The second hand on Mr. Vidler's Alarm Clock is 6 cm long. Approximately how far does the tip travel in 5 minutes and 15 seconds? [Round your answer to the nearest tenth. Only type in the number, no units.]
Answers
Answer: 3.297 centimeters.
Step-by-step explanation:
First, remember that if we have a circle of radius R, and we have an arc of angle A, the length of this arc is:
L = (A/360°)*2*3.14*R
In this case, we can think on a circle of radius R = 6cm.
And the angle in this case will be an angle of 5 minutes and 15 seconds.
We know that a clock does a complete revolution in 60 minutes, then:
60 minutes = 360°
First, we need to write 5 minutes and 15 seconds in minutes only.
we know that 60 seconds = 1min
then:
1 = 1min/60seconds = (1/60) min/seconds
then:
15 seconds = 15 seconds*((1/60) min/seconds) = (15/60) min = 0.25 min
Then:
5 minutes and 15 seconds = 5 min + 0.25 min = 5.25 min
Now we can use the relationship:
60 minutes = 360°
then:
1 = 360°/60min
Then:
5.25min = (5.25min)*(360°/60min) = 31.5°
Then we have A = 31.5°
Then the length of this arc (that is the distance that the tip of the tip travels in 5 minutes and 15 seconds) is:
L = (31.5°/360°)*2*3.14*6cm = 3.297 cm
Related Questions
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answers
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65. How many dollars would seven pastrami sandwiches and twelve sodas cost?
Answers
Answer:
37.95
Step-by-step explanation:
MATH
The cost of seven pastrami sandwiches and twelve sodas is $40.08.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.
2P + 5S = 12.65
3P + 2S = 12.65
2P + 5S = 3P + 2S
P = 3S
3 x 3S + 2S = 12.65
6S + 2S = 12.65
8S = 12.65
S = $1.58
P = $3.16
The cost of seven pastrami sandwiches and twelve sodas will be:-
Cost = 7P = 12S
Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )
Cost = $41.08
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6 people will attend a lunch.2 cans of juice should be provided per person.
Determine the total number of cans of juice required.
Answers
Answer:
6 * 2 = 12 cans
Write 0.511 as a fraction.
Answers
Answer:
511 / 1000
Step-by-step explanation:
0.511 = 511 / 1000
Answer:
511/1000Step-by-step explanation:
Steps to convert 0.511 into a fraction:
Write 0.511 as 0.511/1
For each digit following the decimal point, multiply both the numerator and denominator by ten:
0.511/1
= 0.511 * 1000/ 1 * 1000 = 511/1000As an aside, the entire number-integral section is: blank.
The decimal component is as follows: 0.511 = 511/1000
The following is the complete breakdown of simple fractions: 511/1000
let j, s, and k denote the propositions that jasmine, samir, and kanti attend, respectively. express the given conditions using logical connectives.
Answers
Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬).
j ∧ s ∧ ¬k
j - Jasmine attends
s - Samir attends
¬k - Kanti does not attend
∧ - Logical And operator
j ∧ s ∧ ¬k -
Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬). The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".
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Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answers
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
Help me with finding it I’m not smart at all
Answers
Answer:
52cm^2
Step-by-step explanation:
6*3+2((2*5)/2)+4*6
=18+10+24
=52
Answer:
77cm²
Step-by-step explanation:
Okay, so first you have to find the area of all the shapes that make up the net, I'm going to start with the triangle:
So the height is 2 and the base is 5, so we plug this into our equation to get:
2 x 5 ÷ 2 = 5
There's 2 triangles so:
5 x 2 = 10
Then we start on the rectangles, we're going left to right:
6 x 3 = 18
5 x 5 = 25
4 x 6 = 24
Then we add that all up:
10 + 18 + 25 + 24 = 77
So the net of the triangular prism is 77cm²
hope this helps:)
A recipe calls for 3/4 cups of water, 2/3 cups of flour, and 1/6 cups of sugar. What is the ratio of water: flour: sugar? Express your answer reduced to the lowest terms
Answers
Answer:
9:8:2
Step-by-step explanation:
3/4 : 2/3 : 1/6 Multiply by 12.
9 : 8 : 2
A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
Answers
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used a total force of 1,200 newtons. After pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
How much power did the volinteers use to pushe the van?
Answers
It should be noted that the power that the volunteers use to pushe the van is 200 watts.
How to calculate the power?From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
It should be noted that power is calculated as:
Power = Force × Displacement / Time
Force = 1200 Newton
Displacement = 150 meters
Time = 15 minutes = 15 × 60 = 900 seconds.
