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3 years ago

10

15+6X = Y(32+ 12x)-|

1 answer:

hammer [34]3 years ago

6 0

i hope it helps please mark me as brainliest please

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How do you solve this question

Wewaii [24]

<h2>Solution:.</h2>

Let the ceilings be <em>a</em><em> </em><em>&</em><em> </em><em>b</em>

and the distance from one corner of the ceiling to the opposite be <em>c</em>

<em>then </em><em>using</em><em> </em><em>Pythagoras</em><em> theorem</em>

$c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20$

hence ,c .°. the distance from one corner of the ceiling to the opposite is<em> </em><em>2</em><em>0</em>

3 0

2 years ago

PLEASE HELP ASAP.

alexandr1967 [171]

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$

3 0

3 years ago

A rectangular prism is shown below. What is the surface area, in square centimeters?

Orlov [11]

Answer:

174 square centimetres

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is

SA = 2LW + 2LH + 2HW

Therefore surface area will be

= 2(11*5) + 2(11*2) +2(2*5)

= 2 * 55 + 2 * 22 + 2 * 10

= (110 + 44 + 20) square cm

Which gives you 174 square centimetres.

3 0

3 years ago

Solve for d: d + 9 = 15 show work please

oksian1 [2.3K]

Answer:

6

Step-by-step explanation:

First, subtract 9 on both sides:

d+9-9=15-9

d=6

Hope this helped!

5 0

3 years ago

Read 2 more answers

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

2 years ago