Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>
The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:
The actual distance between the store and the dungeon is 4 kilometers.
This means that:
So, we have:
Represent the required actual distance with x.
So, we have:
Express as fraction
Multiply both sides by 17
Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at:
brainly.com/question/24579126
Answer:
The number of musicians in the school is 3 times the number of athletes
Step-by-step explanation:
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<span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2
</span><span> x = 13/5 = 2.600
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x^2-23*x-(-26)=0
Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0
</span><span> Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>
The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.
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-130
+
-1
=
-131
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-65
+
-2
=
-67
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-26
+
-5
=
-31
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-13
+
-10
=
-23
That's it</span></span>
Answer:
15 times
Step-by-step explanation:
If he bats 50 times, he will be expected to reach first base "30% of the time".
We simply need to find "what is 30% of 50?"
We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.
Converting percentage to decimal is very simple! We divide by 100. That's it!
So, we have:
30% = 30/100 = 0.3
Now we do the multiplication:
0.3 * 50 = 15
So, the player would reach first base 15 times (out of 50 times of batting)
