Answers
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex](6 + r)^{2}[/tex] = [tex]9^{2}[/tex] + [tex]r^{2}[/tex]
36 + 12r + [tex]r^{2}[/tex] = 81 + [tex]r^{2}[/tex]
collecting like terms,
12r = 81 - 36
12r = 45
r = [tex]\frac{25}{12}[/tex]
= 3.75
r = 3.75
The radius is 3.75.
Related Questions
Answer please 10 points
Answers
Answer:
3/4 to 9/6
Step-by-step explanation:
3. Use computer drawing software to construct a quadrilateral with
two pairs of parallel sides and two angles measuring 125°. What
geometric shape describes this quadrilateral?
Answers
9514 1404 393
Answer:
parallelogram
Step-by-step explanation:
A shape with two pairs of parallel sides is a parallelogram. If an angle is something other than 90°, then the figure is not a rectangle.
I need help solving this problem.
Answers
(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)
2x^2 + 3x + 4x - 9 = 2x^2 +7x -9
2x^2 + 7x - 9 - x^2 -7x = x^2 -9
The answer is : x^2 - 9
The answer I got is x^3 + 14x - 9x
is there an Outlier ? 7, 6, 4, 8, 6, 5, 51, 2, 5, 7, 8, 4, 5, 6,
Answers
Answer: Yes there is an outlier.
Step-by-step explanation: 51 is the outlier.
A)32 ft
B) 60 Ft
C) 72ft
D) 96ft
Answers
Answer:
96
Step-by-step explanation:
16 * 6 = 96
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answers
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answers
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
4.
What equation has the missing number?
50/5=
?
a. 50 x 5 =
b. 50-5=
c. 5+) = 50
d. 5x = 50
Answers
Need answer asap, correct answer will get brainliest.
Answers
Answer: Second choice
Step-by-step explanation: Think of it as "folded on" x axis insted of "reflected on" to help visualize.
if you think about it, if it was reflected it would give you the second one. hope that helps boo xoxox
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Required:
a. Set up the ANOVA table for this problem.
b. Use α= .05 to test for any significant difference in the means for the three assembly methods.
Answers
Answer:
H0 is rejected.There difference in the means for the three assembly methods.
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic
of Square Square
Treatments 2 4560 2280 9.865
(between groups)
Error 27 6240 231.111
Total 29 10,800
Error SS= SST -SSTR = -10,800-4560=6240
d.f for SSTr = r-1= 3-1
D.f for SST= n-r= 30-3= 27
Total D.f= d.f for SSTr+D.f for SST= 27+29
MSTR= SSTR/d.f= 4560/2= 2280
MSError= Error SS/ d.f= 6240/27=231.111
F test= MSTR/ MsError= 2280/231.11= 9.865
The P- value < 0.01 which is less than 0.05 therefore H0 is rejected.
There is sufficient evidence to reject H0.
an employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. of those visitors, 45 people bought food at the cafeteria.based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria?
Answers
Answer:
525 people would be expected
Step-by-step explanation:
45 out of 150 or 45/150 is simplified to 3/10
1750 people * 3/10 = 525
Answer:
525 is the answer
Step-by-step explanation:
SOMEONE HELP ME PLEASE:(
Answers
12 x 5 =60
60x2=120
12x4=48
48x2=96
5x4=20
20x2=40
120+96+40=256
Answer:
i dont know
Step-by-step explanation:
SA = (5 × 4) + (5 × 12) + (4 × 12)
= 20 + 60 + 48
= 128
please help! which angles are congruent?
Answers
Answer:
All of the angles
Step-by-step explanation:
All of the angles
Answer: Opposite angles
Step-by-step explanation: As you can see, angles B and D are opposite from each other and they have matching angles. Angles A and C are opposite from each other and they have matching angles. So the opposite angles are congruent. Congruent = identical
the co-terminal angle of -120°
Answers
Answer:
-480°, 240° (among others)
Step-by-step explanation:
± 360
Find the quadratic root of 3 x² - 4x + 2
Answers
Answer:
it has no real roots.
and the 2nd answer is correct.
Step-by-step explanation:
Answer:
this quadratic equation has two roots:
x = (2+i√(2))/3 , (2-i√(2))/3
Steps:
3x²-4x+2=0
x = (4±√((-4)²-4×3×2))/2×3
x = (4±√(16-24))/6
x = (4±√(-8))/6
x = (4±√(-2×4))/6
x = (4±√(-2)×√(4))/6
x = (4±i√(2)×2)/6
x = (2±i√(2))/3
x = (2+i√(2))/3 , (2-i√(2))/3
I need help on this!!
Answers
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answers
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answers
Answer:
$65?
Step-by-step explanation:
Find the length of the arc
in terms of pi.
