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White raven [17]
3 years ago
6

It’s 59 and subtract it from 12 times the number the result is the square of two less than the numberl

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Step-by-step explanation:

let the number be x

12x-59=x²-2

12x-x²=59-2

12x-x²=57

12x-57=x²

x=root of 12x-57

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You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression t
MatroZZZ [7]

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

<h3>What is the Sine and Tangent Ratios?</h3>

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

brainly.com/question/24137232

#SPJ1

8 0
2 years ago
A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of
MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent  rate of leakage.

Number of gallons of water left = 35 gallons – m minutes  1 gallons per minute Hence, the required expression is 35 – m

5 0
3 years ago
Equations must have combining like terms answer must be x=12
TEA [102]

Answer:

suppose

2x-x=12

x=12this is imagery answee

7 0
3 years ago
Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following:
Katyanochek1 [597]

9514 1404 393

Answer:

  C. Obtuse

Step-by-step explanation:

The "form factor" I use for this is ...

  a^2 + b^2 - c^2 = 6^2 + 8^2 - 11^2 = 36 +64 -121 = -21

The value is negative, indicating an OBTUSE triangle.

__

<em>Additional comment</em>

In this expression, 'a' and 'b' are the two shortest sides (in no particular order) and 'c' is the longest side. The interpretation is ...

  negative — obtuse

  zero — right

  positive — acute

__

If you're familiar with Pythagorean triples, you know that the 3-4-5 right triangle triple can be doubled to give 6-8-10. The long side of 11 is longer than the hypotenuse for the right triangle, so would correspond to a largest angle greater than 90°. The 6-8-11 triangle would be OBTUSE.

5 0
3 years ago
Read 2 more answers
Help, I still cannot wrap my head around this
atroni [7]

Answer:

9 inches.

Step-by-step explanation:

Fun question! The length of a space diagonal for a cube is \sqrt{3*sidelength^2}

Thus, the first cube has a side diagonal of \sqrt{3}

The next cube would have a side diagonal of 3

The third cube would have a side diagonal of 3\sqrt{3}

And the fourth cube would have a side diagonal of 9.

Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.

7 0
3 years ago
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