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3 years ago

(4x5)3 Using the exponential notion and simplify pls

Mathematics

2 answers:

damaskus [11]3 years ago

7 0

Evaluate or simplify?

Alinara [238K]3 years ago

5 0

It would be 8000 I think. I’m sorry if it’s wrong!

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NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2

Ostrovityanka [42]

Answer:

x = B. 18 ROOT 2/ROOT 3

Step-by-step explanation:

There are two Triangles in the diagram above.

Step 1

We would solve for Triangle A First

Using Trigonometric function Cosine

cos θ = adjacent /hypotenuse

θ = 30°

Adjacent = 9 units

Hypotenuse = unknown

cos 30= 9/ Hypothenuse

Cross Multiply

cos 30 × Hypotenuse = 9

Hypotenuse = 9 / cos 30

cos 30 in surd form = √3/2

Hypotenuse = 9/√3/2

Hypotenuse = 9 × 2/√3

= 18/√3 units

Step 2

We would solve for the upper triangle = Triangle B

We are looking for x

θ = 45°

For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B

Therefore ,

Hypotenuse for Triangle A = Adjacent side for Triangle B

θ = 45°

Adjacent = 18/√3 units

Hypotenuse = x = unknown

We would solve for this using Trigonometric function cosine

cos 45 = 18/√3 units / Hypothenuse

Cross Multiply

cos 45 × Hypotenuse = 18/√3 units

Hypotenuse = 18/√3 units / cos 45

cos 45 in surd form = 1/√2

Subtituting, we have

Hypotenuse (x) = 18/√3 units / 1/√2

Hypotenuse (x) = 18/√3 units ×√2/1

= 18× √2/ √3 units

= 18 √2/√3 units

Therefore x = Option B. 18 ROOT 2/ROOT 3

3 0

3 years ago

In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua

ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.

Thus , the speed of conveyor belt is,

= $\frac{300}{5} = 60 cans per minute$

and of smaller belt is,

= $\frac{300}{9} = \frac{100}{3} cans per minute$

Thus, when both are used together,

conveyor belt will transport (60)(t) cans and smaller belt will transport $( \frac{100}{3})$ (t) cans per minute.

Thus the equation becomes,

$300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)$

t = $\frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes$

3 0

3 years ago

What is m∠1?............

gogolik [260]

the answer is 148

hope that helped lol

8 0

3 years ago

6th grade math help me, please:)))

Lesechka [4]

Step-by-step explanation:

Hi there!!! 

The answer is option A. 

reason look in picture. 

if you want to solve it just cross multiply it,

 $60x = 240000 \times 100$ 

or,

 $x = 24000000 \div 60$ 

and the answer would be 400000.

Hope it helps...

5 0

4 years ago

Find the final amount for the investment given you initially have $5500 earning

stich3 [128]

Is the final value
P is the initial principle
r is the (annual) interest rate (as a decimal)
t is time (years)

10500%2Ae%5E%28%28.0625%2A25%29%29

5 0

3 years ago