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My name is Ann [436]
3 years ago
13

The actual height of the Gateway Arch in St. Louis is 630 feet. A scale model of the arch is 9 inches tall. Which statement(s) a

re true?
A. The scale of the model is 1 in.:70 ft.
B. The scale of the model is 1 in.:90 ft.
C. The scale factor is 1:630.
D. The scale factor is 1:840.
Mathematics
2 answers:
Alisiya [41]3 years ago
7 0
D the scale factor is 1:840 !!
Semmy [17]3 years ago
6 0

Answer:

D. The scale factor is 1:840

Step-by-step explanation:

Make 630 ft into inches, so 7560

Then make it 9/7560, which simplifies to 1/840

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Show work and ill give credit
FromTheMoon [43]

9514 1404 393

Answer:

  5

Step-by-step explanation:

To solve the inequality, we can do the following.

  4.55g + 8.50 ≤ 35 . . . given

  4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides

  g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55

The number of games must be an integer value, so the maximum number of games they can bowl is 5.

5 0
2 years ago
Someone with the right answer help me
andre [41]

Answer:

46 degrees.

Step-by-step explanation:

Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.

5 0
3 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
1 hundredth is how many times greater than 1 thousand?
Paladinen [302]
10 times larger than a thousand. Also one decimal place larger
7 0
3 years ago
The perimeter of a rectangle is 254 cm. Its length is 55 cm. What is the width of the rectangle with a variable?
Elanso [62]

Answer:

Rectangle w=72

Step-by-step explanation:

Rectangle

Solve for 

width

w

=

72

cm

l

Length

cm

P

Perimeter

cm

5 0
3 years ago
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