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Andrej [43]
3 years ago
14

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west a

t 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

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What is the area of this shape if each box is 1 square centimeter?
blondinia [14]
The area is one square centimeter

7 0
3 years ago
A box contains five ping-pong balls, each with a number written on it. One ball has a one painted on it, one ball has a four, tw
Temka [501]

Answer:

0

Step-by-step explanation:

Numbers on balls:

1, 4, 7, 7, 8

Try to find the sum of all numbers:

1+4+7+7+8 = 27

According to the rule of 3, any number is dividable by 3 if the sum of it's individual is divided by 3.

27 is dividable by 3, therefore any combination will result a number with a factor of three.

Prime number is the number that is only dividable by 1 and itself. Therefore, any combination using those numbers are not prime number.

So the probability is 0

4 0
3 years ago
The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Triss [41]

Answer:

x^2+ 18x -130=0

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

Area = Length * Width

So:

A_1 = (x + 6) * (3x - 2)

The smaller rectangle

A_2 = (x - 1) * (2x)

The difference between this areas give the area of the shaded region.

So:

A_1 - A_1 = 118

(x+6)*(3x-2) - (x-1)*2x = 118

Open brackets

3x^2 - 2x + 18x -12 -2x^2 +2x = 118

Collect like terms

3x^2 -2x^2- 2x +2x+ 18x -12   - 118=0

x^2+ 18x -130=0

<em>The above equation can be used to solve for x</em>

4 0
3 years ago
What is the relationship between A: Vertical angles <br> B: Complementary angles <br> C: Supplementary angles <br> D: None of th
NNADVOKAT [17]

Answer:

B. Complementary Angles

Step-by-step explanation:

They both make up 90 degree angle.

3 0
4 years ago
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​
Roman55 [17]

Answer:

75

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

<u>Step 1: Set up</u>

75 + 120 + 90 + ∠4 = 360

<u>Step 2: Solve</u>

  1. Add:                                                                                                                   285 + ∠4 = 360
  2. [Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75
5 0
3 years ago
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