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liubo4ka [24]
1 year ago
15

How do I find the value of xfor the following triangles

Mathematics
1 answer:
Naddik [55]1 year ago
4 0

Given at the figure 1

A right triangle of legs of 10 and 16

We need to find the angle x

The side of 16 represent the opposite side of the angle x

The side of 10 represents the adjacent side of the angle x

According to the known sides, we can find x using tan function :

So,

\begin{gathered} \tan x=\frac{opposite}{adjacent} \\  \\ \tan x=\frac{16}{10}=1.6 \\  \\ x=\tan ^{-1}1.6=57.995 \end{gathered}

Rounding to the nearest degree

So, the measure of angle x = 58

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Live Fund are selling their holding at $5,000 per share.How much would Live Fund receive it they sold half thier holding in Mark
zhannawk [14.2K]

Live Fund receive \bold{\$2500 A} it they sold half thier holding in Marks Brothers.

<u>Solution:</u>

Given: Sale price of Live Fund holding = 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total number of shares held by Live Fund in Marks Brothers as A

Therfore, half the holdings (or half the number of shares) of Live Fund will be \frac{A}{2}.

Thus, if each share is valued at \$5000, then the total value of the number of shares sold will be as follows,

\Rightarrow5000\times\frac{A}{2}\text{ dollars }\rightarrow\frac{5000\times A}{2}\text{ dollars }

\Rightarrow2500 A\text{ dollars }

Hence, Live Fund will receive \$2500 A

5 0
3 years ago
PLZZZ I BEGGG PLZZZ HELP ME!!!!
Tom [10]

Answer:

100

Step-by-step explanation:

There are 4 numbers less than 5 on the spinner.

4/6=2/3

150*2/3=100

4 0
3 years ago
Read 2 more answers
Topic: The Quadratic Formula
Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

x= \frac{-b +- \sqrt{b^2-4ac} }{2a}

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² =  x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\=  -4 or 1

as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\

Because √-7 is not a real number, this has no real solutions. However,

(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions

Finally, for

4x² + 1= 4x,

we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

Then, a=4, b=-4, and c=1, making our equation

x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2

Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution

7 0
3 years ago
Find a, for the sequence 0.5, 3.5, 24.5,<br> 171.5.
antiseptic1488 [7]
The numbers are being multiplied by 7

.5 • 7 = 3.5
3.5 • 7 = 24.5
24.5 • 7 = 171.5
etc
8 0
3 years ago
What is the area of a rectangle with a length of (x - 5) and width of (x + 8)?
dlinn [17]

Answer:

a = x² + 3x - 40

Step-by-step explanation:

a = l * w

a = (x - 5)(x + 8)

a = x(x + 8) - 5(x + 8)

a = (x² + 8x) + (- 5x - 40)

a = x² + 3x - 40

3 0
3 years ago
Read 2 more answers
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