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3 years ago

28/1/4 equals what beats per minute

Mathematics

1 answer:

BigorU [14]3 years ago

8 0

Answer:

112

Step-by-step explanation:

marios heart rate and intensity level is 112

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The angle 0 lies in Quadrant II . <br>Cos 0 = <br><img src="https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexF

mel-nik [20]

Answer:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

Step-by-step explanation:

Since we are in quadrant 2, sine is positive. Since sine is positive and cosine is negative, then tangent is negative.

Now I'm going to find the sine value of this angle given using one of the Pythagorean Identities, namely $\sin^2(\theta)+\cos^2(\theta)=1$ .

If given $\cos(\theta)=\frac{-2}{3}$ , then we have $\sin^2(\theta)+(\frac{-2}{3})^2=1$ by substitution of $\cos(\theta)=\frac{-2}{3}$ .

Let's solve:

$\sin^2(\theta)+(\frac{-2}{3})^2=1$ for $\sin(\theta)$ .

$\sin^2(\theta)+\frac{4}{9}=1$

Subtract 4/9 on both sides:

$\sin^2(\theta)=1-\frac{4}{9}$

Simplify:

$\sin^2(\theta)=\frac{5}{9}$

Square root both sides:

$\sin(\theta)=\sqrt{\frac{5}{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{\sqrt{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{3}$

===========

$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{\sqrt{5}}{3}}{\frac{-2}{3}}$

Multiplying top and bottom by 3 gives:

$\tan(\theta)=\frac{\sqrt{5}}{-2}$

I'm going to move the factor of -1 to the top:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

7 0

3 years ago

Write the equation in slope-intercept form. y - 2 = 6 (x + 1)

SVEN [57.7K]

Answer:

Step-by-step explanation:

y-2=6x+6

y=6x+8

6 0

3 years ago

How long of a chain Can Jill make by attaching a 13 3/4 inch chain to a 15 2/4 in chain?

oksian1 [2.3K]

Answer:

A - 28 5/4

B - 29 1/4

D - 117/4

Step-by-step explanation:

5 0

3 years ago

Can somebody please help me with this problem??? I can't figure it out...

Lorico [155]

We can use the Pythagorean theorem to solve. (a² + b² = c²)

Fill in with what we know → 6² + b² = 11²

Simplify → 36 + b² = 121

Subtract 36 to both sides → 36 - 36 + b² = 121 - 36

Simplify → b² = 85

Take the root of both sides → √b² = √85

Simplify → b = 9.2195...

Round if necessary → 9.2195 = 9.22

Hence, b equals 9.2195.. (unrounded) or 9.22 (rounded).

Best of Luck!

7 0

3 years ago

A. Are the expressions 3(m−2) + 2(m−2) and 5(m−2) equivalent expressions?

Alex777 [14]

The answer is yes. If you solve both expressions it would be 5m-10.

8 0

3 years ago

Read 2 more answers