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rosijanka [135]
4 years ago
6

What decimal is equivalent to 13/11​

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
8 0

Answer:

1.1818...

Step-by-step explanation:

Divide 13 by 11

13 ÷ 11 = 1.1818...

Answer: 1.1818...

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Melissa's service charge at a beauty salon
satela [25.4K]

Answer:

melissa pays 18.144

Step-by-step explanation:

8 0
3 years ago
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
denis23 [38]

Answer:

\boxed {\boxed {\sf About \ 28.36 \ meters }}

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

  • sin(θ)= opposite/hypotenuse
  • cos(θ)= adjacent/hypotenuse
  • tan(θ)= opposite/adjacent

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

tan(\Theta)=\frac{opposite}{adjacent}

  • opposite=x
  • adjacent=5 m
  • θ=80

Substitute in the known variables.

tan(80)=\frac{x}{5 \ m }

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m

5 \ m* tan(80)=x

5 \ m *5.67128182=x

28.3564091 \ m = x

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

28.36 \ m \approx x

The tree is about <u>28.36 meters tall.</u>

3 0
3 years ago
A square has an area of 16,900 square feet what is the length of one side of the square?
Paha777 [63]
Let a be the length of the square, then the area is a^2. Hence, the side is the positive root of the area, which is a=\sqrt{16900}=\boxed{130 feet}
8 0
3 years ago
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Che
IrinaK [193]

Answer:

-7/4 =x

Step-by-step explanation:

x-2(x+3) = 4(2x+3) -(x+4)

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

6 0
3 years ago
Read 2 more answers
Between which pair of numbers is the exact product of 379 and 8
Masja [62]
I am assuming this is multiple choice, but no answers were provided. If you multiply 379 by 8, you would get 3032.
6 0
3 years ago
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