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____ [38]
3 years ago
8

Your doctor told you to eat 25 grams of fiber each day. You had 4 grams of fiber for breakfast. What percent of the 25 grams of

fiber have you eaten so far?
Mathematics
2 answers:
AlekseyPX3 years ago
6 0
To answer the question, divide the fiber intake during breakfast by the total fiber intake prescribed by the doctor and multiply with 100%. With the given above, 

                                              (4 / 25) x 100% = 16%

Thus the fiber intake during breakfast constitutes 16% of the total fiber intake. 
Olin [163]3 years ago
6 0

Answer:

The answer is 16%.

Step-by-step explanation:

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let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

\sin (\theta)=\frac{3}{5}

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

x^2+3^2=5^2

Solving for x, we have

\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

\tan (y)=\frac{12}{5}

Describes the following triangle

Using the Pythagorean Theorem again, we have

5^2+12^2=h^2

Solving for h, we have

\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}

To calculate the sine and cosine of the sum

\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}

We can use the following identities

\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}

Using those identities in our problem, we're going to have

\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}

4 0
1 year ago
a number when on the to the nearest 10 is equal to 50 the same number one on the to the nearest hundred is 100​
Alexxandr [17]

Answer:

50 - 54

Step-by-step explanation:

6 0
3 years ago
The bottom shape is a square prism with base edges of 3 cm and a height of 10 cm. What is the volume of the composite figure if
7nadin3 [17]
Answer: 96 cm^3

To answer this, start by finding the volume of the square prism. The formula is L x W x H, therefore the volume is 3 x 3 x 10 = 90.

Then, find the volume of the pyramid on the top. Use the same formula but divide it by 3 because it is a pyramid. 3 x 3 x 2 / 3 = 6

Add 90 and 6 to get 96.
6 0
3 years ago
HELP PLEASE DUE IN 3 MINUTES
Anarel [89]

Answer:

101

Step-by-step explanation:

If you add up all of the answers, it equals 101 due to the fact of just adding all of the x's together in a row.

6 0
2 years ago
What is the solution to the inequality? −4x−8>−20
iogann1982 [59]

Answer:

see work attached and shown

5 0
3 years ago
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