From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building? ​

Answers

Answer 1
Answer:

Answer:

188 m

Step-by-step explanation:

\tan(12)  =  (40)/(x)  \n x =  (40)/( \tan(12) )  \n x = 188

Answer 2
Answer:

Answer:

I think that the other answer is WRONG

tan(12) = (x)/(40)

x = tan(12)*40 = 8.5

Step-by-step explanation:

(sin\left(78\right))/(40)=(sin\left(12\right))/(x) = 8.5


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The weights of four packets of sugar are shown below:Packet A: 4.35 pounds
Packet B: 4.42 pounds
Packet C: 4.48 pounds
Packet D: 4.39 pounds


Sandy has a scale that measures to the nearest tenth of a pound. If Sandy weighs each packet on her scale, the heaviest reading will be _____ pounds.

Answers

4.35=4.4
4.42=4.4
4.48=4.5
4.39=4.4

Highest will be 4.5 pounds.

Answer:

packet C : 4.50 pounds

Step-by-step explanation:

Angle E has what measurement according to the protractor?

Answers

Answer:

Angle E has 120\°

Step-by-step explanation:

we know that

Observing the figure, according to the protractor

Angle B has 30\°

Angle C has 50\°

Angle D has 90\°

Angle E has 120\°

Angle F has 140\°

Write a whole number and a fraction greater than 1 to name the part filled.Think : 1 container = 12 boxes with 4 shaded circles in each

Answers

I'll answer the second question it is 2x4 which = 8 boxes

What is the slope of the linear function of (6 , 2) (9 , 8)

Answers

Answer:

1/2

Step-by-step explanation:

The formula for slope is (y_(2)-y_(1)  )/(x_(2)-x_(1)  )

9-6=3

8-2=6

3/6=1/2

https://app31.studyisland.com/userFiles/nc6line1.gif Which of the following are alternate exterior angles? A. ∠B and ∠G B. ∠E and ∠H C. ∠A and ∠E

Answers

B. ∠E and ∠H are alternate exterior angles

the perimeter of a rectangle is 120 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle.

Answers

Rectangle with perimeter 120m has its length and breadth 40 m and 20 m respectively.

Dimension of rectangle : 40 × 20

Given, that perimeter of rectangle is 120 m.

Now, perimeter of rectangle is given by:

P = 2(l+b)

l = Length of rectangle .

b = Breadth of rectangle.

Let the breadth of rectangle be 'x' m.

Then length will be (x+20) m.

Substitute the values in the perimeter formula,

P = 2(l+b)\n120 = 2(x+20 + x)\n120 = 2(2x + 20)\n60 = 2x + 20\nx = 20

Thus the breadth of rectangle is 20 m.

Length of rectangle is 20 m more than the breadth.

Length = 20 + 20

Length = 40 m.

Therefore the dimensions of rectangle is 40 × 20.

Know more about rectangle,

brainly.com/question/29123947

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120= 2(w+20) + 2w
120= 2w+40+2w
120= 40+4w
80=4w
w=20
Length:
w+20
20+20
40
Width: 20
So the dimensions are:
Length is 40
Width is 20