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natulia [17]
4 years ago
8

A model of a skyscraper is 1.6 in long, 2.8 in wide, and 11.2 in high. The scale factor is 8 in : 250 ft. What are the actual di

mensions of the skyscraper? (Explain if possible)
Mathematics
1 answer:
____ [38]4 years ago
3 0
<span>At 8in to 250 feet the skyscraper converts to the following. 1.6 in/8 in x 250ft = 50 ft long 2.8in/8in x 250ft = 87.5 ft wide 11.2in/8in x 250ft = 350 ft high You get this because every 8 in is 250 feet so you need to calculate the ratio of scale to that 8in per 250 feet.</span>
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When factored completely, what are the factors of 4x^2-16 ?
Semmy [17]
Use:a^2-b^2=(a-b)(a+b)\\\\4x^2-16=4(x^2-4)=4(x^2-2^2)=\boxed{4(x-2)(x+2)}
8 0
3 years ago
Read 2 more answers
Y=3x^2+30x+81<br> What is the vertex of this
ahrayia [7]
(-5,6) is the vertex.

I did this by using the vertex x coordinate Formula which is -b/2a

So in this case a=3 b=30 c=81

So if put the number in it would be
-30/2(3) = -30/6 = -5
Now that we know the x coordinate of the vertex which is -5. You plug the x of -5 into the quadratic equation to get the y.

3(-5)^2 + 30(-5) + 81=y

Simplify it

75-150+81= Y

Combine the light terms

6=y

So the coordinate points are (-5,6)



8 0
3 years ago
9. A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis
Natasha_Volkova [10]

Answer:

A 18miles

Step-by-step explanation:

x is the number of miles

The fee then is

1.5x + 3 = 30

1.5x = 27

Divide by 1.5

x is equal to 18miles

8 0
3 years ago
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Find the second, fifth, and ninth terms of the sequence.<br> an = -7 + (n - 1) 4
castortr0y [4]

Answer:

- 3, 9, 25

Step-by-step explanation:

To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is

a_{2} = - 7 + (2 - 1)4  = - 7 + (1 × 4) = - 7 + 4 = - 3

a_{5} = - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9

a_{9} = - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25

5 0
4 years ago
A. 11 cm^3<br> B. 14 cm^3<br> C. 15 cm^3<br> D. 25 cm^3
IgorLugansk [536]
Lets get started :)

We need to find the radius of the larger cylinder

V = \pir²h
960 = \pir²(16)
\frac{960}{16} = \pi r^2
60 = \pi r^2
\frac{60}{ \pi } = r^2
r = \sqrt{ \frac{60}{ \pi } }
r ≈ 4.27 cm

The ratio of the bigger cylinder to smaller is:
16 : 4

Therefore, the big cylinder is 4 times bigger than the small cylinder

\frac{4.37}{4} = r
r = 1.09 cm (radius of small cyclinder)

V (small cylinder) = \pi(1.09)²(4)
                             = 15 cm³

Your answer will be C. 15 cm³

3 0
3 years ago
Read 2 more answers
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