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3 years ago

Han and tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cormeal

Mathematics

1 answer:

Artemon [7]3 years ago

4 0

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Fine the measure of the angle formed by the radius and the side of a regular dodecagon.

Elden [556K]

Answer:

Option D.75°

Step-by-step explanation:

we know that

The sum of the interior angles of a regular dodecagon is equal to

$S=(n-2)*180$

where

n is the number of sides

In this problem

n=12 sides

substitute

$S=(12-2)*180$

$S=1,800\°$

Find the measure of each interior angle

Divide the sum of the interior angles by the number of sides

$1,800\°/12=150\°$

The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle

therefore

$150\°/2=75\°$

3 0

3 years ago

If the tree grows an additional 10 feet, what is the new angle of

avanturin [10]

Answer:

B) 47.1°

Step-by-step explanation:

The tangent relation is useful here.

Tan = Opposite/Adjacent

The original height of the tree is the side of the triangle that is opposite the angle of elevation:

Opposite = Adjacent × Tan

original height = (25 ft)×tan(34°) ≈ 16.863 ft

After growing an additional 10 ft, the tree has a height of ...

16.863 ft + 10 ft = 26.863 ft

Then the angle of elevation is found from ...

tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451

angle of elevation = arctan(1.07451) ≈ 47.057°

The angle of elevation to the top of the tree is about 47.1°.

6 0

2 years ago

20 POINTS AND BRAINLIEST

emmainna [20.7K]

To solve this equation we must first plug in 5 for x.

$\frac{1}{3}$ <span> (5 - 4x)
</span>↓
$\frac{1}{3}$ (5 - 4 · 5)

The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.

$\frac{1}{3}$ (5 - 4 · 5)

$\frac{1}{3}$ (5 - 20)

The next step would be to subtract both of the numbers within the parenthesis.

$\frac{1}{3}$ (-15)

Now we must multiply.

- $\frac{1}{3}$ · 15 = - $\frac{1×15}{3}$

- $\frac{15}{3}$

Now we simplify our answer to get our final answer.

-5

8 0

4 years ago

Buddy and bubbles are two of Santa’s elves. Buddy can make 15 toys per hour while Bubbles can make 12 toys per hour. Write two e

igor_vitrenko [27]

Answer:

y=27x

Step-by-step explanation:

If Buddy makes 15 toys per hour we can use the expression [15x=y] (let x be # of hours worked). If Bubbles makes 12 toys per hour we can use the expression [12x=y]. To find out the number of toys they make together we can just find the total number of toys they make in an hour. (Combine the 2 equations).

15x+12x=y

27x=y

5 0

3 years ago

I think of a number I multiply it by 2,add 50 and my answer is 74 what was my number

alisha [4.7K]

74-50 is 24. 24/2 is 12. your number was 12.

6 0

3 years ago

Read 2 more answers