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3 years ago

PLease what is the answer!

Mathematics

2 answers:

lesantik [10]3 years ago

8 0

Answer:

Step-by-step explanation:

(80+96+81+89+64)÷5 = 84

Used the formula to get the average of a number. Hope this helps

Stella [2.4K]3 years ago

3 0

The minimum grade to get is 74.

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Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between t

mamaluj [8]

Answer:

$\angle 1 + \angle 2 = 180^o$

Step-by-step explanation:

Given

$\angle 1$ and $\angle 2$

Required

The relationship between them $\angle 1$ and $\angle 2$

From the question, we understand that $\angle 1$ and $\angle 2$ are supplementary

Supplementary angles add up to 180.

So, the relationship between $\angle 1$ and $\angle 2$ is:

$\angle 1 + \angle 2 = 180^o$

7 0

3 years ago

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

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

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1 year ago

The quotient of a number and -4 is -9

natima [27]

Answer:36

Step-by-step explanation:36÷ -4 = -9

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3 years ago

The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at

ArbitrLikvidat [17]

12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls

4 0

4 years ago

a school baseball team raised $810 for new uniforms. each player on the team sold one book of tickets. There were 10 tickets in

artcher [175]

the answer is 27 because all you have to do is divide 810 by 30 which equals 10 times three dollars at the equals 30 soda by 830 and 30 parts and equals 27 soap and try to answer or problem only calculator at home on your phone to add on your tablet on your computer and a half thank you

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3 years ago

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