Answer:
Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.
The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.
Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.
Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.
Now, we calculate.
6m = 0.5m+30
5.5m = 30
m = 30/5.5
m = 5.45
So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.
So, our final total is 1 hour 5 minutes and 27 seconds.
Step-by-step explanation:
Little help here guy
Calculate volume
Answer/Step-by-step explanation:
Problem 1:
Radius = 4.8 cm
Height = 6 cm
Volume of cylinder (V) = πr²h
Plug in the values
V = π*4.8²*6 = 434.29 cm³
Problem 2:
Length of pipe = 26 cm
Internal diameter = 6.5 cm
Thickness = 0.5 cm
Pipe volume (V) = π(R² - r²)h
where,
R = Outer radius = ½(6.5) + 0.5 = 3.75 cm
r = inner radius = ½(6.5) = 3.25 cm
h = height = 26 cm
Plug in the values
V = π(3.75² - 3.25²)*26 = 285.88 cm³
Problem 3:
Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³
Height (h) = 16 cm
Radius (r) = ??
Volume of cylindrical can (V) = πr²h
Plug in the values
2,500 = π × r² × 16
2,500 = 16π × r²
Divide both sides by 16π
2500/16π = r²
49.7 = r²
Take the square root of both sides
√49.7 = r
r = 7.05 cm (nearest hundredth)
Problem 4:
The section of the guttering is ½ of a cylinder
Diameter = 14 cm = 0.14 m
Radius = ½(0.14) = 0.07 m
Volume = 20 litres = 0.02 m³
Length (h) = ??
Volume of the guttering = ½(volume of cylinder) = ½(πr²h)
Plug in the values
0.02 = ½(π*0.07²*h)
0.02*2 = 0.0049π*h
0.04 = 0.0049π*h
Divide both sides by 0.0049π
0.04/0.0049π = h
2.6 = h (nearest tenth)
Length = 2.6 m
Problem 5:
Height of the smaller cylinder (h) = 13 cm
Radius of the smaller cylinder (r) = ½(7) = 3.5 cm
Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³
Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder
Thus:
Volume of cylinder filled to height of 5cm = 500.3 cm³
height (h) = 5
radius (r) = ???
Therefore,
500.3 = π × r² × 5
500.3 = 5π × r²
500.3/5π = r²
31.9 = r²
√31.9 = r
r = 5.6 cm (nearest tenth)
Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest
Convert: 7 pt 1 c = [] c
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?
Answer:
0.7
Step-by-step explanation:
Answer:
0.35
Step-by-step explanation:
Find the slope using the formula.
(-2, -9) and (-6, -6)
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Any help please
Answer:
iPhone XS Max: $1,249/256GB,
$1,449/512GB
Step-by-step explanation:
Got it !!!
15+9/2 leave your answer in fraction
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
Answer:
12/4
Step-by-step explanation:
y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x
so in this case, it would be 12 divided by 4 resembling that y varies directly as x
If f(x)=8x+16, then find f-1 (x)
Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
Order the numbers from least to greatest
Answer:
2 then the square root of 7 then 9.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
√7,2,9.5
√7=2.645
So
Order the numbers from least to greatest is
2,√7,9.5 is the answer
Which number has a value between -8.423 and -8.395?
A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5
Answer:
Step-by-step explanation:
Jmeu eimejrimr
The number between -8.423 and -8.395 will be - 8 2/5.
What is Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
Two numbers are,
⇒ - 8.423 and - 8.395
Now,
Since, Two numbers are,
⇒ - 8.423 and - 8.395
Clearly, - 8.1 is greater than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8.75 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 1/2 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 2/5 = - 8.4 is in between - 8.423 and - 8.395.
Hence, It is between the numbers - 8.423 and - 8.395.
Thus, The number between -8.423 and -8.395 will be - 8 2/5.
Learn more about the fraction visit:
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#SPJ6
at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?
