Help please asap!!!!only the correct answet please

Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 14 small cakes per hour. The kitchen i

PolarNik [594]

Answer:

8

Step-by-step explanation:

In 2 hours

1 cook makes 10 large cakes

24/10 = 2.4

You need 3 cooks to make the large cakes.

In 2 hours

1 cook makes 28 small cakes

130/28 = 4.64

You need 5 cooks to make the small cakes.

3 + 5 = 8

Answer: 8

5 0

3 years ago

What is the area figure

pantera1 [17]

The area of a triangle is:
$A= \frac{1}{2}bh$

To solve for the base, you'll have to use trigonometric ratios. Since thee base is the opposite of the angle we are given, the trigonometric ratio that deals with opposite is sin(x), which is opposite/hypotenuse. So, let's set it up (x is the base):
$sin(45) = \frac{x}{24}$

Solve for x:
$24sin(45) = x$

Simplify (sin of 45 is a common ratio):
$x = \frac{24 \sqrt{2} }{2} = 12 \sqrt{2}$

Then, for the height, it's the side adjacent to angle given. We could use the Pythagorean theorem, but it's much easier and faster to use another trigonometric ratio. Unless you are told to use the Pythagorean Theorem, in which case tell me. So, the trigonometric ratio that deals with adjacent and hypotenuse is cos(x), which is adjacent over hypotenuse. Let's set it up (x is the height):
$cos(45) = \frac{x}{24}$

Simplify and solve for x:
$x = 24cos(45)$

Simplify (cos of 45 is also a common ratio):
$x = \frac{24 \sqrt{2} }{2} = 12 \sqrt{2}$

So, now we are ready to solve for the area. We know the base and the height! Let's plug everything in the formula:
$A = \frac{1}{2}(12 \sqrt{2})(12 \sqrt{2}) = \frac{1}{2}(144)(2) = 144$

So, the area of the triangle is 144 ft²

For these types of problems, you need to know all the trigonometric ratios. A good way to memorize it is using a mnemonic device like SohCahToa. The Soh stand for "Sine Opposite Hypotenuse", the Cah stands for "Cosine Adjacent Hypotenuse" and the Toa stands for "Tangent Opposite Adjacent". There are a lot more trigonometric ratios including inverse trigonometric ratios, reciprocal trigonometric ratios, hyperbolic trigonometric ratios (which show up during differential calculus), and the inverse and reciprocal of hyperbolic trigonometric ratios. Hope my answer helps! If anything doesn't make sense, please make sure you tell me!

7 0

3 years ago

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 10. Answer 10x + 5y = –25 5x

adoni [48]

The answer is 20x + 5y = 50
If u move the 20x over u get:
5y=-20x + 50

Solve for y by divided by 5

This gets y=-4x + 10

Now the answer is in slope intercept form: the -4 is the slope and 10 is the y-intercept

4 0

4 years ago

Michael has read 1/2 of a book. Amelia has read 2/3 of the same book. Who has read more of the book?

kramer

Answer:

amelia

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The perimeter is 36. What does x have to be?<br><br>Answer quickly please...<br>

pantera1 [17]