All categories

3 years ago

In a blueprint for a house, the scale is 1 inch = 5 feet. In the blueprint, one room

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

2in: 5+5=10ft

2.5in: 5+5+2.5=12.5ft

or just simply mutiply by 2

2(5)= 10ft

2.5 inches so 2.5(5)=12.5

The dimensions of the actual room are 10 feet by 12.5 feet

You might be interested in

First step to solve this equation 5k+6=-9

NikAS [45]

Answer:

Subtract 6 from both sides of this equation.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

3 years ago

Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24.

Troyanec [42]

The error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24

<h3>Simplifying linear equations</h3>

Given the following equation as shown below

-3/8(-8-16d)+2d = 24

Step 1 Distribute -3/8 over the expression in parentheses

3 + 6d + 2d = 24

Simply the like terms

3 + 8d = 24

Subtract 3 from both sides of the equation.

8d = 24 - 3

8d = 21

d = 21/8

Hence the error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24

Learn more on linear equation here: brainly.com/question/1884491

#SPJ1

3 0

2 years ago

Determine whether each function is an example of exponential growth or decay. Then, find the y -intercept. y=25/7(7/5) x

Olenka [21]

y = 25x / 5 is each function is an example of exponential growth or decay.

What does exponential growth look like in math?

A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
After all, the number of bacteria grows more quickly the more there are for them to reproduce.

y= 25/7(7/5) x

y = 25/5 x

y = 25x / 5

Learn more about exponential growth

brainly.com/question/11487261

#SPJ4

7 0

2 years ago

Can somebody please help me???? Simplify each expression and evaluate it for x= 3 1/3

kozerog [31]

Answer:

1.= 27

2.=13.3...

Step-by-step explanation:

8 0

4 years ago