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Drupady [299]
2 years ago
9

What is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin

Mathematics
1 answer:
jeka57 [31]2 years ago
6 0

Answer:

(- 4, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 4 ) → (- 4, 3 )

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2 years ago
Find A. Round to the nearest tenth.
Marianna [84]

Answer:

27.8 degrees

Step-by-step explanation:

Wasn't it 'a,' not 'A,' that you wanted?

The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:

                          a

Then 0.927 = -------    which yields a = 30(0.927) = 27.8 degrees

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3 0
3 years ago
Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
3 years ago
A milloniare estimates her wealth to be $2.2×10 to the nearst million dollars.what are the lower and upper bounds for the millio
Ostrovityanka [42]

Answer:

Lower bound=$2.15×10

Upper bound=$2.25×10

Step-by-step explanation:

A milloniare estimates her wealth to be $2.2×10 to the nearst million dollars.

In other words, his worth is $22 to the nearst million dollars.

To find the lower bound of the millionaire's wealth, we divide the level of precision by 2 and subtract from the millionaire's wealth.

Lower bound= 22-0.5=21.5 million dollars.

To find the upper upper bound, we add half of the level of precision to her estimate.

Upper bound =22+0.5=22.5 million dollars

3 0
3 years ago
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