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Lyrx [107]
3 years ago
13

Solve (x+5)+4=16 by first subtracting 4 and then 5. Show your work and justify each step.

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
(x+5)+4=16\ \ \ subtract\ 4 \ and \ 5 \ to\ both\ sides \\\\x+5+4-5-4=16-4-5 \\\\x=7


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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl
sammy [17]

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

4 0
2 years ago
Jerry borrow $35,00 for 3 years at 7 1/2% simple interest rate how much interest rate he have to pay​
gregori [183]

Answer:

787.50

Step-by-step explanation:

interest=principle*rate*time/100

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

8 0
3 years ago
By visual inspection, determine the best-fitting regression model for the data
igor_vitrenko [27]

Answer:

it's quadratic

Step-by-step explanation:

sorry i answered late but i hope this helps other people

4 0
3 years ago
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
REY [17]

Answer:

x=\sqrt{10}

Step-by-step explanation:

The given equation is :

5-2x^2=-15

We need to solve it using inverse operations.

Subtract 5 from both sides of the equation.

5-2x^2-5=-15-5\\\\-2x^2=-20\\\\2x^2=20\\\\x^2=10\\\\x=\sqrt{10}

So, the solution of the given equation is x=\sqrt{10}.

4 0
3 years ago
The average height of 8 adults is 1.8 m. What is the sum of their heights? How do I work this out without a calculator?
Katen [24]
Well, the average of a sum of number is found by adding each given number and dividing that number by the amount of given numbers. 
Example: 5+4+3+8=20 
                and 20/4 = 5, the average of the numbers
Multiply 1.8 by 8.0 using this format:

1.8
x8.0
--------


Hope this helped
5 0
3 years ago
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