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Black_prince [1.1K]
3 years ago
12

A searchlight rotates through one complete revolution every 52 seconds how long does it take to rotate 90 degrees?

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Time taken to rotate 90° is 13 seconds

<u>Explanation:</u>

Given:

To complete one revolution, the searchlight takes 52 seconds

One revolution = 360°

So,

360° is completed in 52 seconds

Time taken to complete 90° is \frac{52}{360} X 90

                                            = 13 sec

Therefore, time taken to rotate 90° is 13 seconds

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P(x)=x4-52+9x+8 Hallar p(-3)
ozzi

Answer:

P(x)=x⁴+9x-44

Step-by-step explanation:

6 0
3 years ago
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
mihalych1998 [28]
Circumference of entire circle = 2 * PI * 10
circumference of entire circle = <span> <span> <span> 62.832 feet
81 degrees is (9/40) of a circle
62.832 * </span></span></span><span>(9/40) = </span> <span> <span> <span> 14.1372 </span> </span> </span>

Source:
http://www.1728.org/radians.htm


4 0
3 years ago
PLEASE HELP god bless Justify each step of the solution by stating the property that was used to get to each step. Given: 4(-6x
baherus [9]

4(-6x – 3) + 24x = -72x + 132


Step 1  -24x – 12 + 24x = -72x + 132    Distribute Property of Equality


Step 2: –12 = -72x + 132    equivalent


Step 3: -144 = -72x    Subtraction Property of equality


Step 4: 2 = x   Equivalent / Division property of equality



6 0
3 years ago
The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).
nexus9112 [7]

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

3 0
3 years ago
Abby has to measure the weight of objects in pounds for her homework, but she only has a scale that measures ounces. If she find
liraira [26]

Answer: 3 pounds

Step-by-step explanation: 1 pound=16 ounces

Now that you know what the conversion from ounces to pounds is, you just have to divide the number of ounces in the problem (48) by 16.

48÷16=3

8 0
3 years ago
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