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tester [92]
2 years ago
6

A monument in a park is shaped like a square pyramid. The dimensions are shown in the net. What is the surface area of the monum

ent, including the base? 3 m2
Mathematics
1 answer:
vampirchik [111]2 years ago
5 0

The surface area of the monument shaped like a square pyramid is 14 m².

<h3>Area </h3>

Area is the amount of space that is occupied by a two dimensional shape or object.

From the diagram

Area of each triangle = (1/2) * base * height = (1/2) * 2 * 2.5 = 2.5 m²

Area of square = length * length = 2 m * 2 m = 4 m²

Surface area of monument = 4(2.5) + 4 = 14 m²

The surface area of the monument shaped like a square pyramid is 14 m².

Find out more on Area at: brainly.com/question/25292087

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If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)
Vikentia [17]
Hi there!

First we need to remember the following.
(f + g)(x) = f(x) + g(x)

Now substitute both of the formulas.
(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)

Work out the parenthesis.
(f + g)(x) = {3}^{x} + 10x + 4x - 2

And finally collect terms.
(f + g)(x) = {3}^{x} + 14x - 2

~ Hope this helps you!
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3 years ago
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Is 3/8 equivalent to 3/8
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Yes, they're equivalent values.
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Eliza is two years younger than half her brother, Juan’s age. Write an equation to represent Eliza’s age. If Juan is 6 how old i
Natalka [10]
X = Juan's age
y = Eliza's age

Some key words/phrases we can use to help us make the equation are:

-is (whatever comes after this word usually equals the end result, or what it equals)
-two years younger
-than
-half her brother's age
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just break it down :)

x/2 (half her brother's age) - 2 (two years younger) = y (Eliza is...)

| basically,
v

x/2 - 2 = y
So if Juan is 6, then we need to plug in 6 for x.

6/2 - 2 = y

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ANSWER: Eliza is one year old.
6 0
3 years ago
A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days
Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50. 

p(50) = 20(1.014)50 = 40.08... 

p(100) = 20(1.014)100 = 80.32... 

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

7 0
3 years ago
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