ANSWER: V=883.125 in^3
EXPLANATION:
*The radius is had the diameter. So, the radius is 7.5 because the diameter is 15.
V = 4/3 πr³
V = 4/3 (3.14)(7.5)³
V= 1766.25in³
*You found the volume of the entire sphere (1766.25in³). To find half, you divide by 2!
V=1766.25in³/2
V=883.125in³
There were <u>14 boys</u> at Mina's disco for her birthday.
<h3>What is a ratio?</h3>
A ratio is a quantitative value that shows the number of times a certain value is in another value.
<h3>The number of boys at the disco can be calculated as shown below:</h3>
It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
<em>2x + 3x = 35</em>
<em>⇒ x = 35/5</em>
<em>⇒ x = </em><u><em>7</em></u>
<u />
Total number of boys = 2x
= 2 * 7
= <u>14 boys</u>
<u />
Therefore the total number of boys at the disco is <u>14</u>.
Learn more about ratios here: brainly.com/question/13513438
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Combine like terms
2a² + 6a² = 8a²
8a² - 5
Answer:
Step-by-step explanation:
Drop an angle bisector from angle C until it intersects AB. Because of the symmetry of the triangles created, you will form two small right angle congruent triangles. Call the point of intersection with AB = D. In other words the bisector of <C is CD.
CB = AC Isosceles triangle
CD / CB = Sin(38.5)
CD=?
CB = 35
CD / 35 = Sin(38.5) Multiply both sides by 35
CD = 35 * sin(38.5)
CD = 21.79
BD/CB = Cos(38.5)
BD = CB* Cos(38.5)
BD = 35 * Cos (38.5)
BD = 27.39
Area = CD * BA/2
BA/2 = DB
Area = CD * BD
Area = 21.79 * 27.39
Area = 596.9
Answer:
The answers are 15,25,35 and 45
Step-by-step explanation:
The graph is only something to waste your time,use the <em><u>equ</u></em><em><u>ation</u></em> to find the answers for each part
<em><u>TOTAL</u></em><em><u> </u></em><em><u>AMO</u></em><em><u>UNT</u></em><em><u> (</u></em><em><u>t</u></em><em><u>)</u></em><u> </u> can be calculated by subtracting 10 from the <em><u>ORI</u></em><em><u>GINAL</u></em><em><u> </u></em><em><u>PRI</u></em><em><u>CE</u></em><em><u> (</u></em><em><u>p</u></em><em><u>)</u></em>.
That is the equation t=p-10