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3 years ago

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Mathematics

1 answer:

SVEN [57.7K]3 years ago

8 0

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

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Which equation represents the graph of y= cosx reflected across the x-axis then shifted vertically down by 2 units?

Phoenix [80]

Answer:

y = -cos(x) -2

Step-by-step explanation:

Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.

reflected: y = -cos(x)

then shifted: y = -cos(x) -2

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3 years ago

What is the equation of the line through the points (4,6), (8,12), and (10,15)?

Delvig [45]

y = 3/2x is the answer for this problem.

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3 years ago

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is

Gnesinka [82]

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A= 1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

6 0

3 years ago

HELPPPPPO

Rina8888 [55]

Answer:

150

Step-by-step explanation:

'x' = number of students out of 500 who selected math

18/60 = x/500

cross-multiply:

60x = 9000

x = 150

6 0

3 years ago

In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased

UkoKoshka [18]

The average speed would be 600 km/hr.

Step-by-step explanation:

Let the original speed be 'x'

Let the decreased speed be 'x-200'

Distance = 600 km

Time increased by 30 minutes

According to question, it becomes,

$\dfrac{600}{x-200}-\dfrac{600}{x}=\dfrac{30}{60}\\\\\dfrac{x-(x-200)}{x^2-200x}=\dfrac{1}{2\times 600}\\\\\dfrac{200}{x^2-200x}=\dfrac{1}{1200}\\\\240000=x^2-200x\\\\x^2-200x-240000=0\\\\x=600,-400$

So, The average speed would be 600 km/hr.

5 0

3 years ago