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grin007 [14]
4 years ago
11

Proportions in Triangles (9)

Mathematics
1 answer:
Nataly [62]4 years ago
5 0

Answer:

3.6

Step-by-step explanation:

Divide 6 by 4

You get 1.5

Multiply 1.5 by 2.4

You get 3.6

You might be interested in
The focal length F of a lens made by combining two lenses of focal length U and V is given I/F=I/U+I/V
jolli1 [7]

Answer:

a). V=\frac{U.F}{U-F}

b). V = 15 units

Step-by-step explanation:

Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,

\frac{1}{F}=\frac{1}{U}+\frac{1}{V}

A). By solving the given formula,

    \frac{1}{V}=\frac{1}{F}-\frac{1}{U}

    \frac{1}{V}=\frac{U-F}{U.F}

    V=\frac{U.F}{U-F}

B). If F = 6 and U = 10 then we have to find the value of V.

    By substituting the given values in the formula,

    V=\frac{6\times 10}{10-6}

    V=\frac{60}{4}

    V = 15 units

    Therefore, focal length (V) of the lens = 15 units

4 0
3 years ago
Solve for the indicated variable
anygoal [31]

Answer:

243.911, or rounding to the nearest unit, 244.

Step-by-step explanation:

For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.

Knowing this:

\frac{200}{ \sin(48) }  =  \frac{x}{ \sin(65) }  \\ x \sin(48)  = 200 \sin(65)  \\ x =  \frac{200 \sin(65) }{ \sin(48) }  \\ x = 243.911

3 0
3 years ago
Solve for m. <br><br> 3m+7/2=−2m+5/2 <br><br> A.-1<br><br> B.-1/5<br><br> C.6<br><br> D.6/5
dedylja [7]

To solve this we must isolate x which involves having the variables on one side and the numbers on the other.

First add 2m to both sides

<em>3m+7/2=-2m+5/2</em>

<em>5m+7/2=5/2</em>

Then we subtract 7/2 from both sides

<em>5m+7/2=5/2</em>

<em>5m=-1</em>

Finally we divide both sides by 5

<em>5m/5=-1/5</em>

<em>Our final answer is -1/5</em>

<em>So the answer is B</em>

Hope this helps!

6 0
4 years ago
PLEASE ANSWER QUICKLY: All help is appreciated
OLEGan [10]
The 1st question: 2nd one
2nd: 3rd one
3rd: 1st one

HOPE THIS HELPED!!!!!
~SOPHIA~
3 0
3 years ago
How do we do this out?
mars1129 [50]

\dfrac{ {2x}^{2} + 7x + 6 }{x + 2}  \\  \\  =  \dfrac{(2x + 3)(x + 2)}{x + 2}  \\  \\  = 2x + 3

Answer : 2x + 3

Hope this helps. - M
6 0
4 years ago
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