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3 years ago

Can some one please help me.

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

X = 29 and y = 101.

To find this, you need to set up an equation.

6x - 95 = 79. Once you solve this, x would equal 29.

Since 6x - 95 and y are on a straight line, they would have to equal 180. So you make another equation except you plug in 29 for x this time.

6(29) - 95 + y = 180. Once you solve this, y would equal 101.

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The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

$Hypotenuse^2=Base^2+Perpendicular^2$

$(40)^2=(8)^2+(h)^2$

$1600=64+h^2$

$1600-64=h^2$

$1536=h^2$

Taking square root on both sides.

$\pm \sqrt{1536}=h$

$\pm 39.1918358=h$

Height cannot be negative. Round to the nearest foot.

$h\approx 39$

Therefore, the height of the ladder on the wall is 39 foot.

5 0

3 years ago

Can anyone share the process please?

gtnhenbr [62]

Answer:

3x³ + x² + x + 1

= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6

= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6

= (x - 1)(3x² + 4x + 5) + 6

but 3x³ + x² + x + 1 = (x - 1).Q(x) + R

=> Q(x) = 3x² + 4x + 5

R = 6

4 0

3 years ago

Movie tickets and film streaming services are substitutes. If the price of film streaming increases, what happens in the market

tatuchka [14]

Answer:

D. The demand curve shifts to the right.

Step-by-step explanation:

Movie tickets and film streaming services are substitutes, so an increase in the price of film streaming will cause an increase in the demand for movie tickets. Thus, at any given price, the demand curve of movie tickets shifts to the right, for example from demand A to demand B or demand C. as in the attached figure.