Answers
Answer:
x = 20
y = √3 / 10
Step-by-step explanation:
The cosine ratio gives the ratio between the adjacent side and the hypotenuse.
The sine ratio gives the ratio between the opposite side and the hypotenuse.
Taking cosine ratio to find x :
cos 60° = 10/x
1/2 = 10/x
x = 20
Taking sine ratio to find y :
sin 60° = y/x
√3 / 2 = y/20
y = √3 / 10
Answer:
x= 20 , y= 10√3
Step-by-step explanation:
This question is clearly a trigonometry question
Please bare in mind :
Cos 60 = 1/2
Sin 60 = √3/2
Tan 60 = √3
Side x is the hypotenuse (h)
Side y is the Opposite (o)
And side with length of 10 is adjacent (a)
To find x, we have a, and we need h
So we use C = a/h
Cos 60 = 10/h
h = 10/Cos 60
h = 10/0.5
h = 20 , x=20
To find y, we can use pythagaros as we found the value of x :
10² + y² = x²
10² + y² = 20²
y² = 20²-10²
y² = 300
y = √300
y= √100×3 y=√100 × √3
y = 10√3
This is our y value
Another way to find y is trigonometry :
We have a and we need o so we use :
T = o/a
Tan 60 = o/10
o = 10×tan 60
o = 10×√3
o = 10√3 , y=10√3
Sorry for not being urgent but give brainliest please
Related Questions
Tutorial
A line passes through the points (0, -8) and (-9, -9). What is its equation in slope-intercept
form?
Answers
Explanation: m= (y2-y1)/(x2-x1)
(-9 - -8) / (-9 - 0) = -1 / -9 = 1/9
1/9x is the slope
B = -8 since it’s x value is 0
So in y=Mx+b form the solution is
Y=1/9x-8
Answer:
[tex]\boxed{\sf{y=\dfrac{1}{9}x-9}}[/tex]Step-by-step explanation:
To find:
Passes through the points of (0,-8) and (-9,-9).To use:
The slope and slope-intercept form formula.Given:
The slope of a line is often indicated by the letter m.
It can be calculated by selecting any two points on the line and calculating the rate of change between them.
[tex]\underline{\text{Slope:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
y2=(-9)y1=(-8)x2=(-9)x1=0Solve.
[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]
The slope is 1/9.
Slope-intercept form:
All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.
⇒ y=mx+b, y=b+mx and y=mx+cThe m represents the slope.
The b represents the y-intercept.
The y-intercept is -8.
[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]
Therefore, the correct answer is y=1/9x-8.I hope this helps, let me know if you have any questions.
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Suppose that a gated community consisting of 40 houses requires:
500 liters of water everyday for common utilities of the community, and
a certain amount of water everyday per house.
Assuming that the water tanker supplies no more than 4500 liters of water per day to this community, what is the maximum amount of water that can be used by each house on a daily basis?
liters
Answers
The maximum amount of water that can be used by each house on a daily basis is 100 liters.
How to calculate the amount of water?From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.
The maximum amount of water that can be used by each house on a daily basis will be:
4500 = 40x + 500
40x = 4500 - 500
40x = 4000
x = 4000/40
x = 100
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What is the value of the rational expression below when xis equal to 4?
x-12/x-8
Answers
Answer:
= -7
Step-by-step explanation:
given x = 4
12/4 = 3
4 - 3 - 8 = -7
Solve for Unknown: x/10=24/39.
Do not put variable, only put the number value to the nearest whole number.
Answers
Answer:
6
Step-by-step explanation:
When you have a proportion (fraction=fraction), you can crossmultiply to solve. See image.
6. If sin e √√3 2 60° 120° 240° 420° which could not be the value of 0?
Answers
The only value of the angles that could not be the value of the θ is determined as 240⁰.
