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3 years ago

Answer plsssss i need 5 more

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

The ratio is 1/1.5 so just pick the answers where the first number multiplied by 1.5 is equal to the second number.

For example the first option says 2 and 3.

2 times 1.5 is equal 3 so that is one of the answers.

If an option says 4 and 5, 4 times 1.5 is 6 not 5 so that wouldn't be an answer.

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The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day.

Goshia [24]

Answer:

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

$A = l*w$

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

$\frac{dl}{dt} = 1 \frac{m}{d}$

And the width is decreasing at a rate:

$\frac{dw}{dt} = -2 \frac{m}{d}$

The change in the rectangle's area is the following:

$\frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt}$

When the length is 8 meters and the width is 18 meters we have:

$\frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d})$

$\frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d}$

$\frac{dA}{dt} = 2 \frac{m^{2}}{d}$

Therefore, the area is changing at 2 m² per day.

I hope it helps you!

8 0

3 years ago

The doorway in Julie's house is 80 inches tall, and the angle that the diagonal makes with the side of the doorway is 35° as sho

Kaylis [27]

The length of the diagonal will be given by:
cos θ=adjacent/hypotenuse

θ=35°
hypotenuse=h
adjacent=80 inches=6.66667 ft
thus;
cos 35=6.66667/h
h=6.66667/cos35
h=8.1385 ft
diagonal=8.1385 ft

we conclude that the table will through the door diagonally.

3 0

3 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$