Answer:
B) On average, a computer technician at Company A earns more than at Company B.
The question is about clock hands. The acute angle measure of the hands of a clock at the time 2:20 is 80 degrees.
Clock hands are essential components of analog clocks and watches, indicating the time by their positions. Typically, a clock has three hands: the hour hand, the minute hand, and the second hand. The hour hand is shorter and denotes the hours, while the longer minute hand points to the minutes. The second hand, the thinnest and longest, measures seconds. Clock hands move in a clockwise direction, and their synchronized motion helps people tell time at a glance, making them fundamental features of timekeeping devices for centuries.
To find the acute angle measure of the hands of a clock at the time 2:20, we need to determine the angle covered by the hour hand. In going from 12 to 3, the hour hand covers 1/4 of the 12 hours needed to make a complete revolution. Therefore, the angle between the hour hand at 12 and at 3 is 90 degrees. Since it is 20 minutes past 2, the minute hand will be 1/3 of the way between 2 and 3. This means the minute hand will be at an angle of 1/3 x 30 degrees = 10 degrees. The acute angle between the hour and minute hands can be found by subtracting the smaller angle from the larger angle. So, the acute angle measure of the hands of the clock at the time 2:20 is 90 degrees - 10 degrees = 80 degrees.
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Answer:
50 degrees
Step-by-step explanation:
To find the acute angle measure between the hour and minute hands of a clock at 2:20, you can use the following method:
First, calculate the minute hand's position:
The minute hand moves 360 degrees in 60 minutes, so in 20 minutes, it covers (20/60) * 360 = 120 degrees.
Next, calculate the hour hand's position:
The hour hand moves 360 degrees in 12 hours, so in 2 hours and 20 minutes, it covers (2 + 20/60) * (360/12) = (2 + 1/3) * 30 = (7/3) * 30 = 70 degrees.
Now, find the acute angle between the hour and minute hands:
Subtract the hour hand position from the minute hand position:
120 degrees (minute hand) - 70 degrees (hour hand) = 50 degrees.
So, the acute angle measure between the hands of the clock at 2:20 is 50 degrees.
Write in simplest form.
3.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 2
Least Common Multiple:
4
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
6.1 Pull out like factors :
3b + 18 = 3 • (b + 6)
Answer:
The answer is 12. 12 divided by 2/5 will give us 30.
Step-by-step explanation:
To find this, simply do the opposite of dividing. Simply multiply 2/5 by 30, and you'll have your answer.
First, before we do this, however, we are going to find out what the decimal form of 2/5 is. To do this, divide the numerator by the denominator. In this case, 2 is the numerator and 5 is the denominator. So divide 2 by 5.
This gives us 0.4. So 2/5 in decimal form is 0.4. Now multiply 0.4 by 30 to find your answer.
30*0.4=12
So the answer is 12. However, rememeber that you always need to check your work. So lets check.
12/30=0.4
0.4=0.4
Do we get a true statement? Yes, so we are correct.
The number you are looking for is 75.
To find the number that, when divided by 2/5, gives 30, we can set up the following equation:
x / (2/5) = 30
To solve this equation, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
x = 30(5/2)
Simplifying the right side of the equation:
x = 150/2
Dividing 150 by 2:
x = 75
Therefore, the number you are looking for is 75.
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Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.
So, root 21 × root 3 equals root 63.
Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .
3√7 is the simplified value of the given expression.
To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.
√3 * √21 = √(3 * 21)
Simplifying the product inside the radical:
√(3 * 21) = √63
Now, we can simplify further by factoring 63 into its prime factors:
√(3 * 21) = √(3 * 3 * 7)
Taking the square root of each factor:
√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7
Therefore, √3 * √21 simplifies to 3√7.
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Answer:
Number of hours Jenny swims each morning = 3 hours
Step-by-step explanation:
Let Jenny swims 'x' hours in the morning each day.
She swims 2 hours in the evening too.
Total hours she swims each day = (x + 2) hours
If her team swims 4 hours per week then number of hours she swims = 4(x + 2)
If she swims 20 hours in a week then,
4(x + 2) = 20
(x + 2) = 5
x = 5 - 2
x = 3 hours
Therefore, Jenny swims 3 hours each morning.
What is this
Answer:
10g+6 is the answer
Step-by-step explanation: