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azamat
3 years ago
14

Find the sum of 67.008 and 3.8

Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

69.808

Step-by-step explanation:

69.808

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An athlete's heart beats an average of 150 times per minute while running. How many times does the athlete's heart beat during a
e-lub [12.9K]
19500 times because
5 times 26 = 130 (how many minutes)
and
now just multiply how many minutes (130) times how many heart beats per minute (150) to get 19500
3 0
3 years ago
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Solve questions 15,16,17, and 18. Will give Brainliest!! Please!!! Show minimal work!
SVEN [57.7K]

15. The terminal side of \frac{3\pi}{2} intercepted the unit circle at:

(0,-1).

This implies that:

(\cos \frac{3\pi}{2}, \sin \frac{3\pi}{2}=(0,-1)

This implies that:

\cos \frac{3\pi}{2}=0,\:and\: \sin \frac{3\pi}{2}=-1

16) We have that: \cot \theta =-\frac{6}{7}.

We illustrate this on the right triangle and apply the Pythagoras Theorem as follows:

h^2=6^2+7^2

h^2=36+49

h^2=85

h=\sqrt{85}

Using the mnemonics SOH-CAH-TOAH, we have:

\sin \theta=-\frac{Opp}{Hyp}=-\frac{7}{\sqrt{85} }=-\frac{7\sqrt{85} }{85}

\cos \theta=\frac{Adj}{Hyp}=\frac{6}{\sqrt{85} }=\frac{6\sqrt{85} }{85}

\tan \theta=-\frac{Opp}{Adj}=-\frac{7}{6}}

\csc \theta=-\frac{Hyp}{Opp}=-\frac{\sqrt{85} }{7}

\sec \theta=\frac{Hyp}{Adj}=\frac{\sqrt{85} }{6}

17. We want to verify that: sin^4x-sin^2x=cos^4x-cos^2x

Verifying from the LHS

\sin^4x-sin^2x=(sin^2x)^2-sin^2x

Recall that from the Pythagorean identity:\sin^2x=1-\cos^2x

\sin^4x-sin^2x=(1-cos^2x)^2-(1-\cos^2x)

\sin^4x-sin^2x=1-2cos^2x+\cos^4x-1+\cos^2x

\sin^4x-sin^2x=\cos^4x-\cos^2x

18.  We have:

\tan^2x\sec^2x+2\sec^2x-\tan^2x=2

\tan^2x\sec^2x+2\sec^2x-\tan^2x-2=0

\sec^2x(\tan^2x+2)-1(\tan^2x+2)=0

(\sec^2x-1)(\tan^2x+2)=0

When (\sec^2x-1)=0, we have

x=0,\pi

When \tan^2x+2=0, \tan^2x=-2

We can see this is not defined for all real values of x.

6 0
3 years ago
Need help!! don't know what I'm doing
noname [10]

Answer: 4 squared + 2 squared is the least, 5 squared is in the middle, 6 squared - 6 is the greatest

Step-by-step explanation:

least in total=20

middle in total=25

greatest in total=30

8 0
3 years ago
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If g(x)=4x2-16 were shifter 5 units to the right and 2 down, what would the new equation be?
Tatiana [17]
G(x)=4x^2-16

To shift to the right we have to subtract from the value of x, in this case by 5 units...

h(x)=4(x-5)^2-16

h(x)=4(x^2-10x+25)-16

h(x)=4x^2-40x+100-16

h(x)=4x^2-40x+84

Now to shift the function downwards by 2 units we must subtract the constant 2 from h(x)

h(x)=4x^2-40x+84-2

h(x)=4x^2-40x+82
6 0
3 years ago
Plz help I have no idea how to do this find the value in simplest form
BigorU [14]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
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