Answers
Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , thus
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 8
--------------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , thus
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )
4[tex]\sqrt{3}[/tex] = y × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 4
Related Questions
What is the solution for x in the equation?
9x - 20 - 4x = 40?
X=1/4
X=4
X=12
X=1/12
Answers
Answer:
x = 12
Step-by-step explanation:
9x - 20 - 4x = 40
Combine like terms
5x -20 = 40
Add 20 to each side
5x -20+20 = 40+20
5x = 60
Divide by 5
5x/5 = 60/5
x = 12
9x - 20 - 4x = 40
By transposition method, we get
9x - 4x = 40 + 20
By simplifying the like terms, we get
5x = 60
or, x = 60/5 = 12
The value of x is 12.
Solve the system of equations.
\begin{aligned} &-6y+11x = -36 \\\\ &-4y+7x=-24 \end{aligned}
−6y+11x=−36
−4y+7x=−24
Answers
Answer:
The solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
Step-by-step explanation:
Given the equation
[tex]-6y+11x=-36[/tex]
[tex]-4y+7x=-24[/tex]
solving the system of equations
[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]
[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]
[tex]-12y+21x=-72[/tex]
[tex]-[/tex]
[tex]\underline{-12y+22x=-72}[/tex]
[tex]-x=0[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]
solving for x
[tex]-x=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]
[tex]-12y+22\cdot \:0=-72[/tex]
[tex]-12y+0=-72[/tex]
[tex]-12y=-72[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]
[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]
[tex]y=6[/tex]
Therefore, the solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
I need help with this math question please
Answers
Answer:
yes D. is correct
Step-by-step explanation:
What is the scale factor of the ratio 2:7 ?
Choices:
K=2/7
K=7/2
K=2/9
K=7/9
K=9/2
K=9/7
Answers
Answer:
K=2/7
in ratios you are dividing that to that(that:that)
I hope this is good enough:
Patrica can drive 36 kilometers for every 3 liter of gas she puts in her car complete the table using equivalent ratios
Answers
Answer:
48 K - 4 L
132 k - 11 L
Step-by-step explanation:
36 ÷ 3 = 12 so that means that for every 1 liter there are 12 Kilomiters.
4 x 12 = 48
11 x 12 = 132
Find the percent increase round to the nearest percent
From 42 acres to 72 acres
Answers
Answer:
58.333333 percent
Step-by-step explanation:
58 percent
I took 42 divided by 72 times 100
What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139
Answers
F. Square root of 39
Step-by-step explanation:
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.
[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]
[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]
[tex]\frac{x}{13}=\frac{3}{x}[/tex]
[tex]x^2=39[/tex]
[tex]x=\sqrt{39}[/tex] units.
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Find out more information about triangle here:
https://brainly.com/question/2773823?referrer=searchResults
58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15
Answers
Answer:
a
Step-by-step explanation:
I NEED HELP LIKE ASAP Which ratios are equivalent to 3 parts silver paint to 4
parts green paint? Check all that apply.
O4:5
O 6:8
O 5:6
O9:12
Answers
Answer:
its o4:5
Step-by-step explanation:
Explanation
Because when u seee 2 parts it’s the same
GEOMETRY INEQUALITY. HELP PLEASE
Answers
Answer:
some excuse to get points um hi
Step-by-step explanation:
YO YO WHATS UP GUYS IMMA BOUT TO GET SOME HAIR DYE AND DO A COSMIC COLOR YAYAYAYYAY
Answers
Answer:
Oohhh coooooooooooool
Step-by-step explanation:
When your finish, post a pic
I am excited!
GOOD LUCK
Answer:
Niceee
Step-by-step explanation:
PLEASE HELP MEEEEE THIS IS SO HARDDD
Answers
Answer:
B and $684
Step-by-step explanation:
B, because wednesday is three days after sunday so 4 times 3 because she walks 4 more laps each day until saturday. Add the 24 laps she already walks 4(3)=12+24=36
By saturday she would've walked 48 laps, so 48 times 3 for the 3 dollars each lap. 48(3)=144 now u have to find the other days so the equation you would use is 3(24 + 4x), x for the day until saturday. 3(24+4(1))=3(28)=84,just do that for each day and then add all them together because the question asked by the end of the week, saturday, how much money so yea. 84+96+108+120+132+144=684
(honestly u could just keep adding 12 to the previous number as that's what it's increasing by.) haha rlly hope I'm not wrong on the second one. Have a nice day!
