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Black_prince [1.1K]
2 years ago
11

Find the perimeter and area of the following combined figure.​

Mathematics
2 answers:
timofeeve [1]2 years ago
8 0

Answer:

perimeter =136cm

and

area =560+308= 868 sq.cm

tankabanditka [31]2 years ago
8 0

Answer:

Area =867.9 cm2

Perimeter =99.4 cm

Step-by-step explanation:

Perimeter:

p=28+20+\pi r

\pi r=\pi (10)=10\pi

p=28+20(2)+10\pi =68+10\pi =99.4 cm

Area:

A=(28)(20)+\frac{\pi (14)^{2} }{2} =560+307.87=867.9cm^{2}

Hope this helps

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8 0
3 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

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