Answers
Answer:
x = 3.5
Step-by-step explanation:
By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:
x + 8 = 3x + 1
8 = 2x + 1
2x = 7
x = 3.5
Related Questions
If
θ
θ
is an acute angle of a right triangle and
tan θ=
3
5
tan θ=35
, what is the value of
cosθ
cosθ
?
Answers
Given:
In a right angle triangle θ is an acute angle and [tex]\tan\theta =\dfrac{3}{5}[/tex].
To find:
The value of [tex]\cos \theta[/tex].
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
We have,
[tex]\tan\theta =\dfrac{3}{5}[/tex]
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
[tex]Hypotenuse=\sqrt{Perpendicular^2+base^2}[/tex]
[tex]Hypotenuse=\sqrt{(3x)^2+(5x)^2}[/tex]
[tex]Hypotenuse=\sqrt{9x^2+25x^2}[/tex]
[tex]Hypotenuse=\sqrt{34x^2}[/tex]
[tex]Hypotenuse=x\sqrt{34}[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{5x}{x\sqrt{34}}[/tex]
[tex]\cos \theta=\dfrac{5}{\sqrt{34}}[/tex]
Therefore, the value of [tex]\cos \theta[/tex] is [tex]\dfrac{5}{\sqrt{34}}[/tex].
Which functions have a vertex with a x-value of 0? Select three options
Answers
And, you can actually check this by plugging in numbers.
The vertex is at
(0,0) for f(x)=|x|
(-3,0) for f(x)=|x+3|
(6,0) for f(x)=|x-6|
Note: It would be amazibg if you could mark as brainliest, this would really help motivate me to help out more people. Thanks! :)
What is the GCF of 36x^2y and 18xy ^2?
Please i really need the answers
Answers
Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
A. ±3
B. ±1
C. ±1/3
D. ±5
E. ±1/5
Answers
The possible rational roots are (a) ±3, (b) ±1, (e) ±5
How to determine the possible roots?The polynomial function is given as:
f(x) = 5x^2 - 3x + 3
Take the factors of the first term and the last term
5 = 1, 5
3 = 1, 3
The rational root is then calculated using:
Roots =±(Factors of 3)/(Factors of 5)
This gives
Roots =±(1, 3)/(1, 5)
Solve the expression
Roots = ±1, ±3/5, ±1/5, ±3
Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5
Read more about rational roots at:
https://brainly.com/question/17754398
#SPJ1
is 8 yard, 9 yards, and 12 yards right triangle
Answers
Answer:
No
Step-by-step explanation:
you can check with the pythagorean theory
[tex]8^{2}+9^{2} =12^{2}[/tex]
64 + 81 = 144
145 = 144
this is not true, therefore those side lengths do not make a right triangle.
Please help ASAP!!!! Will give brainliest!!!
Answers
Answer: 0
Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.
Seth bought a 15 ounce jar of peanut butter for $3.15. what is the unit price?
Answers
you can round that to 26 cents :) hope that helps!
where do i put the thing at chile hempp me out
Answers
Answer:
for just chile id put it at 30 or 20
Step-by-step explanation:
We’re moving it up 25 clicks. It started three behind zero, so it will end up at 22 to the right of zero.
The quadrilateral shown is a rectangle. What is measure zvw
Answers
Answer:
sorry, but I think u got yr question incomplete.
stay safe healthy and happy.u can re post it with figure
anyone know how to do this?
Answers
40÷95= 0.42
so I would say about 42.1%
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Solve the following system of equations using the elimination method.
6x - 5y= -1
-6x – 4y = 10
A) (-1,-1)
B) (5,-5)
C) (-2,2)
D) (1,1)
Answers
Answer:D
Step-by-step explanation:
Step by step explanation:
CAN YOU GUYS AND GIRLS PLEASE HELP!!
Answers
Answer:
I have no idea
Step-by-step explanation:
At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?
