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Wittaler [7]
3 years ago
10

You stand 100’ from the base of a tower. The tower is 1,058’ tall. What is the angle from where you are standing to the top of t

he tower?
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer: 85°


Step-by-step explanation:

Trig functions are remembered by


SOD CAD TOA,


sin = opposite / distance, cos = adjacent / distance, and tan = opposite / adjacent.


Here we have the adjacent side = 100, opposite side = 1058. The tower would fall over if it weren't vertical, and we assume the area is flat and level. So tangent of the answer is 10.58.


We need the angle whose tangent is 10.58.

On Android calculator you swipe left to get the trig functions, tap INV, if RAD is showing tap it to change it to DEG, and tap tan⁻¹. Swipe right and you see tan⁻¹(. Enter 10.58 and the result shows 84.6005606. If it shows 1.47655833 tap the RAD in upper left to change to DEG.

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A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few
Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

7 0
3 years ago
Write an algebraic equation that models the following statement.
8_murik_8 [283]
2(x +4)-6(q/9)

The slash represents a division sign.
5 0
2 years ago
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what
lora16 [44]

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

7 0
2 years ago
Tell whether this is a linear relationship, is not one, or it’s impossible to tell. Stan earned $15 on Monday, $45 on Tuesday, W
viktelen [127]

Answer:

Ir is impossible to tell.

Step-by-step explanation:

We are given that,

Stan earns $15 on Monday, $45 on Tuesday, Wednesday and Thursday and $60 from Monday to Friday this week.

Since, we do not have the individual earnings for each day, we are unable to plot the graph of the given relationship.

So, without graph it is impossible to state whether the relationship is linear or not.

8 0
3 years ago
Read 2 more answers
A right triangle has side lengths 7, 24, and 25 as shown below.
ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

4 0
2 years ago
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