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1 year ago

15

A scale drawing for a backyard is shown below. In the drawing, 3 cm represents 4 m. Assuming the patio is rectangular, find the

area of the real patio. 18 cm 9 cm Patio 3 cm Lawn → 3 cm

1 answer:

bezimeni [28]1 year ago

6 0

Answer:

288m^2

Step-by-step explanation:

ratio is 4000/3, though the thousand does not matter because we can just exchange units

18*4/3=24

24 meters

9*4/3=12

12 meters

24*12=288

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Which value of x would make ?<br><br> 1<br> 6<br> 8<br> 10

Liono4ka [1.6K]

Answer:

$x=8\ in$

Step-by-step explanation:

we know that

If NO is parallel to KJ

then

Triangles LNO and LKJ are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

so

$\frac{LO}{LJ}=\frac{LN}{LK}$

substitute the values

$\frac{x-4}{x-4+x}=\frac{x-3}{x-3+x+2}$

$\frac{x-4}{2x-4}=\frac{x-3}{2x-1}\\ \\(x-4)(2x-1)=(x-3)(2x-4)\\ \\2x^{2}-x-8x+4=2x^{2}-4x-6x+12\\ \\-9x+4=-10x+12\\ \\10x-9x=12-4\\ \\x=8\ in$

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2 years ago

Find a. Round to the nearest tenth:

Ulleksa [173]

Step-by-step explanation:

In the following triangle, a= ? , b= 2cm.

m<B= 105° , m<C = 15° ,m< A =?

Now, we know that sum of the interior angles of the triangle = 180°

m<B+m<C +m< A =180°

105°+15°+m< A=180°

m< A= 180- 120° = 60°

$\frac{ \sin( A) }{a} = \frac{ \sin(B) }{b}$

$\frac{ \sin(60) }{a} = \frac{ \sin(105) }{2}$

$a = \frac{ \sin(60) }{ \sin(105) } \times 2$

$a = 1.79$

$a = 1.8$

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3 years ago

A binomial experiment has 5 trials in which p = 0.7. What is the

Nonamiya [84]

Answer:

Answer

1

InesWalston

Ambitious

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Answer with Step-by-step explanation:

For a given Binomial event with probability of success 'p' the probabolity of 'r' success in 'n' trails is given by

Thus for given 4 trails (n = 4) we have

Part 1)

Probability of 1 success is

Part 2)

Probability of 2 successes

Part 3)

Probability of at least 1 success

Step-by-step explanation:

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3 years ago

Find three consecutive odd integers whose sum is 273.

Lerok [7]

89, 91, 93.

i’m pretty sure^

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2 years ago

Suppose that the function g is defined, for all real numbers, as follows.

svetoff [14.1K]

Answer:

<em>a) g(-2) = 0</em>

<em>b) g(-1) =1</em>

<em>c) g(4) = 2</em>

Step-by-step explanation:

Given data

$g(x) = \frac{-1}{4x+1} if x < -2$

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

$g(x) = 2 if x >2$

<u><em>Step( i )</em></u>:-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

put x = -2

$g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0$

<em>g(-2) = 0</em>

<u><em>Step(ii)</em></u>:-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

Put x = -1

$g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1$

<em>g(-1) =1</em>

<u><em>Step(iii)</em></u>:-

$g(x) = 2 if x >2$

<em>g(4) = 2</em>

<em></em>

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3 years ago