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babunello [35]
3 years ago
7

Which answer is the best estimate of g based on rounding the constants and coefficients in the equation to the nearest integer?

4.25(g – 7.95) = 23.88
Mathematics
1 answer:
vfiekz [6]3 years ago
3 0
Best estimate when rounding...
4(g - 8) = 24
4g - 32 = 24
4g = 24 + 32
4g = 56
g = 56/4
g = 14 <===
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Explain how to use the distributive property to find the<br> product (3)(45)
jasenka [17]

Answer:

135

Step-by-step explanation:

in order to find the distributive property you multiply both numbers.

So for example, You just multiply 3 times 45 = 135

4 0
3 years ago
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Kristen goes on a cave tour with her family. they climb down to 8 meters below ground level
dybincka [34]

Answer:

16 meters

Step-by-step explanation:

Step 1:

They climbed 8 meters down

Then 8 meters up to get back to ground level.

Step 2:

8+8=16

5 0
3 years ago
(6.02*10^23)/(2*10^19)<br> what is the simplified answer
EastWind [94]

Answer:

= 4.875 × 105

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve the proportion. s+1/4=4/8
Murrr4er [49]
<span>5*s-(4*s)-(1/2) = -1/4-(4/8) // + -1/4-(4/8)

5*s-(4*s)-(1/2)-(-1/4)+4/8 = 0

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s+1/4 = 0 // - 1/4

s = -1/4

s = -1/4
</span>
5 0
3 years ago
Read 2 more answers
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