Answer:
r = 10
Step-by-step explanation:
C = 62.8 = 2π·r
62.8 = 2·3.14·r
r = 62.8/2·3.14
= 31.4/3.14
= 10
Answer:
10 miles
Step-by-step explanation:
The circumference of a circle can be found using:
[tex]c=2r\pi[/tex]
We know circumference is 62.8, so we can substitute it in
62.8=[tex]2r\pi[/tex]
We want to find r, so we have to isolate it.
Divide both sides by [tex]2\pi[/tex] or 2*3.14 which is 6.28
62.8=[tex]2r\pi[/tex]
62.8=6.28r
62.8/6.28=6.28r/6.28
r=10
So, the radius is 10 miles
Substitute 3 for x and evaluate the expression below. 6x – 2
Answer:
Step-by-step explanation:
sub 3 for x
6(3)-2
=18-2
=16
Answer:
16 i hope this helps! :)
Step-by-step explanation:
given x = 3
given 6x - 2
plug in the x value 6(3) - 2
simplify 18 - 2 = 16
answer 16
Find the volume of the composite solid. Round your answer to the nearest tenth
Answer:
1130.4 cubic meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The composite solid has two cones:
The height of the big cone is: 12 mThe height of the small cone is: 18The radius of the common base of the two cones is: 6 m=> the volume of the big cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*18 = 678.24 cubic meters
=> the volume of the small cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*12 = 452.16 cubic meters
=> the volume of the composite solid :
= 678.24 + 452.16
=1130.4 cubic meters
1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conference call capability how many of the phones in the office have both speakerphone and conference call capability
Answer:
1/8
Step-by-step explanation:
1/2 of 1/4 is 1/8
-x+3y= 6
x + 3y = 18
Answer:
x = 6
y = 4
Step-by-step explanation:
-x + 3y = 6 → times (-1)
x + 3y = 18
x - 3y = -6
x + 3y = 18
________ -
__-6y = -24
___y = -24/-6
___y = 4
x - 3y = -6
x - 3(4) = -6
x - 12 = -6
x = -6 + 12
x = 6
Answer:
x = 6, y = 4
Step-by-step explanation:
-x + 3y = 6
x + 3y = 18
If you are looking for x and y it is...
x = 6
y = 4
Which is the missing step in the proof below? There is a 4th row that blank...
Given: ABCD is a parallelogram. ACED is a parallelogram
Prove: ΔABC≅ΔDCE
Answer choices are
A. ΔABC ≅ ΔDCE by the SAS congruence theorem
B. ΔABC ≅ ΔDCE by the ASA congruence theorem
C. ΔABC ≅ ΔDCE by the SSS congruence theorem
D. ΔABC ≅ ΔDCE by the HL congruence theorem
Answer:
would go for C, SSS (side side side theorem)
29. repetition of digits is permitted and the letters must be 2 DIFFERENT vowels (a, e, i, o, u).
a) 6,760,000
b) 3,276,000
c) 20,000
d) 6760
Answer:
c) 20,000
Step-by-step explanation:
Number of digits = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 = 10,
Number of vowel letters = a, e, i, o, u = 5
Repetition of digits is permitted but repetition of vowel letters is not permitted
Let the password be presented in dash form as shown below:
____ ____ ____ ____ ____ =
D D D V V
where:
D = possible number of digits to fill the spot
V = possible number of vowels to fill the spot
Since repetition of digits is permitted, each spot marked as D can be filled with any one of 10 digits from 0 - 9
The first spot marked V has 5 possible options (a, e, i, o, u) & the second spot marked V only has 4 possible options (since repetition of vowels is not permitted).
We then place the number of possibilities in each spot and multiply them to determine the number of passwords possible
10 * 10 * 10 * 5 * 4 = 20,000
Therefore, the number of possible passwords is 20,000
A restaurant franchise earns a bonus of $1,500 to be split equally among 12 employees. How much will each employee receive?
$125
$800
$1,488
$12,000
$18,000
Answer:
$125
Step-by-step explanation:
1500/12
125
Answer:
125
Step-by-step explanation:
1,500 divided by 12 is 125
Find the surface area.
Answer:
[tex]638 in^{2}[/tex]
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
1/2
1/6
1/3
Answer:
2/3
Step-by-step explanation:
Answer:
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
a.
Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed.
b. Elijah was also driving to Boston, but she left from outside of the city and was already 40 miles closer than Kayleen was when she started. She also left at noon and got there at 4:00. What was her average speed?
Answer: a) 70 mph
b) 80 mph
Step-by-step explanation:
Given that Kayleen left home at noon and drove to boston.she got there at 4:00. Then time spent will be 4 hours . Noon means 12pm
Distance covered = 280 miles kayleens average speed will be
Speed = distance/time
Speed = 280/4 = 70 mph
Given that Elijah was already 40 miles closer than Kayleen was when she started
Distance covered by Elijah will be
Distance = 40 + 280 = 320
Time = 4 hours
Speed = 320/4 = 80 mph
What does the overlapping shaded region mean?
Answer:
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Answer:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
I hope this helps good luck!
Which of the following is the best example of a food chain in a marine ecosystem?
A food chain is a single pathway connecting a producer with several levels of consumers. In a typical marine food chain, dinoflagellates convert energy from sunlight into food through photosynthesis and store it in their tissues. Copepods feed on dinoflagellates and incorporate this energy into their own tissues.
What is the area of the base of the cone below?
Given:
Given that the height of the cone is 12 ft.
The volume of the cone is 90 ft³
We need to determine the area of the base of the cone.
Area of the base of the cone:
The area of the base of the cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
where the base area is [tex]A=\pi r^2[/tex]
Substituting the value of A in the above formula, we get,
[tex]V=\frac{1}{3}A h[/tex]
Substituting V = 90 and h = 12, we get;
[tex]90=\frac{1}{3}A (12)[/tex]
[tex]90=4A[/tex]
Dividing both sides by 4, we get;
[tex]22.5 =A[/tex]
Thus, the area of the base of the cone is 22.5 square feet.
Hence, Option c is the correct answer.
Describe and correct the error a student made in finding the average rate of change for f(x)equals0.5xsquared over the interval minus4less than or equalsxless than or equalsminus2.
Answer:
please explain it better.
Step-by-step explanation:
The student needs to use the average rate of change formula correctly. For the function f(x) = 0.5x^2 and the interval [-4, -2], the correct average rate of change is -3.
Explanation:The student is looking to find the average rate of change of the function f(x) = 0.5x^2 over the interval [-4,-2]. The average rate of change of a function over the interval [a, b] is calculated by the formula: (f(b) - f(a)) / (b - a).
For our function and interval this calculates to (f(-2) - f(-4)) / (-2 -(-4)). f(-2) is 0.5(-2)^2 = 2, and f(-4) is 0.5(-4)^2 = 8. Substituting into the formula gives (2 - 8) / (-2 -(-4)) = -6 / 2 = -3. So the correct average rate of change for f(x) = 0.5x^2 over the interval [-4,-2] is -3.
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A square patio has an area of 153 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately feet long.
Answer:
38.3
Step-by-step explanation:
Since the patio is a square all of the sides have to be equal.
153/4=38.25
Rounded to the nearest tenth the answer is 38.3
Each side of the patio is approximately 38.3 feet long.
A triangle is shown. What is the length, in inches, of side a?
Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
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Compare the values
9 x 10^2 is ? times as much as 3 x 10^-2
a. 3 x 10^-4
b. 6 x 10^4
c. 6 x 10^0
d. 3 x 10^4
Answer:
d. 3 × 10⁴
Step-by-step explanation:
9 × 10² = X × 3/10²
X = 9 × 10² × 10²/3
X = 3 × 10⁴
Answer:
3×10⁴
Step-by-step explanation:
the explanation is in the picture
please like and Mark as brainliest
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest payment after one year was $283.50, how much was in each account after the year passed?
Answer:
3300 was on 3% and 6700 on 2,5%
Step-by-step explanation:
We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.
Therefore;
a + b = 10 000
And
0,03a + 0,025b = 283.5 (0,03 means 3% etc)
You can move 'b' to the other side to leave 'a' on the LHS
0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)
a=9450 - 0,8333b
Substitute this equation as 'a' in the first equation to get:
9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)
-0,8333b + b = 10 000 - 9450
0,1666b = 550 (divide both sides by 0,1666)
b = 3,300
Therefore 'a' will be :
a= 10 000 - 3 300
a = 6700
I hope this helps.
After solving the system of equations, the amount in the account with 3% interest was $844.50 and the amount in the account with 2.5% interest was $9155.50 after one year.
Explanation:Let's assume the amount invested at 3% interest is x and the amount invested at 2.5% interest is y. We can set up the following system of equations:
x + y = 10000 (equation 1)
0.03x + 0.025y = 283.50 (equation 2)
Multiply equation 1 by 0.03 and equation 2 by 100 to eliminate decimals:
0.03x + 0.03y = 300 (equation 3)
3x + 2.5y = 28350 (equation 4)
Now, subtract equation 3 from equation 4:
3x + 2.5y - 0.03x - 0.03y = 28350 - 300
Simplify:
2.97x + 2.47y = 28050 (equation 5)
Multiply equation 1 by 2.47 and equation 2 by -2.97 to eliminate y:
2.47x + 2.47y = 24700 (equation 6)
-2.97x - 2.97y = -842.25 (equation 7)
Add equation 6 and equation 7:
2.47x + 2.47y - 2.97x - 2.97y = 24700 - 842.25
Simplify:
-0.5x = -422.25
Divide both sides by -0.5:
x = 844.50
Substitute the value of x back into equation 1:
844.50 + y = 10000
Subtract 844.50 from both sides:
y = 9155.50
Therefore, there was $844.50 in the account with 3% interest and $9155.50 in the account with 2.5% interest after one year passed.
