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svlad2 [7]
3 years ago
6

The base of a trinagle is increased by 20% and it’s height is increased by 30%. By what percent is the area of the triangle incr

eased?
Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y

Area of a triangle is base times height divided by 2:

1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy

But a normal area would be 50% of xy

78% - 50% = 38%

ANSWER: 38% increase

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irina1246 [14]

2x + 6 = x - 5

2x - x = -5 - 6

x = -11 ← the end

8 0
3 years ago
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 y
soldier1979 [14.2K]

Answer:

36900

Step-by-step explanation:

It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900

8 0
3 years ago
the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.
kati45 [8]
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
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Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7

And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
3 0
3 years ago
Choose the missing step in the given solution to the inequality -x -10 &gt; 14 + 2x <br>​
Andreyy89

Answer:

x < -8

Step-by-step explanation:

-x - 10 > 14 + 2x

Subtract 2x from both sides;

-3x - 10 > 14

Add 10 to both sides;

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The sign switches when divide by a negative number.

x < -8

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Find the area and perimeter of the shape below​
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Step-by-step explanation:

what is that X, and X²???

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