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3 years ago

Area of a Triangle

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

Yes it is. You can use the coodinates to find the distance of each side using the distance formula. After that, then you can proceed with 1/2bh.

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If you have an old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall, how many cubic fee

yuradex [85]

Answer:

The old fish tank hold 18.84 cubic feet of water.

Step-by-step explanation:

Given:

An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.

Now, to find the cubic feet of water the fish tank hold.

Dimensions of old fish tank are:

Diameter is 2 feet so. we find the radius first.

Radius ( $r$ ) = $\frac{Diameter}{2}=\frac{2}{2}=1\ feet.$

Height ( $h$ ) = $6\ feet.$

Now, to get the cubic feet off water the tank hold we put formula:

(Taking the value of π as 3.14.)

$Volume=\pi r^2h\\\\Volume=3.14\times 1^2\times 6\\\\Volume=3.14\times 1\times 6\\\\Volume=18.84\ cubic feet.$

Therefore, the old fish tank hold 18.84 cubic feet of water.

7 0

2 years ago

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0

2 years ago

Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she

sammy [17]

Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

5 0

2 years ago

Read 2 more answers

What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

Sergeeva-Olga [200]

The maximum number of turning points in a cubic function is 2.

In this case,

$f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4$

The discriminant is $(-2)^2-4(9)(4)=-140$ , which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.

5 0

3 years ago

Read 2 more answers

Four grey regular polygons join together as shown in the diagram please answer part b

Wittaler [7]

Answer:

a=72° b = 6°

Step-by-step explanation:

answer is in pic

8 0

1 year ago