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2 years ago

The sum of three consecutive natural numbers is 465, find the numbers

Mathematics

1 answer:

QveST [7]2 years ago

3 0

Answer:

151, 152, 153

Step-by-step explanation: Add all three and it equals 465, and it follows the rules of consecutive numbers.

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A $400,000 loan has monthly interest-only payments of $2,600. What is the annual interest rate? 6.5, 7.2, 7.4 or 7.8?

Amiraneli [1.4K]

(annual interest)/(loan amount) = interest rate
(12×$2,600)/$400,000 = .078 = 7.8% . . . . annual interest rate

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2 years ago

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Which of the following completes the proof?

mihalych1998 [28]

Answer:

Step-by-step explanation:

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1) A 1.5 kg apple pie is sitting on the kitchen counter . If it has 13.44 J of gravitational potential energy, how tall is the c

vampirchik [111]

Answer: 0.91 m

Explanation:

We know that,

P.E. = m g h

Where,

P.E = Potential energy

m = Mass of the object

g = acceleration due to gravity (9.8 m/s²)

It is given that, m = 1.5 kg

P.E. = 13.44 J

⇒ 13.44 = 1.5 kg × 9.8 m/s² × h

⇒ h = 0.91 m

Hence, apple sits om 0.91 m tall counter.

Answer: 216 J

Explanation:

P.E. = m g h

Weight, mg = 120 N ( given)

height, h = 1.8 m ( given)

The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)

P.E. = 120 N × 1.8 m = 216 J

Hence, the energy possessed by the suitcase sitting on the counter is 216 J.

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2 years ago

Nezzie is shopping for items for her daycare because the store is having a sale where everything in the store is 10% off. Nezzie

mojhsa [17]

Answer:

No. Nezzie has taken successive discounts on the total, but the coupon is just on the playhouse.

Step-by-step explanation:

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2 years ago

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.

Yanka [14]

Answer:

Perimeter =110 feet

Area=360 feet^2

Step-by-step explanation:

Firstly, we can draw diagram

Perimeter:

we will find perimeter of rectangle and right angled triangle

and then we can add them to find perimeter

Perimeter of rectangle = 15+20+15+20

Perimeter of rectangle = 70

Perimeter of triangle = 17+8+15

Perimeter of triangle = 40

so,

total perimeter = (Perimeter of rectangle)+(Perimeter of triangle)

total perimeter =70+40

total perimeter =110 feet

Area:

We can find area of rectangle and area of right angled triangle

and then we can combine them

Area of rectangle is

$=20\times 15$

$=300$

Area of triangle is

$=\frac{1}{2}\times 8\times 15$

$=60$

now, we can combine

total area =300+60

total area =360 ft^2

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2 years ago