The length of a rectangle is four more than triple the width. if the perimeter is 120 inches, find the dimensions.

Help me with this question

finlep [7]

Answer:

I THINK C

Step-by-step explanation:

I THINK.

4 0

3 years ago

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A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is give

rosijanka [135]

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16 $t^{2}$ + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

= 224

h = 224 m

Total height, S = 240 + 224

= 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + $\frac{1}{2}$ g $t^{2}$

S = $\frac{1}{2}$ g $t^{2}$

464 = $\frac{1}{2}$ *9.8* $t^{2}$

$t^{2}$ = $\frac{928}{9.8}$

= 94.694

t = $\sqrt{94.694}$

= 9.7311

t ≅ 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

Visit: brainly.com/question/13834669

7 0

3 years ago

Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de

Nimfa-mama [501]

Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a b since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.

6 0

3 years ago

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Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown

azamat

Answer:

Step-by-step explanation:

3 0

3 years ago

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Jessica wrote a computer program to create colored shapes. The shapes are either squares or circles and both are equally likely.

Alik [6]

Answer: 16 2/3%

Step-by-step explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

7 0

3 years ago