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Juliette [100K]
3 years ago
9

Find the missing side

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

Naddika [18.5K]3 years ago
6 0

Answer:

12.9

Step-by-step explanation:

cos(44) = x/18

x = cos(44) * 18

x = 12.9

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tia_tia [17]

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it would or might be $103.25

4 0
3 years ago
A recipe that serves four people calls for 2 1/4 cups of butter. How many cups of butter needed to serve 10 people? Show your wo
Eduardwww [97]

Answer:

5 5/8

Step-by-step explanation:

2 1/4 * 2 = 4 1/2

2 1/4 / 2 = 1 1/8

4 4/8 + 1 1/8 = 5 5/8

7 0
3 years ago
How do you write an equation for....
Ymorist [56]

Answer:

The blank would be 64 and the answer would be 16

Step-by-step explanation:

Because we are looking for 25% of something, we simply multiply .25 by whatever that number is. So we start with

.25 * ________

And then we put the number in

.25 * 64 = 16

7 0
3 years ago
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
ira [324]

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

8 0
3 years ago
Determine side x. Round to the nearest unit. 20 9 12 5
tatyana61 [14]

Answer:

12

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

6 0
3 years ago
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