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3 years ago

Translate the sentence and solve: "4 is 2 less than double a number".

Mathematics

1 answer:

Elanso [62]3 years ago

4 0

Answer: x = 3

Step-by-step explanation:

you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.

3 x 2 = 6

and 2 less than 6 is 4 so theres your answer :)

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Can u guys PLEASE answer this question ASAP. THIS IS EXTREMELY URGENT

skelet666 [1.2K]

Answer:

14.55 hope this help

Step-by-step explanation:

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

10 months ago

A rectangle has two different side lengths: One is (4p-5) inches. The other is (3p+2) inches. Find the perimeter of the rectangl

Anika [276]

The perimeter of rectangle is 14p-6.

Step-by-step explanation:

Given,

One side of rectangle = 4p-5 inches

Length of other side = 3p+2 inches

Perimeter of rectangle = 2( Length of one side + Length of other side)

$Perimeter = 2(4p-5+3p+2)\\Perimeter = 2(7p-3)\\Perimeter = 14p-6$

The perimeter of rectangle is 14p-6.

Keywords: rectangle, perimeter

Learn more about rectangle at:

#LearnwithBrainly

7 0

2 years ago

A tanker of capacity 200 litres has 12.05 litres of oil. how much more oil can be poured into the tanker ?

Scilla [17]

Answer:

187.95 liters.

Step-by-step explanation:

the entire capacity of the tank is 200 liter, you subtract how much oil is in there already, you will have the remaining Of the capacity that can be added.

200 - 12.05 = 187.95

3 0

3 years ago

0.6 is 10 times as much as

ANEK [815]

0.6 is 10 times as much as 0.06.

All you need to do to find the answer is to divide 0.6 by 10:

0.6 / 10 = 0,06

I hope it will help you :)

5 0

3 years ago