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3 years ago

Wtite 0.75 as a fraction in simplest form

2 answers:

5 0

0.75 as a fraction is 3/4, and it’s already in the simplest form because the numerator (3), can’t be split. Think of it as three quarters, each quarter is 25 cents, and there are three of them, so that is 75 cents, and then let’s say you are counting how many quarters you have, to get a dollar, to get a dollar, you need 4 quarters, but you only have three so it makes it 3 quarters out of 4 (3/4). Hope this helps :)

Mrac [35]3 years ago

4 0

$\frac{3}{4}$

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Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up

Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0

3 years ago

Can u help me figure out this question plz

Dmitry [639]

Rectangle = 9*5=45
Triangle= 1/2 * 10 * 3 = 15
Add the two shapes: 45+15 = 60 sq units

4 0

3 years ago

Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst

BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0

3 years ago

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

$tan(\theta)=\frac{60}{1500}$