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3 years ago

Comprehension Question

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Our landfills will not actually become towering mountains of trash, that's just a hyperbole used by the author to show the destructive impact that trash in large quantities can have.

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Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the gr

mote1985 [20]

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

4 0

3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid beca

rosijanka [135]

Answer:

C. $72\pi$

Step-by-step explanation:

The radius of the circle is 24 units, then the area of the whole circle is

$\pi r^2=\pi \cdot 24^2=576\pi \ un^2.$

The shaded circle is limited by 45° angle, so its area is

$\dfrac{45}{360}=\dfrac{1}{8}$

of the area of the whole circle.

The area of the shaded circle is

$\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.$

3 0

4 years ago

What is the perimeter of the figure?

Monica [59]

Hey there,

So when finding the perimeter, we do addition.

So . . .

20 + 12 + 18 + 7+ 13+6

Your correct answer would be 76

Hope this helps.
~Jurgen

7 0

3 years ago

Read 2 more answers

Simplify each radical

const2013 [10]

Answer:

AECG

Step-by-step explanation:

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

sqrt(36) = 6

sqrt(a^2) = a See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone. There's only 1 of them.

5b sqrt(a)

answer: C

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

8 0

3 years ago