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Anestetic [448]
2 years ago
8

Monganville and Newton are 24 miles apart. On a map the two cities are 3 inches apart. What is the map scale?

Mathematics
1 answer:
Reil [10]2 years ago
5 0

One inch equals 8 miles, or in math terms, this is how we figure It out...

24m = 3in

To find the scale we need to find what one inch equals on the map, dmto do this we divide both sides by 3 in. and get 8 miles in reality equals one map inch.

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Help! I need help with these two questions (10 points each!)
Alex73 [517]

Answer:

see image...

the (x-h) shifts the curve left right (east west)

and the +k at the end shifts it up/down (north/south)

Step-by-step explanation:

8 0
3 years ago
3.
sergey [27]

Answer:

His money earned $36 after 3 months

Step-by-step explanation:

* Lets revise the rules of simple interest

- Simple Interest Equation (Principal + Interest)

 A = P(1 + rt)

- Where:

• A = Total amount (principal + interest)  future amount

• P = Principal Amount

• I = Interest Amount

• r = Rate of Interest per year in decimal; r = R/100

• t = Time Period involved  

* To calculate the interest I use the formula

  I = P × r × t

* Lets solve the problem

- The rate is annual

- The interest calculated after 3 months

∴ I = P × R/100 × t/12

∵ P = $3600.00

∵ R = 4%

∵ t = 3 month

∴ I = 3600.00 × 4/100 × 3/12 = $36

* His money earned $36 after 3 months

5 0
3 years ago
Please help me!!! :(
PSYCHO15rus [73]

Answer:

15.75x^{10}y^{19}

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}

Our 5th term here is: \frac{63x^{10}y^{19}}{4} which is equal to 15.75x^{10}y^{19}

~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

4 0
2 years ago
in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the yea
kompoz [17]

Answer:

2011

Step-by-step explanation:

Here is the formula.

A=P(1+r)^{n}

A = Final Value

P = Starting Value

R = Rate

N = Time in Years

A = 8,000,000,000

P = 5,400,000,000

R = 0.0195

N = Time in Years

Solve for n.

20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.

6 0
2 years ago
Find A and B. Using the image above.
NeX [460]

Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

b × \sqrt{3} = 7 ( divide both sides by \sqrt{3} )

b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

7 0
2 years ago
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