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Lilit [14]
3 years ago
11

I need help with math

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
Tell me the problems and i may be able to help

You might be interested in
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark
EleoNora [17]

The balloon's vertical distance above the ground is 430 feet.

<h3>What is the angle of depression?</h3>

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.

The angle of depression = 39°

The base = 532

We need to find the vertical distance consider perpendicular.

\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80

Therefore, the balloon's vertical distance above the ground is 430.80 feet.

Learn more about the angle of depression here;

brainly.com/question/23931413

#SPJ1

4 0
2 years ago
Order the following decimals in ascending order:<br> 1.305, 1.35, 1.053, 1.53
PSYCHO15rus [73]
1.053, 1.305, 1.350, 1.53
7 0
1 year ago
A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b
mixer [17]

Answer:

  $4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

  (5/4x)(x²) = 640 ft³

  x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

  x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

  64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

  c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

  c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

__

Algebraically, you can set the derivative to zero to find the value of x.

  dc/dx = 0 = 50x -25600/x²

  512 = x³ . . . . multiply by x²/50 and add 512

  8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

8 0
3 years ago
Need help with this
Yakvenalex [24]
The lesser of the numbers given are -16 because -16 is more negative.
3 0
3 years ago
Read 2 more answers
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
AlexFokin [52]

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

6 0
3 years ago
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