Answer:
10 minutes
Step-by-step explanation:
Speed = distance ÷ time, so 40 ÷ 4 = 10
hope this helps :)
during a sale, an appliance that costs $275.00 is being sold at a discount for $220.00. which equation can be used to find the size of discount, d during the sale?
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
The discount is 20%
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
0.2(100)=20
There is a 20% discount.
The difference between a number y and 9 is -34. What is the number?
Answer:
y-9=34
y=34+9
y= 43
Step-by-step explanation:
please Mark as brainliest
Answer:
y= -25 because if you add -25 to 9 it gives you -34
A soup recipe makes 6 cups. How many people does it serve if each serving is 3/4 of a cup?
6
10
8
4
Answer: 8
please see below for work!
In this picture B and F are
midpoints.
x=[ ? ]
Answer: x = 10
see in the picture, ΔACE has:
+) BF//AE
+) B and F are midpoints.
=> BF is the median line of the triangle ACE
=> BF = 1/2. AE
=> AE = 2BF
⇔ 5x - 4 = 2.23 = 46
⇔ 5x = 46 + 4 = 50
⇔ x = 50/5 = 10
Step-by-step explanation:
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
What is the most logical explanation for why kilo is a more important prefix to remember than ""tera"" (the metric prefix for 1 trillion)?
We want to compare two prefixes, kilo and tera, and see why one seems to be more important than the other.
The prefix "kilo" is used for thousands, while the prefix "tera" is used for trillions.
Now if you go to your day-to-day life, you will see that the thousands appear a lot more than the trillions.
For example, is more common to walk one or two kilometers than one terameter.
Or also is more common to buy a kilogram of potatoes than one teragram of potatoes.
This is mainly why kilo is more important (actually is more used, I wouldn't say that is more important) than tera.
If you want to learn more you can read:
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Part D
You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents the value? What does the y-value of this point mean in terms of the problem?
Answer:
The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.
y = 5(0) – 75
y = -75
The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.
Step-by-step explanation:
What is 727.526 in word form
Answer:
I believe that's a decimal point
Step-by-step explanation:
If yes then,
Seven hundred and twenty seven point five two six
Answer:
727.526 in word form is :Seventy-five thousand seven hundred and twenty-six
Step-by-step explanation:
hope this helps :)
are the triangles congruent if so state how they are congruent.
Answer:
Step-by-step explanation:
They are congruent.
SSS
TRUE OR FALSE:
If 2x−5 = 13, then x=4
Answer:
False
Step-by-step explanation:
Add 5 to isolate varible to get 2x=18. Dived by 2 to get x=9.
What is 4x-5x= x- 20
Answer: the answer is x=10
Answer: −2x + 20 = 0
Step-by-step explanation:
Find the probability of guessing correctly at least 6 of the 10 answers on a true-false examination.
Answer:
24%
i think
Step-by-step explanation:
Choose a system of equations with the same solution as the following system:
6x + 2y = −6
3x − 4y = −18
a) 8x + 4y = −4
17x + 2y = −28
b)12x + 4y = 12
21x + 2y = −36
c) 6x + 8y = −36
15x + 6y = −60
d)6x + y = 15
15x − y = −9
Answer: A. 8x + 4y = -4
17x + 2y = -28
Step-by-step explanation:
Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.
According to this system of equations, can Leanne meet both her goals?
A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.
B.
No, she cannot ride the exercise bike a negative number of minutes.
C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.
D.
No, she cannot run on the treadmill for a fractional number of minutes.
Answer: C
Step-by-step explanation:
step 1: I
step 2: just
step 3: took
step 4: it
final answer: i took the test and got a 100 so its definitely C.
<3
can u pls help me with this question
3/8 of the homes have a red door how many homes have a red door
Answer:
three out of the eight homes have red doors. so 3 homes have red doors
Step-by-step explanation:
Point A is at (3, - 8) and point B is at (7, 3)
What is the midpoint of line segment overline AB ?
Please help