Ask question

Ask question

All categories

3 years ago

12

on the blueprint of a house, 36 millimeters represents 7 meters.the length of the living room is 27 millimeters on the blueprint

what is the actual length of the living room

1 answer:

tino4ka555 [31]3 years ago

7 0

36/7 = 27/x.....36 mm to 7m = 27 mm to x m
cross multiply
(36)(x) = (27)(7)
36x = 189
x = 189/36
x = 5.25 m

You might be interested in

2. Which fraction is in its simplest form?<br> 2/4<br> 2/8<br> 2/6<br> 2/5

wariber [46]

Answer:

2/5

Step-by-step explanation:

2 / 4 could be divided by two in both sides.

2 ÷ 2 = 1

4 ÷ 2 = 2

2/4 = 1/2

Same goes for 2/8 and 2/6

2 ÷ 2 = 1

8 ÷ 2 = 4

2/8 = 1/4

2 ÷ 2 = 1

6 ÷ 2 = 3

2/6 = 1/3

2/5 however, could not be divided by two on both sides because there is 5 and it is not a factor of 2. So it is in its simplest form

7 0

2 years ago

Read 2 more answers

The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

Leya [2.2K]

Answer:

Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)

3 0

2 years ago

Write the equation of the line fully simplified slope-intercept form.

zmey [24]

Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points $(0,-7)$ , $(10,-5)$ .

Let the slope of the line be $m$ .

If a line passes through $(x_{1},y_{1})$ and $(x_{2},y_{2})$ ,then

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, $m=\frac{-7-(-5)}{0-10}=\frac{1}{5}$

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be $b$

From the graph, $b=-7$

The equation of the line with slope $m$ and y-intercept $b$ is $y=mx+b$

So, $y=\frac{1}{5}x-7$

$5y=x-35$

5 0

3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

<u>Question 1:</u> $dm/dt=0.2m$ <u />

<u />

<u>Question 2:</u> $m=Ae^{(0.2t)}$ <u />

<u />

<u>Question 3:</u> $m=10e^{(0.2t)}$ <u />

<u />

<u>Question 4:</u> $m=10g$ <u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

$dm/m=0.2dt$

b)<u> Integrate</u>

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) <u>Antilogarithm</u>

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

<u>Particular solution:</u>

$m=10e^{(0.2t)}$

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

2 years ago

Pls see attached question

zimovet [89]

Answer:

Step-by-step explanation:

put it on a coorinate grid,

circle circumference = 2*pi*r = 100.53

so the arc 19.2/100.53 = about 0.15 times the circumference of the circle

0.15*2pi = angle AOB in radians = 0.97

length DE is like 7.44

angle DOE is approx 0.485 radians beacuse it's half of angle AOB

area of shaded region is 804.2477 probably. I'm not sure about this last one sorry I think my calculator messed up

6 0

2 years ago