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Anarel [89]
2 years ago
10

The blueprint (a scale drawing used by architects and others) for Zahra’s new office measures `4` cm long and `2` cm wide. The s

cale for the blueprint is `6` cm to `15` ft. What is the length and width of her actual office?
Mathematics
1 answer:
Dimas [21]2 years ago
6 0

Using scale concepts, it is found that the length of her office is of 10 ft, while the width is of 5 ft.

------------------------

  • The scale of 6 cm to 15 ft means that each <u>6 cm in the drawing represent 15 ft in actual dimensions</u>.
  • From this, a rule of three is applied to find the dimensions.

First, we find the actual length:

6 cm - 15 ft

4 cm - x ft

6x = 60

x = \frac{60}{6}

x = 10

The actual length is of 10 ft.

Then, we find the actual width:

6 cm - 15 ft

2 cm - x ft

6x = 30

x = \frac{30}{6}

x = 5

The actual width is of 5 ft.

A similar problem is given at brainly.com/question/24743277

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What is the value of the xX coordinate that is 9 units to the left and 3 units up from (2, –8)?
stiv31 [10]

Answer:

(-6, -5)

Step-by-step explanation:

If you go left 9 times from 2, it goes to -6. Ex: 2, 1, 0, -1, -2, -3, -4, -5, -6. The same goes for 3 units up from -8.

8 0
2 years ago
-3 1/2= 1/2x+1/2x+x A)-1 3/4 B)-5 1/2 C)-1 1/2 10points each
rosijanka [135]

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2  = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

4 0
4 years ago
I need help w number 5 pls !!
OleMash [197]

Answer:

<h2>122.5</h2>

Step-by-step explanation:

the parameter of B figure is

12+9+9+5

35

as we know the scale factor is 7/2

so the parameter of A figure is

35×7/2

122.5

5 0
3 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 256.3 and a standard deviation of
AnnyKZ [126]

Answer:

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) In the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

Step-by-step explanation:

For a Normal distribution N (μ ; σ ) the Empirical rule establishes that the intervals:

( μ  ±  σ  )          contains 68,3 % of all values

( μ  ±  2σ  )        contains 95,4 % of all values

( μ  ±  3σ  )        contains 99,7 % of all values

If   N ( 256,3 ; 66,8 )

σ  =  66,8        ⇒   3*σ  = 3 * 66,8  = 200,4

Then:     256,3 - 200,4  =  55,9

And        256,3 + 200,4 = 456,7

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) 2*σ  = 2 * 66,8  = 133,6

Then  256,3 - 133,6  = 122,7

And    256,3 + 133,6 = 389,90

Then in the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

4 0
3 years ago
Solve the equation 5/6×-4=2
lianna [129]
First, you need to add 4 to both sides so you’re left with 5/6x = 6
then, divide 6 by 5/6 to find x
for me personally, it help to write 6 as 6/1
cross multiply so both fractions have the same denominator
6 divided by 5/6 is 36/5 as a mixed number or 7 1/5
3 0
4 years ago
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