Therefore, the power that the volunteers use to pushe the van is:
Power = Force × Displacement / Time
=(1200 × 150) / 900
= 200 Watt.
Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.
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how old is the ressinace ?
Answers
Answer:
The renaissance took place in the 14th all the way to the 17th century.
Step-by-step explanation:
Evaluate ()=2+5 for the following and enter your answer in the space provided. Do not include any spaces in your answer
Answers
Solution
- The equation given is
\(f(x)=2x+5\)- To solve the question, we simply need to substitute the value of x into the expression of f(x).
Question A:
\(\begin{gathered} f(-1)\text{ implies we substitute }x=-1 \\ f(-1)=2(-1)+5 \\ f(-1)=-2+5=3 \end{gathered}\)Question B:
\(\begin{gathered} f(2)\text{ implies we substitute }x=2 \\ f(2)=2(2)+5 \\ f(2)=4+5=9 \end{gathered}\)Question C:
\(\begin{gathered} f(0)\text{ implies we substitute }x=0 \\ f(0)=2(0)+5 \\ f(0)=5 \end{gathered}\)Question D:
\(\begin{gathered} f(z)\text{ implies we substitute }x=z \\ f(z)=2(z)+5 \\ f(z)=2z+5 \end{gathered}\)please help me with this
Answers
The angle 4 is an alternate angle to 80° and this tells us that; ∠4 = 80°
How to find alternate angles?Alternate angles are defined as the angles that occur on opposite sides of the transversal line and have the same size. Thus, Alternate angles are always equal.
These interior alternate angles can be gotten by drawing a Z shape which produces two different types of alternate angles namely alternate interior angles and alternate exterior angles.
Now, we are given that only one known angle in the image which is 80°. However, we see that the angle we want to find which is angle 4 is an alternate angle to the known angle.
Thus, by definition of alternate angles, we can say that ∠4 = 80°
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Use the diagram to find the measure of each angle.
Answers
Answer:
Step-by-step explanation:
<ABC = x + 45 = 180
x = 135
<ABE = 45
vertical to <CBD is 45
<EBD= 135 due to <ABD is vertical
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
Answers
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Given f(x) = x2 + 24 - 12, find f(3)
Answers
Answer:
f(3) = 12
Step-by-step explanation:
f(3) = (3 x 2) + 24 - 12
= 6 + 24 - 12
f(3) = 12
If this helps you, please give brainliest!
Answer:
Step-by-step explanation:
f(x) = \(x^{2}\) + 24 - 12
substitute 3 inplace of x
f(3) = \(3^{2}\) + 24 - 12
=9 + 24 - 12
21
If the question is f(x) = x2 + 24 - 12 {x*2 + 24 - 12}
now substitute 3 in place of x
f(3) = 3*2 + 24 - 12
=6 + 24 - 12
18
A toy racecar races along a circular race track that has a radius of 24 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction.Suppose the racecar has traveled 56 meters along the race track.How many radians has the racecar swept out?_____ radians What is the racecar's distance to the right of the center of the race track (in meters)?_____ meters What is the racecar's distance above the center of the race track (in meters)?______ meters Let d represent the racecar's varying distance traveled (in meters) along the circular race track.Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters). Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters).
Answers
We can draw the circuit and the position of the car in order to help us understand the problem:
We can calculate how many radians represent this arc by calculating some proportions.
We know that x is to 2*pi (the complete lap) radians as 56 meters is to the circumference of the race track.
As the circumference of the racetrack is 2*pi*r, we can write:
\(\begin{gathered} \frac{x}{2\pi}=\frac{56}{2\pi r}=\frac{56}{2\pi\cdot24} \\ x=\frac{56}{24} \\ x=\frac{7}{3}\approx2.33 \end{gathered}\)How many radians has the racecar swept out?
2.33 radians
If we draw a vertical axis that goes through the center of the race track, we can calculate the distance from the car to that axis as:
the distance to the vertical axis is equal to the projection of the radius on the horizontal axis. This projection has the value of the radius multiplied by the cosine of the angle x.
We then can calculate the distance to the vertical axis as:
\(d_v=R\cdot\cos (x)=24\cdot\cos (2.33)\approx24\cdot(-0.69)=-16.58\)The race car is in the second quadrant and the distance to the vertical axis is 16.58 meters from the left of the center of the race track.
What is the racecar's distance to the right of the center of the race track (in meters)?
16.58 meters.
