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Brilliant_brown [7]
3 years ago
13

Write a multiplication equation and a division equation that can be used to answer how many 3/4's are in 2

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Given:

Two numbers \dfrac{3}{4} and 2.

To find:

How many \dfrac{3}{4}'s are in 2.

Solution:

Let x be number of \dfrac{3}{4}'s in 2.

\dfrac{3}{4}\times x=2

Divide both sides by \dfrac{3}{4}.

x=\dfrac{2}{\dfrac{3}{4}}

x=2\times \dfrac{4}{3}

x=\dfrac{8}{3}

Therefore, required multiplication equation is \dfrac{3}{4}\times x=2 and the required division equation is x=\dfrac{2}{\dfrac{3}{4}}.

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Convert:<br> 42 centigrams 6 milligrams =<br> 1<br> milligrams
Naddik [55]

Answer:

centigram is 'bigger.'

Well, if you look on the metric scale it is apparent that 1 mg = 0.1 (or 1/10) cg suggesting that a milligram is the smaller value.

6 0
3 years ago
A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degre
mixer [17]

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In the triangle ABC,

\tan 9^\circ=\dfrac{305}{x}

x=\dfrac{305}{\tan 9^\circ}

x=1925.6942

x\approx 1926

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

4 0
2 years ago
13. Solve 2/3 + 5/6 and put answer in simplest<br> form.<br> O A. 11/2<br> B.<br> c. 76<br> D.776
Tamiku [17]

Answer:

3/2 or 1 + 1/2

i havent done fractions in a long time but this is what i got from memory

you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2

8 0
2 years ago
Find the exact value of sin(cos^-1(4/5))
boyakko [2]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2762144

_______________


Let  \mathsf{\theta=cos^{-1}\!\left(\dfrac{4}{5}\right).}


\mathsf{0\le \theta\le\pi,}  because that is the range of the inverse cosine funcition.


Also,

\mathsf{cos\,\theta=cos\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]}\\\\\\&#10;\mathsf{cos\,\theta=\dfrac{4}{5}}\\\\\\ \mathsf{5\,cos\,\theta=4}


Square both sides and apply the fundamental trigonometric identity:

\mathsf{(5\,cos\,\theta)^2=4^2}\\\\&#10;\mathsf{5^2\,cos^2\,\theta=4^2}\\\\&#10;\mathsf{25\,cos^2\,\theta=16\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\&#10;\mathsf{25\cdot (1-sin^2\,\theta)=16}

\mathsf{25-25\,sin^2\,\theta=16}\\\\&#10;\mathsf{25-16=25\,sin^2\,\theta}\\\\&#10;\mathsf{9=25\,sin^2\,\theta}\\\\&#10;\mathsf{sin^2\,\theta=\dfrac{9}{25}}&#10;

\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{9}{25}}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{3^2}{5^2}}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\dfrac{3}{5}}


But \mathsf{0\le \theta\le\pi,} which means \theta lies either in the 1st or the 2nd quadrant. So \mathsf{sin\,\theta} is a positive number:

\mathsf{sin\,\theta=\dfrac{3}{5}}\\\\\\&#10;\therefore~~\mathsf{sin\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]=\dfrac{3}{5}\qquad\quad\checkmark}


I hope this helps. =)


Tags:  <em>inverse trigonometric function cosine sine cos sin trig trigonometry</em>

3 0
3 years ago
Read 2 more answers
Which description best describes the solution to the following system of equations?
Lunna [17]

Answer:

typing this answer to get points hope u get ur answer soon :)

Step-by-step explanation:

8 0
3 years ago
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