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3 years ago

Does anyone know the answer to this

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Hello!

We can write this as a proportion below.

$\frac{blueprint}{real} = \frac{0.5}{4} = \frac{18}{x}$

As you can see, 4 is eight times 0.5. Therefore, we can multiply eighteen by eight to get our answer.

18(8)=144

Just to check, we can cross multiply and divide.

72/0.5=144

Therefore, our answer is 144 feet.

I hope this helps!

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5. What is the probability that in a random sample of 500 adult Americans, less than 51% admit to cheating?

stealth61 [152]

The right answer is b

Step-by-step explanation:

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3 years ago

Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago

A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?

GrogVix [38]

Answer:

7 feet

I hoped that helped

6 0

3 years ago

Read 2 more answers

A car is traveling at 60 kilometers per hour how many meters per second is that

kiruha [24]

$60 \times 1000 = 60000 \div 60 \div 60 = 16.66$

4 0

4 years ago

Can someone help me with this?

KATRIN_1 [288]

To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

The slope formula is:

m = (y2 - y1)/(x2 - x1)

We need to select 2 pairs of points from your given table.

Let (x1, y1) = (1, 8)

(x2, y2) = (2, 10)

Plug these values into the formula:

m = (y2 - y1)/(x2 - x1)

m = (10 — 8)/(2 — 1)

m = 2/1 or 2.

Therefore, the slope of the line is 2.

Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.

Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:

y = 2x + 6

Please mark my answers as the Brainilest if you find my explanations helpful :)

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3 years ago