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3 years ago

6

A blueprint for a house has a scale of 1:10. A wall in the blueprint is 8 in. What is the length of the actual wall?

1 answer:

SashulF [63]3 years ago

8 0

You can remove your cofusion regarding wall in the blue print whether to be cosidered in inch or ft , be sure, it has to be in inches to be considered , with the scale of 1: 10 and specific mention of length of the wall 8 in , we have to cosider length of wall : 8 inch x 10 inch / 1 scale = 80 inches ( and not 80 ft ) , and in terms of ft it would be = 80 inches / 12 inches per ft = 6.6666 ft

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Hope someone can help me with this

RoseWind [281]

(192/16)*4.55*1.43 = 39039/500 =78.078

7 0

4 years ago

A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of th

Sergio039 [100]

Answer:

80cm^2

Step-by-step explanation:

20*5=100

10*2=20

100-20=80

8 0

3 years ago

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

3 years ago

Prove the following identity true. Show work.

yulyashka [42]

Answer:

The Pythagorean identity states that

$\sin^2 t + \cos^2 t = 1$

Using that we can rewrite the left denominator as:

$1 - \sin^2 t$

Which can be factored as

$(1 - \sin t)(1+ \sin t)$

The numerator we can expand as:

$(1 - \sin t)(1 - \sin t)$

On the right hand side, let's multply numerator and denominator with (1 - sin t):

The total formula then becomes:

$\dfrac{(1-\sin t)(1-\sin t)}{(1 - \sin t)(1 + \sin t)} = \dfrac{(1-\sin t)(1 - \sin t)}{(1+\sin t)(1 - \sin t)}$

There you go... left and right are equal.

3 0

3 years ago

Read 2 more answers

Find the next two terms in this<br> sequence.<br> 1, -3, 9, -27, 81, [?],

fiasKO [112]

-243

Step-by-step explanation:

số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.

vd: 1. -3 = -3 ; -3 .-3= 9 ;..... 81 . -3= -243

7 0

2 years ago

Read 2 more answers