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natali 33 [55]
3 years ago
6

If 90 percent of a is 44, what is 30 percent of 3a?

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
90% of "a" is 44.......turn ur percent into a decimal...." of " means multiply..." is " means equals...

0.90a = 44...divide both sides by 0.90
a = 44 / 0.90
a = 48.89.....this is rounded

what is 30% of 3a.....and we know that "a" is 48.89...

0.30(3 * 48.89) = 0.30(146.67) = 44 <=== ur answer
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Solar panels are arrays of photovoltaic cells that convert solar radiation into electricity. the table shows the annual percent
jeyben [28]
I think the largest time interval over which the actual price per watt of a solar panel was an increasing function of time is : 2004 to 2006

As it gives data %growth over previous year

from 2003 to 2004 it was -5.7% but from 2004 to 2005 6.7 % from 2005 to 2006 it is 97 % and from there it once again decline

hope this helps
8 0
3 years ago
Pls help question is on picture
brilliants [131]

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

5 0
3 years ago
A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
Two aquariums are shaped like a rectangular prism the ratio of the dimensions of the larger aquarium to the dimensions of the sm
Daniel [21]

Answer:

Cathy was right ( kinda)

Step-by-step explanation:

let the dimension of the small one be 2a : 2b : 2c

then the dimension of the big one be 3a : 3b : 3c

volume of small: 2a*2b*2c = 8 abc

volume of big: 3a*3b*3c = 27 abc

volume ratio: big/ small = 27/8 = 3.375

-> big one hold 237.5% more than small

-> Cathy was right ( kinda)

3 0
3 years ago
Is 12=24-y and Y equals 12​
Digiron [165]

Answer: Yes.

Step-by-step explanation: if y=12, then 24-12=24 aka 24-y=12

6 0
3 years ago
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