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4 years ago

The sun is currently at a 67° angle of elevation. A tree is leaning away from the sun at a 5° angle

Mathematics

1 answer:

klasskru [66]4 years ago

5 0

Answer:

correct me if Im wrong but

I think it would be 35.293

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5/x+3 take away 1/x-2 equals to 1. solve two possible answers for x

satela [25.4K]

Answer:

<h3><u>Solution</u><u>:</u><u>-</u></h3>

First write the given equation

$\qquad{:}\longrightarrow$ $\sf \dfrac {5}{x+3}-\dfrac{1}{x-2}=1$

$\qquad{:}\longrightarrow$ $\sf \dfrac {5 (x-2)-1 (x+3)}{(x+3)(x-2)}=1$

$\qquad{:}\longrightarrow$ $\sf \dfrac {5x-10-x }{x^2-6x-6} =1$

use cross multiplication method

$\qquad{:}\longrightarrow$ $\sf 5x-x-10=x^2-6x-6$

$\qquad{:}\longrightarrow$ $\sf x^2-6x-6=4x-10$

$\qquad{:}\longrightarrow$ $\sf x^2-6x-4x-6+10=0$

$\qquad{:}\longrightarrow$ $\sf x^2-10x+4=0$

use quadratic formula

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {-b\underline{+}\sqrt {b^2-4ac}}{2a}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt {(-10)^2-4×1×4}}{2×1}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt{100-16}}{2}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt {84}}{2}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10+\sqrt {84}}{2}\quad or\quad x=\dfrac {10-\sqrt{84}}{2}$

8 0

3 years ago

Raise the following fractions to a higher term...

Pavlova-9 [17]

Answer:

1. B

2. B

Step-by-step explanation:

To find the missing term, find the scale factor between the fractions - the number which multiplies to one to make the other.

1. 7 x __ = 35

7x 5 = 35 therefore 5 is the scale factor. Multiply 15 x 5 = 75

2. 8 x ___ = 32

8 x 4 - 32 therefore the scale factor is 4. Multiply 1 x 4 = 4.

7 0

3 years ago

Help me solve this having trouble.

pishuonlain [190]

sin x= opposite / hypotenuse.
opposite=4
hypotenuse=5

sin x=4/5
x=arc sin (4/5)=53.13º

Answer: x=53.13º

7 0

4 years ago

Laura says that the distance between (4,-2) and (4,-7) in the coordinate plane is equal to |-2-(-7)|units Ryan say that the dist

son4ous [18]

Answer:

Both are correct.

Step-by-step explanation:

In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.

$Distance=|-2-(-7)|=5\text{ units}$

So, Laura is correct.

In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.

$Distance=|2-(-9)|=|2+9|=11\text{ units}$

So, Ryan is correct.

Hence, both are correct.

3 0

3 years ago

Which is equivalents to 9/8

monitta

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers