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Sidana [21]
3 years ago
6

The perimeter of a right triangle is 25 meters, and the area is 20 square meters. The lengths of the sides are each multiplied b

y 3. What is the area of the new triangle? Please help me, not by just giving me the answer, but by explaining how I solve this so I can solve it on my own. Thanks :)
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
The Heron's formula for calculating area is
S=√p(p-a)(p-b)(p-c)
where
p is perimiter divided into 2
p=(a+b+c)/2
Then length of each side is multiplyed into 3
New p is bigger than old by three times
p=3(a+b+c)/2  
S=√3p*3(p-a)*3(p-b)*3(p-c)=9√p(p-a)(p-b)(p-c)
Area of new triangle are bigger than area of old triangle by 9 times.
S=20*9=180 square meters
Area of new triangle is 180 square meters.

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Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
ioda

Answer:

Part A:

x+y= 95

x = y+25

Part B : 35 minutes

Part C : No

Step-by-step explanation:

  • Part A :

Eric plays basketball and volleyball for a total of 95 minutes every day

x+y= 95

Where:

x =the number of minutes Eric plays basketball

y= the number of minutes he plays volleyball  

He plays basketball for 25 minutes longer than he plays volleyball.

x = y+25

System:

x+y= 95

x = y+25

  • Part B:

Replacing x=y+25 on the first equation:

(y+25) + y =95

Solving for Y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C : No

if x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Replacing y=60 on the other equation:

x = y+25

35 = 60+25

35 ≠85

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4 years ago
How much is 21 hundreds
Dmitrij [34]
21 hundreds would be 2100
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2 years ago
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Determine whether or not the three points are on the same line.<br> (1, -3) (3, 1) (5, 7)
alukav5142 [94]

Answer:

They are on the same line

Step-by-step explanation:

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Question 27<br><br> .........................................................
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Answer:

B

Step-by-step explanation:

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The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet. The elevation of the point closest
Gelneren [198K]

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.

The elevation of the point closest to sea level is feet

-8 ft

elevation of the point farthest from sea level is feet.

-47 ft

closet to sea level to farthest to sea level

-8ft , -18ft , -24ft , -47ft

4 0
3 years ago
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