals are
( 10 ±4 )
( 10 -4 , 10+4)
( 6 , 14 )
95% confidence interval for the mean μ lies between ( 6, 14 )
By visual inspection, determine the best-fitting regression model for the data plot below.
Answers
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches
The equation of the regression line model for the data plot determines a quadratic equation
What is linear regression line?The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.
A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.
Given data ,
Let the linear regression line be represented as A
Now , the value of A is
Let the first coordinate on the graph be P ( 1 , 5.5 )
Let the second coordinate on the graph be Q ( 2 , 6 )
And , the data plots on the graph represents a curve or parabolic equation
So , it is a quadratic equation
Hence , the data plot of the regression line is quadratic
To learn more about regression lines click :
https://brainly.com/question/29753986
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C is the midpoint of AB. D is the midpoint of AC. E is the midpoint of DC. If DE = x2 and CB = 3x2 + 3x, describe the relationship between DE and CB and find the length of AB. PLZ HELP!!
Answers
Please find illustration attached
Answer and explanation:
I have illustrated the bisection of the lines using a diagram so it's easier to solve length of AB
Comparing line DE and CB, we know that DE is half of line DC and DC is half of CB, because CB= AC
Therefore DE is a quarter of line CB because length of DE × 4 will be equal to CB
To find length of AB, we go from known to unknown
We know from what we are given that line AB has a midpoint C, CB in line AB = 3x²+3x
CB=AC because CB is half of line AB
Therefore line AB
=3x²+3x+3x²+3x
= 6x²+6x
BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?
Answers
Answer:
1. The speed of the truck, S = D/T.
2. The formula that connects D and T is: S = D/T.
3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.
Step-by-step explanation:
a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance. This implies that speed is a function of distance and time. However, this formula represents the mean speed. There are variations in speed.
b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21 cups of soda? Using J for juice and S for soda, how will the equation look?
Answers
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
CAN ANYONE HELP ME ASAP?!? PLEASEEE! I’ll give brainliest!
1-4
Answers
Answer:
35 degrees
42 degrees
x = 8 degrees
x = 7 degrees
Step-by-step explanation:
1)
m <1 = 70/2 = 35 degrees
2)
m <1 = 84/2 = 42 degrees
3)
6 + 4 x = (9 x + 4) / 2
12 + 8 x = 9 x + 4
12 - 4 = x
x = 8 degrees
4)
3 x - 1 = x + 13
2 x = 14
x = 7 degrees