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3 years ago

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Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? E

xplain.

1 answer:

bekas [8.4K]3 years ago

4 0

The area of a circle is π(r^2)

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Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2

andriy [413]

You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!

Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w Substitute (2 + w) for l

24 = (2 + w)w Substitute 24 in for the area

24 = 2w + w^2 Distribute

w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0 Factor

w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.

5 0

3 years ago

Eight subtracted from 4 times a number is equal to 4 less than 6 times the number.

butalik [34]

$8-4 \cdot x=4-6\cdot x \\\\ 8-4x=4-6x \\\\ -4x+6x=4-8 \\\\ 2x=-4 \ \ \ |:2 \\\\ \boxed{x=-2}$

5 0

2 years ago

A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that <span>2 seconds is not a reasonable answer to this model.</span>

6 0

3 years ago

Read 2 more answers

You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactu

liraira [26]

6/8 chance should be the answer :)

Hopes this helps, and plz mark Brainliest if correct!!

5 0

3 years ago

A garden has width of <img src="https://tex.z-dn.net/?f=%5Csqrt13" id="TexFormula1" title="\sqrt13" alt="\sqrt13" align="absmidd

inessss [21]

Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=16√13

4 0

2 years ago