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alekssr [168]
3 years ago
12

8/3 = 3 (c + 5/3) how to solve step by step

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

Step-by-step explanation:

8/3=3(c+5/3)

multiply both sides by 3

8=9(c+5/3)

divide both sides by 9

8/9=c+5/3

subtract 5/3 from both sides

c=8/9-5/3

change 5/3 to 15/9

c=8/9-15/9

c=-7/9

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Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.
stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.  

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.  

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(10^{\circ})=\frac{120}{x}

x=\frac{120}{\text{tan}(10^{\circ})}

x=\frac{120}{0.176326980708}

x=680.5538183559

Upon rounding to nearest foot, we will get:

x\approx 681

Therefore, the campsite is 681 feet away from the base of the cliff.

4 0
3 years ago
A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be ma
sergejj [24]
D. the range would include all real numbers.
4 0
3 years ago
Rise= ?<br> Run= ?<br> Slope= ?
Dennis_Churaev [7]

Answer:

Rise = 0

Run = 4

Slope = 0

Step-by-step explanation:

Slope of straight line = \frac{\text{Rise}}{\text{Run}}

Since, given line is passing through two points (-2, -3) and (2, -3),

Rise of the line = -3 - (-3) = 0

Run of the given line = 2 - (-2) = 4

By substituting these values of rise and run in the formula,

Slope = \frac{0}{4}

          = 0

Therefore, Rise = 0

                  Run = 4

                 Slope = 0

Note:  Slope of a line parallel to the x-axis is zero.

           Slope of a line parallel to y-axis is not defined.

8 0
3 years ago
Sebuah balok berukuran panjang 3 cm, lebar 4 cm, dan panjang diagonal ruang 13 cm. Volume balok adalah
kramer

Answer:

V=144\ cm^3

Step-by-step explanation:

#We use the base diagonal and the height diagonal to calculate the beam's height:

h=\sqrt{13^2-(4^2+3^2)}\\\\h=12\ cm

#The volume of the beam can then be calculated as:

V=lwh\\\\=4\times 3\times 12\\\\=144\ cm^3

Hence, the beam's volume is 144\ cm^3

5 0
3 years ago
HURRY PLEASE I WILL FAIL MATH IF I DON'T GET THIS RIGHT!! NO JOKE PLEASE HELP
Usimov [2.4K]
A) x + y = 2
B) x * y = -8
B) y = -8 / x  we can substitute this into equation A
A) x + -8 /x = 2 multiplying both sides by "x"
A) x² -8 = 2x
x² +2x -8 = 0
(x + 4) * (x -2)
The 2 numbers are -4 and 2


6 0
3 years ago
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