The point P is on the unit circle. If the y-coordinate of P is -3/7
and P is in quadrant IV, then
T=
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Answer: [tex]\bold{x=\frac{2 \sqrt{10}}{7}}[/tex]
Step-by-step explanation:
[tex]\text { Let } p=\left(x,-\frac{3}{7}\right) \text { as given } y \text {-coordinate is }=-\frac{3}{7}[/tex]
[tex]r=1 \ \ \text{(as $p$ is on unit circle)} \\$$\therefore x^{2}+y^{2}=1^{2}[/tex]
[tex]\begin{aligned}&\Rightarrow x^{2}+\left(-\frac{3}{7}\right)^{2}=1 \Rightarrow x^{2}=1-\frac{9}{49}=\frac{40}{49} \\&\Rightarrow x^{2}=\pm \sqrt{\frac{40}{49}} \Rightarrow x=\pm \frac{2 \sqrt{10}}{7}\end{aligned}[/tex]
[tex]$$Since the point is in quadrant $4$ $\therefore \text{the} \ x$-coordinate will be positive$$\therefore x=\frac{2 \sqrt{10}}{7} \text$$[/tex]
Related Questions
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
Answers
The pair of algebraic expressions which are like terms is; 20x and 0.8x.
What are like terms?Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.
check all options:
20x, 0.8x
same variable and exponent
17, 3x
Not same variable
14x, 14x²
Same variable, not same exponent
0.5x, 0.5y
Not same variable
On this note, it follows that the terms 20x and 0.8x are like terms.
Read more on like terms;
https://brainly.com/question/480769
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answers
Answer: B
Step-by-step explanation:
Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15
Answers
Answer: C
Step-by-step explanation:
This is a Pythagorean triple.
A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?
A. reflection
B. rotation
C. dilation
D. translation
Answers
Answer:
C. dialtion
Step-by-step explanation:
A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.
A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.
A rotation would simply rotate/turn the shape. The dimensions would not be changed.
A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.
Therefore, we can conclude that option C makes the most sense.
hope this helps!
Write the standard equation for the circle center (6, 7), r = 9.
Answers
Answer:
[tex](x-6)^{2} +(y-7)^{2} =81[/tex]
Step-by-step explanation:
The general equation for a circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius
Plug in the (6,7) for the center and 9 for r
help me please i am so confused please
Answers
Answer: 75$
Step-by-step explanation:
1/4 is equal to 25/100.
meaning that 1/4 is 25 out of 100.
Based on that, if we subtract 25 from 100 we get 75.
A bowl contains 7 white pebbles and 11 black pebbles. A pebble is chosen and not replaced, then another pebble is picked. What is the
probability that the first one is a white pebble and the second one a black pebble?
O a
7
18
Ob
11
18
Ос
11
17
Od
77
306
Answers
Answer:
17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16
f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly
Answers
Answer:
refer to this image here:
hope this helps :)
We will use graphical way to solve it
y=-3x-23y=3x+25Graph it
Solution is
(-8,1)Pls help and explain it
Answers
Answer:
→ Compare the 2 grade A's
School B's is higher
→ Compare the 2 grade B's
School B's is higher
→ Now formulate a brief response
School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades
what is the formula of equilateral triangle .class-8
Answers
Answer:
Step-by-step explanation:
The perimeter of an equilateral triangle is:
P = 3a (where a any length of the triangle)
The area of an equilateral triangle is:
[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)
Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:
[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]
Then three important formulas are
[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)
[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]
[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]
Juanita a talented artist. She makes and sells t-shirts showing her art work.
She bought a silk screen machine for $400. The materials to make each shirt
cost her $ 8.00. If she sells her shirts for $28, how many shirts must she sell to
make a profit?
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Answer:
answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder
Step-by-step explanation:
answer is 436 I hope it helps
I need this answered
Answers
Hey ! Buddy
Question : -Find the value of x .
Given : -Angle 1 = x°Angle 2 = 43°Angle 3 = 36°To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .
So Our Solution Starts From Here :As we know that sum of all the three interior angles of triangle is equal to 180° . So ,
[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]
Now , substituting values of Angle 1 , 2 and 3 :
[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]
Now , adding 43 and 36 in right hand side :
[tex] \longmapsto \: x° + 79° = 180° [/tex]
Now , transposing 79° to right hand side :
[tex] \longmapsto \: x° = 180° - 79° [/tex]
Now , subtracting 79° from 180° :
[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]
Therefore , value of angle x is 101°.#[tex] \sf{Keep \: Learning}[/tex]Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answers
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP
Answers
Answer:
4 years
Step-by-step explanation:
basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)
Thelma and louise drove 341 miles and used 15.5 gallons of gas how many miles did their car get per gallon of gas
Answers
Answer:
22 MPG
Step-by-step explanation:
The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is 22miles per gallon.
A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result
Answers
Answer:
39600
Step-by-step explanation
for the amount of minutes we'll multiply 11*60
11*60=660
for the amount of seconds we'll multiply the amount of minutes by 60 so
660*60=39600
is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0
Answers
Answer:
yes, we can write zero in the form of p/q.
[example] that is 0/3, 0/5...
Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answers
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
1. The mode is the number you see
1. most
2. least
3. first
4. don't see
Answers
Mode is the number that is shown the most.
Answer: 1. Most
A bond issued by ford on may 15, 1997 is scheduled to mature on may 15, 2097. if today is november 16, 2020, what is this bond's time to maturity?
Answers
The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.
What is the time to maturity?The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.
Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months
To learn more about bonds, please check: https://brainly.com/question/13326746
what is the volume of this?
Answers
Answer:
c
Step-by-step explanation:
Find the square. Then simplify your answer.
Answers
Answer:
4a²-8a+4
Step-by-step explanation:
[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]
[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]
[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]
What is the value of x? Enter your answer in the box.
x =
Answers
Answer: 12
Step-by-step explanation:
A straight line has a measurement of 180° so these two angles added together will equal 180°.
(10x - 20)° + (6x + 8)° = 180°
10x° + 6x° + 8° - 20° = 180°
16x° -12° = 180°
16x° = 192°
x = 12
Supplementary angles
10x-20+6x+8=18016x-12=18016x=180+1216x=192x=192/16x=12A small bus has seats for 16 passengers. Which equation can be used to find the number of passenger seats, n, in b small
buses?
A
n = 16-b
B
b = 16n
C
b = 16+n
D
n = 16b
Answers
Answer:
D, n=16b
Step-by-step explanation:
There are 16 busses, each of which can hold 16 seats. There are n of those busses.
Therefore, 16*n = the total number of seats on the busses altogether.
what is equivalent to 8x-12y+32
Answers
Answer:
C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
Step-by-step explanation:
Answer:
Yeah I got the answer
Step-by-step explanation:
C option is correct
We will have to take common like this
. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for . Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Answers
Answer:
the answer is 725.71
Step-by-step explanation:
Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?
Answers
well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]
Answer:
yes
Step-by-step explanation:
What is the measure of the missing angle?
Answers
180-75-40=65 (find missing angle)
65+x=180 (supplementary angles)
180-65=x (substitution)
115=x (simplify)
x=115 (reflexive property of equality)
Please help me and tysm!
Answers
Answer:
200
Step-by-step explanation:
156.7
since the number before the hundred is more than 4
it becomes 200
Help if you understand thanks sm
Answers
Answer:
Represents decay ( because .72 < 1 )
The amount decreases 72% each 'x' time period
Step-by-step explanation: