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Law Incorporation [45]
2 years ago
13

12 out of 20 students prefer having a study hall. What percentage of students prefer study hall?

Mathematics
2 answers:
Lyrx [107]2 years ago
6 0

Answer:

2.4 %

Step-by-step explanation:

magic *poof*

Masja [62]2 years ago
3 0
12 out of 20
Your answer is the question
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The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
Lena [83]
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix? 
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>

<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>

<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
8 0
3 years ago
Read 2 more answers
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang
kherson [118]

Answer:

<h3>AB ≈ 70m</h3>

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

5 0
3 years ago
The boss has to pick five people for the committee of 28 people. how many different ways can he choose the committe ?
stealth61 [152]
The order does not matter (A,B,C same as B,C,A) so it's a combination 28 choose 5.
8 0
2 years ago
PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP
worty [1.4K]

Answer:

\purple { \bold{ \frac{   (x   - 3)}{3x - 18}  }}

Step-by-step explanation:

\frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2}  + x - 12}{3x - 18}  \\  \\  = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2}  + 4x - 3x - 12}{3(x - 6)}  \\  \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x  + 4)}{3(x - 6)}  \\  \\ = \frac{ \cancel{(x + 3)}}{ (x + 4)  \cancel{(x + 3)} } . \frac{ (x + 4) (x   - 3)}{3(x - 6)}  \\  \\ = \frac{1}{ \cancel{ (x + 4)}   } . \frac{  \cancel{ (x + 4)} (x   - 3)}{3(x - 6)}  \\  \\    \red{ \bold{= \frac{   (x   - 3)}{3x - 18}  }}\\  \\

6 0
3 years ago
I swear to god this is urgent:
Illusion [34]

the​ line-of-sight distance from the television camera to the base of the stadium​ is 1449.28 m .

<u>Step-by-step explanation:</u>

A blimp provides aerial television views of a baseball game. The television camera sights the stadium at a 12° angle of depression. The altitude of the blimp is 300 m. We need to find What is the​ line-of-sight distance from the television camera to the base of the stadium​ . Let's find out:

According to question , given scenario is in a right angle triangle where

Perpendicular=300\\Hypotenuse=?\\x=12 , where x is angle of depression.

We know that sinx= \frac{Perpendicular}{Hypotenuse}

⇒  sin12= \frac{300}{Hypotenuse}

⇒  Hypotenuse= \frac{300}{Sin12}

⇒  Hypotenuse= \frac{300}{0.207}

⇒  Hypotenuse= 1449.28m

Therefore , the​ line-of-sight distance from the television camera to the base of the stadium​ is 1449.28 m .

6 0
3 years ago
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