the area of a square floor on a scale drawing is 100 square centimeters and the scale of the drawing is cm : 2 ft what is the area of the actual floor what is the ratio of the area in the drawing to the actual area

Answers

Answer 1
Answer: The actual floor is 200 square feet and the ratio is 100 square centimeters: 200 square feet
Answer 2
Answer: the ratio would be 50:1 because you would have to simplify the ratio 100:2

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What is the function g(x) created from f(x) = x2 by moving the graph left 4 units, vertically stretching it by a factor of 5, and shifting the graph down 2 units?

Answers

The solution is, the correct option is  f(x) = 5 (x+4)² -2 .

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

As given by the question.

There are given that the equation of current graph:

f(x) = x^2

Now,

According to the question,

There are also given that graph left 4 units, that means

(x+4)²

Then,

Vertical stretching it by a factor of 5 units

So,

The equation will be: f(x) = 5 (x+4)²

Then,

And, shifting the graph down 2 units

So,

f(x) = 5 (x+4)² -2

Hence, the correct option is  f(x) = 5 (x+4)² -2.

To learn more on function click:

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Answer:

f(x) =5 (x+4)^2 -2

Step-by-step explanation:

A = 5

B = 1

h = 2

k = -2

Use ABhk

Write 7/10 as a sum of fractions two different ways.

Answers

(1)/(10) + (6)/(10) = (7)/(10) \n \n (2)/(10) + (5)/(10) = (7)/(10) \n \n (3)/(10) + (4)/(10) = (7)/(10)


some fun

(7)/(10) = (14)/(20) \n \n (9)/(20) + (5)/(20) (14)/(20) = (7)/(10)

(7)/(10) = (21)/(30) \n \n (8)/(30) + (13)/(30) = (21)/(30) = (7)/(30)

7/10 is equal to 3/10 plus 4/10

And

7/10 is equal to 5/10 plus 2/10,

What is 75/100 simplified

Answers

75/100 simplified is 3/4
because we can divide 75 by 5 witch is 15, and divide 100 by 5 which is 20. you can also divide 15 and 20 by 5, 15 divided by 5 is 3 and 20 divided by 5 is 4. the 3 is the numerator and the 4 is the denominator. 
75/100 divided by 5 equals 15/20 divided by 5 again to equal to 3/4

Explain how you find m∠3 if m∠5 = 130° and m∠4 = 70°. *

Answers

Answer:

The required measure of angle 3 is 60°.

Step-by-step explanation:

 We are given to find the measure of angle 3 from the figure if

m∠5 = 130° and m∠4 = 70°.

Let the measure of angle 3 be x°.

From the figure, we note that

angle 5 is an exterior angle and angles 3 and 4 are two remote interior angles of the triangle.

We know that

the measure of an exterior angle to a triangle is equal to the sum of the measures of two remote interior angles.

So, we get

Thus, the required measure of angle 3 is 60°.

What is the sum of the two vectors (-1,-4) and (3,5)

Answers

The sum of the vectors is (2,1)

How to find the sum of two vectors?

A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.

(-1,-4) + (3,5)

( -1+3 , -4+5 )

( 2,1)

To learn more about the addition of vectors, refer :

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Answer:

Step-by-step explanation:

a(-1, -4)\nb(3, 5)\na + b(2, 1)

Help ASAPSelect the two values of x that are roots of 7x - 15 = -2x.

A. x=-5
B. x=5
C. x= -3/2
D. x=3/2

Answers

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

7 x - 15 = -2 x

Add 2 x to both sides:

7 x + 2 x - 15 = 2 x - 2 x

2 x - 2 x = 0:

7 x + 2 x - 15 = 0

7 x + 2 x = 9 x:

9 x - 15 = 0

Add 15 to both sides:

9 x + (15 - 15) = 15

15 - 15 = 0:

9 x = 15

Divide both sides of 9 x = 15 by 9:

(9 x)/9 = 15/9

9/9 = 1:

x = 15/9

The gcd of 15 and 9 is 3, so 15/9 = (3×5)/(3×3) = 3/3×5/3 = 5/3:

Answer: x = 5/3

7x-15=-2x
+7 +7
-15=5x
-15 divided by 5 gives yu
X=-3