Half the circle is 20 radius the other half is 180 degrees. Find AB?pi
Answers
Answer:
10π
Step-by-step explanation:
Length for arc = θ/360 × πd
Where,
θ = 180°
d = 20
Length of the given arc = 180/360 × π × 20.
= 10π
PLS HELP
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back to Pilar, the boat travels the same route at the same speed for 2 minutes, and then Pilar uses the remote control to increase the boat's speed by 10 m/min. So the return trip is 60 seconds faster. How long does the return trip take?
Answers
Answer:
7 minutes
Step-by-step explanation:
the trip takes 7 mins
Pilar puts the boat in a lake that travels 400 meters at a constant speed. The time. On the return, the speed was the same for 2 minutes and then increase by 10m/min. The time boat takes in return back = 8 minutes
Solution for the time taken by speed changeThe given information states that the away distance the boat traveled = 400 m
The time traveled at the same initial speed, v₁, by the boat on the way back = 2 minutes.
The increase in speed of the boat by Pilar = 10 m/min
The new speed, v₂ = v₁ + 10
The time for the return trip, t₂ = 60 seconds (1 minute) faster than the time for the trip, t₁
[tex]t_2 = t_i - 1[/tex]
Therefore we have;
[tex]v_i\times t_i = v_i \times 2 + v_2 \times (t_2-2) \\= 400\\v_i \times 2 + (v_i + 10) \times (t_2-2) = 400\\(v_i + 10) \times t_2 - 20 = 400\\[/tex]
but
[tex]v_i = \frac {400}{t} = \frac{400)}{t_2+ 1}[/tex]
Which gives;
[tex]\frac{(400) }{(t₂ + 1} + 10) \times t_2 - 20 = 400\\10\times ( t_2²+ 36·t_2-2)/(t_2+1) = 40010 \times t_2^²+ 10 \times t_2-420 = 0[/tex]
[tex]t_2^2+ t_2-42 = 0[/tex]
[tex](t_2 - 7)(t_2 + 6) = 0[/tex]
[tex]t_2 = 7[/tex] minutes or [tex]-6[/tex] minutes
Given that t₂ is a natural number, we have,
t₂ = 7 minutes
Whereby, [tex]t_2 = t_i - 1[/tex], we have;
[tex]7 = t_i - 1[/tex]
[tex]t_{i} = 1 + 7 = 8[/tex] Minutes
The trip normally takes 8 minutes
Learn more about speed and distance:
https://brainly.com/question/4931057
What is -3v = 15 like I need this answer!!
Answers
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
What is the length of side 'y'?
Answers
Answer:
B
Step-by-step explanation:
A machine can grade 30 tests in 2 minutes. At this rate, how long will it take the machine to grade 135 tests?
8 minutes
9 minutes
10 minutes
12 minutes
Answers
WHY:
30/2= 15 so 15 tests per minute
135/15=9 so nine minutes for 135 tests
MARK ME BRAINLIEST PLEASE
Please need help on this
Answers
Step-by-step explanation:
Standard form is
[tex] {x}^{2} + {y}^{2} + ax + by + c = 0 \\ [/tex]
[tex] {x}^{2} + {y}^{2} - 18y + 5 = 0[/tex]
A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 74 ft. How much farther does a wheel on the outer travel than a wheel on the inner rail of the track in one turn ?
Answers
Answer:
As we know the formula for "Circumference of circle": Since we have also mentioned that there is 2 feet wide circular track for a camera dolly. Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
i hope it helped
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.
Answers
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
If a cube has a volume of 1/8 cubic units, what is the area of one or its faces?
Answers
Answer:
The area of one of the faces of the cube is equal to 1/4 cubic units.
Step-by-step explanation:
Given that a cube has a volume of 1/8 cubic units, to determine what is the area of one of its faces, the following calculations must be performed, knowing that the volume of a cube is equal to the value of one of its sides cubed , and the area of one of its faces is equal to the multiplication between its base and its height:
1/8 = 0.125
3√0.125 = 0.5
0.5 x 0.5 = 0.25
0.25 = 1/4
Therefore, the area of one of the faces of the cube is equal to 1/4 cubic units.
Complete the Big X by filling in the blank.
Answers
Answer:
Blank 1: 3
Blank 2: 6
Step-by-step explanation:
When doing the X method, the numbers on the sides(3 and 6) have to add up to the number on the bottom (9) and multiply to get the number on the top(18)
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
A. No. You did not replace the first book, so that changed the probability that you would draw a notebook second.
B. Yes. The probability of drawing a notebook was the same regardless of replacing the math book.
C. No. These are dependent events and you can calculate the probability of this outcome using the formula
D. Yes. You can use this formula to calculate the probability of this outcome
Branliest to correct answer
Answers
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answers
Answer:91
Step-by-step explanation: