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3 years ago

16 feet = ? meters ?

Mathematics

2 answers:

motikmotik3 years ago

7 0

Answer:

0.3048

Step-by-step explanation:

0.3048

kvv77 [185]3 years ago

6 0

Answer:

4.88 meters

Step-by-step explanation:

1 foot is approximately 0.3048 meters. 16(0.3048)= 4.88 meters (rounded to the nearest hundreth).

Hope this helped!

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Answer both with STEPS

Amanda [17]

Answer:

7 )

x = $\frac{3\sqrt{2} }{2}$

$y= 3$

8 )

$x=6\sqrt{6}$

$y= 9\sqrt{2}$

Step-by-step explanation:

7 ) 8)

In Δ ABC In Δ XYZ

∠ C = 45° ∠ X = 60°

∠ A = 90° ∠ Y = 90°

$AC= \frac{3\sqrt{2} }{2}$ $XY= 3\sqrt{6}$

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45° ......Angle sum property of a triangle i.e 180°

∴ Δ ABC is an Isosceles Triangle

∴ AC = AB = x = $\frac{3\sqrt{2} }{2}$

Now appplying Trignometry identity we get

$\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2} }{2}\\\\y= 3$

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30° . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

$\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}$

$\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\ y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}$

Now,

$\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}$

8 0

3 years ago

at the local grocery store ,a 16-ounce bottle of apple juice costs$3.20 what is the cost of the apple juice

SashulF [63]

$3.20 trick question.

3 0

3 years ago

Mr. Smith drew an obtuse triangle with side lengths of 4 cm, 6 cm, and 8 cm. In addition to being an obtuse triangle, what kind

Ulleksa [173]

Answer:

Scalene

Step-by-step explanation:

With this question, it's best to draw it out or we can use process of elimination.

We can rule out Right as the triangle is already obtuse (it can't be both).

We can rule out Equilateral as all the sides are not equal.

We can also rule out Isosceles as this triangle requires 2 sides to be equal, which clearly, they aren't.

Therefore, we are left with Scalene (C) which is your answer.

A scalene triangle has no identical sides or angles, and can be obtuse, right or acute.

Hope this helps,

Cate

3 0

3 years ago

A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p

irinina [24]

Answer: The equation is f(x) = $0.95^{x}$ ;

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = $0.95^{x}$

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = $0.95^{x}$

0.6 = $0.95^{x}$

log 0.6 = log $0.95^{x}$

x. log (0.95) = log (0.6)

x = $\frac{log 0.6}{log 0.95}$

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0

3 years ago

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