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daser333 [38]
3 years ago
5

Name

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

3 bars

Step-by-step explanation:

Total no. of gold bars = 24.

Fraction of bar captain allocated to himself = 1/3 of the bars

no. of bars he allocated to himself =  1/3 of 24 = 1/3 * 24 = 8

Fraction of bar captain allocated to his friend bill = 1/4 of the bars

no. of bars he allocated to his friend bill =  1/4 of 24 = 1/4 * 24 = 6

No . of bars captain allocated to rest of crew = 7

Total no of bars which are allocated altogether =

no. of bars he allocated to himself +no. of bars he allocated to his friend bill +No . of bars captain allocated to rest of crew

substituting the value of above summation variable as calculated above we have

Total no of bars which are allocated altogether = 8+6+7 = 21

No. of bars left = total no. of bars - Total no of bars which are allocated altogether = 24 - 21 = 3

Thus 3 gold bars are left.

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The focus of a parabola is (-3,-5) The directrix of the parabola is y=2
cricket20 [7]

Check the picture below.

so the focus point is there, and the directrix is above it, meaning is a vertical parabola and is opening downwards, since the parabola opens up towards the focus.

now, the vertex is half-way between those two guys, at a "p" distance from either one, if we move over the y-axis from -5 to +2, we have 7 units, half-way is 3.5 units, and that puts us at -1.5 or -1½, as you see in the picture, so the vertex is then at (-3 , -1½).

so the distance from the vertex to the focus point  is then 3½ units, however since the parabola is opening downwards, "p" is negative, thus "p = 3½".

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{using this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \begin{cases} h=-3\\ k=-\frac{3}{2}\\[0.7em] p=-\frac{7}{2} \end{cases}\implies 4\left( -\cfrac{7}{2} \right)\left[ y-\left(-\cfrac{3}{2} \right) \right]=\left[ x-\left( -3 \right) \right]^2 \\\\\\ -14\left( y+\cfrac{3}{2} \right)=(x+3)^2\implies y+\cfrac{3}{2} =-\cfrac{(x+3)^2}{14} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{14}(x+3)^2-\cfrac{3}{2}~\hfill

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3 years ago
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jeka57 [31]
3 & 3
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The tallest television transmitting tower in the world is in North Dakota. From a point on level ground 5280 feet​ (one mile) fr
scoundrel [369]

Answer:

2975 foot

Step-by-step explanation:

Let the tower be BC as shown in the diagram.

The distance from a point A on the level ground to the base B of the tower is 5280 feet.

We want to determine the height BC of the tower.

Using trigonometry

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BC= 5280 X Tan 29.4°

=2975.12709969007

The height of the tower =2975 foot(to the nearest foot)

8 0
3 years ago
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