461÷301 give the answer

Reduce the Fractions 15/9to its Lowest Terms

KatRina [158]

$\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\$

$\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\$

Decimal Form - 1.6667

6 0

3 years ago

Divide 190 to the ratio 0.2:0.3:0.5

Lostsunrise [7]

0.2 + 0.3 + 0.5 = 1
190 x 0.2/1 = 38
190 x 0.3/1 = 57
190 x 0.5/1 = 95
190
0.2: 0.3: 0.5
38: 57: 95

3 0

3 years ago

A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu

Crazy boy [7]

The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

The height of the tent = 40 ft
length of the rope = x

Get the value of x using the SOH CAH TOA identity

$sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet$

Hence the value of x is 34.64 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 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

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

4 0

1 year ago

What is the y-intercept of y = 5?

Vikentia [17]

Answer:

The answer is .

whenever y equals 5 this usually means that 5 is the answer because on the Y intercept it usually is just five but if you had x equals 7 the x intercept would be 7 .

3 0

3 years ago

461÷301 give the answer​

461÷301 give the answer