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Find the value of X in the triangle. Then classify the triangle as acute right or obtuse
27, 59, x
A. 104
B. 89
C. 93
D. 94
I am A line segment found where 2 faces of polyhedron intersect what am i
Answer:
I do not know
Step-by-step explanation:
Akio found 18 cents in his pocket. He found 6 more coins in his pocket. Altogether he has 73 cents. What were the 6 coins he found in his other pocket?
Answer:
1 quarter, 1 dime, and 4 nickels
Step-by-step explanation:
First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:
73-18=55.
So the total amount of the 6 coins equals 55 cents.
The quarter = 25 cents
The dime = 10 cents
The 4 nickels = 5 + 5 + 5 + 5 = 20
1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.
So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.
Help I’m on a time limit
Answer:
The answer would be 26?
Step-by-step explanation:
So you know the top is 20cm so the bottom would be the same. Then you know W’s circle is 2cm and X’s is 4 you would have to add the 2 and 4 to 20 to get 26?
What is the volume of the pyramid?
A. 60 ft^3
B. 240 ft^3
C. 106.7 ft^3
D. 80 ft^3
Answer:
the correct answer is
D. 80 ft^3
vol. of pyramid = (l× w × h)/3
= (6×8×5)/3
= 80 ft^3
Answer:
60?Step-by-step explanation:
I dont know :cPlease help me I have a limited time
Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
Complete the solution of the equation. Find the
value of y when x equals -8.
-x – 4y = 16
Enter the correct answer.
DONE
OOOO
OOO
Clear all
EO
Final answer:
To solve for y when x equals -8 in the equation -x - 4y = 16, we substitute x with -8 and simplify the equation step-by-step to find y = -2.
Explanation:
To complete the solution of the equation and find the value of y when x equals -8, we need to substitute x with -8 in the given equation -x - 4y = 16. Let's solve the equation step-by-step:
Substitute x with -8: -(-8) - 4y = 16.Simplify the equation: 8 - 4y = 16.Subtract 8 from both sides: -4y = 16 - 8.Simplify the right side: -4y = 8.Divide both sides by -4 to solve for y: y = 8 / -4.Therefore, y = -2.The value of y when x equals -8 is -2.
At a restaurant a manger recorded the sales for one of his servers named
Damaria. $52, $60, $48, $52, $46, $48, $28, $192, $71, $59 Which center
should be used to best represent the data?
a. Damarias mean sale is 570
b. Damarias median sale is $52
c. Damaria's mode sale is $52
d. Damaria's range of her sales is $164
The number of cookies found in 10 different snack bags are shown below
Answer: b. Damarias median sale is $52
Step-by-step explanation:
Hi, the correct option is b. Damarias median sale is $52.
If we rank the sales order from lowest to highest
28 46 48 48 52 52 59 60 71 192
Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.
Feel free to ask for more if needed or if you did not understand something.
Which is a diagonal through the interior of the cube? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. Side A D Side B G Side C E Side D F
Side BG is the diagonal through the interior of the cube
Step-by-step explanation:
Given Cube with
Top face ABDC
Bottom Face EFHG
In a cube there are 4 interior diagonals
Side AD is the diagonal of the top face ABDC
Side CE is diagonal of the side face ACBE
Side DF is diagonal of the side face BDHF
Side BG is the diagonal through the interior of the cube
Hence , the Side BG is the diagonal through the interior of the cube
Help!!! Please!
shows the square-based pyramid ABCDE. The side length of the base is 96 m and the pyramid's height is 55 m. O is the centre of the square base, directly below E. M is the midpoint of AD. Use Pythagoras' theorem to find the length EM.
Answer:
EM = 73 m
Step-by-step explanation:
Using the right triangle MOE
with legs MO = 48. EO = 55 and hypotenuse EM
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )
EM = [tex]\sqrt{5329}[/tex] = 73
1. Each group of 5 students in a science class received one project box. Classroom A received 5 boxes. What is a possible number of students in the room?
A. 5
B. 20
C. 10
D. 25
2. Liza and Marta mow lawns during the summer to earn money. Liza determined that she can earn between $6.00 and $6.25 per hour. Marta estimates that she earns between $7.50 and $8.00 per hour. About how much more money will Marta earn than Liza if they each work 22 hours?
A. $25.01 to $45.00
B. $65.01 to $85.00
C. $45.01 to $65.00
D. $5.00 to $25.00
3. Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a reasonable estimate of her net salary?
A. Yes, because $1,500 is close to
B. No, because $1,300 is a better estimate.
C. No, because retaining 10% of her salary would leave her with about $1,350.
D. Yes, because her salary will be a bit more than
Answer:D because if one group received one box each group it would most likely be 25 students
Step-by-step explanation:
Answer:
1 is 25
Step-by-step explanation:
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