find the missing side lengths. leave your answers as radicals in simplest form.
will mark brainliest answer!!!
x=?
y=?
Answers
Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
and
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )
y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 2
Related Questions
If an area of a circle is 65.71cm*2 what is the radius? Round the answer to 2DP.
Answers
Answer:
4.57
Step-by-step explanation:
square root of 65.71 divided by pie
What unit of measurement is used for liquid volume
Answers
Answer:
What unit of measurement is used for liquid volume? A Liter
sas, sss, aas, or not enough information
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Two Angles and the side between them are equal to corresponding Angles and side of another triangle ( one of the Angles are equal because of vertical opposite angle pair ), so the required congruency criteria to prove them equal is :
ASAAnswer:
ASA
Step-by-step explanation:
There are 5,000 books in the town's library. Of these, 4,600 are fiction. what is the percent?
Answers
Answer:
92%
Step-by-step explanation:
The part that is fiction over the total is the fraction that is fiction
4600/5000 = 23/25
Change this to a percent
23/25 * 4/4
92/100
92%
y=-4(x-2)^2+4 what is the vertex and axis of symmetry of this equation?
Answers
Answer:
Step-by-step explanation:
for vertex
x-2=0 gives x=2
when x=2,y=4
vertex (2,4)
axis of symetry
x-2=0
4x + b = 2x + c, solve for x
Answers
Answer:
[tex]4x + b = 2x + c \\ 4x - 2x = c - b \\ 2x = c - b \\ \\ x = \frac{c - b}{2} \\ \\ x = \frac{c}{2} - \frac{b}{2} [/tex]
I hope I helped you^_^
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.
Answers
equation: 3x + 2.06 = 5.06
x = 1
Step-by-step explanation:
The cost of each bottle is $1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.
The total cost before tax was $5.06.
let the cost of one juice bottle be x.
So, the equation is
2.06 + 3x = 5.06
3x = 5.06 - 2.06
3x= 3
x= 1
Hence, the cost of each bottle is $1.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ6
convert the equation 2x - 4y = 16 to slope intercept form
Answers
Answer:
y = 1/2x -4
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
2x-4y = 16
Subtract 2x from each side
2x-4y-2x = -2x+16
-4y =-2x+16
Divide each side by -4
-4y/-4 = -2x/-4 +16/-4
y = 1/2x -4
The slope is 1/2 and the y intercept is -4
Hey can you help me out with this problem?
Answers
Answer:
10
Step-by-step explanation:
20/2=10 smores
What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
Answers
Answer:
y = -x - 6
Step-by-step explanation:
Slope = m = -1
Equation of line: y = mx + b
y = - x + b
Plugin x = -1 and y = -5 in above equation
-5 = -(-1) + b
-5 = 1 + b
-5 - 1 = b
b = -6
Equation of the line: y = -x - 6
Valeria has been training for the Charlestown cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode and 8 mile route each morning and longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did valeria ride each evening
Answers
The number of miles covered every evening obtujwd using a system of equation is 15 miles.
Let the number of miles per evening = m
Number of days = 5 Number of miles per morning = 8 miles Total miles covered = 115 milesUsing the expression below :
Number of days(miles per morning + miles per evening) = 115 miles
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
Learn more : https://brainly.com/question/18796573
May I please receive help?
Answers
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
you have a goal to sell 80 tickets to the school carnival if you completed 10% of your goal how many tickets did you sell
Answers
Answer:
8
Step-by-step explanation:
Answer:
80-10%=79.9
Step-by-step explanation:
You need a calculator for this one
What is the value of x?
Enter your answer in the box.
Answers
Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
PLEASE HELP
What is the y-intercept for line c?
Enter your answer in the box.
Answers
Answer:
-5
Step-by-step explanation:
Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????
Answers
Answer:
8
Step-by-step explanation:
to be honest tho I don't even know
1,200 plus what equals what??
Answers
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
Izzati, Ai Ling, Rina and Susan share some stamps. Izzati and Ai ling take 1/4 and 1/8 of the total number of stamps respectively. After that, Rina takes 7/10 of the remaining stamps. Eventually, all the remaining stamps are taken by Susan. If Susan gets 42 stamps, find the total number of stamps originally.
Answers
Step-by-step explanation:
Assuming that the total stamp is x
According to the question
Izzati's stamps is 1/4
Ailing's number of stamps is 1/8
X= 1/4 x 1/8 = 5/8 - the remaining stamps.
Rina’s number of stamps is 7/10 x 5/8 = 35/80 x
5/8 x 35/80 = 15/80 - (Susan's stamps)
According to the question
15/80 = 42
X: 224
the total number of stamps originally is 224.
Is this triangle congruent?
Answers
Answer:
Yes
Step-by-step explanation:
Because both triangles are equal in legnth.
#2
Are the following triangles similar?
Please help!!
Answers
Answer:
Yes
Because
[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]
Also all angles are equal
Answer:
Yes
Step-by-step explanation:
Angle are equal and the ratio of the sides is 2:1.
PLEASE HELP
what is the inverse of tge function
Answers
Answer:
its the lastone
Step-by-step explanation:
Flying at an average speed of 525 miles per hour, how far can a
passenger fly in 2 hours, in 3 hours, and in 4 hours?
Answers
Answer:
In 2 hours: 1050 miles
In 3 hours: 1575 miles
In 4 hours: 2100 miles
Step-by-step explanation:
Multiply 525 by the number of hours to get each answer.
The points in the table lie on a line. Find the slope of the line.
Answers
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} [/tex]
A mechanic charges a flat fee of $30 plus $25 an hour for labor. Which equation can be used to determine how many hours, 1, the mechanic spends working on a
particular job if the total amount earned is T dollars?
Answers
Arrange in ascending order:
7,85,460 ; 7,58,406 ; 7,85,046 ; 7,85,640.
Answers
Answer:
7,58,406 , 7,85,046 , 7,85,460 , 7,85,640
Step-by-step explanation:
Which graph represents the polynomial function f(x)=x3+4x2−1
Answers
Answer:
B OK HOI THE FIRST TIME I AM SO SORRY TO
The answers for this question is
A Y= 1/5 x+1
B Y= -5/1 X+1
C Y= -1/5 X+1
D Y= -1/5 X-1
Answers
Answer:
C
Step-by-step explanation: C is the best equation
Answer:
C. y = -1/5x + 1Step-by-step explanation:
The graph is closer to a line:
With the y- intercept of 1With the negative slope close to horizontal lineAccording to above observation, the closest choice is C
The expression - 250 + 16z represents a submarine that began at a depth of 250 feet below sea level
and ascended at a rate of 16 feet per minute. What was the depth of the submarine after 9 minutes?
Answers
= -250 + 16(9)
= -250 + 144
= -106 feet
Factor Completely. (and please show work)
4x^2 - 8x +3
Answers
Step-by-step explanation:
=>4x²-8x+3
=> 4x²-2x-6x+3
=> 2x(2x-1)-3(2x-1)
=>(2x-1)(2x-3).
hope this helps you.
find the distance from the origin to
the point (7,4).
Answers
Answer:
8912
Step-by-step explanation:
don't use awnser plz
