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3 years ago

Water is building up in a bathtub, After 3 minutes there are 12 gallons of water and after 5

Mathematics

2 answers:

Tcecarenko [31]3 years ago

8 0

Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

kolezko [41]3 years ago

7 0

Answer: i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

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A boat is heading towards a lighthouse, whose beacon-light is 126 feet above the water. From point AA, the boat’s crew measures

vredina [299]

Using the slope concept, it is found that the distance from point A to point B is of 887 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is of 126 feet.

At point A, the angle is of 6º, while the horizontal position is of $x_A$ , hence:

$\tan{6^\circ} = \frac{126}{x_A}$

$x_A = \frac{126}{\tan{6^\circ}}$

$x_A = 1198.8$

At point B, the angle is of 22º, while the horizontal position is of $x_B$ , hence:

$\tan{22^\circ} = \frac{126}{x_B}$

$x_B = \frac{126}{\tan{22^\circ}}$

$x_B = 311.9$

Hence, the distance in feet is of:

$d = x_A - x_B = 1198.8 - 311.9 \approx 887$

More can be learned about the slope concept at brainly.com/question/18090623

6 0

2 years ago

A Wooden board is leaning against the house the base of the board is 10 feet from the base of the house and the base of the boar

astra-53 [7]

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you need to remember the identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case you can identify that:

$adjacent=10\\hypotenuse=x$

$\alpha=35\°$

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

$cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20$

The length of the wooden board is: 12.20 feet.

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3 years ago

Given circle P, which of the following options are major arcs?

MakcuM [25]

If your asking to select all that apply,

The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.

ABC,BAD,DCB

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3 years ago

What times what is 216

ElenaW [278]

2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216

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3 years ago

For the polynomial below, find F(0.5). Round your answer to the nearest hundredth.

alexdok [17]

No it is not correct the answer is 14!

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3 years ago

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