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gizmo_the_mogwai [7]
3 years ago
12

How do I rewrite this expression?

Mathematics
1 answer:
Furkat [3]3 years ago
4 0
21c squared-40
that's your answer.
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Help plz <br> How do you solve
tensa zangetsu [6.8K]

Answer:

y=4\sqrt{3}\ units

Step-by-step explanation:

Triangle MRN is created by folding an equilateral triangle by half. Since triangle MRN is right triangle, the equilateral triangle must be folded along the height drawn to one side.

In equilateral triangle with side length of a units, the height is \dfrac{a\sqrt{3}}{2}\ units and the height is greater than half the side because

\dfrac{a\sqrt{3}}{2}>\dfrac{a}{2}.

The leg with length x units has the smaller projection (2 units long) than the leg with length y units has (6 units long).

This means the leg with length y units is the height of the equilateral triangle. If the leg with length y units is the height of the equilateral triangle, then the hypotenuse MN = 8 units is the side of the equilateral triangle and lex with length x units is half the side, so x = 4 units.

By the Pythagorean theorem,

y^2=8^2-4^2\\ \\y^2=64-16\\ \\y^2=48\\ \\y=4\sqrt{3}\ units

7 0
3 years ago
A firm wishes to maintain an internal growth rate of 7.1 percent and a dividend payout ratio of 25 percent. The current profit m
ddd [48]

Answer:

1.46 times

Step-by-step explanation:

The growth,g rate is defined as Return on Equity times (1-Dividend payout ration):

g=ROE\times(1-Dividend \ Payout \ Ratio)

Given that g=7.1, dpr=0.25,

The total asset turnover is calculated as:

0.071=ROE\times(1-0.25)\\ROE=0.0947

#We know that

ROE=Profit \ margin \times \ Total \ Asset \ Turnover\\0.0947=0.065\times \ Total \ Asset \ Turnover\\1.4564=\ Total \ Asset \ Turnover\\

Hence, turn-over required for a 7.1% internal growth is 1.4564times

3 0
3 years ago
Helpppppppppppppppppp
Aneli [31]
The vertex would be at (-2,7)
7 0
4 years ago
What are the equations &amp; answer to these 2 problems ?
mrs_skeptik [129]

Remark

First of all, we had best correct the labeling. The adjacent is the side making up the unknown angle, and the opposite is the side not making up the given angle (in this case, x)

So you have mixed up the opposite and the adjacent. You need to switch them.

Step Two (Bottom Diagram)

Sin(x) = opposite / hypotenuse

Sin(x) = 12 / 18

Sin(x) = 2/3

Sin(x) = 0.6666666666

x = sin-1(0.66666666)

x = 41.18103

Problem One (Top One)

Sin(x) = opp/hypotenuse

Sin(x) = 4/5

Sin(x) = 0.8

x = sin-1(0.8)

x = 53.13 Answer <<<<<

6 0
4 years ago
Finish this sentence: "To find the surface area of a prism we need to find the _______ of all of the sides and _____ them togeth
ale4655 [162]

Step-by-step explanation:

you need to find the area and add them together

8 0
3 years ago
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