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2 years ago

What is the length of MN ?

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer:

C. 4

Step-by-step explanation:

Using the Law of Sines,

sinA / a = sinB / b

Here,

A = 63°
a = x + 8
B = 63°
b = 3x

Solving :

sin63°/x + 8 = sin63°/3x
x + 8 = 3x
2x = 8
x = 4

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Brenda has $30. She gets $5 every time she takes out the trash. Which inequality can be used to find x, the number of times Bren

kobusy [5.1K]

Brenda has to take out the trash more than 4 times to have more than $50.

Step-by-step explanation:

Given,

Amount Brenda already have = $30

Amount she gets each time for throwing trash = $5

Amount she wants to have = More than $50

Let,

x be the number of times she throws trash.

Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have

$5*x+30>50\\5x>50-30\\5x>20$

Dividing both sides by 5

$\frac{5x}{5}>\frac{20}{5}\\x>4$

Brenda has to take out the trash more than 4 times to have more than $50.

Keywords: variable, inequality

Learn more about variables at:

#LearnwithBrainly

4 0

3 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

3 years ago

Divide Rs 8100 for three persons in the proportion of 2:3:4

Andru [333]

Step-by-step explanation:

Money = Rs 1800

Ratio = 2:3:4

1st Person = 2x

2nd Person = 3x

3rd Person = 4x

X = ?

2x + 3x + 4x = 1800

9x = 1800

X = 200

1st Person = 2x = 2×200 = Rs 400

2nd Person = 3x = 3×200 = Rs 600

3rd Person = 4x = 4×200 = Rs 800

7 0

2 years ago

Thanks for the help

Brrunno [24]

The answer is B.

In the question it says "the intercept of 6" which means the equation has to have +6 in the answer, and there is only one answer choice containing that.

4 0

3 years ago

T he equation for a parabola with directrix y = –p and focus (0, p) is:

zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

3 0

3 years ago