Answer:
[tex](x-4)^2+(y-7)^2=125[/tex]
Step-by-step explanation:
1) Find the radius
To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (4,7) and (-7,9)
[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]
Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.
2) Plug all data into the circle equation
Equation of a circle (not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]
Plug in the point (4,7) as (h,k)
[tex](x-4)^2+(y-7)^2=r^2[/tex]
Plug in the radius [tex]\sqrt{125}[/tex]
[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]
I hope this helps!
ayudenme por fis .....doy corona
Find the surface area
Answer:
here
h=4 in
r=8in
total surface area =2πr(r+h)=2π×8(8+4)=192π or 603.18in²
Please help me PLEASE and NO LINKS OR YOU WILL BE REPORTED. I need help choosing the right statements also the line plot I chose is correct so you can use it to help you.
The first one is “The greatest length is 2 inches more than the least length.”
The second is “Less than half the lures are at least 3 inches long.”
The third is “The number of lures greater than 2 1/2 inches long is less than the number of lures less than 2 1/2 inches
The fourth is “The greatest length is 2 inches.”
The fifth is “The number of lures greater than 2 1/2 inches long is equal to the number of lures less than 2 1/2.” Please help me
Answer:
why no links? also I think the answer is 5 but I'm just guessing
Answer:
g sa Bshsixuzsh- shshshakka
What is the measure of angle x? х 59: a. 120 b. II c. 121
Answer:
option (C) 121° is right answer
PLEASE HELP- John and Ariana bought school supplies. John spent $10.60 on 5 notebooks and 5 pens. Ariana spent $7.30 on 3 notebooks and 4 pens. What is the cost of 1 notebook & what is the cost of one pen? PLEASE HELP
Answer:
Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90
Step-by-step explanation:
Let,
Notebook = x
Pen = y
According to given statements;
\begin{gathered}Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40\end{gathered}Multiplying Eqn 1 by 4 andEqn 2 by 54(5x+4y=10.60)20x+16y=42.40 Eqn 35(4x+3y=8.30)20x+15y=41.50 Eqn 4Subtracting Eqn 4 from Eqn 3(20x+16y)−(20x+15y)=42.40−41.5020x+16y−20x−15y=0.90y=0.90Putting value of y in Eqn 15x+4(0.90)=10.605x+3.60=10.605x=10.60−3.605x=7Dividing both sides by 555x=57x=1.40
Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90
A rectangular fish tank is 2m long, 1m wide and 1m deep. How many litres of water will it hold?
Answer:
2000 litres
Step-by-step explanation:
find the volume
v =2m×1m×1 m
= 2 m3
1m3 =1000litres
2m3=????
cross multiply
2m3 ×1000litres
1m3
Ans = 2000litres
Which does NOT represent the interior angle measures of a triangle?
A.) 50, 750, 100°
B.) 10°, 80°, 90°
C.) 20°, 60°, 100°
D.) 45°, 45°, 45°
E.) 50°, 50°,80°
Answer:
A!! it does not equal 180 while the others do
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
An interior triangle always is 180 degrees. A. is the only answer that doesn't add up to 180 degrees.
Can someone help me?
9514 1404 393
Answer:
see below
Step-by-step explanation:
This is all about number sense: ordering and naming numbers. If you know your multiplication tables and a few key vocabulary words, that's all you need.
1a. perfect square
1b. irrational number
1c. greater than
__
2a. less than; greater than
2b. perfect square
2c. approximation
__
3a. square root
3b. square root
3c. approximation
3d. order; less than; less than
_____
When you fill in the blanks, the statements pretty much explain themselves.
__
Additional comment
For positive numbers, square and square root are operations that preserve order. That is, the square of a larger number is larger than the square of a smaller number. Likewise, the square root of a larger number is larger than the square root of a smaller number. Here, ...
81 > 64 > 44 ⇔ √81 > √64 > √44.
If a number is not a perfect square (a number multiplied by itself), then its square root is irrational.
1 Femando exercised for twenty-five and
six-tenths minutes on Thursday. He exercised for
thirty and five-hundredths minutes on Friday. He
exercised eighteen and four-tenths minutes on
Saturday. How many total minutes did Fernando
exercise those three days?
A 74.5 C 73.85
B 73.15 D 74.05
Answer all four and I’ll give BRAINLIEST...(Supplementary angles, Complementary angles, or Adjacent angles)
Answer: Answers and explanations down below.
Step-by-step explanation:
1. 90- 24= 66
m<FCG= 66 degrees
2. 24+31=55
180-55= 125
m<BCD= 125 degrees
3. 90+24=114
m<FCB=114 degrees
4. 90+66=156
m<ACG=156 degrees
Step-by-step explanation:
FCG=66°
BCD=125°
FCB=114°
ACG=156°
please hurry!! i have a D in math
Answer:
60, and m = 30, and 1 min 20.
