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neonofarm [45]
3 years ago
8

The length of each side of a triangle is increased by 30%. By what percentage is the area increased?

Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

When sides are doubled, the area of new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.

Step-by-step explanation:


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Can someone please help me with this logarithm equation!!
enot [183]

Answer:

\frac{629}{2}

Step-by-step explanation:

So, our equation is:

log_5(\frac{2x-4}{5})  = 3

In exponetial form, this looks like:

5^3=\frac{2x-4}{5}

Now lets cube the 5:

125=\frac{2x-4}{5}

Next, we can multiply the denominator on the right side by 5:

625=2x-4

We need to now get x alone by adding 4 to both sides:

629=2x

Finally, we divide by x's coefficent, 2, to get:

x=\frac{629}{2}

Hope this helps! :3

6 0
3 years ago
I am confused about ii) help please
Jobisdone [24]

Step-by-step explanation:

i)=

m=2/3

x=-3

y = 5

now

y=mx+c

or, 5 = 2/3× -3 + c

or, 5 = -2+c

c =7

now,

y= mx + c

or, y = 2/3×x+7

or, y = 2x/3+7

or, 3y = 2x+21

so, 3y-2x=21

equation would be 3y-2x=21.

now

ii)=

if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.

2x-3y = 0

2x = 3y

lets suppose x is 9

now

2x=3y

2×9 = 3y

or, 18 = 3y

so, y = 6

one coordinate would be (9,6) now

lets again suppose x is 3

2x=3y

2×3 = 3y

or, 6 = 3y

so, y = 2

another coordinate is (3,2)

now lets find slope

x1=9,y1=6

x2=3,y2=2

slope = (y2-y1)/(x2-x1)

= (2-6)/(3-9)

= -4/-6

= 2/3

Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.

6 0
3 years ago
What are the answers to this? PLEASE HELP.
shepuryov [24]

Answer:

Ray : Line NA, Line NB, Line AB

Vertex : Vertex N

Angle: Angle ANB

Parallel Lines: None

Coplanar Points: Points C, A, F, N, B

Collinear Points: Points A, N, B

Segment Addition Postulate: AN + NB = AB

Perpendicular Lines: None

6 0
3 years ago
Radius is 6 height is 4 what is the volume rounded to the nearest hundredth
Ainat [17]

Answer:

Step-by-step explanation:

What are we calculating ??? If it is volume of a cone=1/3πr^2h

1/3×3.142×4×4×6

=100.54units cube

To calculate volume of cylinder=πr^2h

V=3.142×4×4×6

V=301.63 units cube

6 0
3 years ago
In science class, a student is measuring the temperature of a solution in science experiment. The solution
Radda [10]

Answer:

-11.8

Step-by-step explanation:

<u>Given:</u>

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

<u>To find:</u>

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

6 0
2 years ago
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