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-Dominant- [34]

2 years ago

9

Once the boat is 2,500 feet away from the port, it is no longer your responsibility to track it. will the boat be 2,500 feet awa

y after two minutes? the speed of the boat is 30 ft per second

1 answer:

sweet [91]2 years ago

4 0

Answer:

Step-by-step explanation:

30*60=1800ft/minute

2500-1800=700

700/30=23.3333333333

60+23.3333333333=83.3333333333 seconds

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Add 5 to me then divide by 7 then add 12 then subtract 7 you get 10

mr Goodwill [35]

Answer:

Step-by-step explanation:

4 0

3 years ago

In drafting class, Manual is drawing blueprints for a house. The scale is 1/4 inch equals 1 foot. If a bedroom is to be 14 Feet

frozen [14]

Answer:

3.5 inches

Step-by-step explanation:

we know that

The scale drawing is

$\frac{1}{4}\ in:1\ ft$

That means

1/4 inch in the drawing represent 1 foot in the actual

so

using proportion

Find out the dimension in the drawing corresponding to a 14 feet wide in the actual

$\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{14}\ \frac{in}{ft}\\\\x=14(1/4)\\\\x= 3.5\ in$

3 0

3 years ago

What is 3/4 to the power of 2

natima [27]

Answer:

9/16

Step-by-step explanation:

5 0

3 years ago

The length of the line segment containing the points (1,7) and (5,5)

ArbitrLikvidat [17]

Answer:

True

Step-by-step explanation:

Let A denotes the point (1,7)

Let B denotes the point (5,5)

We are supposed to find The length of the line segment containing the points

Formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47$

So,The length of the line segment containing the points (1,7) and (5,5) is 4.47 units is true.

Hence Option A is true

4 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1. The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = $r = \frac{d}{2}$

Substitute h for d in the above expression

$r = \frac{h}{2}$ . ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that V = 27; This gives us

27 = πr²h

Divide both sides by h

$\pi r^2 = \frac{27}{h}$

-------------------

Calculating the volume of a sphere

$V = \frac{4}{3}\pi r^3$

Expand the above expression

$V = \frac{4}{3}\pi r^2 * r$

Substitute $\pi r^2 = \frac{27}{h}$

$V = \frac{4}{3} * \frac{27}{h} * r$

Recall that $r = \frac{h}{2}$

So,

$V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}$

$V = \frac{4}{3} * \frac{27}{2}$

$V = \frac{2}{3} * 27$

$V = \frac{2}{3} (27)$

V = two-third (27)

4 0

3 years ago