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3 years ago

Area of this composite figure

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Answer:

The area of a triangle is equal to its base times its height divided by 2: \begin{align*}A=\frac{bh}{2}\end{align*}. In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.

Step-by-step explanation:

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a parallelogram has a base of 3 feet and a height of 5 feet. The base and height will each be doubled. Will the area also be dou

navik [9.2K]

Answer:

No, doubling the base and height would actually quadruple the area,

Step-by-step explanation:

With the original measurements of b = 3 ft and h = 5 ft,

b x h = A

(3) x (5) = 15 ft

So lets say we doubled the factors:

(2)(3) x (2)(5) = A

We would end up with 60 feet, four times that of 15.

(6) x (10) = 60 ft

3 0

3 years ago

A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

EleoNora [17]

Answer:

7,692 moose.

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

0 40

1 62

2 96

3 149

4 231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

1) P₀ 

Using the first term of the sequence (0, 40) you get:

P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

2) r

Take two consecutive terms of the sequence:

P(0) = 40 r⁰ = 40

P(1) = 40 r¹ = 40r = 62

P(1) / P(0) = 40r / 40 = 62/40

r = 62/40 = 1.55

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

3) Model

Thus, your model is P(x) = 40(1.55)ˣ

 4) Population of moose after 12 years

P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.

7 0

3 years ago

how to determine which quantity is independent and which quantity is dependent when considering a situation

KATRIN_1 [288]

An easy way to think of independent and dependent variables is, when you're conducting an experiment, the independent variable is what you change, and the dependent variable is what changes because of that. You can also think of the independent variable as the cause and the dependent variable as the effect.

I hope this helps!

7 0

3 years ago

The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")

t + b = 38 (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b: 6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)

There are 20 booths and (38 - 20), or 18, tables.

6 0

4 years ago

Help me please,Thanks

Solnce55 [7]

Download photo math rate 5 <3

7 0

3 years ago