Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction
Answers
Answer:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
[tex]\cos Y= \frac{YZ}{XY}[/tex]
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y
For angle Y:
[tex]Opposite = XZ[/tex]
[tex]Adjacent = YZ[/tex]
[tex]Hypotenuse = XY[/tex]
The [tex]\sin[/tex] of an angle is calculated as:
[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
So:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
The [tex]\cos[/tex] of an angle is calculated as:
[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
So:
[tex]\cos Y= \frac{YZ}{XY}[/tex]
The [tex]\tan[/tex] of an angle is calculated as:
[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Answer:
C, short answer
Step-by-step explanation:
trust
Related Questions
Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3
Answers
Answer:
O y = -5x + 7
Step-by-step explanation:
[tex]5x + y = -2 \\y = -5x - 2[/tex]
the slope of this line is -5 so the slope of a parallel line will also have to be -5
put it in point slope form:
y - - 3 = -5(x - 2)
y + 3 = -5x + 10
y = -5x + 7
Sorry again I need help
Answers
Answer:
I think it's option 4
Step-by-step explanation:
I hope my answer is true
Answer:
2
Step-by-step explanation:
or 4 but I'm pretty sure it's that cause it hits the y and x
please help asap!
A scatter plot is shown:
What type of association does the graph show between x and y? (4 points)
a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association
Answers
Answer:
A
Step-by-step explanation:
the dots form a line going upwards from the origin in a positive way (quadrant 1)
Find the value of the expression:
A + B - 3
For a =10 and b = 7
Answers
Answer:
14
Step-by-step explanation:
10+7 = 17 - 3 = 14
what's
[tex] \sqrt{212 + 13} [/tex]
Answers
Answer:
Answer is 15 I hope this help
PLs help i really need it will give brainliest and thanks and 5 stars
Answers
Answer:
(5-2t)<-4
Step-by-step explanation:
The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4
The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?
Answers
Answer:
325 hot dogs were eaten during the contest.
Step-by-step explanation:
Just add all the hot dogs together. Wow, it's a lot though. :)
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answers
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
need help solving please
Answers
Answer:
7
hope it helps..........
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answers
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
7y - 2 3/4 = 1/2 solve these equation
Answers
Answer:
y = [tex]\frac{13}{28}[/tex]
Step-by-step explanation:
Given
7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )
7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )
28y - 11 = 2 ( add 11 to both sides )
28y = 13 ( divide both sides by 28 )
y = [tex]\frac{13}{28}[/tex]
Answer: y= 13/28
1. Convert 2 3/4 to improper fraction. Use this rule: a b/c = ac+b/c.
7y - 2 • 4 + 3 / 4 = 1/2
2. Simplify 2 • 4 to 8.
7y - 8 + 3 / 4 = 1/2
3. Simplify 8 + 3 to 11.
7y - 11/4 = 1/2
4. Add 11/4 to both sides.
7y = 1/2 + 11/4
5. Simplify 1/2 + 11/4 to 13/4.
7y = 13/4
6. Divided both sides by 7.
Y= 13/4 / 7
7. Simplify 13/4 / 7 to 13 / 4 • 7.
Y = 13 / 4 • 7
8. Simplify 4 • 7 to 28.
Y= 13/28
Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse. Scale Factor If the house is to be 32.532.5 inches tall, what will the height be on the plans? ___________ inches
Answers
Answer:
1 : 5 ;
6.5 inches
Step-by-step explanation:
Given that:
11 inch on plan = 55 in actual
The scale factor here is :
11 : 55
1 : 5 ( 1 inch on plan represents 5 inches the actual house)
If the house is 32.5 inches tall
The height in inches of the house on the plan will be:
Actual Height of house / 5
32.5 / 5 = 6.5 inches
Answer: 6.5
Step-by-step explanation:
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answers
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
A school track is shown.
1000 m
74 m
The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What
is the distance, in meters, around the entire track? Use the button on your calculator and express your answer to
the nearest hundredth
The distance is
meters
Answers
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track:
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters
Hope this helps!
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answers
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answers
Please help me with this homework
Answers
which is equivalent to the following expression
7/12 times 4
Answers
Answer:
4/1
Step-by-step explanation:
Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?
Answers
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.
Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.
"Expand the brackets and Simplify"
(pls i need help asap)
Answers
2+4c = 2+4c
B) 6(14r-2t)
= 84r-12t
1.X + 1 3/7 = 4 5/7 Use either method that was
taught.
Answers
Answer:
32/7
Step-by-step explanation:
I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?
Answers
65 traffic cones we’re equally spaced over 5/8 of a mile how many traffic cones are used per mile
Answers
Given:
65 traffic cones we’re equally spaced over [tex]\dfrac{5}{8}[/tex] of a mile.
To find:
The number of traffic cones are used per mile.
Solution:
We have,
Number of cones used in [tex]\dfrac{5}{8}[/tex] of a mile = 65
Number of cones used for a mile = [tex]65\times \dfrac{8}{5}[/tex]
= [tex]13\times 8[/tex]
= [tex]104[/tex]
Therefore, 104 traffic cones are used per mile.
Help
I neeed to get this question right
Answers
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
Solve for x to the nearest tenth.
Answers
x=11.18 is your answer look it once
Select all the equations that have a solution of -4:
A. 10 + x = 6
B. 10 - x = 6
C.-3x = -12
D. -3x = 12
E. 8 = x^2
F. x^2 = 16
Answers
Answer:
a, d, f ( 4,-4)
Step-by-step explanation:
Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Answers
I need help please help me!!!!
Answers
40+40+60+75+11x+13 = 360
11x+228 = 360
11x = 132
x = 132:11
x = 12
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
Answers
find the missing number that will make the statement true