Answer:
Points A and C are on the unit circle
Step-by-step explanation:
The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.
In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.
A. ( 5/13, 12/13)
[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]
Since the sum of the squares is 1, the point is on the unit circle.
C. (1/3, 2/3)
[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]
Since the sum of the squares is less than 1, the point is on the unit circle.
f(x)=14−0.5xf, left parenthesis, x, right parenthesis, equals, 14, minus, 0, point, 5, x
f(30)=f(30)=f, left parenthesis, 30, right parenthesis, equals
Answer:
-1
Step-by-step explanation:
The value of the function when domain y = 30 is f ( 30 ) = -1
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 14 - ( 0.5 )x be equation (1)
Now , when the domain of the function x = 30 , we get
f ( 30 ) = 14 - ( 0.5 ) ( 30 )
f ( 30 ) = 14 - 15
On further simplification , we get
f ( 30 ) = -1
Hence , the function is f ( 30 ) = -1
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s
is inversely proportional to
t
.
When
s
=
0.6
,
t
=
4
Work out
t
when
s
=
12
0.03
Step-by-step explanation:
S ∝ t, introduce constant, if value of S depends on t only. Let that constant be 'k'.
=> S = kt
When, S = 0.6 & t = 4:
Answer
=> 0.6 = k(4)
=> 0.6/4 = k
=> 0.15 = k
Therefore, when t = 0.2
=> S = kt
= (0.15)(0.2)
= 0.03
1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.
Step-by-step explanation:
Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year
Step 1
Finding Intrest for Rs200
We have
Principal(P) = Rs 200
Rate (R) = 7%pa
Time (T) = 1year
Intrest(I) =?
We have ,
I =PTR/100
=200*7/100
=Rs 14
Step 2
Finding intrest for Rs2000
Given
Principal(P)=Rs2000
Rate(R) =11%
Time(T) =1 year
Intrest(I) =?
We know,
I =PTR/100
=2000*11/100
= 20*11
=Rs 220
What is x>5 graph algebra
Answer:
Step-by-step explanation:
Jolie purchased a concert ticket on a web site. The original price of the ticket was $110. She used a coupon code to receive a 15% discount. The web site applied a 10% service fee to the discounted price. Jolie’s ticket was less than the original price by what percent?
Answer:
10 percent
Step-by-step explanation:
i took a test
What is the vertex for y=4x^2 -12x+2
Answer:
( 3/ 2 , − 7 )
Step-by-step explanation:
Dont worry i checked my answer two times :)
How to solve this? Please help!
Answer:
it ccccccccccccccccccccc
Step-by-step explanation:
Find the equation of the perpendicular line to 2x-5y-10=0 and containing point (-1,5)
Answer:
y = -2.5x + 2.5
Step-by-step explanation:
Put the equation into y = mx + b form by isolating y:
2x - 5y - 10 = 0
2x - 5y = 10
-5y = -2x + 10
y = 2/5x - 2
Perpendicular lines have opposite reciprocal slopes, so the line's slope will be -5/2, or -2.5
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
5 = -2.5(-1) + b
5 = 2.5 + b
2.5 = b
Plug in the slope and y intercept:
y = mx + b
y = -2.5x + 2.5 is the equation of the perpendicular line
BD bisects ABC. Find the value of x.
a.x=3/17
b.x=3
c.x=9
d.x=-3
In this figure shown, m and n are parallel lines. What’s the value x?
4.2 + 3.5 + 0.5 + 4.0
Answer:
12.2
Step-by-step explanation:
i put it in my calculator and thats what i got
25 percent of 60 students in a class failed in the test. how many students failed the test
Answer:
15 students
Step-by-step explanation:
25% = 1/4, so you can just do 1/4 of 60 or 1/4 * 60. 60/4 = 15 students.
A middle school needs buses to
transport 579 students. If each bus
carries 48 students, what is the fewest
number of buses needed?
Answer:
13 buses ml hope that helps
Answer:
13 buses
Step-by-step explanation:
There are 579 students and each bus carries 48 students so:
579 ÷ 48 = 12.1
Now you could say that only 12 buses are needed but there would be an extra student remaining so you need 13 buses.
(BRAINLIEST) and more in the description.
Confession: I suck at math lol........
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
33.8
Step-by-step explanation:
use long division
Answer:
33.8
Step-by-step explanation:
top in bottom out
5[tex]\sqrt{169\\}[/tex]
5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8
Hoped this made sense :)
The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle
Answer:
Step-by-step explanation:
let the length of a leg of right angled associate triangle=x
x²+x²=(5√6)²
2x²=150
x²=150/2=75
x=√75=5√3
Solve for x.
ASAP, please help me
need help asap please !!
Answer:
17
Step-by-step explanation:
As we know that when diagonals bisect each other it gets divided into two equal parts so
CG = CE
6z - 85 = z
6z - z = 85
5z = 85
z = 85 / 5
Therefore z = 17
Hope it will help :)
Answer:
[tex]\displaystyle 17[/tex]
Step-by-step explanation:
[tex]\displaystyle 6z - 85 = z → 85 = 5z; 17 = z[/tex]
I am joyous to assist you at any time.
WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x
Answer:
A
Step-by-step explanation:
1
1 " a number x" →x.
2
2 "less than a number x" means to subtract →x−
3
3 "8 less than a number x" means to subtract →x−8.
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.Does anyone knows the answer to these two?
Answer:
It would equal 25/38.29
Step-by-step explanation:Hope this helps!
Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)
Answer:
x = 2.411
Step-by-step explanation:
6400 = (8) (2^(4x))
Divide both sides by 8 to get;
6400/8 = (2^(4x))
800 = (2^(4x))
Using logarithms, we can solve as;
Log 800 = 4xLog 2
4x = Log800/Log2
4x = 2.9031/0.3010
4x = 9.6449
x = 9.6449/4
x ≈ 2.411
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answer: 2 rays that meet an endpoint
1. Find the length a of the altitude drawn to the hypotenuse. [Triangle is not drawn to scale.]
a
4.
16
A. a = 64
B. a = 20
C. a = 2V5
D. a = 8
ninate Education Inc.
Answer:
C.
Step-by-step explanation:
Help me find answer to this
Answer:
[tex]\angle B=41.81^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:
[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:
[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]
Calculating the inverse sine function:
[tex]\angle B=\arcsin (0.667)[/tex]
[tex]\boxed{\angle B=41.81^\circ}[/tex]
10. The community garden has 4
acres. Each garden plot is 1/3 of an
acre. How many garden plots are
there in the garden?
6th grade math
Answer:
12
Step-by-step explanation:
In four acres there are 3 gardens so you just have to multiply 4x3=12
Solve for x. Show all work for credit.
what happens to the graph when a zero is repeated vs when a zero is not repeated? Use y=(x-3)^2 and y=x-3 to explain.
Answer:
look at the screen shot
Step-by-step explanation:
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
david has car shampoo 800ml used with 1800ml of water. how much car solution should i use for 360ml?
Answer:
1800ml of water= 800 ml of car shampoo
1 ml of water = 800/1800 ml of car shampoo
360 ml of water = 800/1800 * 360 ml of car shampoo
= 160 ml of car solution
hope it helps you
Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.
Answer:
First Quadrant
Step-by-step explanation:
Quadrant I : sin, cos, tan, cot, sec, cosec
Quadrant II : sin, cosec
Quadrant III : tan, cot
Quadrant IV : cos , sec