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Darya [45]
2 years ago
8

The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground

.
How long must each cable be? ____ feet   
How far from the base of the tower should the anchors be placed? _____ feet   
​

Mathematics
1 answer:
Triss [41]2 years ago
4 0

9514 1404 393

Answer:

  • cable length: 300.2 ft
  • anchor distance: 193.0 ft

Step-by-step explanation:

The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.

  Sin = Opposite/Hypotenuse

  sin(50°) = (230 ft)/h

  h = (230 ft)/sin(50°) ≈ 300.24 ft

The length of the cable must be about 300.2 feet.

__

  Tan = Opposite/Adjacent

  tan(50°) = (230 ft)/d

  d = (230 ft)/tan(50°) ≈ 192.99 ft

The cable must be anchored about 193.0 ft from the tower.

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The three methods used to classify costs into their fixed and variable components includes:_____.
Allushta [10]

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.

A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

4 0
3 years ago
Read 2 more answers
Evaluate the expression: 5 + 3 × (5 - 2) 2<br><br> 16<br> 32<br> 36<br> 72
Charra [1.4K]
The answer would be 23 even though that is not one of the answer choices
4 0
3 years ago
1.) Consider the right triangle below in which a = 5 and b = 5.
patriot [66]

Answer:

c=7.07

Step-by-step explanation:

c²=a²+b²

c²=5²+5²

c²=25+25

c²=50

c=√50

c=7.07

B. c=7.07 (to nearest hundredth)

C. c=√50= 5√2 in radical form

3 0
2 years ago
Free response question please asap !
koban [17]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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Matt and his siblings bought their mom her favorite perfume for her birthday. They gave the cashier $80. The cashier gave them b
seropon [69]

Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

$10+$5+$0.80+$0.05=$15.85

the total amount of money that the cashier gave them back is $15.85

to find how much the perfume cost:

$80-$15.85=$64.15

so, the perfume cost $64.15

8 0
3 years ago
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