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pashok25 [27]
3 years ago
7

Two triangular roofs are similar. the ratio of the corresponding sides of these roofs is 2:3. if the altitude of the smaller roo

f is 4.5 feet, find the corresponding altitude of the larger roof. round to the nearest hundredth.
Mathematics
1 answer:
disa [49]3 years ago
8 0
The answer is:  "6.75 ft."  .
______________________________________________
Explanation:
_____________________________________________
 2 / 3 = (4.5) / x ;  Solve for "x" ;

     2x = (3)(4.5) ;

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_________________________________________________
    2x / 2 = [3*(4.5)] / 2 ; 

    to get:  x  = (13.5)/2 = 6.75 ft.  This is already rounded to the
                                                       nearest hundredth.
__________________________________________________
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3 = q/11 i need it real quick
makkiz [27]

Answer:

q=33

Step-by-step explanation:

So we have:

3=\frac{q}{11}

Multiply both sides by 11:

11(3)=(11)\frac{q}{11}

The right side cancels:

11(3)=q

Multiply the left:

33=q

Thus, the value of q is 33.

7 0
3 years ago
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Create a memory device to help you remember the quadratic formula. The device could be a song, drawing, rhyme, mnemonic device,
Lostsunrise [7]

Answer:

q-u-a-d-r-a-t-i-c  f-o-r-m-u-l-a

Step-by-step explanation:

6 0
4 years ago
Determine the point estimate of the population proportion and the margin of error for the following confidence interval.Lower bo
Kamila [148]

Answer: The point estimate of the population proportion is . 485.​

The margin of error is 0.273.​

Step-by-step explanation:

Confidence interval for population proportion(p):

sample proportion ± Margin of error

Given:  Lower bound of confidence interval  = 0.212

Upper bound = 0.758

⇒sample proportion - Margin of error=0.212  (i)

sample proportion + Margin of error= 0.758  (ii)

Adding (i) and (ii) , we get

2(sample proportion) =0.970

⇒ sample proportion = 0.970÷2= 0.485

Since sample proportion is the point estimate of the population proportion.

So, the point estimate of the population proportion=  0.485

Now put sample proportion =0.485 in (ii), we get

0.485+ Margin of error= 0.758

⇒  Margin of error= 0.758 - 0.485 =0.273

i.e. The margin of error is 0.273.​

5 0
3 years ago
X + 2 = 5x solve for x.
ivanzaharov [21]

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

Subtract 2 from both sides of the equation

x + 2 - 2 = 5x -2

Simplify

x = 5x -2

Subtract 5x from both sides of the equation

x = 5x -2

x - 5x = 5x - 2 - 5x

Solution

x = 1/2

Hope this helps!! :))

https://brainly.com/

8 0
3 years ago
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A planr leaves and flies due north at 280 miles per hour. AT the same time another plane takes off from the same airport and fli
kompoz [17]

Answer:

Distance between the two planes after 1 hour = 410 miles

Step-by-step explanation:

Given - A plane leaves and flies due north at 280 miles per hour. At

            the same time another plane takes off from the same airport

            and flies due east at a speed of 300 miles per hour.

To find - What is the distance between the two planes after 1 hour ?

Proof -

Given that , Plane 1 flies due north at a speed of 280 miles per hour.

So,

Total distance traveled in 1 hour = 280 miles

Also,

Plane 2 flies due east at a speed of 300 miles per hour.

So,

Total distance traveled in 1 hour = 300 miles.

The diagram is as follows :

Now,

We have to find the distance after 1 hour i.e. AC

In Triangle ABC ,

By using Pythagoras theorem, we get

AC² = BC² + AB²

⇒AC² = (300)² + (280)²

⇒AC² = 90,000 + 78,400

⇒AC² = 168,400

⇒AC = √168,400

⇒AC = 410.366 ≈ 410

∴ we get

Distance between the two planes after 1 hour = 410 miles

7 0
3 years ago
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