What equations are equal to 3x-12=24
Answers
Given: Triangle ABC with vertices A(5,-2), B(5.-7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answers
Answer: C (0,0), (-4,0) and (0, -5)
Step-by-step explanation:
After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.
To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.
Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.
The new coordinates for the repositioned triangle will be:
A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)
B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)
C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)
To know more about coordinate geometry proofs.:
https://brainly.com/question/6709986
SPJ2
Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation
Answers
Answer:
the triangle was rotated about 90 degrees i think
Answer:
The answer is D. Rotation
Step-by-step explanation:
Took the test lol
SOMEONE PLEASE HELP
ONLY ANSWER IF YOU KNOW THE ANSWER
I WILL BE REPORTING ANSWERS THAT HAVE NOTHING TO DO WITH THIS
Answers
Answer: c and e
Step-by-step explanation:
please write a word problem to represent 5÷ 1 and 1 half
Answers
Answer:
Ana baked 5 cookies and wanted to divide 1.5 of the cookies to her friends and the rest to her family. How many cookies were given to her friends?
Step-by-step explanation:
Answer:
that is my answer hopes it helps you
Step-by-step explanation:
the 5÷ 1 and 1 I got 1.5 for answer
What is the solution of the following one step equation? X-0.7= -2
Answers
Answer:
x = -1.3
Step-by-step explanation:
(GR.7MATH)
Can somebody plz answer all these correct in simplify form thanks!
I’m confused on how to write in simplify so can somebody plz write it in that way.
WILL MARK BRAINLIEST
Answers
Answer:
dcc
Step-by-step explanation:
aajajaja
what is the slope of a line perpendicular to the line whose equation is Y=2x+5?
A. slope =-2
B. slope =-1/2
C. slope =-1
Answers
This is because the m-value aka the slope is always the reciprocal if the line is perpendicular
what is 9 + 8 X 3 – (5 x 2) using pemdas
Answers
Answer:23
Step-by-step explanation:
Solve
12x - 4 = -3 +3
Answers
+4 +4
12x = 1+3
12x =4
/4 /4
x =1
Answer:
Exact answer: 1/3 Decimal Form : 0.3
Step-by-step explanation:
Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
Answers
Answer:
[tex]y-18=-2(x+2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
[tex]y-18=a(x+2)^2[/tex]
Now substitute the point (-5,0) and find the value of a:
[tex]0-18=a(-5+2)^2[/tex]
Operating:
[tex]-18=a(-3)^2[/tex]
[tex]-18=9a[/tex]
Solving for a:
[tex]a = -18 / 9[/tex]
a = -2
Thus, the equation of the quadratic function is:
[tex]\mathbf{y-18=-2(x+2)^2}[/tex]
Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°. (just enter the number for your answer)
Answers
Answer:
280
Step-by-step explanation:
edge 2021
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answers
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
There were 26 students in the class 2 of them later moved to another
school. The teacher wants to place students at an equal number at each of 4
tables. How many students did the teacher place at each table?
Answers
Answer:
6 at each table
Step-by-step explanation:
26 - 2 is 24 and 6 times 4 is 24
Answer:
6 students
Step-by-step explanation:
There's a total of 26 so take the 2 students out so now you will have 24. Just do 24 divided by 4 and you will get 6.
10 1/2 x 1/3 help me pls
Answers
Answer:
The answer is 3.5
Step-by-step explanation:
Hope this helps :)
PLEASE HELP!! IVE BEEN STUCK FOR A LONG TIME HAHA
Answers
Answer:
here it is
Step-by-step explanation:
8. Ten friends go out for dinner. The total cost of the meals is $141. Some
friends have three-course meals and the rest have two-course meals. Each
of the three-course meals costs $15 and each of the two-course meals
costs $12. The number of people who have three-course meals is x, so the
number of people who have two-course meals is 10 - x. How many three
course meals are possible?
2 three-course meals
20 three-course meals
e
7 three-course meals
5 three-course meals
Answers
Answer:
7 three-course meals
Step-by-step explanation:
7 x 15= 105
141-105= 36
36/12= 3
7+3= 10
So total, there are 10 meals; 7 three-course and 3 two-course
Solve the system
x + 3y = 6
2x + 4y = 12
A. (3,2)
B. (6,0)
C. (5,0.5)
D. (4,1)
Answers
Answer:
Hi... Your answer is... B