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anygoal [31]
2 years ago
9

Expand

Mathematics
1 answer:
Artyom0805 [142]2 years ago
7 0

The distance between the ships is 26.65.

<h3>How to illustrate the distance?</h3>

Based on the information given, after 3 hours, the distance of ship B will be:

= 20 + (17 × 3)

= 71.

A = 21 × 3 = 63

Well calculate the square root which will be:

A² + B² = 71² + 63²

= 5041 + 3969

= 9010

Therefore, ✓9010 = 94.92

Finally, the distance will be:

= (63 × 21) + (71 × 17) / 94.92

= (1323 + 1207)/94.92

= 26.65

Learn more about distance on:

brainly.com/question/2854969

#SPJ1

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Read 2 more answers
10 subtracted from the quotient of a number and -3 is at least -1​
Mazyrski [523]

<em><u>10 subtracted from the quotient of a number and -3 is at least -1​ is:</u></em>

\left(\frac{x}{-3}\right)-10\ge \:-1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-27\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-27]\end{bmatrix}

<em><u>Solution:</u></em>

<em><u>Given statement is:</u></em>

10 subtracted from the quotient of a number and -3 is at least -1​

Quotient means reuslt of dividing two numbers

Let the number be "x"

quotient of a number and -3 = \frac{x}{-3}

Therefore,

10 subtracted from \frac{x}{-3} is at least -1

at least means "less than or equal to"

<em><u>Which is translated into algebraic expression as:</u></em>

(\frac{x}{-3}) - 10\geq -1

<em><u>Solve the above inequality</u></em>

\left(\frac{x}{-3}\right)-10\ge \:-1\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\\\\frac{x}{-3}-10+10\ge \:-1+10\\\\\mathrm{Simplify}\\\\\frac{x}{-3}\ge \:9\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)

When we multiply or divide by negative number. we have to flip the inequality sign

\frac{x\left(-1\right)}{-3}\le \:9\left(-1\right)\\\\\mathrm{Simplify}\\\\\frac{x}{3}\le \:-9\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\\\frac{3x}{3}\le \:3\left(-9\right)\\\\\mathrm{Simplify}\\\\x\le \:-27

Thus the solution of inequality is found

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