An artists creates a scale model of a sculpture with a scale of 2 inches = 5 feet. if the scale moderl of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?

Answer:

15

Step-by-step explanation:

Pretend there is a triangle where the hypotenuse is MO

to find the bottom side, we need to find half of 14 (7) and half of 10 (5)

That tells us that the bottom of the triangle is 12.

To find the next side, you will need to use 14 and subtract 10, leaving us with 4. Half of 10 is 5 so 5+4 is 9, so the side facing up is 9.

Now using Pythagorus, the root of 12^2 and 9^2 is 15

Final answer, the distance from O to M is 15

The distance OM is 15 and this can be determined by using the Pythagorean theorem and the given data.

Given :

The following steps can be used in order to determine the distance OM:

Step 1 - Let the OEM be the triangle where the angle OEM is 90 degrees.

Step 2 - The distance OE is given by:

[tex]\rm OE = \dfrac{10}{2}+\dfrac{14}{2} = 12[/tex]

Step 3 - Now, the distance ME is given by:

[tex]\rm ME = 14-10+\dfrac{10}{2} = 5 + 4 = 9[/tex]

Step 4 - Apply Pythagorean theorem on triangle OEM in order to determine the distance OM.

[tex]\rm OM^2 = 12^2+9^2[/tex]

OM = 15

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Answer:

i am not sure if this is what u need but i hope it is.

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.

Answer: y=–2x–5

Step-by-step explanation:

The equation of a straight line:

y=mx+c

m must be the same for the two lines to be parallel.

y=mx+c

y=–2x+8 → m=–2

For a new equation:

x=–1, y=–3, m=–2, c=?

y=mx+c → –3=–2×(–1)+c

–3=2+c

c=–5

So:

y=–2x–5

Answer:

-2

Step-by-step explanation:

Rise/run

Answer:

there the same

Step-by-step explanation:

Answer:

[tex]t < - 2 \\ t = - 3[/tex]

Step-by-step explanation:

[tex]4t - 42 - 18t > - 14[/tex]

[tex]4t - 18t > - 14 + 42[/tex]

[tex] - 14t > 28[/tex]

[tex] \frac{ - 14t}{ - 14} < \frac{28}{ - 14} [/tex]

[tex]t < - 2[/tex]

[tex]if \: \: \: \: \: t = - 3[/tex]

[tex]4t - 42 - 18t { > }^{?} - 14[/tex]

[tex]4 \times - 3 - 42 - 18 \times - 3 { > }^{?} - 14[/tex]

[tex] - 12.6 > - 14[/tex]

Answer:

x = 35

Step-by-step explanation:

angles in a triangle add up to 180.

x + 11 + 3x + 1 + x - 7 = 180

combine like terms

5x + 5 = 180

subtract 5 from both sides of the equation

5x + 5 - 5 = 180 - 5

5x = 180 - 5

5x = 175

divide both sides of the equation by 5

5x/5 = 175/5

x = 175/5

x = 35

Answer:

This function returns a zero value when x is equal to negative one or negative two.

Step-by-step explanation:

We can solve this by factoring the function:

f(x) = x² + 3x + 2

= x(x + 1) + 2(x + 1)

= (x + 1)(x + 2)

So function equals zero when x = -1 or -2

Answer: t=0.7+1.5

Step-by-step explanation:

The equation that represents the distance from A = (a, b) and B = (c, d) is

√(c - a)² + (d - b)² = 1.5

The distance between two points of a line is given as:

Distance = √(c - a)² + (d - b)²

We have,

Let points A and B have the coordinates.

A = (a, b)

B = (c, d)

Now,

Distance = √(c - a)² + (d - b)²

√(c - a)² + (d - b)² = 1.5

Thus,

The equation is

√(c - a)² + (d - b)² = 1.5

Learn more about the distance of a line here:

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Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

-0.1, -2/12, 1/9 (smallest to largest)

Answer:

A

Step-by-step explanation:

When two lines cross, the angles opposite of each other are always equal.

Example:

You can even check this by adding all of the angles together to equal 360.

Answer:

A) y = x - 3/4

Step-by-step explanation:

The equation of the line with slope m and intercept b is

y = mx + b

Here were have slope = m = 1.

y-intercept = b = -3/4

Equation:

y = mx + b

y = 1x + (-3/4)

y = x - 3/4

Answer: A) y = x - 3/4

Answer:

1

Step-by-step explanation:

Using the general exponent rule, that

[tex]a^{0}[/tex] = 1, so

[tex]7^{0}[/tex] = 1

Answer:

I believe its AAS

Step-by-step explanation:

Answer:

it basically means that the order in how you multiply doesnt matter. so wether u type 5 x 4 or 4 x 5 in ur calculator, you'll get the same answer either way. this works for when you want to multiply and divide, but not when you wanna subtract or divide.

Step-by-step explanation:

its basically a property that says that if you wanna swap the numbers/variables that are on one side of this specific type of equation (multiplication and addition), you can!

Answer:

yooo

Step-by-step explanation:

the communitive property  is when you have the same number or same equation but just reverse it. For example, (5x+67) with the communitive property could be (67+5x). Its just the equation you are given but reversed and since they are the same numbers, you will get the same answer either way you do the problem, hope this helps you lol.

Answer:

$35

Step-by-step explanation: 200-165

Answer:

c

Step-by-step explanation:

I don't feel like typing (Its D) So Read This Below

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Answer:

It would be -4 for "x" and -6 for "y"

Step-by-step explanation:

x+z=-4+-6=-10

x-y=-4--6=2

Answer: y =-19

Step-by-step explanation:

Answer:

450,900

Step-by-step explanation:

ok

Answer:

36 in because the radius×2=diameter

Step-by-step explanation:

Answer:$60

Step-by-step explanation: