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3 years ago

6

Find the angle of elevation of the sun when a 12.5 meter tall telephone pole casts an 18 meter

1 answer:

MAVERICK [17]3 years ago

3 0

To answer this problem, you should know the formula that we will be using and this would be:
Angle of elevation = arc tan( (vertical height)/(length of the shadow)).

Plugging in the values in the formula. Here, this angle is:

arc tan (12.5/18) = <span>34.78 degrees</span>

The answer would be approximately 34.78 degrees

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stepan [7]

Answer:

$y = 250x$

Step-by-step explanation:

<em>The options are not given; however, the question can still be answered.</em>

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

<em>In the first 20 minutes, y = 250</em>

<em>In the next 20 minutes, y = 250 + 250 = 500</em>

<em>In the next 20 minutes, y = 500 + 250 = 750</em>

<em />

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

$T_n = a + (n - 1)d$

In this case;

$T_n = y$

$x = n$

$a = 250$

$d = 750 - 500 = 500 - 250 = 250$

Substitute these values in the above formula;

$y = 250 + (x - 1) * 250$

Open Bracket

$y = 250 + 250x - 250$

Collect Like Terms

$y = 250x + 250 - 250$

$y = 250x$

Hence; the graph that shows the given description is the graph with equation $y = 250x$

4 0

3 years ago

Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.

disa [49]

Answer:

The solutions $x^4-5x^2-36=0$ are $x=3,\:x=-3,\:x=2i,\:x=-2i$ and the x-intercepts of $y=x^4-5x^2-36$ are $x=3,\:x=-3$

Step-by-step explanation:

Finding the solutions to $x^4-5x^2-36$ means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with $u=x^2$ and $u^2=x^4$

$u^2-5u-36=0$

Solve by factoring

$\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)$

$\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)$

$\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)$

$u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)$

$\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)$

$u^2-5u-36=\left(u+4\right)\left(u-9\right)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

$\:u=-4,\:u=9$

Substitute back $u=x^2$ , solve for x

$x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)$

Apply the difference of squares formula

$x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)$

$(x-3)(x+3)(x^2+4)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

$\:x=3,\:x=-3,\:x=2i,\:x=-2i$

Because two of the solutions are complex roots the only x-intercepts are $x=3,\:x=-3$

3 0

3 years ago

I was confused on these<br> T-T

kondaur [170]

Answer:

Step-by-step explanation: The answer for 7: is 7/2

8: 28/5.

9: 9/4

10: 24/5

7 0

3 years ago

The table below shows a proportional relationship.

dimaraw [331]

Answer: I think it is -7 and +7

5 0

2 years ago

Solve the math problem

Lilit [14]

I believe the answer would be -4j^12 d^10

8 0

2 years ago