The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².​

Answers

Answer 1

Answer:

768 m²

Step-by-step explanation:

8 x 400 = 3200 cm = 32 m

6 x 400 = 2400 cm = 24m

32 x 24 = 768 m²


Related Questions

out of 75 student 3 were a scent what percentage was present​

Answers

Answer:

To find a percentage, divide the number present by the total number of students, then multiply that number by 100.

Answer:

96% were present.

Step-by-step explanation:

75/100 , 72/? Find percent (?)

(72*100 / )75

96%

The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your answers.

Answers

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

circle the terms in the expression 6 + x + 3x + 5x2​

Answers

Step-by-step explanation:

terms are the elements separated by the plus or minus signs.

Complete the solution of the equation. Find the
value of y when x equals 1.
927y=-12
Enter the correct answer
OOD
DONE
?

Answers

The answer is -3 because 9x1=9 subtract 9 from both sides then divide by seven and you are left with -3

SURFACE AREA PLEASE HELP

Answers

Answer:

486 yd^2

Step-by-step explanation:

Surface area is just finding the area of each face in a figure and adding it all up.

For the surface area of a cube, use this formula:

(a^2) 6

(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.

Use formula with given dimensions:

(9^2) 6 = 486

Surface area is measured in square yards

(yards in this case)

Therefore, the surface area of the cube is 486 yd^2

Hope this helps!

A regular hexagon abcdef is shown. Work out the size of angle x

Please help

Answers

Answer:

30

Step-by-step explanation:

cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.

Angles in a triangle add up to 180

we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30

So X=30

(sorry if the answer is incorrect)

Answer:

30

(6-2)(180)/6

=120

∆FAB=180°

180-120=60

x=60/2

=30

Please help I’ll give branliest

Answers

Answer:

optin d) 8

Step-by-step explanation:

           [tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]

Answer: 8

Explanation:
2x2= 4
4x2= 8
Split up the equation to help:) Since its regular multiplication it doesnt effect the product by doing it in steps

What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42

Answers

Answer:

410

Step-by-step explanation:

Inputs are x's

Substitute the 18 where you see the x

y = 23(18) - 4

y= 414 - 4

y = 410

If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?

Answers

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

2.8-5.3n - 4n + 5 =
plss help again
Thank you!

Answers

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

Answer:

In simplest form: 7.8 - 9.3n

Step-by-step explanation:

Equation: 2.8 - 5.3n - 4n + 5

Combine like terms: 2.8 + 5 = 7.8

-5.3n + -4n = -9.3n

Put it all together: 7.8 - 9.3n

Hope this helps! :)

factorise using suitable identities
x^2 (y+z)^2

Answers

Answer:

Step-by-step explanation:

[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex]                               [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]

[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex]             [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]

                  [tex]=(x-y-z)(x+y+z)[/tex]                  

what is the solution to the equation below?
please help!!​

Answers

Answer:

Have you tried photo math.? It can help you find the answer

Step-by-step explanation:

here is the answer bae. Feel free to ask for more

What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer

Answers

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

help please, 17 points for this question

Answers

Answer:

24 and 15

Step-by-step explanation:

Answer:

it is not 17 points for this question it is 9 points.

B
47°
F
G
A
C
20
J
H Н

Answers

Answer:

umm, sorry! but what are you trying to ask??

What is the surface area of a sphere with a radius of 19 units?

Answers

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.

Answers

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 ∘with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.

Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ladder, hence:

sin(64) = 28 feet/x

x = 28 feet / sin(64)

x = 31.2 feet

Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

Find out more at: https://brainly.com/question/25122825


You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *

Answers

Answer:

the first plan is better

this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher

2. the future value of option 1 is higher than that of option 2

Step-by-step explanation:

The effective annual rate can be used to determine which option is better

the option with the higher effective annual rate is the better option

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.07/12)^12 - 1 = 7.23%

option 2

EAR = e^r - 1

2.7182818^0.0685 - 1 = 7.09%

2nd method of determining the better investment is to determine the future value of each option

Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08

option 2 = 800e^(0.0685 x 6) = 1206.60

option 1 has the higher future value

Answer:6757.62

Step-by-step explanation:

use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.

Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.

Answers

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:


What is the slope of the line shown below?
10 -
(3,9)
(-4,2)
В. -6
ОООО
С. -1
D. 1

Answers

Answer:

D. 1

Step-by-step explanation:

Slope (m) formula:

m = y2 - y1 / x2 - x1

m = 2 - 9 / -4 - 3

m = -7/-7

Negative ÷ Negative = Positive

m = 1

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?

Answers

Answer:

a = 3, b = - 2 , c = 0

Step-by-step explanation:

The equation is

[tex]1 = - 2 x + 3 x^2 + 1 \\\\3 x^2 -2x +0 = 0[/tex]

By comparing with the standard equation

[tex]ax^2 + bx + c = 0[/tex]

So,

a = 3, b = - 2 , c = 0

( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4

Answers

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

Answers

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

The best description of a dilation of a figure is:
A. an enlargement or a reduction of the figure
B. a slide of the figure
C. a turning of the figure about some fixed point
D. a mirror image of the figure

Answers

Answer:

A. an enlargement or a reduction of the figure

Step-by-step explanation:

The answer is choice A.

dilation A. an enlargement or a reduction of the figure

translation B. a slide of the figure

rotation C. a turning of the figure about some fixed point

reflection D. a mirror image of the figure

A mirror image of the figure

Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.​

Answers

Answer:

$80

Step-by-step explanation:

I = Prt

P = 600

r = 5%

t = 2 yrs and 8 mos = 8/3 yrs

I = 600(0.05)(8/3)

I = $80

Answer:

I believe the answer is $80.001.

Step-by-step explanation:

i used a calculator

what is the hcf of 12 45 and 75​

Answers

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

How much shredded newspaper did each person at the table receive?

Answers

Answer:

Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo

The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.

x=−6
x=0
x=1
x=2
x=3
x=6

Answers

Answer:

x = -1, 6

Step-by-step explanation:

Equation of function 1 is,

y₁ = x² - 4x

Equation of function 2 is,

y₂ = x - 6

If y₁ = y₂

x² - 4x = x - 6

x² - 4x - x + 6 = 0

x² - 5x + 6 = 0

x² - 6x + x + 6 = 0

x(x - 6) + 1(x + 6) = 0

(x + 1)( x - 6) = 0

x = -1, 6

Answer:

x = 2 and x = 3

Step-by-step explanation:

y1 = 2^2 - 4(2)

2 x 2 - 8= -4

y2 = 2 - 6 = -4

y1 = 3^2 - 4(3)

9 - 12 = -3

y2 = 3 - 6 = -3


A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000

Answers

Answer:

[tex]w = 13500[/tex] --- real windscreen

[tex]v = 408[/tex] --- scale volume

Step-by-step explanation:

Given

[tex]k = \frac{1}{10}[/tex] --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

[tex]w = \frac{w_{scale}}{k^2}[/tex]

This gives:

[tex]w = \frac{135}{(1/10)^2}[/tex]

[tex]w = \frac{135}{1/100}[/tex]

[tex]w = 13500[/tex]

Next, the volume (v) of the scale mode

We make use of the following computation

[tex]v = v_{real} * k^3[/tex]

So, we have:

[tex]v = 408000 * (1/10)^3[/tex]

[tex]v = 408000 * 1/1000[/tex]

[tex]v = 408[/tex]

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