Answers
Answer:
what they said^
Step-by-step explanation:
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
21%
What is the equivalent decimal?
Answers
Answer:
0.21
Step-by-step explanation:
Move the decimal two places to the left.
Help in class ez rly ez
Answers
Answer:
The slope is 4x
The y-intercept is -5
Slope-intercept form = y = 4x - 5
Step-by-step explanation:
I hope this helps.
Answer:
mark lazyboss330 as brainliest :D
why havent u been active for like a month? :c
I'm thinking of a number. If you multiply it by four and then add 13 you will get 37. What is my number?
Answers
Answer: 6
Step-by-step explanation: subtract 13 from 37, you get 24. divide 24 by 4.
pls help hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
Step-by-step explanation:
d
Write an equation where x = 8.
Answers
Answer:
x (23+12)= 280
Step-by-step explanation:
X=8
add 23 plus 12 which equals 35
then multiply 35 by 8
Hope it helps
Answer:
-x + 39 = 31
Step-by-step explanation:
You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:
x = 8
I still don’t understand this very well I don’t know how to set up the equation. Pls help?
It’s trigonometry
Answers
Answer:
[tex] \displaystyle x \approx 47.44[/tex]
Step-by-step explanation:
we are given a right angle triangle
we want to figure out x i.e hypotenuse
in order to do so we can consider trigonometry i.e sin
remember that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]
given that,theta=21° and opp=17 and hypo=x
Thus substitute:
[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]
cross multiplication:
[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]
divide both sides by sin21°:
[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]
By using calculator we acquire:
[tex] \displaystyle x \approx 47.44[/tex]
two numbers are in the ratio 2:5. If 6 is subtracted from their sum, the result is 50. what is the larger number
Answers
Answer:
(2x+5x)-6=50
7x =56
x=8
5>2, so 5 is the bigger one
5*8=40
the answer is 40
Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account paying an interest rate of 2⅝ % compounded continuously. To the nearest dollar, how much money would Nevaeh have in her account when Paisley's money has tripled in value?
Answers
Answer:
[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]
Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8
Answers
Given:
The expression is:
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
Write the mixed fractions in the form of improper fractions.
[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]
[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]
[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]
Taking LCM, we get
[tex]=\dfrac{2(-25)-17}{8}[/tex]
[tex]=\dfrac{-50-17}{8}[/tex]
[tex]=\dfrac{-67}{8}[/tex]
Now write this improper fraction in the form of mixed fraction.
[tex]=-\dfrac{64+3}{8}[/tex]
[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]
[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]
[tex]=-8\dfrac{3}{8}[/tex]
Therefore, the correct option is B.
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
What is the price per ounce for the regular bar?
What is the price per pound of the gigantic bar?
Answers
Answer:
An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.
Step-by-step explanation:
What is the measure of
Answers
Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)
Answers
Answer:
8 meters
Step-by-step explanation:
To find the perimeter follow these steps:
1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters
2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters
3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters
Have a fantastical day!
My teacher took off points because I puter meters per second and not meters/second. Are these not the same thing?
Answers
Answer:
No
Step-by-step explanation:
Meters per second is how many meters in one second
meters/second is meters divided by one second
Hope this helps you understand better!
It is the same but the teacher may be trying to get you to put it that way for future math problems.
Which equation describes the line that passes through the
point (1, 6) and is parallel to the line 2x + y = 3?
A 2x-y=13
B 2x + y = 13
C 2x - y = 8
D 2x + y = 8
Answers
The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answers
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
whoever gets it right gets 10 points and brainliest!
Answers
Answer:
92 in
Step-by-step explanation:
just break it down into parts
Answer: 92in²
Step-by-step explanation: area of shaded region=9×12-4×4=92in²
PLEASE HELP ME ASAP
ITS IN SQUARE FEET NO GUESSES
Answers
Answer:
d should be correct
Step-by-step explanation:
why my answer beacuse i see 4in in the painted area