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marishachu [46]
2 years ago
10

Someone help pls -……

Mathematics
1 answer:
uysha [10]2 years ago
8 0

Answer:

d) 35ft

e) 6 seconds

f) 250°

Step-by-step explanation:

If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.

   36 secs = 360°

⇒ 1 sec = 360/36 = 10°

d)  After 9 seconds, it has turned:

9 x 10 = 90°

Therefore, it will be 15 + 20 = 35ft from the wall

e) 60° = 6 seconds

f) 25 seconds = 25 x 10 = 250°

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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
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Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

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3 years ago
A carpenter is building a rectangular room with a fixed perimeter of 440 ft. what are the dimensions of the largest room that ca
olga55 [171]
The biggest it can be is 110 by 110, and the area would be 2,100 ft.

Hope this helps!
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3 years ago
What the word form for 3,651 and the expanded form of 3,651
Alexxandr [17]
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3 years ago
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Answer:

The answer is "1"

Step-by-step explanation:

Let 5 roman numbers are:

\to I=1\\\\\to II=2\\\\\to III=3\\\\\to IV= 4\\\\\to V=5

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\to 1^2=1\\\\\to 2^2=4\\\\\to 3^2=6\\\\\to 4^2=16\\\\\to 5^2=25

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3 years ago
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finlep [7]

Step-by-step explanation:

due to the rules of crossing lines and their angles, the 2 angles opposite of each other must be equal.

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2 years ago
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