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3 years ago

8

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the

nearest tenth

1 answer:

WITCHER [35]3 years ago

5 0

The door is 0.5 centimeters high

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What are all of the values?

Arada [10]

(i) x = 3

(ii) y = 6

<u>Explanation:</u>

The two polygons are similar.

The congruent angles are:

∠J ≅ ∠G

∠R ≅ ∠M

∠I ≅ ∠A

∠C ≅ ∠T

∠E ≅ ∠H

Proportional sides are:

$\frac{JR}{GM} = \frac{RI}{MA} = \frac{IC}{AT} = \frac{CE}{TH} = \frac{EJ}{HG}$

(i) Value of x = ?

$\frac{JR}{GM} = \frac{RI}{MA}$

Putting the values from the figure

$\frac{6}{12} = \frac{2x + 1}{3x + 5} \\\\6 ( 3x + 5) = 12 ( 2x + 1)\\\\18x + 30 = 24x + 12\\\\30 - 12 = 24x - 18x\\\\18 = 6x\\\\x = 3$

(ii) Value of y = ?

$\frac{JR}{GM} = \frac{IC}{AT}$

On putting the value we get:

$\frac{6}{12} = \frac{x^2-4}{y+4} \\\\6(y+4) = 12(x^2 - 4)\\\\6y + 24 = 12[(3)^2 - 4]\\\\6y + 24 = 12[ 9 - 4]\\\\6y + 24 = 60\\\\6y = 36\\\\y = 6$

4 0

3 years ago

Please help!<br> f(x)=x^2. What is g(x)

lorasvet [3.4K]

Answer:

D

Step-by-step explanation:

The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.

A. g(x) = (4x)^2

4 = (4(1))^2

4 = 16. (not true)

B. g(x) = 1/4 x^2

4 = 1/4 (1)^2

4 = 1/4 (not true)

C. g(x) = 16x^2

4 = 16(1)^2

4 = 16 (not true)

D. g(x) = 4x^2

4 = 4(1)^2

4 = 4. (true --> correct answer)

4 0

2 years ago

Will give brainliest

lisabon 2012 [21]

I believe if I did the expression correctly, the solution is 1

5 0

3 years ago

9. A computer chip manufacturer knows that 72% of the chips produced are defective.

adoni [48]

The probability that exactly 800 chips are acceptable is less than 0.000001

<h3>How to determine the probability?</h3>

The given parameters are:

Sample, n = 3000
Percentage acceptable, p = 72%
Acceptable chips, x = 800

The binomial probability is represented as:

$P(x) = ^nC_x * p^x * (1- p)^{n - x}$

So, we have:

$P(300) = ^{3000}C_{800} * (72\%)^{800} * (1- 72\%)^{3000 - 800}$

The data values are large.

So, we use a statistical calculator to evaluate the expression

Using the calculator, we have:

P(300) < 0.000001

Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001

Read more about probability at:

brainly.com/question/25870256

#SPJ1

5 0

2 years ago

ABC bank requires a 20% down payment on all of its home loans if a house is priced at 185000 what is the amount of the down paym

Alekssandra [29.7K]

It would be 37’000 because 20% of 185000 is 37’000 which you get by 20 x 185000 and dividing the answer to 100.

3 0

3 years ago