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Law Incorporation [45]
3 years ago
13

150,000 is 70% of what number?

Mathematics
1 answer:
Kipish [7]3 years ago
4 0
=150000 * 70/100
=10500000/100
=105000




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Two joggers run 8 miles north and then 5 miles west. What is the shortest
Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

4 0
2 years ago
Find the area of each face of the triangular prism and the total surface area.
Mashutka [201]

Answer:

area of each triangular base = 24

area of bottom rectangular face = 160

area of back rectangular face = 120

area of sloped rectangular face = 200

Total = 504

Step-by-step explanation:

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3 years ago
what is the Recursive Formula and the Explicit Formula for Let a1=2, 9, 16, 23, and Let a1=2, 14, 98, 686, ...
Romashka [77]

Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

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