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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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A convex polygon
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3 years ago
What is the explicit rule for this sequence?<br> -5, 15, – 45, 135, ...
hoa [83]

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

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4 0
3 years ago
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katovenus [111]

Answer:

A. 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-5x - 1 ≤ -9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 1 to both sides:                    -5x ≤ -8
  2. Divide -5 on both sides:             x ≥ 8/5

Here we see that any value <em>x</em> greater than or equal to 1.6 would work as a solution.

Therefore, our answer is A. 1, as it doesn't work as a solution.

3 0
3 years ago
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Gemiola [76]

1) 0.4

2)0.875

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Find the length of the third side. If necessary, write in simplest radical form. 9 5
tigry1 [53]

Step-by-step explanation:

(9) {}^{2}   = (5) {}^{2}  + (x) {}^{2}  \\ 81 = 25 +  {x}^{2}  \\  {x}^{2}  = 56 \\ x = 2 \sqrt{14}  = 7.4

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3 years ago
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