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3 years ago

A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Mathematics

1 answer:

Ber [7]3 years ago

7 0

Answer: $12m^2+19m-18$

Step-by-step explanation:

Given

Speed of boat $v=3m-2\ \text{knots per hour}$

$\text{time t= }4m+9\ \text{hours}$

$\Rightarrow \text{Distance =speed}\times \text{time}$

$\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18$

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GEOMETRY PLEASE HELP

marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

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y = 14

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3 years ago

What is 5/8 divided by 5/12?

stiks02 [169]

$\frac{5}{8} \div \frac{5}{12} \\\\Switch\ to\ muliplication\ and\ find\ reciprocal\ of\ second\ fraction.\\\\ \frac{5}{8}\times \frac{12}{5} \\\\Multiply\ Across.\\\\5\times12=60\\8\times5=40\\\\ \frac{60}{40} \\\\Simplify\\\\ \frac{60}{40} \div20= \frac{3}{2} =1 \frac{1}{2}\ or\ 1.5$

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3 years ago

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There are 750 people at a football game. Out of this number, 320 are students. What percent of the people at the football game a

zlopas [31]

Answer:

I have no clue

Step-by-step explanation:

i dont lnow

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3 years ago

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

4 years ago

Please help. I don't understand anything.

alina1380 [7]

Answer:

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

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3 years ago

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