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3 years ago

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A boat travels 300 meters north from dock in an ocean. Because of the current, the boat is also carried 50 meters west as shown.

What is the distance from the boat to the dock, rounded to the nearest meter?

1 answer:

Zanzabum3 years ago

8 0

Answer:

112m

Step-by-step explanation:

Use formula:

$c=\sqrt{a^{2} +b^{2}} \\a=100\\c=50\\c=\sqrt{100^{2} +50^{2}} = \sqrt{125000} = 111.80339$

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Hey again, just need help on the second one, I figured out the first one.

kodGreya [7K]

Answer:

which of the following is the standard from of quadratic equation

3 0

3 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

Simplify the following expression using the distributive property: -8(2x - 5)

Misha Larkins [42]

Answer:

(B)-16+40

Step-by-step explanation: -8(2x-5)

-8*2=-16

-8*-5=40(positive because a negative multiplied by a negative is postive)

add the x to the answers...Then its -16x+40

Hope This Helps:)

5 0

3 years ago

To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran

lina2011 [118]

For this case we convert the mixed numbers to fractions:

$4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}$

Now we add the fractions:

$\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =$

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

$\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =$

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

$8 \frac {3} {8}$ gallons

Answer:

$8 \frac {3} {8}$ gallons

4 0

3 years ago

-3x - 4y = 2<br> 3x + 3y = -3

densk [106]

Answer:

x = -2

y = 1

Step-by-step explanation:

-3x - 4y = 2

x = -2

y = 1

3x + 3y = -3

x = -2

y = 1

5 0

3 years ago