Answers
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)Related Questions
Can anyone help me please I am so confused and stuck so please help
Answers
The answers are B and D.
Find uw if vw= 5/8 in
Answers
Answer:
4/8, which reduced is 1/2. Final answer!
Step-by-step explanation:
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SADE :)
XD
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answers
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
Need help don’t like math help
Answers
Answer:
$21.81
Step-by-step explanation:
add the reduced number to the new number
Answer:
21.81
Step-by-step explanation:
add 1.05 to 20.76
20% of
games is 8 games
Answers
Answer:
games is 40
Step-by-step explanation:
you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!
The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.
Answers
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
3 and 4 guys! Please help! I suck at this
Answers
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
Help!
Please show work
Answers
Answer:
131°
Step-by-step explanation:
to find the total degrees of this polygon, we use the equation
=> n - 2 × 180° (n= number of sides)
5 - 2 × 180° = 540°
now by using angle sum property,
540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°
540° = 409° + [tex]x[/tex]°
[tex]x[/tex]° = 540° - 409°
[tex]x[/tex]° = 131°
Which of the following is NOT one of the angle measures?
Answers
I believe that 95 isn't one of the measures
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answers
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
PLSSS HELPPP MEE I WILL GIVE BRAINLIEST OR A LOT OF POINTS
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c is your answer hope it helps you
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answers
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
5 numbers :
mode = n median= n+1 mean = n+2 Range = n+3
find 2 sets of numbers
Answers
Answer:
3,3,4,6,6
4,4,5,6,7
5,5,6,6,8
Step-by-step explanation:
mode = n
median= n+1
mean = n+2
Range = n+3
let sets:
a,b,c,d,e
mode = n, at least two of them are the same and equal to n
n,n,c,d,e
median belong to the set, in ascending order:
n,n,n+1,d,e
which means d,e ≥ n+1, d≠e
mean is n+2
5(n+2)=n+n+n+1+d+e
2n+9=d+e
Assume e is the maximum:
Range is n+3:
e-n=n+3
e=2n+3
d=6≥n+1
n≤5,
Set is n,n,n+1,6,n+3
n+1≤6≤n+3
3≤n≤5
3,3,4,6,6 bimodal
4,4,5,6,7
5,5,6,6,8 bimodal
|x+3| x>5
now can you plz just give the answer
Answers
Answer: I would love to help you but I am confused on what you mean by the question.
Step-by-step explanation:
The question is in the photo. Please answer with the correct answer.
Answers
Answer:
18ft
Step-by-step explanation:
just add all the sides. since it’s a rectangle, you there is 2 sides that’s 3ft long and that are 6ft long. so you would do 3+3+6+6
Explanation: 3x6=18
In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11
Answers
Answer:
Population of wolves in 2016 = 23
Step-by-step explanation:
Equation of the line of best fit has been given as,
y = 1.5x - 1
Here, y = population of a pack of wolves
x = duration (in years) since year 2000
Duration between year 2000 and 2016 = 16 years
Now we substitute the value x = 16 in the equation of line of best fit,
y = 1.5(16) - 1
y = 24 - 1
y = 23
Therefore, population of wolves in 2016 = 23
Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25
Answers
Answer:
Step-by-step explanation:
I=Prt
I=350(0.025)3
I=$26.25
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answers
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
I need the answer please
Answers
Answer:
missing angle = 41, b. 45, c. 72
Step-by-step explanation:
A circle has 360 degrees, so add all of the existing angles
48+45+129+97 = 319 and 360-319 = 41
25/200 = 12.5% so 12.5% of 360 = .125x360 = 45
Sector 129 represents 129/360 = 35.83% so 200x.3583=72 cars
how do i simplify this problem?
Answers
Answer:
[tex]9x \frac{19}{4}[/tex]
Step-by-step explanation:
Given Expression:
[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]
Simplification:
[tex]9x\frac{19}{4}[/tex]
Which points are the vertices of the ellipse?
points G and H
points J and K
O
points L and N
• points M and N
Answers
Answer:
your answer is point g and h
Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.
Answers
The rational and the irrational numbers together are called whole numbers. true or false
Answers
the answer is false
Step-by-step explanation:
natural numbers and zero are whole numbers
A trapezoid has an area of 200 square inches
The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.
A. 11in²
B. 11in
C. 12.5in
D. 12.5in²
Answers
Answer:
B 11in
Step-by-step explanation:
Area of trapezoid is
[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]
The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h
Answers
please this is quiz due in a hour ill up the points
Answers
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?
Answers
Answer:
I think 7
Step-by-step explanation:
By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...
please help! Brainliest answer! thank you!1
Answers
Answer:
I think it's A
Step-by-step explanation:
because none of the others appear to be correct
Answer:
A. AB = CB
Step-by-step explanation:
If you compare all the lines shown, you can see that options B,C and D are all incorrect, therefore, the last remaining option, option A, is correct.
A. AB = CB
Hope this helps :)
The ratio of yellow flowers to the total number of flowers in a bucket is 5 to 9. How many flowers are yellow if there are 45 lowers in all
Answers
Answer:
There are 25 yellow flowers.
Step-by-step explanation:
The ratio is yellow/all and 5/9.
We know that all the flowers in total equal 45, which is a multiple of 9.
So 45 divided by 9 = 5.
So all I had to do was multiply 5/9 times 5/5.
So then we get the ratio of 45 total flowers with 25 yellow flowers.
Hope this helps!
Joey has 10 pairs of socks in his drawer. seven of them are white. what percent of colored socks does joey have?
Answers
I’m pretty sure it’s 30%
Answer:
30% of Joey's socks are colored.
Step-by-step explanation:
7/10 x 10
= 70/100
100-70= 30%