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katen-ka-za [31]
2 years ago
6

Solve for x and please roundddd

Mathematics
2 answers:
balandron [24]2 years ago
8 0

Answer:

\displaystyle 36,9

Step-by-step explanation:

\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x

<em>OR</em>

\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x

Information on trigonometric ratios

\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ

I am joyous to assist you at any time.

kati45 [8]2 years ago
6 0
Should be 37 degrees

We know the lengths of the adjacent and opposite sides when looking at the angle x, so we use those two sides to find the trig ratio.

So we use Opposite/adjacent (Tangent) Which is 54/72=0.75

Now we get out the trig ratio table. Because we used the tangent ratio (O/A) , we use that column to look for the closest number to 0.75.
The closest is 0.754, and the degree for it is 37 degrees

Rlly hope this helps :)))

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Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2. A. 5 B. –3 C. –4 D. –23
Olin [163]

Answer:

= -43

Step-by-step explanation:

Evaluating the expression;

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We can use Bodmas

We remove the brackets first

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We get

-8 + - 7 + -16 + -14 - -2

but; - × + = - and - × - = +

Thus;

-8 - 7 - 16 - 14 + 2

= -8 -7 - 16 - 12

<u>= -43 </u>

3 0
3 years ago
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.55.55
Juli2301 [7.4K]

Answer:

The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

Step-by-step explanation:

we know that

A linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)

or say b is the actual weight of the wrestler.

In this problem

m=5.5 kg/month

Let

W ⇒ the sumo wrestler's weight in kg (dependent variable)

t ⇒ the time in months (independent variable)

The linear equation is equal to

W(t)=5.5t+b

where

b is the actual weight when he started the diet.

Now Given

W = 140 kg

t = 11 months

substitute in the linear equation to find the value of b

140 = 5.5\times11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg

W(t)= 5.5t+79.5

Hence,The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

7 0
2 years ago
What is the answer to the picture
laiz [17]
The answer would be 87%
5 0
3 years ago
What is the slope of the line that passes through the points (48, 10) and (-36, 17)?
schepotkina [342]

Answer:

y = m x + b      equation of a straight line

m = (y2 - y1) / (x2 - x1)     slope of line

m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12

y = -x / 12 + b     equation of line

Or b = y + x / 12

If y =  10 and x = 48 then    b = 10 + 48 / 4 = 14

if  y = 17 and x = -36 then b = 17 - 36 / 12 = 14

So b = 14 and   y = -x / 12 + 14

4 0
2 years ago
In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in
sveta [45]

Answer: year 2194



Explanation:



1) Model the jump of the women:


i) initial jump = 70.0 in


ii) increase rate = 0.48% per year


iii) equation: h = 70.0(1 +0.0048)ⁿ


2) Model the jump of the men:


i) initial jump 86.5 inches.


ii) increase rate, 0.4%.


iii) equation: h = 86.5 (1 + 0.004)ⁿ


3) Equal the two equations (h = h) to find when the jumps will be equal:


i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ


ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ


ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0


iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0


iv) n log (1.0048 / 1.0040) = log ( 86.5/70)


v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266


3) year = 1928 + 266 = 2194


That is in the year 2194

8 0
2 years ago
Read 2 more answers
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