Find the distance between (2,4) and (12, 9) on a coordinate plane. round to the nearest tenth if necessary. *

1 answer:

4 0

Use pythagoras

d = √(Δx² + Δy²)
d = √(12-2)² + (9-4)²
d = √(10² + 5²)
d = √(100 + 25)
d = √125
d = 5√5
d = 5 × 2.236
d = 11.18

The nearest tenth is 11.2, so the distance is near to 11.2

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Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 *

dexar [7]

Answer:

9 * 10^4 is 300 times larger than 3 * 10^2

Step-by-step explanation:

Here, we want to compare the two figures and give the verdict on how big they are

as we can see, by squaring the second figure, we get the first

Mathematically, what we are saying is that;

(9 * 10^4) = (3 * 10^2)^2

basically, the difference between the two is to the tune of (3 * 10^2)

Hence we can conclude that the first number is 300 times bigger than the second number

7 0

2 years ago

Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a

Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

Explanation

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax $=(200000*0.30)dollar=60000$ dollar.

Remaining amount = $ 200000 - $ 60000 = $ 140000

Suppose, she invested $x$ dollar at 1.5% rate.

That means, she invested $(140000-x)$ dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

$0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000$

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000

5 0

3 years ago

Represent the set of numbers as decimals on the number line {5 3/10, 5 1/10, 5 and if you answer more than needed thank you

Alina [70]

Answer:

(0.53 > 0.51) both less than 1 while 5 is greater than both

Step-by-step explanation:

$\frac{53}{10} = .53, \frac{51}{10} = .51.$ and 5

the number line has two sides, with the left side for negative numbers while the right side is for positive numbers.

-5 -4 -3 -2 -1 -.53 -.51 0 .51 .53 1 2 3 4 5

By studying the number line above all decimal numbers greater than 0 but less than 1 are from 0, .1, .2,.........,.98, .99, 1.00 which is also the same as 1 because all numbers greater than 1 has an invisible point at its right side like 2., 3. which also means 2, 3 while negative number are all less than 0

7 0

3 years ago

75 is what percent of 1000?

sineoko [7]

$75 = \frac{x}{100} \times 1000\\75 =x \times 10\\x =7.5$ so your answer is 7.5%