Answers
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Related Questions
What is the slope of any line parallel to the y-axis in the
(x, y) coordinate plane?
F. -1
G. O
H. 1
J. Undefined
K. Cannot be determined from the given information
Answers
Answer:
A line parallel to the y-axis in the (x, y) coordinate plane is undefined.
Hence, option J is correct.Step-by-step explanation:
We know that the slope of a vertical line on a coordinate plane is undefined.
We also know that a line parallel to the y-axis is basically a vertical line.
Therefore, a line parallel to the y-axis in the (x, y) coordinate plane is undefined.
Hence, option J is correct.EXAMPLE
For example, considering the two points of a line
(x₁, y₁) = (1, 3)
(x₂, y₂) = (1, 5)
Determining the slope between (1, 3) and (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [1 - 1]
= 2/0
= ∞ or undefined
Thus, the slope of the line = m = undefined
Thus, the equation of a line parallel to y-axis passing through the points (1, 3) and (1, 5) will be:
x = 1Please also check the attached graph.
Solve.
7 pounds x 16 ounces =
pounds plz hero
Answers
1. Prakrit bought a pack of paper for $5.69
and printer toner for $9.76. He paid with
a $20 bill. What was his change?
Answers
Answer:
$4.55
Step-by-step explanation:
20-5.69-9.76=$4.55
Mrs. Corazza paid $38.64 to fill up 12 gallons of gasoline in her car. What is the price for 1 gallon of gasoline?
Answers
Thus
You pay $3.22 for 1 gallon.
Below are two solutions for finding BC. Which is incorrect? Explain the error
A. B.
DE = 0.5 BC BC = 0.5 DE
47 = 0.5 BC BC = 0.5 (47)
94 = BC BC = 23
Will mark BRAINLIEST !!!!!!!
Answers
Step-by-step explanation:
yfsycdhfvjcdkjfulggktndrkjdhhdymvsj
Question Help
Marsha deposited $5,500 into a savings account 2 years ago. The simple interest rate is 4%. How
much money did Marsha earn in interest?
Substitute the values into the equation.
Answers
The earned $440 in interest depositing $5500 for 2 years at 4% rate of interest.
What is simple interest?
We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Given, Marsha deposited $5,500 into a savings account 2 years ago at 4% simple interest.
So, p = 5500, r = 4 and t = 2.
Therefore,
SI = (5500×4×2)/100.
SI = 440.
So, Marsha earned $440 in interest.
learn more about simple interests here :
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Can someone please help me with this? Thank you!
Answers
Answer:
it's too blury i can't see
Step-by-step explanation:
WILL GIVE BRAINLIEST TO YOU!!! I have two equations, Equation A and Equation B. When I try to solve the system, I get no solution. What can you tell me about the graphs of Equation A and Equation B?
I have two more equations, Equation C and Equation D. When I solve this system, I get infinitely many solutions. What can you tell me about the graphs of Equation C and Equation D?
Answers
For the 1st one, the equations never intersect. There is only 1 case where the lines never intersect and that is when they are parallel. So the 1st one is that they are parallel. A and B are parallel when graphed.
For the 2nd one, the lines are always intersecting. This means that C and D are the same line when graphed.
Answer:
see explanation
Step-by-step explanation:
The solution of equations given graphically is at the point of intersection of the 2 lines.
No solution indicates that there is no point of intersection, thus the graph of A and B are parallel lines which never intersect.
B
Infinitely many solutions indicates that the graph of C and D lie on the same line.
Which is the solution to the inequality 2 3/5 < b -8/15
A. b < 2 1/15
B. b > 2 1/15
C. b < 3 2/15
D. b > 3 2/15
Answers
Answer:
D. b > 3 2/15
Step-by-step explanation:
Victoria is remodeling her house and she decides to paint a wall. She was able to cover 478.3 inches with the paint that she had. She figures out that this is only 92% of the total wall. How much space, in inches, does she have to paint total, including what she has already painted?
Answers
S x .92 = 478.3
divide both sides of the equation by .92 to solve for S...
S = 519.89
I need help with this question..
Answers
Answer:
you have to right how aed and acd are simaler
Step-by-step explanation:
you should draw the triangle and define the AED and ACD and compare and contrast.
What is 3/4 of 40?
This is 5th grade level it’s for my sister and I don’t really remember this.
Answers
Answer:
30
Step-by-step explanation:
there's a few different ways of solving this:
1)3/4 = 0.75
0.75 * 40
30
2)
divide 40 by 4 and then multiply by 3
40/4
10
10 * 3
30
3)
[tex]\frac{3}{4} *\frac{40}{1}[/tex]
the 4 and 40 cancel out
[tex]\frac{3}{1}* \frac{10}{1}[/tex]
3 * 10 = 30
[tex]\frac{30}{1}[/tex] = 30
the product of y and 38,, divided by 2
Answers
Answer:
I say that its 19 i think
Step-by-step explanation:
Answer:
(y×38)÷2
Step-by-step explanation:
I don't k if this is the answer you're looking for, but hope this helps!
. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?
