Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
Does this table represent a proportional relationship?
A) Yes
B) No
Answer:
a
Step-by-step explanation:
it is all doubles
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
need help with this
just focus on what the question asks and not the background
Answer:
A
Step-by-step explanation:
a drop means subtraction and rising means addition
0.75(8+e)=2-1.25e
Solve for e please
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
A triangle has a perimeter represented by the expression 9x + 7
A square has a side length represented by 4x – 3.
Which expression represents the total perimeter of the two figures?
A) 20x
B) 4x2 + 9x – 5
C) 13x + 4
D) 25x – 5
Answer:
D. 25x-5
Step-by-step explanation:
you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation:
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
how to do area for this problem
the answer is 568 in in degrees tysm
find the value of the expression below x=2 3x
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
10. What is the value of xin the equation below?
4
2
+
7
2
PLZ HELP WILL MARK BRAINLEST work out both
Answer:
3*6+5= 23
Step-by-step explanation:
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
Find the value of x
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.
Therefore we have x + 72° = 90° + 34°.
=> x + 72° = 124°, x = 52°.
Hence the value of x is 52°.
lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
3x² ×2x³
help please
Hope you have a good day!〜
Also please tell me if I'm wrong or not...
Also also if I'm right can I please have Brainliest?
.
2. 4x + 5y = -30
Slope-standard form
A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego
Answer:
Workers in San Diego = 260 workers
Step-by-step explanation:
Total workers = 480
Number of offices = 3
In each office in different cities
New york = 90 workers
Denver = 130 workers
San Diego = x workers
Find x
Total number of workers = workers in New York + workers in Denver + workers in San Diego
480 = 90 + 130 + x
480 = 220 + x
480 - 220 = x
260 = x
x = 260 workers
Workers in San Diego = 260 workers
Answer:
Step-by-step explanation:
250
19/10 equals x - 23/6
Please help me quickly!!!
Answer:
7 17/60
Step-by-step explanation:
you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover
Which price is equivalent to $1.50 for 1 pound of apples?
A.. 6 pounds of apples for $9
B..8.5 pounds of apples for $9
C..9 pounds of apples for $9
D..13.5 pounds of apples for $9
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)