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2 years ago

An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall on the x-axis?

Mathematics

2 answers:

agasfer [191]2 years ago

8 0

5, because it needs to equal a multiple of 360

Grace [21]2 years ago

8 0

Answer with explanation:

Standard Position of the Angle =(468 n)°

We have to find that value of, n for which terminal side will fall on X axis, that is the angle should be multiple of 180°.

You must be thinking why not multiple of ,360°, because factors of 360 are , 90,180,and 360, in which , multiple of 90 falls on x and y axis ,and multiple of 180 ,falls on X axis only.So, instead of taking factors of 90 or 360, you should take multiple of 180° for which terminal side fall on the x-axis.

The Unit Digit of , (468 n)°,should be equal to 0, as it is divisible by number 180°.

For, n=5,

→468° × 5=2340°

So, 2340° , is divisible by 180°.

For, n=5, the terminal side ,the angle having Measure (468 n)°,will fall on the X axis.

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Quadratic equation that contain the three ordered pairs (1,6), (3,26), (-2,21)

rosijanka [135]

Y= 3x^2-2x+5

6= 3(1)^2-2(1)+5
6= 3-2+5

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2 years ago

The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?

mario62 [17]

The dimensions are 40 inches by 55 inches.

Explanation:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)÷(4 3/4)=190÷(4 3/4)
y=190÷(4 3/4).

Convert the mixed number to an improper fraction:
y=190÷(19/4).

To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.

8 0

2 years ago

Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po

Hitman42 [59]

Answer:

$14\ pounds$

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is $10^3$ times the weight of a cat. Based on this we can write the following equation:

$e=10^3c$

If the weight in pounds of the elephant is:

$e=14,000$

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

$14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14$

3 0

2 years ago

If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.

nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here, triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒ m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° > ( m∠ L+ m∠ N ) > 0 ( Since, a - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0

2 years ago

Read 2 more answers

Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was

SSSSS [86.1K]

<h2>Answer:</h2>

First of all let's write the slope-intercept form of the equation of a line, which is:

$y=mx+b \\ \\ Where: \\ \\ m: \ slope \\ \\ b: \ y-intercept$

So we just need to find $m \ and \ b$ to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

$m=-12$

Negative slope because Amir is descending. So:

$y=-12x+b$

To find $b$ , we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point $(30,0)$ . Therefore, substituting this point into our equation:

$y=-12x+b \\ \\ 0=-12(30)+b \\ \\ 0=-360+b \\ \\ \therefore b=360$

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

$\boxed{y=-12x+360}$

Whose graph is shown bellow.

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2 years ago

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