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Leokris [45]
2 years ago
12

WILL VOTE BRAINLIEST!!!

Mathematics
1 answer:
Tasya [4]2 years ago
3 0
Add <span>6</span> to both sides
<span>2x-6+6=4+6</span>
 Simplify <span>4<span>+6</span></span> to <span>10</span>
<span>2x=10</span>
 Divide both sides by <span>2</span>
<span>2x/2=10/2</span>
 Simplify 10/2
<span><span>x=<span>5</span></span><span>
</span></span>
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The surface area of a sphere is 113.04 mm2. What is the volume of the sphere? Use 3.14 for π and round to the nearest hundredth.
Phoenix [80]
By definition, the surface area of the sphere is given by:
 A = (4) * ( \pi ) * (r ^ 2)&#10; 
 Where,
 r: sphere radio
 Clearing r we have:
 r =  \sqrt{A / (4 *  \pi )} &#10;&#10;
 Substituting values:
 r = \sqrt{113.04 / (4 * 3.14 )}
 r = 3 mm&#10;
 Then, the volume of the sphere is given by:
 V = (4/3) * (\pi) * (r ^ 3)&#10; 
 Substituting values we have:
 V = (4/3) * (3.14) * (3 ^ 3)&#10;&#10; V = 113.04 mm ^ 3
 Answer:
 
the volume of the sphere is:
 V = 113.04 mm ^ 3
5 0
2 years ago
Read 2 more answers
Given the formula k = Lmn what is the formula for m
Luden [163]
\sf Solve \ for \ m \\  \\ k = lmn \\  \\ Flip \ equation  \\  \\ lmn = k \\  \\ Divide \ both \ sides \ by \ ln \\  \\  \dfrac{lmn}{ln} =  \dfrac{k}{ln}  \\  \\ m =  \dfrac{k}{ln}
8 0
3 years ago
Read 2 more answers
Find the area of a regular decagon with an apothem of 5 meters and a side length of3.25 meter. Round to the nearest tenth
topjm [15]
We know that

<span>The regular decagon can be divided into 10 congruent triangles
</span>so
area regular decagon=10*[area of one triangle]

area triangle=b*h/2
where
b=3.25 m
h is the aphotem
h=5 m
area=3.25*5/2----> area=8.125 m²

area regular decagon=10*[8.125]----> 81.25 m²

Area=81.3 m²

the answer is
81.3 m²
6 0
2 years ago
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
harina [27]

well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year.  We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r

3 0
2 years ago
Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of ch
ale4655 [162]

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = \frac{\triangle y}{\triangle x}

                                                                 = \frac{260-140}{12-6}

                                                                 = \frac{120}{6}

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

5 0
3 years ago
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