We know have to calculate the distance to the horizontal axis.
This distance is the projection of the radius into the vertical axis, so it can be calculated as:
\(d_h=R\cdot\sin (x)=24\cdot\sin (2.33)\approx24\cdot0.72\approx17.35\)What is the racecar's distance above the center of the race track (in meters)?
17.35 meters.
If d is the distance to the vertical axis, it can be expressed in function of the angle x as:
\(d(x)=R\cdot\cos (x)=24\cdot\cos (x)\)The expression to represent the racecar's distance to the right of the center of the race track is d(x)=24*cos(x).
If we want the expression for the distance to the horizontal axis, we can write:
\(d=R\cdot\sin (x)=24\cdot\sin (x)\)The expression to represent the racecar's distance above the center of the race track is d(x)=24*sin(x).
Answer:
What is the racecar's distance to the right of the center of the race track (in meters)?
16.58 meters.
What is the racecar's distance to the right of the center of the race track (in meters)?
16.58 meters.
What is the racecar's distance above the center of the race track (in meters)?
17.35 meters.
The expression to represent the racecar's distance to the right of the center of the race track is d(x)=24*cos(x).
The expression to represent the racecar's distance above the center of the race track is d(x)=24*sin(x).
The graph of an inequality has an open circle at 8, and the ray moves to the right. What inequality is graphed?x ≥ 8x < 8x > 8x ≤ 8
Answers
Given:
The graph of an inequality has an open circle at 8, and the ray moves to the right.
Required:
What inequality is graphed?
Explanation:
The open circle means that the set does not contain that extreme, so with this information, you could discard the x greater than equal 8 and less than equal 8.
The ray moves right, in the usual notation, the real numbers increase to the right, then, in this case, we are looking at the set of numbers bigger than 8, that does not contain the number 8.
Then the inequality graphed is x > 8, and this means that the right answer is the third option.
Answer:
The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?
Answers
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answers
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.
Answers
The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).
In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.
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Is -76.68 an integer
Answers
Answer:
i don't think so, integers are whole numbers
Step-by-step explanation:
they could be positive or negative, but have to be a whole number
Answer:
No, -76.68 isn't an integer.
Step-by-step explanation:
Lets find the definition of an integer
"An integer is a whole number (not a fractional number) that can be positive, negative, or zero."
Some examples of a integer is: -5, 2, 0, 33
Some examples that aren't an integer is: 4.55, 22/7, 0.09, 1/2
-76.68 is a negative number, but isn't a whole number. Which isn't considered an integer
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answers
Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answers
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
Type the integer that makes the following addition sentence true for brainliest
Answers
Answer:
901 is the integer
Step-by-step explanation:
1694-793 = 901
Step-by-step explanation:
901 is your answer
hope it's helpful for you
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identify the slope for the equation 3x-4y=-36
Answers
Answer:
3/4
Step-by-step explanation:
The first step to solving this problem is to isolate one variable. Since we want the slope equation, we should move all of the terms that do not have a y in them to the same side of the equals sign.
Step 1: Isolate y
3x-4y = -36
-4y = -36 - 3x
4y = 36 + 3x
We want our final equation to be in slope intercept form, where y=mx+b.
Step 2: Update form
4y = 3x+36
y = (3/4)x + (36/4)
y = (3/4)x + 9
Since m is the slope in the slope intercept equation, our answer is whatever is being multiplied by x in the equation in step 2. (3/4) is the slope of this equation.
Negative exponents in denominators can be evaluated using \(\frac{1}{b^{-n}}\) = _____, b ≠ 0 The 4 possible options are bn \(b^{-n}\) \(b^{n}\) \(\frac{1}{-b^{n}}\)
Answers
Answer:
\(\dfrac{1}{b^{-n}}=b^n\)
Step-by-step explanation:
One of the property of exponents is :
\(\dfrac{1}{x^a}=x^{-a}\\\\\text{or}\\\\\dfrac{1}{x^{-a}}=x^{a}\)
In this problem, x = b and a = n
So,
\(\dfrac{1}{b^{-n}}=b^n\)
Hence, the correct option is (b).
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2
Answers
The value of the side length x is equal to 14 using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin45 = 7√2/x {opposite/hypotenuse}
√2/2 = 7√2/x {sin45 = √2/2}
x = 7√2 × 2/√2 {cross multiplication}
x = 7 × 2
x = 14
Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.
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When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
Answers
When writing a proof , by copying the “given” statement(s) from the original problem
Given data ,
A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.
We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.
Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.
The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.
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