Answers
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x - h)^2+(y-k)^2=r^2[/tex]
where (h, k) = center and r = radius
From inspection, we can see that the center of the circle = (0, 0)
and the radius = 1
[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]
[tex]\implies x^2+y^2=1[/tex]
Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex] into [tex]x^2+y^2=1[/tex] and solve for [tex]x[/tex]:
[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]
[tex]\implies x^2+\frac{3}{4}=1[/tex]
[tex]\implies x^2=\frac{1}{4}[/tex]
[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]
[tex]\implies x=\pm\frac{1}{2}[/tex]
As point P is in quadrant 1, [tex]x[/tex] is negative, so [tex]x=\frac{1}{2}[/tex]
Related Questions
Need help ASAP please!??
Answers
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
Angles x and y are corresponding angles.
This makes the lines parallel by the converse of that theorem.
This makes it similar by the corresponding angles converse theorem.
Definition of converse
the reverse of another
The corresponding angles theorem is for the congruency of the angles by parallel lines. Here we want to see if the lines are parallel given the congruency of the angles.
We can flip the operation, checking to see if the angles are congruent, which proves that the lines are parallel.
-Chetan k
Paige is sewing a tent. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.
Answers
Find the values of x and y in the triangle below.
(Please hurry)
Answers
Answer:
x = 10.4
y = 9
Step-by-step explanation:
Suppose the triangles are similar
x/26 = 8/20 (side lengths must be proportional) cross multiply expressions
20x = 208 divide both sides by 20
x = 10.4
same goes for y
6/(6+y) = 8/20 cross multiply expressions
120 = 8y + 48 subtract 48 from both sides
72 = 8y divide both sides by 8
9 = y
helpppp pls. Rotate traingle TUV 90 degrees clockwise around the origin
Answers
I need help will give brainliest
Answers
Answer:
7 youre right, i was wrong the first time
Step-by-step explanation:
i hope this helps
4) Rotation: 90° ccw about the origin
Answers
Answer:
Graph attached
Step-by-step explanation:
Counterclockwise rule: (x, y) to (-y, x)
Hope this helps!
1 km = 0.62 mi. The distance between Lowell and Shelby is 285
miles. How many kilometers is this?
Round your answer to the nearest whole kilometer.
Answers
Answer:
459
Step-by-step explanation:
Since to find out mile to kilometer you divide the mile by 1.609 would equal 458.66304 and rounding it to the nearest whole kilometer is 459 there is you answer.
The distance between Lowell and Shelby is approximately 460 kilometres.
Given that information:
1 km = 0.62 miles
Also given the distance between Lowell and Shelby is 285 miles.
To convert miles to kilometres, use the conversion factor:
1 mile = 1.60934 kilometres
Now calculate the distance in kilometres as follows:
Distance in kilometres = 285 miles × 1.60934 km/mile
Distance in kilometres ≈ 459.7 kilometres.
Now, round the answer to the nearest whole kilometre as follows:
Distance in kilometres ≈ 460 kilometres.
Hence, the distance between Lowell and Shelby is approximately 460 kilometres.
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let a, b and c be real numbers, prove that a+b=b+a
Answers
Answer:
Check below
Step-by-step explanation:
a = 1
b = 1
a + b = b + a
1 + 1 = 1 + 1
2 = 2
A student was asked to find the volume of the solid where the
inner cylinder is hollow. She incorrectly said the volume is
954.56 in.3. Find the volume of the solid. Use 3.14 for 1. What
mistake might the student have made?
Answers
The volume of the solid is 753.6 in³
Volume
Volume is the amount of space occupied by a three dimensional figure or shape.
The volume of the solid with hole = (π * (8/2)² * 16) + (1/3)(π * (8/2)² * 9)= 954.56 in³
Volume of hole = (π * (2)² * 16) = 200.96 in³
Volume of solid = 954.56 in³ - 200.96 in³ = 753.6 in³
The volume of the solid is 753.6 in³
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Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease. I don't under stand it
Answers
Answer:
Step-by-step explanation:
40 to 20 is a 50% decrease because you are halving it
20 to 40 is a 100% increase because you are adding 100% of 20 to 20 and you get 40.
Answer:
I hope this helps :)
Step-by-step explanation:
For 20 to 40, how much are you adding to your first number (20) to get your second number (40)?
