For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
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
Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 
are you a robot cause i think you are
Mortgage loan of $46,000.00.
Interest rate is 5 percent.
Monthly payment is $269.10.
How much of the first monthly payment is for interest?
Answer: $191.67
Step-by-step explanation:
When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.
The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.
This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:
= 5% / 12
= 5/12%
Interest = Mortgage remaining * interest rate
= 46,000 * 5/12%
= $191.67
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
If angle A is 80 degrees, Angle B is 50 degrees, and Angle C is 10X. What is the value of “X”?
Answer:
x=5
Step-by-step explanation:
the sentimental thing is that Jen's mother is the most common person in a row with
V Find the value of x in the triangle. 55° 629 c. 63
Answer:
Be clear with your question please
Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.
On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.
Which statement about Aimee’s graph is true?
Aimee’s graph is correct because the ratio Two-thirds is to 1 is equal to 2:3, which her graph shows in each point.
Aimee’s graph is incorrect because the ratio Two-thirds is to 1 is equal to 3:2, so she should have switched her points.
Aimee’s graph is correct because it shows 3 inches of plant growth every two weeks.
Aimee’s graph is incorrect because it shows 2 inches of plant growth with each point instead of Two-thirds of an inch.
Answer:
It's C
Step-by-step explanation:
I got a 100% on edge, have a delightful day Chicos y chicas!
Answer: A
Step-by-step explanation:
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
Can anyone help me with this I need ASAP
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
Please help me on this and thank you!
Answer:
D
Step-by-step explanation:
We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.
2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x
Our final answer is 1/3x - 5
There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children?
Answer:
alot
Step-by-step explanation:
Answer:
Step-by-step explanation:
The ratio of adults being 5:3 means that you should first divide the audience into 8 sections. You get 18. Now, you can multiply 18 by 5 to find out how many adults there are, since 5 means quantity of adults.
There are 90 adults
On a certain hot summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that day?
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
math is hard im not sure for this
Answer:
c. 39 miles per hour
Step-by-step explanation:
If you look at the graph, each hour has a marking of an interval of 39, starting at (1,39).
(hope this helps-and math gets better)
a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?
Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour
bottle 1: $2.97/100 oz = unit rate
bottle 2: $5.78/200 oz=unit rate
BOTTLE 1 =0.0297
BOTTLE 2 =0.0289
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
answer this guys.....
9514 1404 393
Answer:
(b) 25 cm²
Step-by-step explanation:
The ratio of areas is the square of the ratio of linear dimensions.
ar(ΔABC)/ar(ΔDEF) = (AB/DE)² = (1/2)² = 1/4
Then ...
ar(ΔABC) = (1/4)(100 cm²) = 25 cm² . . . . . multiply by ar(ΔDEF)
The area of ΔABC is 25 cm².
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
reminder: perimeter is distance around an object- length + width + length + width
12 inches
15 inches
21 inches
40 inches
Answer:
15 inches
Step-by-step explanation:
42 = 2L + 2(6)
first, we need to isolate L.
solve 2(6) to make this easier
42 = 2L + 12
42 - 12 = 2L + 12 - 12 ( this cancels out 12. )
30 = 2L
30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )
15 = L
Select the correct answers. Which two words or phrases indicate a cause and effect relationship? O first of all O likewise O for this reason O before because
PLEASE HELP ASAP
Answer:
D. because
Step-by-step explanation:
ok
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
NEED NOW PLZ !!!!!!!!!!!!!!!!!!!!!!1
What is the area of the trapezoid?
Answer:
it 40 :)
Step-by-step explanation:
Answer:
1476
Step-by-step explanation:
y= -5/3x + 3
y= 1/3x - 3
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
Make x the subject of the formula
X
y = x/a+b
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
Find the slope of the line that passes through (4, 1) and (10, 6).
Answer:
5/6
Step-by-step explanation:
The equation for slope is
(difference in y) / (difference in x)
So:
6-1/10-4
5/6
So the slope is 5/6
