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3 years ago

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

1 answer:

3 0

The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
$\frac{x}{48} = \frac{5}{8}$
From here, we clear the value of x.
We have then:
$x = \frac{5}{8} *48$
Rewriting:
$x=30$
Answer:
the tree is 30 feet tall

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If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

dexar [7]

Answer:

The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.

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2 years ago

What are the coordinates of the midpoint of the segment whose endpoints are A (-1, -2) and B (6, 12)

Klio2033 [76]

<u>Answer:</u>

Mid point = $(\frac{5}{2} ,5)$

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

We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.

The coordinates of the end points are: A (-1, -2) and B (6, 12).

We know the formula of the mid point:

Mid point = $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

So putting in the given values to find the mid point of line segment AB:

Mid point = $(\frac{-1+6}{2} ,\frac{-2+12}{2} )$ = $(\frac{5}{2} ,5)$

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3 years ago

What does 1/8+1/9 equal

slavikrds [6]

The solution is 17/72

4 0

3 years ago

Find m\angle Bm∠Bm, angle, B.

Natalija [7]

Answer:

The answer is that the measure of ∠α is ≈ 20° when rounded to the nearest °

Step-by-step explanation:

To find the measure of ∠α you need to use the reciprocal of the formula for the law of sine which says that a/Sinα = b/Sinβ = c/Sin C. The reciprocal of this gives the new equation that states Sinα/a = Sinβ/b = Sin C/c, and this will help you to find the measure of the missing angle in °'s.

In the triangle line segment BC = 5units is opposite to point A & ∠α. Line segment AC = 7units is opposite of point and ∠β which is = 28°. And finally, the hypotenuse length and the values of point C & ∠C are unknown, so they aren't important to solving the problem. Knowing all this you can plug in all the known values into the new formula, and start working on figuring things out.

To find the measure ∠α, you first write down everything, putting things into their proper places, so since you're solving for sinα you want the equation to look like this:

sinα/5 = sin28°/7

Then for the second step, you want to isolate the sinα. (To get it by itself × both left and righthand sides by 5 to begin simplifying).

This leaves you with :

sinα = sin28°÷7 · (5) [And allows you to now solve for the right side of the equation, bringing us to our third step which is to once again simplify. So what you want to do is whip out your calculator and set it to degree mode, so you can find the of sin28° which is = 0.46947156278. Then ÷ that by 7, which will get you a number = 0.06706736611. Finally, take 0.06706736611 × 5, and you will get the value = 0.33533683056, as your final answer in the third step]

Your equation should now look something like this :

sinα = 0.06706736611 × 5 or 0.33533683056

Moving onto the fourth step, you need to use the inverse of the trig function of sin to get your absolute value. (remember the inverse of sine or acrsin = sin^-1) Here you will need to multiply sin^-1 by 0.33533683056.

And also by now, you'll want to stop writing the equation as sinα = sin^-1 ×

0.33533683056, otherwise you won't get an answer, instead, you'll need to write:

α = sin^-1 × 0.33533683056

So once you do that for the fifth and final step, you'll need to simplify the equation on the righthand side one last time, and you should get the answer of α = 19.5930217327°. Which when rounded to the nearest ° is ≈ 20°.

7 0

2 years ago

Can someone write me this?

maxonik [38]

Answer:

write me the question oñ

5 0

2 years ago