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kogti [31]
2 years ago
7

Write 1.4 over 7 in simplest form

Mathematics
1 answer:
Nana76 [90]2 years ago
7 0
2/10 because 0.7/7 is equal to one tenth, so 1.4/7 is equal to 2/10
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3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3​
ankoles [38]

Given:

The equation is:

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

To find:

The value of a.

Solution:

We have,

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

On simplification, we get

(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}

(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}

On comparing both sides, we get

6-12a=-18

-12a=-18-6

a=\dfrac{-24}{-12}

a=2

And,

8-3a=2

-3a=2-8

a=\dfrac{-6}{-3}

a=2

Therefore, the value of a is 2.

3 0
2 years ago
The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
sasho [114]
14 and 11 are it dimensions

Hope this helps!
3 0
3 years ago
Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The container has material
Contact [7]
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>

</span>
4 0
3 years ago
Read 2 more answers
A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy
DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ tan(\phi) = \frac{opposite}{hypotenuse}

⇒  tan(\phi) = \frac{324}{54}

⇒ (\phi) = tan^-^1(\frac{324}{54})

⇒ \phi=80.53

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0
3 years ago
Which fraction is larger 7/16 or 51/100?
zaharov [31]
51/100 would be larger
From the first look, I already know half of 100 is fifty and 51 is greater than that
So when I looked at 7/16, I was looking for something greater than half, but 7 is greater than half of 16.
51/100 is your answer
5 0
3 years ago
Read 2 more answers
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