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matrenka [14]
3 years ago
8

On the blueprint of a house, 38 millimeters represents 6 meters. the length of the living room is 57 millimeters on the blueprin

t. what is the actual length of the living room ?
Mathematics
1 answer:
Pie3 years ago
3 0
For this case we can make the following rule of three:
 38 milimeters ---------> 6 meters
 57 milimeters ---------> x
 Clearing x we have:
 x = (57/38) * (6)
 x = 9 meters
 Answer:
 
the current length of the living room is:
 
x = 9 meters
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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

H(x,y) = (8,6)

San Antonio

T(x,y) = (-6,-7)

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)] (1)

S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]

S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)

S(x,y) = (4.5,2.75)

Andra

A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)] (2)

A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]

A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)

A(x,y) =(1, -0.5)

Emily

E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)] (3)

E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]

E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)

E(x,y) = (-2.5, -3.75)

a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, A(x,y) =(1, -0.5).

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

7 0
3 years ago
The formula to convert temperature in Celsius to Fahrenheit is F= 9/5C+32. Solve for C<br> C= ?
icang [17]
F = 9/5C + 32

Subtract 32 to both sides:

F - 32 = 9/5C

Divide 9/5 to both sides or multiply by its reciprocal, 5/9:

5/9(F - 32) = C

Simplify:

C = 5/9F - 160/9
6 0
3 years ago
Give the slope of the graph and the unit rate.
klemol [59]

I need help with MY MATH jejehee

6 0
3 years ago
SAT prep: Prove that 3x – 4 ( 5 – x ) is equivalent to 7x – 20
Alik [6]
3x -4 (5 - x) = 7x -20
3x-20+4x=7x-20
7x-20=7x-20
4 0
3 years ago
A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base
ahrayia [7]

Answer:

\frac{984}{17} or around 57.88

Step-by-step explanation:

We can find the base length by using the formula for the area of a triangle.

A=\frac{bh}{2}

Plug in the values that we know, the area and the height, and solve for b.

493=\frac{17b}{2}

984=17b

b=\frac{984}{17}So the base is [tex]\frac{984}{17} or about 57.88 if you round to the nearest hundredth.

7 0
3 years ago
Read 2 more answers
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