Value of sinθ
If sinθ is given as [tex]\frac{\sqrt{3} }{2}[/tex], then the value of θ is determined as follows;
sinθ = √3/2
sinθ = 0.866
θ = sin⁻¹(0.866)
θ = 60⁰
Other possible values of θWhen the angle is translated in radians, θ = π/3 = 180/3 = 60⁰
thus, θ = π/3
2(π/3) = 2(60) = 120⁰
using the following formula, we can obtain the rest;
θ = π/3 + 2πk
when k = 1;
θ = π/3 + 2π(1)
θ = 60 + 2(180)
θ = 420⁰
Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.
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Find the length of X
and show the work.
Answers
Answer:
5.641 = x
Step-by-step explanation:
Work on the right triangle
pythag theorem
9^2 + L^2 = 10^2
L = sqrt 19
then x = 10 - sqrt 19 =5.641
In circle H with m/GHJ = 70 and GH = 10 units, find the length of arc GJ.
Round to the nearest hundredth.
Answers
Answer:
GH8 remains 70 and gh remains 10
Step-by-step explanation:
there is no five or more
How can you estimate and compare square roots?
Answers
Answer:
To estimate the square root of a number, you're going to use:
Multiplication knowledge to find the whole numbers you are working betweenRulerNumberlineSentence formGet as close as possible to the number you're trying to square root by finding two perfect square roots that give a close number.
What are the solutions of the equation y = -2x square + 9x - 4
Answers
Answer:
x = (-1±i√3)/2
Step-by-step explanation:
y = -2x² + 9x - 4
x = (-b±√(b²-4ac))/2a
x = (2±√((-2)²-4(-1)(-4))/2(-2)
x = (2±√(4-16))/-4
x = (2±√-12)/-4
√-12 = √12 x √-1
√12 = √4√3
2i√3
x = (-1±i√3)/2
How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?
A. The graph of f(x) is shifted three units to the right of the graph of g(x).
B. The graph of f(x) is shifted three units down from the graph of g(x).
C. The graph of f(x) is shifted three units up from the graph of g(x).
D. The graph of f(x) is shifted three units to the left of the graph of g(x).
Answers
Using translation concepts, it is found that the correct option is given by:
B. The graph of f(x) is shifted three units down from the graph of g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]g(x) = -4^{5x}[/tex]
The translated function is:
[tex]f(x) = -4^{5x} - 3[/tex]
3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.
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Alannah picked out 10 apples that cost a total of $5. On her way to the checkout counter, she decided she really wanted 12 apples. If all the apples are the same price, how much will Alannah pay for 12 apples? Explain how each child came up with their answer?
Answers
6 dollars for 12
Step-by-step explanation:
if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples
Whats the sum of integers from -100 to 30
Answers
Answer:
-4585
Step-by-step explanation:
help i don't get it??
Answers
Answer:
attached image
Step-by-step explanation:
Formula:
Discount = Regular price x (% / 100)
you divided by 100 to change it into a decimal
Sale Price = Regular price - Discount
the graph of y=sin x and y=cos x are identical except for a horizontal shift
Answers
The linear inequality y <-2/3+ 2 is graphed. Which is a solution for the inequality
Answers
Answer:
C. (0;0).
Step-by-step explanation:
(0;0) only.
if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).
Please help me out with this question
Answers
Answer:
A6n+4
Step-by-step explanation:
Mia has two cylindrical bird feeders. Her red bird feeder has a diameter of 10 inches and is 8.3 inches tall. What is the volume of the red bird feeder?
Answers
The volume of the red bird feeder will be equal to V=651.88 cubic inches
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.
It is given that:-
Diameter = 10 inches
Height = 8.3 inches
Volume=?
Since the feeder is cylindrical so the volume will be calculated as:-
[tex]\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\[/tex]
V=651.88 cubic inches
Hence volume of the red bird feeder will be equal to V=651.88 cubic inches
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There is some algebra in it I think! Thanks!! (I’ll add extra points and brainly just ask:)
Answers
Answer:
C. 27
Step-by-step explanation:
27 + 23 = 50
:)
Answer: hii :)
i know this oneeeee ^^ your answer is 27 <3
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
hopefully this helps you
- Matthew ~
Find the vertex of the parabola y=x^2 + 5x + 10
Answers
The coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].
What is the vertex of a parabola?Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.
The given equation of parabola is [tex]y=x^2 + 5x + 10[/tex].
To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.
So, write the equation of parabola in its standard form as,
[tex]y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2[/tex]
The standard form of parabola is,
[tex]y-b=(x-a)^2[/tex] where (a, b) is the coordinate of the vertex.
So, by comparing the equations, the vertex of the parabola will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].
Therefore, the coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].
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Graph the function y = x+2+5. Which point lies on the graph?
A-
(-2,5)
B-
(3,6)
C-
(7,6)
D-
(0,5)
Answers
Answer:
A
Step-by-step explanation:
Given equation :
y = x + 2 + 5y = x + 7Evaluating the options
A (-2, 5)
5 = -2 + 75 = 5Correct!Find the volume of this please
Answers
Answer: 436.8
Step-by-step explanation:
Please help I am struggling really bad thank you so much
Answers
Answer:
1) A
2) A
3) C
Step-by-step explanation:
Answer: B, A, A
Step-by-step explanation:
I'm not 100% sure this is the answer sorry if I'm wrong
The right circular cylinder represented below has a base radius of
3 centimeters and a height of 12 centimeters.
12 cm
3 cm
the right circular cylinder in cubic
Answers
Answer:
108π
Step-by-step explanation:
volume of a cylinder = πr²h , where r = radius and h = height
given values
radius = 3height = 12==> plugging in given values into formula
V = πr²h
r = 3 , h = 12
V = π(3²)(12)
==> evaluate exponent
V = π(9)(12)
==> multiply 9 and 12
V = 108π
Please help with the problems
Answers
3. B ; 160
4. D ; 72
5. C ; 16 Pounds
Explanation:
3 : 240 - 80 = 160
4 : Just replace the W with all the options and see which fit and that equals 12.
5 : 44 - 28 = 16
Answer:
3) B. 160
4) D. 72
5) C. 16
Step-by-step explanation:
3) 240 - 80 = 160
4) 12 = w/6
w = 6*12
w = 72
5) 44-28 = 16
A graph that uses bars of various heights to represent the frequencies.
a. Histogram
b. Pie graph
c. Bar graph
d. Picto graph
Answers
A graph that uses bars of various heights to represent the frequencies is a Histogram
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.
Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram
================================
[tex] \large \sf \underline{Question:}[/tex]
A graph that uses bars of various heights to represent the frequencies.
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]
================================
[tex] \large \sf \underline{Explanation:}[/tex]
A graph that uses bars of various heights to represent the frequencies is called Histogram
A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.
================================
PLEASE HELP I NEED QUICK!!!
Answers
3/4 cups of dry rice can make 3 cups cooked rice
1 cup dry ice can make
3÷3/43×4/34cupssolve by completing the square
Answers
Step-by-step explanation:
[tex] {x}^{2} + 2x - 2 = 0[/tex]
Now Adding three on both sides we get
[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]
[tex] {x}^{2} + 2x + 1 = 3[/tex]
[tex] {(x + 1)}^{2} = 3[/tex]
Find it please and give a step by step explanation. Thank you
Answers
Please see attached question 3 of 25
Answers
Answer:
2(3x + 4)
Step-by-step explanation:
to solve this equation you can distribute the two throughout the equations
an easy way to see which one is correct is to check the symbols and what they multiply to
the first expression is obviously wrong as it has a negative symbol
we can now look at the second to last ones
the third one is wrong because 4x and 2 multiply to 6x
the last one is wrong because 2 and 8 do not multiply to 8
the answer is the third one
Help!
The length and width of a wooden box are shown above. If the volume
of the wooden box is 64 cubic inches, what would be the height
Answers
Answer:
2 inches is the height of the box.
Step-by-step explanation: