Answers
Answer:
The results are presented below.
Question 1 - sin L = [tex]\frac{3}{5}[/tex]
Question 2 - tan N= [tex]\frac{4}{3}[/tex]
Question 3 - cos L = [tex]\frac{4}{5}[/tex]
Question 4 - sin N= [tex]\frac{4}{5}[/tex]
Question 5 - x=8.5
Question 6 - x=27.2
Step-by-step explanation:
For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.
Question 1This question asks the sin L. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]
Question 2This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:
[tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]
The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.
[tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]
There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.
[tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]
Question 3This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:
[tex]cos L=\frac{adjacent}{hypotenuse}[/tex]
The adjacent side (ML) you found in the question 2. ML=8, therefore:
[tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]
Question 4This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]
Question 5You can find x from the trigonometric ratio of cos :
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]
From calculator, you have cos 32° = 0.8480. Then,
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]
Question 6You can find x from the trigonometric ratio of sin:
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]
From calculator, you have sin 54° = 0.8090. Then,
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]
Learn more about trigonometric ratio here:
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Answer:
Step-by-step explanation:
Related Questions
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
-5x+32-20x+48=180
-25x=100
x=-4
Find the gradient of the line segment between the points (2,3) and (4,7)
Answers
Answer:
1/2
Step-by-step explanation:
take change in X divided by change in Y values
I already know the answer but ima check and see.
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Fraction form is 229/100
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Answer:
0.2 I think
Step-by-step explanation:
7x6=42
35÷42=0.2
explanation:
Area: base x height
35/7=5
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answers
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24
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S M/JIB MYP MATH 1: Period 8-E X
B Post Attendee - Zo
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Jenna Hill
Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?
Answers
Answer:
225 boards
Step-by-step explanation:
99 ft/0.44 ft = 225 ft
Plz help well mark brainliest if you are correct!
Answers
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
I need help this is so hard.
Answers
Explanation- it is the only one who does not fit in
17. Multiply 3x3y2 by -6xby7.
O A. 18x15y14
O B.-18x2y3
O C. -18x8yº
O D. -9x15y14
Answers
PLSS HELP ASAP!!!
PLSS ASAPP
Answers
Answer:
C) 297 cm²
Step-by-step explanation:
1/2(22)(27)=297
Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2
Answers
Answer:
314 cm^2
Step-by-step explanation:
(=^w^=)
A= 2*pi*r*h
A=2*pi*5*10
A=314.16 cm^2
Step-by-step explanation:
2×5×10=
10×10= 100 cm²
=100 cm²
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Answers
Answer:
<DEC and <IHJ
Step-by-step explanation:
Alternate exterior angles are angles on the other side of a transveral and on the exterior area.
Find the distance between the pair of points (2, 3) and (6, 8)
Answers
Answer: d=sqrt(41) =6.4031
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=2 ,x2=6 ,y1=3 ,y2=8
d=sqrt((6-2)^2+(8-3)^2 )
d= sqrt((4)^2+(5)^2
d=sqrt(16+25)
d=sqrt(41) =6.4031
a customer purchases windows for $15,000 using a credit card. If the interest is compounded monthly at a rate of 16% per year, how much interest will be charged at the end of three years?
Answers
Answer:
≈ $9164.35
Step-by-step explanation:
The future amount A is calculated as
A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3
A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]
= 15000 ([tex](1.01333)^{36}[/tex]
≈ 24164.35
Interest paid = $24164.35 - $15000 = $9164.35
Answer:
The future amount A is calculated as
A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
Y = 5x + 2
6y = 18x + 12
What is the value of X?
Answers
Step-by-step explanation:
x= 0, y = 2
have a great day
a train travels 18 km in 30 minutes.Find the speed of the train in km/h
Answers
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
What is the y-intercept in the graph below?
y
1
Answers
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
What is the answer to this question
Answers
Answer:
3
Step-by-step explanation:
15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
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Answers
Answer:
Select a card from a set of cards with the letters A through D, then spin this once.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?
Answers
Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
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Answers
Answer:
You are? so am I
Step-by-step explanation:
Answer:
1. 49, 2. 245
Step-by-step explanation:
Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days
Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answers
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?
A. y-4 = 3/4 (x-6) B. y+ 4 = 3/4 (x-6) C. y- 6 = 3/4 (x-4) D. y-6 = 3/4 (x+4)
Answers
Answer:
B. y+ 4 = 3/4 (x-6)
Step-by-step explanation:
Given:
m = 3/4
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = 3/4(x - 6)
A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?
Answers
Answer:
Ihe answer is 845 times
Step-by-step explanation:
help ples me i hate ixl
Answers
Answer:
200
Step-by-step explanation:
Base of the prism is a square
So
[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]
[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]
[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]
Now
[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]
[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]
[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]
Determine whether the figure is a parallelogram.
Answers
Answer:
The figure is a parralellogram
Step-by-step explanation:
it has 4 sides and one set is parallel
Suppose you roll a special 33 sided die. What is the probability that the number rolled is a one or a two?
Answers
Answer:
2/33
Step-by-step explanation:
Chance of rolling a 1 is 1/33, chance of rolling a 2 is also 1/33. so add the probabilities 1/33 + 1/33 =2/33
What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answers
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Answers
Explanation:
50% of 100 is 50.
50 time 1.12 is 56
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
Learn more about percentages here :
https://brainly.com/question/24159063
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Please can someone find X! Please!
Answers
Explanation:
24^2+10^2= 676
Sqrt 676 = 26