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babunello [35]
3 years ago
13

Which one is it? please help :)​

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Calculator

4vir4ik [10]3 years ago
4 0

Answer:

I think your answer is correct but i could be wrong

Step-by-step explanation:

(I am probably wrong) Have a good night tho :)

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Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill

\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}

6 0
3 years ago
Plz help me solve this algebra
krek1111 [17]

Answer:

Step-by-step explanation:

16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}

6 0
3 years ago
What is (-10/-25)5+24x85=
Marina86 [1]

Answer:

2042

Step-by-step explanation:

Do you need a step by step?

4 0
3 years ago
Read 2 more answers
Grant is trying to make money to help pay for college by taking a job with Brian’s bike taxis if Baltimore. He has an agreement
alexandr402 [8]

Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day

<em><u>Solution:</u></em>

Given that Grant has an agreement with Brian to rent the bike for $35.00 a night

He charges customers $3.75 for every mile he transports them

Grant needs to make at least $15.00 a day

To find: miles needed to ride

From given question, He charges customers $3.75 for every mile he transports them

So if he transports for "x" miles he would get,

\$ 3.75 \times x = \$ 3.75x

So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day

So we can frame a inequality as:

3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33

So he needs to ride atleast 13.33 miles to male atleast $ 15.00 a day

7 0
4 years ago
Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively. If at the
lozanna [386]

Answer:

ghs 20,000

Step-by-step explanation:

If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9

Let Boadu share be x

Let ansah share be y

If at the end of the year ansah received ghs5,000 more than Boadu, then;

y = 5000 + x

Boadu share = 4/9 * (x+y)

x+y is the total amount shared

x = 4/9 * (x+y)

Substitute y = 5000 + x

9x = 4(x+y)

9x = 4x + 4y

9x - 4x = 4y

5x = 4y

5x = 4(5000+x)

5x = 20,000 + 4x

5x-4x = 20,000

x = 20,000

Hence Boadu share is ghs 20,000

3 0
3 years ago
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