Answers
Answer: 1 hour 15 minutes
Step-by-step explanation:
From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:
= 5 × 30 minutes
= 150 minutes
= 2 hours 30 minutes
Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:
= 5 × 45 minutes
= 225 minutes
= 3 hours 45 minutes
We then calculate the difference in their exercise per week which will be:
= 3 hours 45 minutes - 2 hours 30 minutes
= 1 hour 15 minutes
I REALLY NEED HELP WITH THIS!!! WILL GIVE BRAINLIEST!!!!!!!!!
A teacher conducts a survey of 70 students. She asks students about their favorite sport and about their favorite subject in order to determine the number of students who like English or volleyball. Some of the results are shown in the table.
What is the percentage of students in the survey whose favorite subject is English or whose favorite sport is volleyball?
Answers
What shod be in the box 3/10 × (box)=1
Answers
Answer:
0.333333333
Step-by-step explanation:
0.333333333×0.3=1
3/10=0.3
Write an equation that represents the line.
Use exact number ?
Answers
Answer:
what have we nothing to go buy
Answer:
y=(-4/3)x+2
Step-by-step explanation:
we have two points (3,-2) and (0,2) given from the statement
the equation of the lines is:
y=mx+b
m=slope
m=(y2-y1)/(x2-x1)
m=(2-(-2))/(0-3)
so we have the slope is
m=4/-3 =-4/3 =-1.3333
we need to find "b"
using the point (0,2)
we have :
2=m*0+b
2=b
finally, we have
the answer is y=(-4/3)x+2
what's the answer to -2/-5x=10
Answers
Step-by-step explanation:
[tex] \frac{( - 2)}{( - 5x)} = 10 \\ \\ \frac{2}{5x} = 10 \\ \\ 2 = 10 \times 5x \\ 2 = 50x \\ \\ x = \frac{2}{50} \\ \\ x = \frac{1}{25} [/tex]
( -5x÷(-5)=10÷(-5)
x=-2
Can someone plz help me asap
Answers
Answer:
y = 12x - 9Step-by-step explanation:
Given
- 1/3y + 4x = 3Multiply all terms by -3
y - 12x = -9Add 12x to both sides
y = 12x - 9the number 18 is which percent of 15?
A 80%
B 83%
C 117%
D 120%
Answers
Answer: D 120%
Step-by-step explanation:
What is the GCF Of 292 and 219
Answers
I need help with Geometry
Answers
Answer:
180 degrees since only two opposite sides are congruent in a rect, which would require you to flip it 180 degrees for it to map onto itself
Answer: 180 degrees
Imagine you had a long and flat rectangle. If we spin it around the center, we can rotate it 180 degrees so it lines up with its original image. The before and after is the same. We say it has rotational symmetry, and the angle of rotation is 180 degrees. This is the smallest rotational angle possible for rectangles that aren't squares.
when you flip a biased coin the probability of getting a tail is 0.2. How many times would you expect to get tails if you flip the coin 180 times?
Answers
Answer:
Step-by-step explanation:
T : H
2 : 10 = 12 [ 180/12 = 15]
30: 150
30/ 150 x 100 = 20 Percent chance of Tails
HEREEE lol!!<3! Xbnxxjzn
Answers
Answer:
hope it helps
Step-by-step explanation:
.............
Find the sum of −(23)x−8 and 35x−4 .
Answers
Step-by-step explanation:
֊23x-8+35x-4=12x-12
hshsusbsusbwhw
Answer:
-1/15x-12
This is right, I even double checked it! ; )
Hope this helped!
Thanks!
Plz give me brainliest!
BASKETBALL The standard width of a high school basketball court is 50 feet. If 1 meter = 3.3 feet, what is the width of the basketball court in meters? Round to the nearest tenth, if necessary. 0.066 meters Check Answer Done and RC 2021 McGraw-Hill Education. All Rights Reserved. Privacy and Cookies | Terms of Use | Minimum Requirements | Platform Status
Answers
Answer:
15.2 meters
Step-by-step explanation:
50 ÷ 3.3 = 15.15
1 meter= 3.3 feet, so when BASKETBALL The standard width of a high school basketball court is 50 feet. then width is 15.15 meters of the basketball court in meters.
What is 1 meter in feets?1 meter= 3.3 feet
Given width of high school basketball is 50 feet and1 meter = 3.3 feet.,
We need to find the value of 1 feet.
1 feet= 1meter/3.3
1 feet=0.3030
Now to calculate 50 feet , we need to multiply 50 with 1 feet.
50*0.3030=15.15Meters
Therefore 15.15 meters is the width of the basketball court in meters.
To learn more on Feet and Meter click: https://brainly.com/question/20547840
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If you have 1000 dollars Canadian how many do you have American? Explain
Answers
Answer:
787.27 USD
Step-by-step explanation:
ace autos sells cars and pay sue each month
Answers
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
Write a linear equation in point slope form when given the point (2,3) and a slope of 2/3.
Please help
Answers
Answer:
76
Step-by-step explanation:
hey bestie
WILL GIVE BRAINLIEST help me with this question pls:)
Answers
Answer:
45.5
Step-by-step explanation:
4x-2=180
4x=182
x=45.5
Answer:
45.5
Step-by-step explanation: