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Ainat [17]
3 years ago
8

Both circles have the same center. What is the area of the shaded region? r=10 m 7 m Use 3.14 for ​. Write your answer as a whol

e number or a decimal rounded to the nearest hundredth. square meters
Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

725.71 cm

Step-by-step explanation:

Using the attached diagram :

Diameter of inner circle = 26

Radius of inner circle = 26/2 = 13

Radius of entire circle = 13 + 7 = 20

The Area of a circle = πr²

Area of inner circle = π13² = 169π

Area of entire circle = π20² = 400π

Area of shaded portion :

Area of entire circle - Area of inner circle

400π - 169π = 231π = 725.71 cm

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For the graph, what is a reasonable constraint so that the function is at least 300?
blsea [12.9K]

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

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At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

8 0
3 years ago
1 1/4mi = ft, can someone explain this to me
skelet666 [1.2K]
First off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.

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\bf \begin{array}{ccll}&#10;feet&miles\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;5280&1\\&#10;f&\frac{5}{4}&#10;\end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad \frac{5}{4}\quad }\implies \cfrac{5280}{f}=\cfrac{\frac{1}{1}}{\quad \frac{5}{4}\quad }&#10;\\\\\\&#10;\cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f
4 0
3 years ago
10. Mr. Sanchez goes to the movies every 18 days. His brother goes to the
mestny [16]
90 days.

For this question you just need to find the least common multiple of 18 and 30. That can be found by first finding the prime factorization of each number. 18 = 2 * 3 * 3 and 30 = 2 * 3 * 5. Then you multiply the 2 * 3 * 3 * 5, you ignore the 3 from 30 because 18 has more 3s. The answer is 90.
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2 years ago
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