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3 years ago

Find three right triangles based upon the Pythagorean Triple of 8, 15, and 17. Explain how you know these are triangles.

1 answer:

7 0

A^2 + b^2 = c^2
8^2 + 15^2 = 17^2
64 + 225 = 289
289=289
It is a triangle because the numbers match the Pythagorean Theorem.

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Length of rectangle is 4 m less than 3 times its breadth. If the perimeter of rectangle is 32 m. Find its length and breadth B=1

timama [110]

Answer:

Length = 11m and the Breath = 4m

Step-by-step explanation:

L = 3B - 4

p = 32m

2( L + B ) = 32

L + B = 32/2

L + B = 16

(3B - 4) + B = 16

3B - 4 + B = 16

4B - 4 = 16

4B = 16 + 4

4B = 20

B = 20/4 = 5m

B = 5m

L = 3B - 4

L = 3(5) - 4

L = 15 - 4

L = 11m

please brainliest

6 0

2 years ago

Help me please..........

romanna [79]

Answer: (-3; -11)

Step-by-step explanation:

$\left \bigg \{ {\big{y=7x+10} \atop\big {y=-4x-23}} \right.\\\\7x+10=-4x-23\\7x+10-10=-4x-23-10\\7x=-4x-33\\7x+4x=-4x-33+4x\\11x=-33\\11x \div 11=-33 \div 11\\x=-3\\\\y=7x+10\\y=7 \times (-3)+10=-21+10=-11$

5 0

3 years ago

PLEASE HELP!! 20 POINTS!! paul us getting a new bike, He can get either a racing bike or a mountain bike. His color choices are

serg [7]

Answer:

6 possible outcomes, 50% or 3/6 getting the racing bike, 2/6 or 1/3 being red, and 2/6 or 1/3 getting silver bike.

Step-by-step explanation:

racing bike mountain bike

red black silver red black silver

3 0

3 years ago

The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700

OverLord2011 [107]

Answer:

Return on investment (ROI) = 7%

Step-by-step explanation:

Given:

Amount invested = $10,000

Total amount get (refund) = $10,700

Find:

Return on investment (ROI) = ?

Computation:

Amount Return = Total amount get (refund) - Amount invested

Amount Return = $10,700 - $10,000

Amount Return = $700

$Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7$

Return on investment (ROI) = 7%

3 0

2 years ago

£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

Mark gets three times as much as Henry

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

8 0

3 years ago