Reuben attached a wire between two poles on a hill as shown which is the closest to x the distance between the two poles
Reuben attached a wire between two poles on a hill - 1

Answers

Answer 1
Answer:

Answer:

75 ft

Step-by-step explanation:

Here we are given a right angled triangle with a known angle of 20°, length of the hypotenuse to be 80 and we are to find the length of the base x.

For that, we can use the formula for cosine for which we need an angle and the lengths of base and hypotenuse.

cos \alpha =(base)/(hypotenuse)

So putting in the given values to get:

cos 20=(x)/(80) \n\nx= cos 20*80\n\nx=75.17

Therefore, the value of x is the closest to 75 ft.


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1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

  • Distribute (1)/(6) through the parentheses :  (1)/(6)y +  (1)/(6)y + 2 - 2
  • Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) :  (1)/(6)y +  (1)/(6)y
  • Calculate the sum : (1)/(3) y

Solution : (1)/(3) y

Answer:

The answer is 1/6y+1/6(y+12)-2

Create a set A with multiples of 5 that are less than 33.

Answers

Answer:

A={5,10,15,20,25,30}

Step-by-step explanation:

Theres no explanation

Fast plz
The options are
-Is
-Is not

Answers

Answer:

the rate of change is constant

Step-by-step explanation:

Find the area of the figure to the nearest square unit.

Answers

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

  • The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

  • The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

  • The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Lena is on a two week bicycle trip. After 5 days she had ridden 212 miles. Express Lena’s rate as a unit rate

Answers

Answer:

42.4 miles per day

Step-by-step explanation:

212 miles ÷ 5 (days) = 42.4 miles

which means Lena can go at the rate of

42.4 miles per day

A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.How long was the original length of ribbon?

Answers

Answer:

The original length of the rope is 140

Step-by-step explanation:

21x (100/15)

Answer:

140

Step-by-step explanation:

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