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Debora [2.8K]
2 years ago
12

Every 24 hours, the earth rotates 360° about its axis. How

Mathematics
1 answer:
Usimov [2.4K]2 years ago
8 0

360 degrees / 24 hours = 15 degrees per hour


150 degrees / 15 degrees per hour = 10 hours


Answer: 10 hours

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What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm?
Gennadij [26K]

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is \frac{1}{2} r^{2} \theta, where r is the radius and \theta is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  \theta=\frac{2 \pi}{7} radians

So, area of sector= \frac{1}{2} r^{2} \theta

=\frac{1}{2} (20.3)^2 (\frac{2 \times 3.14}{7})

=184.85 square mm

5 0
4 years ago
Select the values of x that make the inequality true <br><br><br> x &gt; -3
arlik [135]
a and c, the further you go down the negative number line, the lower the value of the number is so -1 and 0 are bigger
5 0
3 years ago
Read 2 more answers
Help with cal 2 exercise involving integrals?
zhannawk [14.2K]

\displaystyle\int\frac{\sqrt{x^2+1}}x\,\mathrm dx=\int\frac{\sqrt{\tan^2B+1}}{\tan B}\sec^2B\,\mathrm dB

\tan^2B+1=\sec^2B

\sqrt{\sec^2B}=\sec B (provided that \sec B>0)

Then

\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan B}\cdot\sec B

(just moving around a factor of \sec B)

\dfrac{\sec B}{\tan B}\cdot\sec^2B=\dfrac{\sec^2B}{\tan^2B}\cdot\sec B\tan B

(multiply by \dfrac{\tan B}{\tan B})

8 0
3 years ago
Tom has a 10 gallon fish tank that he wants to fill with neon tetra
skelet666 [1.2K]

The equation representing the minimum and maximum number of fishes which would fit into the tank is : 5 ≤ x ≤ 9

From the table given ;

  • Method 2 will allow the maximum number of fish = 9
  • Method 1 will allow the minimum number of fish = 5

To represent the maximum and minimum number of fish that will fit into the tank;

We could use an inequality expression to represent these range :

Let x represent the Number of fishes that would fit into the tank :

  • Minimum ≤ x ≤ maximum

Therefore, the equation can be written thus :

  • 5 ≤ x ≤ 9

Learn more : brainly.com/question/24566347

4 0
3 years ago
What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2
sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let a_{1}=-2

a_{2}=-1

a_{3}=a_{1}-a_{2}

=-2-(-1)

=-2+1

Therefore a_{3}=-1

a_{4}=a_{2}-a_{3}

=-1-(-1)

=-1+1

Therefore a_{4}=0

Similarly we have a_{5}=-1 ,a_{6}=1 ,a_{7}=-2

The general form to the given pattern is

a_{n}=a_{n-2}+a_{n-1}  for n={\{1,2,3,4,5,6,7,8,9,10}\}

Therefore to find the a_{8},a_{9},a_{10}

Put n=8 in a_{n}=a_{n-2}-a_{n-1}

a_{8}=a_{8-2}-a_{8-1}

=a_{6}-a_{7}

=1-(-2)

a_{8}=3

Put n=9 in a_{n}=a_{n-2}-a_{n-1}

a_{9}=a_{9-2}-a_{9-1}

=a_{7}-a_{8}

=-2-(3)

a_{9}=-5

Put n=10 in a_{n}=a_{n-2}-a_{n-1}

a_{10}=a_{10-2}-a_{10-1}

=a_{8}-a_{9}

=3-(-5)

a_{10}=8

Therefore the next 3 numbers are 3,-5,8

4 0
3 years ago
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