1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katyanochek1 [597]
3 years ago
7

A blueprint shows that a house’s length is 100cm and the width is 80cm. If the actual house length is 40 meters, what is the act

ual width?
Mathematics
2 answers:
Phantasy [73]3 years ago
8 0

<u>Answer:</u>

Actual width of house = 32 meters

<u>Step-by-step explanation:</u>

We are given that blueprint shows that a house’s length is 100cm and the width is 80 cm.

We will use the ratio method to find the actual width of the house if the actual length is 40 meters.

\frac { 1 0 0 c m } { 1 c m } = \frac { 4 0 m } { x }

x = \frac { 4 0 } { 1 0 0 }

x = 0 . 4

So actual width of the house = 80 \times 0.4 = 32 meters

lianna [129]3 years ago
3 0

Answer:

32 meters

Step-by-step explanation:

<u>The question is on scale</u>

Length of house on paper=100cm

Length of house actual=40m

<u>finding the scale used;</u>

make both lengths with similar units;

100cm rep 40m

100cm = 40×100 cm

100cm=4000cm

<em>1:40⇒1cm rep 40 cm</em>

<u>Finding actual measurement of the width</u>

1cm rep 40cm

80cm rep ?

cross multiply; (80×40)÷1= 3200cm

actual width=3200/100= 32 meters

You might be interested in
-2√8-√2-2√8 can u help me solve this
Charra [1.4K]
See picture for answer.

4 0
3 years ago
Nine times the sum of a number and 4 is 2
Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

7 0
3 years ago
A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t seconds is given by s(t) = 2t^3 +
IRISSAK [1]
The ball's velocity will be represented by the derivative of its distance function:

s'(t)=6t^2+6t

Now find the times t for which this is equal to 30, i.e. solve

6t^2+6t=30\implies t^2+t-5=0

This has two solutions, t=-\dfrac{1\pm\sqrt{21}}2, but only one is positive and falls in the interval [0,3]. So the velocity reaches 30 cm/s when t=-\dfrac{1-\sqrt{21}}2\approx1.79.
3 0
3 years ago
EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
Write a polynomial that represents the shaded area of the figure below
IRISSAK [1]
I hope this helps you

8 0
3 years ago
Other questions:
  • Which reason explains the congruency of these two triangles?
    13·1 answer
  • Parallelogram ABCD ​ is a rectangle.
    13·2 answers
  • One more than 8 times a number is the same as 12 times the number
    5·1 answer
  • Halley drank 2 1/3 glasses of milk on monday. tyrone drank 1 1/3 times as much milk as halley. how many glasses of milk did tyro
    10·1 answer
  • Find the solution of "X" Please: 3(−3−3x)+4=−5
    12·2 answers
  • The next step in the solution for which equation could use the distributive property?
    9·1 answer
  • What is 3/4 plus 4/5?
    7·1 answer
  • A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
    13·1 answer
  • Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4
    11·1 answer
  • A triangle has a base length of 4ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!