Step-by-step explanation:
For A, the 60 is the starting point meaning that the temperature was intitally 60 degrees
For B, if we divided both sides by 2 we get the answer m = 30, meaning every minute, it was up 30 degrees.
For C, we know that in one minute it will be 90 degrees, so 60 seconds = 30 degrees. So lets divided both sides by 3 to get 10 degrees. We get 20 seconds. It will take 1 min and 20 for it to be 100 degrees.
Hopefully thats right.
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
(a) t = 1.828
(b) t = 0
(c) t = 1.735
(d) t = -1.826
Select the correct answer. Which statement is true about the y-intercept of a quadratic function? A. A quadratic function can only have one y-intercept. B. A quadratic function can have up to two y-intercepts. C. The y-intercept is also called a zero of the function. D. The y-intercept is located at the point where the value of y is 0.
Answer:
A. A quadratic function can only have one y-intercept.
Step-by-step explanation:
hope this helps. p.s. i really need brainliest :)
Answer:
A
Step-by-step explanation:
1. Which classifications describe this figure?
2. Which classifications appear to describe both of these figures?
→ Parallelogram
→ Trapezoid
→ Quadrilateral
→ Square
→ Rhombus
→ Rectangle
Answer:
parallelogram
hope this helps you ☺️☺️
Can someone please help me with this problem thank you.
Answer:
[tex]BM = 14[/tex]
Step-by-step explanation:
Given
The attached triangles
Required
Find BM
We have that:
ABC is similar to JHG
This implies that:
AB corresponds to JH
BC corresponds to HG
AC corresponds to JG
BM corresponds to HN
Hence, HN can be solved using the following equivalent ratios
[tex]AB : BM = JH:HN[/tex]
From the attachment;
[tex]AB = 21; JH = 24[/tex]
So, we have:
[tex]21 : BM = 24:16[/tex]
Express as fraction
[tex]\frac{21 }{ BM }= \frac{24}{16}[/tex]
Cross multiply
[tex]BM * 24 = 21 * 16[/tex]
[tex]BM * 24 = 336[/tex]
Solve for BM
[tex]BM = 336/24[/tex]
[tex]BM = 14[/tex]
A probability model includes p(red)=2/7 and P(blue)=3/14. Select all the probabilities that could complete the model.
Answer Key:
A: P(green)= 2/7, P(yellow)=2/7
B: P(green)=3/8, P(yellow)=1/8
C: P(green)=1/4 P(yellow)=1/4
D: P(green)= 5/21 Pyellow)= 11/21 E. P(green)= 3/7 P(yellow)=1/14
The probabilities that could complete the model and maintain a total sum of 1 are options B and E.
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
To determine the probabilities that could complete the model, we need to consider the sum of all probabilities. In a probability model, the sum of all probabilities should equal 1.
Given the probabilities P(red) = 2/7 and P(blue) = 3/14, let's calculate the sum:
P(red) + P(blue) = 2/7 + 3/14 = 4/14 + 3/14 = 7/14 = 1/2
Since the sum of P(red) and P(blue) is 1/2, we need to find the probabilities for P(green) and P(yellow) that, when added to 1/2, give a total sum of 1.
Looking at the answer key options:
A: P(green) = 2/7, P(yellow) = 2/7
B: P(green) = 3/8, P(yellow) = 1/8
C: P(green) = 1/4, P(yellow) = 1/4
D: P(green) = 5/21, P(yellow) = 11/21
E: P(green) = 3/7, P(yellow) = 1/14
Let's check the sums:
A: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 2/7 + 2/7 = 4/14 + 3/14 + 4/14 + 4/14 = 15/14 ≠ 1 (incorrect)
B: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/8 + 1/8 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
C: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 1/4 + 1/4 = 4/14 + 3/14 + 7/14 + 7/14 = 21/14 ≠ 1 (incorrect)
D: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 5/21 + 11/21 = 6/14 + 3/14 + 10/14 + 11/14 = 30/14 ≠ 1 (incorrect)
E: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/7 + 1/14 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
Based on the calculations, the probabilities that could complete the model and maintain a total sum of 1 are options B and E. So, the correct answers are:
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
An auto manufacturing company wants to estimate the variance of miles per gallon for its auto model AST72. A random sample of 24 cars of this model showed that the standard deviation of miles per gallon is 0.58. At the alpha = 1%, can the research department conclude that the population variance of miless per gallon for AST72 is decreased from historical value of 0.35?
A. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
B. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
C. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has decreased from the historical value of 0.35.
D. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
Answer:
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size n = 24
Sample Standard deviation S = 0.58
Let δ represent the population standard deviation
so we will test;
H₀ : δ = √0.35 ≈ 0.5916
H₁ : δ < √0.35 ≈ 0.5916
Test Statistics;
we determine our test statistics as follows;
Z = [√(2(n-1))] × [ lnS - lnδ ] ~ N(0, 1 )
Now, Under H₀, [tex]Z_{obs[/tex] = [√(2(24-1))] × [ ln (0.58 / 0.5916) ]
= 6.7823 × -0.0198026
= -0.134
From z-table;
p-value = P( z < [tex]Z_{obs[/tex] ) = p( z < -0.134 ) = 0.4467
p-value = 0.4467
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
x = 1 + root 2 , find the value of (x - 1/x )^3
Answer:
-20 + 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Two bottles of water and an order of cheese nachos costs $5.50. Three bottles of water and two orders of cheese nachos costs $9.50.
Answer:
1.50 waters 2.80 nachos hope this helps :)
Step-by-step explanation:
The national committee fundraising event served 159 chicken dinners and 77 roast beef dinners to its contributors what fractional part of the guest ate roast beef
Answer:
The answer is 77/236.
Step-by-step explanation:
You need to add the total amount of guests (77 + 159) to find how many guests in total there are. Then you find the amount of people ate roast beef (77).
77 + 159 = 236
The answer is 77/236.
Also, it would be SUPER FANTABULOUS if I could get brainliest!!!
Have a nice day!!! ;D
The fractional part of the guest ate roast beef is 77/159.
What is a fraction?
A fraction is a part of a whole number, and a way to split up a number into equal parts. The number on the top is called the numerator, and the number on the bottom is called the denominator.
For the given situation,
Number of chicken dinners served by the national committee = 159
Number of roast beef dinners served by the national committee = 77
The fractional part of the guest ate roast beef is given as 77 in the numerator and 159 in the denominator,
⇒ [tex]\frac{77}{159}[/tex]
Hence we can conclude that the fractional part of the guest ate roast beef is 77/159.
Learn more about fractions here
https://brainly.com/question/1330447
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Will give brainliest for correct answer, ASAP
Answer:
I would say A
Step-by-step explanation:
Its way off by itself
There are 25 marbles in the box. There are 10 red marbles , 8 blue marbles , and 7 yellow marbles . What percent of the marbles are NOT yellow ?
A. 28%
B. 72%
C. 32%
D. 40%
Your list SUMS
MY NOTES
ASK YOUR TEACHER
1. (-/2 Points)
DETAILS
LARCOLALGRMRP7 2.4.092.
An above-ground swimming pool with a square base is to be constructed such that the surface area of the pool is 561 square feet. The heighth of the pool is to be 4 feet (see figure.) What
should the dimensions of the base be? (Hint: The surface area is S=x + 4xh.)
Answer:
then ask your teacher happy birthday to u happy birthday to u
. happy to 6
You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provide each octopus with one circular disk and one flattened rectangle. You hide food under the rectangle. After several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle.
You get the following results:
Circles: 6
Rectangles: 19
Can the octopus tell the difference between circles and rectangles?
Answer:
Yes
Step-by-step explanation:
The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.
Good luck ^^
Choose 3 values for x that would make this inequality true.
X - 4<20
Answer:
X= 23, 22, 21, 20, 19, 18, 17 and so forth
Step-by-step explanation:
To make this inequality true then "X-4" would have to be less than 20, not equal or more than. 24-4=20 meaning the basis for the answer of X would start at 23
Find the measure of angle x 142
Answer:
x = 142°Step-by-step explanation:
This is because,
They are Vertically Opposite Angles.
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
please help
Answer: 31.8
Step-by-step explanation:
The probability that a randomly selected point within the circle falls
in the red shaded area is; 15.9%
What is the probability?The area of the circle is gotten from the formula;
A = πr²
A = π * 4²
A = 50.265 cm²
Area of triangle = ¹/₂ * bh
Here b = h = 4. Thus;
A = ¹/₂ * 4 * 4
A = 8 cm²
Thus;
P(randomly selected is shaded) = 8/50.265
P(randomly selected is shaded) = 0.159 = 15.9%
Read more about probability at; https://brainly.com/question/25870256
help Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
cos A = [tex]\frac{35}{37}[/tex]
Step-by-step explanation:
cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{35}{37}[/tex]
Which of the following would NOT be a probability?
0.23
7
15/45
2/3
Answer:
7
Step-by-step explanation:
7 is a whole number and not a probability
A man earns $11.62 for each of the first 36 hours he works in one week and $17.43 in overtime pay for each additional hour he works in the same week.
How much money will he make if he works 48 hours in one week?
He will make s
if he works 48 hours in a week.
Answer:
21❄️....................