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Grace [21]
3 years ago
5

Can someone PLEASE help me out??!!!!!!!

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

\huge\boxed{66.42 \textdegree}

Step-by-step explanation:

In order to solve for this missing angle, we can use trigonometry.

With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.

Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)

Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.

The adjacent side over our hypotenuse will be \frac{2}{5} since 2 is the length of the adjacent and 5 is the length of the hypotenuse.

We know have the equation cos^{-1}(B) = \frac{2}{5}.

We now find what \frac{2}{5} is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.

When we do this, we get the number 66.42182152 etc. Rounding to the nearest hundredth gets us 66.42.

Hope this helped!

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A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If
VARVARA [1.3K]

Answer:

It’s 60miles

Step-by-step explanation:

We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is ...

 time1 = distance/speed

 time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is ...

 time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have ...

 time2 = 1 + time1

 d/10 = 1 + d/12

 6d = 60 + 5d . . . . multiply by 60

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The one-way distance is 60 miles.

7 0
2 years ago
Is y=7x-3 have a proportional relationship
Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2​__{−6,−3,−5,−1}
Misha Larkins [42]

Answer:

−2​ ∉ {−6,−3,−5,−1}

Step-by-step explanation:

Given

Set = {−6,−3,−5,−1}

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Required

The interpretation of the question is to state if -2 is an element of the given set or not

The first thing to do is to check through the set to count the number of occurrence of -2

Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0

This implies that -2 is not an element of the given set and this is represented by the symbol ∉

Hence:

−2​ ∉ {−6,−3,−5,−1}

7 0
3 years ago
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Serhud [2]

Answer:

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Step-by-step explanation:

x^3\left(2x^2+3x\right)

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<u>OAmalOHopeO</u>

5 0
3 years ago
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JulsSmile [24]
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3 0
3 years ago
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