You are adding 20 to your original number, which is the same amountSince you add the same amount to your original number (100% of your original number,) it is a 100% increase.For example: a 50% increase from 20 would be adding 50% of your original number (20) to the original number (e.g. 20 + (20/2) = 30 --> 50% increase)For 40 to 20, how much are you decreasing from your first number (40) to get your second number (20)?
You are subtracting 20 from your original number, which is half of the amountSince you subtract half (50%) of your original number, it is a 50% decreaseFor example: a 50% decrease from 30 would be taking away 50% of your original number (30) (e.g. 30 - (30/2) = 15 --> 50% decrease)In this figure, 12.2% of the area is painted blue.
How much of the area is painted blue?
4 cm
1.22 cm?
O 3.05 cm
O 4.27 cm
5 cm
O 5.49 cm
5 cm PLEASE HELP ME?
Answers
Answer:
the answer is 4.27
Step-by-step explanation:
The table to the right shows the number of people living in a house and the weight of trash (in pounds) at the curb just before
trash pickup. Complete parts (a) through (c) below.
Answers
Answer:
Step-by-step explanation:
A = Find the correlation between these numbers by using a computer or a statistical calculator.
R= (0.996)
C = Suppose each house contained exactly twice the number of people, but the weight of the trash was the same. What happens to the correlation when numbers are multiplied by a constant?
(The correlation is
(0.996). The correlation coefficient remains the same when the numbers are multiplied by a positive constant.
The longer leg of a right triangle is 4 inches longer than the shorter leg. The hypotenuse is 8 inches longer than the shorter leg. Find the side lengths of the
triangle.
Answers
Answer:
lengths are 12, 16, and 20
Step-by-step explanation:
let 's' = length of smaller leg
let '4+s' = length of second leg
let '8+s' = length of hypotenuse
Now use the Pythagorean Theorem: a² + b² = c²
s² + (4+s)² = (8+s)²
s² + 16 + 8s + s² = 64 + 16s + s²
2s² + 8s + 16 = 64 + 16s + s²
subtract s² from each side:
s² + 8s + 16 = 64 + 16s
subtract '16s' from each side:
s² - 8s + 16 = 64
subtract 64 from each side:
s² -8s - 48 = 0
factor:
(s+4)(s-12) = 0
's equals -4 and 12 but -4 is discarded as a length so smallest side is 12
When 30% of a number is added to the number, the result is 156. what is the number?
Answers
Answer: 120
Step-by-step explanation:
Let the number = x.
Setting up the equation, we get
x+0.3*x = 156
1.3x = 156
x = 120
Answer:
120
Step-by-step explanation:
x= the number
x+0.3*x = 156
1.3x = 156
x = 120
hope this helps
Pls help me I will give brainliest
Answers
Answer:
A’(5,-5)
B’(2,-4)
C’(4,-2)
Step-by-step explanation:
Reflecting the points across the y axis will be making the x values opposite, so the new points will be:
A(5,5)
B(2,4)
C(4,2)
A reflection across the X axis will be making the Y values opposite so the new points will be:
A’(5,-5)
B’(2,-4)
C’(4,-2)
A van is delivering sacks of potatoes to two different shops in the ratio of 3:7.
One shop has 28 more bags than the other.
How many bags of potatoes are on the van at the start.
Answers
69
How many bags of potatoes are on the van at the start.
The total number of bags the van have at the starting is 70.
What is ratio?Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
According to the given question.
The sacks of potatoes delivered in two different shops are in the ratio 3:7.
Also, one shop has 28 more bags than the other.
Let the number of bags of potatoes at one shop be x.
Then, the bags of potatoes in another shop = x + 28
Therefore,
[tex]\frac{x}{28 + x } =\frac{3}{7}[/tex]
⇒ [tex]7x = 3(28 + x)[/tex]
⇒ [tex]7x = 84 + 3x[/tex]
⇒ [tex]4x = 84[/tex]
⇒[tex]x = 21[/tex]
So, the total number of bags
[tex]=x + (x + 28)[/tex]
[tex]=2x + 28[/tex]
[tex]= 2(21) + 28[/tex]
[tex]= 42 + 28[/tex]
[tex]= 70[/tex]
Hence, the total number of bags the van have at the starting is 70.
