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3 years ago

A bakery uses 3/4 cups of oats to make a 2 4/7 pounds of oatmeal cookies.how many cups of oats are required per pound of cookies

1 answer:

3 0

We can use ratios to find the answer to this.
Set up the ratio.
3/4 / 18/7 = x / 1

Multiply both sides by 1
3/4 / 18/7 = x

Inverse 18/7 to 7/18 so we can multiply.
3/4 * 7/18 = x
Multiply.
21/72 = x
Simplify7/24 = x
Therefore, 7/24 cups of oats is used per pound.

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,

Sladkaya [172]

Answer:

Step-by-step explanation:

I dont quite understand the problem but this is one way to solve it using completing the square:-

2x^2 + 8x - 12 = 0

2(x^2 + 4x) - 12 = 0

2((x + 2)^2 - 4) = 12

2(x + 2)^2 - 8 + 8 = 12 + 8

2(x + 2)^2 = 20

6 0

3 years ago

Jerome ran 3.2 miles. How many feet did Jerome run?

Tema [17]

16,896 feet is the distance

7 0

3 years ago

Read 2 more answers

Help ;-;

Georgia [21]

Answer: 15 and one-half

Step-by-step explanation:

14/2 + 3(4) - (6.5 - 3)

Use PEMDAS

14/2 + 3(4) - 3.5

Use PEMDAS

7 + 12 - 3.5

Use PEMDAS

15.5

4 0

3 years ago

Read 2 more answers

Given that a = 10cm and b = 27cm work out theta rounded to one decimal place?

klemol [59]

Answer:

28.8

Step-by-step explanation:

A squared plus b squared equals c squared.

3 0

3 years ago