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lozanna [386]
2 years ago
9

The perimeter of a square is 192 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each sid

e of the new square?
Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

60cm

Step-by-step explanation:

perimeter of a square=4L

192cm=4L

L=48cm

Dilated by ratio 0.25

1 : 0.25 = 48 : 12

New length = 48+12 = 60cm.

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A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

138=19.3(1089)^m\\(1089)^m=7.15

Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

5 0
2 years ago
What is the surface area of this rectangular prism that has 9 ft a width of 5 feet and a height of 7.5ft
daser333 [38]
To get your answer:

9 times 5 times two= 90
9 times 7.5 times two= 135
5 times 7.5 times two= 75

then add all of them together and you will get the surface area
90+135+75=300
you should have an answer of 300 feet²
6 0
3 years ago
Read 2 more answers
Help find perimeter and area
klio [65]

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ײ + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

---------------------

2

= 47 x 24/2

= 47 x 12

= 564mm²

8 0
3 years ago
30% of 20<br>30% of 30<br>30% of 40
Allushta [10]
20X0.3= 6
30X0.3= 9
40X0.3= 12
5 0
3 years ago
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Which relationship describes angles 1 and 2?
Vikki [24]
Vertical angels is the answer
8 0
2 years ago
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