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72a²-48a+8 cross multiplication
Answers
Answer:
67
Step-by-step explanation:
72 times 72
minues 42a plus 8a
What will be the remainder after dividing 662,622 by 19?
16
19
166
92
42
Answers
Answer:
[tex]19 \sqrt{662622 = 34874 \: remainder \: 16} [/tex]
34874 rem 16
If one card is drawn from a deck, find the probability of drawing a 4 or a spade,
Express your answer as a fraction, reduced to lowest terms,
Answers
Answer:
4/52 for drawing a 4 and 13/52 for drawing a spade from a deck
Which ordered pair is the solution of the system of linear equations?
1(-4,-2)
2(-4,2)
3(-2,-4)
4(2,4)
Answers
Answer:
[tex] - 4 \: and \: 2 \\ [/tex]
Step-by-step explanation:
[tex]\\ where \: the \: lines \: touch \: on \: \\ the \: y \: axis \: and \: the \: x \: axis [/tex]
Inequalities number line
Answers
Answer:
1.
x < -3
2.
x <= 5
3.
x >= 6
What is the radius of a circle whose area measures
530.66 square feet?
Use pi = 3.14 and round to the nearest hundredth.
Answers
Answer:
13
Step-by-step explanation:
refer the image attached below
Jane made sugar cookies to share with her friends. She spent 1 hour and 10 minutes making the dough and 1 hour and 30 minutes baking the cookies. Then, she spent 30 minutes decorating the cookies with icing and sprinkles. It was 2:55 P.M. when Jane finally finished all of the cookies. What time did Jane start making the cookies?
Answers
Answer:
12:15 P.M
Step-by-step explanation:
2:55 P.M - 1hr 30 min = 1:25 P.M
1:25 P.M - 1hr 10 min = 12:15 P.M
Jane started making the cookies at 12:15 P.M
Help please, I want to get a good score :D
Answers
Answer:
144in²
Step-by-step explanation:
area of a square = s²
where s = side length.
the given side length is 12 inches
so area = 12² = 144
5. What is the approximate monthly mortgage payment if the loan amount is $600,000,
the annual interest rate is 3%, and the loan duration is 30 years?
Answers
[tex]~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right][/tex]
[tex]\begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} \$600000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &30 \end{cases}[/tex]
[tex]pymt=600000\left[ \cfrac{\frac{0.03}{12}}{1-\left(\frac{12}{12+0.03}\right)^{12\cdot 30}} \right]\implies pymt=600000\left[\cfrac{0.0025}{1-\left( \frac{12}{12.03} \right)^{360}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill pymt\approx 2529.62~\hfill[/tex]
What Am I Doing Here !?
Help Please And Quickly
Answers
Answer:
Step-by-step explanation:
AS the top line progresses by 1, the bottom line progresses by 2.
So I'm going to fill in the top line from 3 to 8
1 2 3 4 5 6 7 8
3 5 7 9 11 13 15 17
The number that goes underneath the 8 is 17
Now we wonder how you get 21 in the second line
9 10
19 21
So the two answers you want are 17 on the bottom line and 10 on the top line.
Using long division to show the fraction and decimal in each pair are equal 3/4 and 0.75
Answers
Answer:
How to show that they are equal.
Step-by-step explanation:
3/4 times 25 equals 75/100 and then when you turn it into a decimal it is 0.75. That is why they are equal.
Which expression(s) represent(s)®3 times the sum of sand 4"?
Select ALL that apply.
0 (12+2)3
O 3x +4
0
(3+2)
32 + 12
03(4+2)
Answers
Describe the transformation that maps the pre-image A to the image A.
A)
translated 8 units up and then reflected across the y-axis
B)
translated 8 units down and then reflected across the y-axis
C)
translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D)
translated 1 unit to right and then rotated 180° counterclockwise about the
origin
Answers
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Tom has a rope that is 5 3/8 feet long.if he cuts 1 2/3 feet off find the length of the rope remaining (show your work)
Answers
Answer:
3 17/24
Step-by-step explanation:
= (5 - 1) + (3/8 - 2/3)
= 4 + 3/8x3/3 - 2/3 x 8/8
=4 + 9/24 - 16/24
=4 + 9-16/24
=4 + -7/24
=3 17/24
3 17/24