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Shkiper50 [21]
2 years ago
15

A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That pe

rson spots one of the air traffic controller at the window of the 132 foot tall tower. What is the angle of elevation to the nearest tenth of a degree?
Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

Answer:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x.

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Find the product.
4vir4ik [10]
Answer :

6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}

Step-by-step explanation :

To find the product of

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)

we now apply the law of indices

{a}^{m} \times {a}^{n} = {a}^{m+n}

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}
3 0
3 years ago
A car dealership pays a wholesome price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The car
cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit.  This means they want to make back the 12000 plus 32% of that.  what is 32% of 12000?  just multiply 12000 bty .32  In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus.  So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined.  I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that.  to find that just do the multiplication .065 * 15840 = 1029.60.  So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount.  This changes the sales price (by 10%) and the bonus they earn.  let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction.  so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

5 0
3 years ago
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
yKpoI14uk [10]

the axis of symmetry is x=2

8 0
3 years ago
The value of number plus 17 is less than 12
harina [27]

Answer:

x∠-5

Step-by-step explanation:

x+17∠12

x∠12-17

x∠-5

7 0
3 years ago
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Expand to write an equivalent expression: -1/4(-8x+12y)
lapo4ka [179]

Answer:

2x - 3y

Step-by-step explanation:

Distribute -1/4 to all the terms in the brackets.

-1/4(-8x) -1/4(12y)

2x - 3y

7 0
3 years ago
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