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Ronch [10]
3 years ago
6

What is the approximate circumference of the circle shown below?​

Mathematics
2 answers:
aniked [119]3 years ago
8 0

Answer:

D: 109 cm

Step-by-step explanation:

The formula of circumference is

\pi d

Diameter =

17.4 \times 2 = 34.8

Hence, circumference =

34.8 \times \pi = 109.32742...

rounded of to 109.

blondinia [14]3 years ago
3 0

Answer:

circumference of a circle = 109.272

so correct option is D. 109 cm

Step-by-step explanation:

given data

circle radius = 17.4 cm

to find out

What is the circumference of the circle

solution

we will apply here formula for the circumference of a circle that is express as

circumference of a circle = π × d    .........................1

here d is diameter of circle

and we know diameter = 2 × radius

put her value of radius we get diameter

so diameter d = 2 × 17.4 cm

diameter d = 34.8 cm

put these value in equation 1 we get

circumference of a circle = 3.14 × 34.8

circumference of a circle = 109.272

so correct option is D. 109 cm

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analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
3 years ago
Read 2 more answers
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The variable "x" equals 7
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3 years ago
HELP PLEASE HURRY!!
nikklg [1K]
The second one !!!

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6 0
2 years ago
Devon is 30 years older than his son, Milan. The sum of both their ages is 48. Using the variables d and m to represent the ages
statuscvo [17]

Answer+Step-by-step explanation:

m = man's age

s = son's age

m=s+36

(m+8)=3*(s+8)

Resolves to: s=10, m=46

So the man is 46 (=10+36).

In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.

5 0
3 years ago
A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili
Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0
3 years ago
Read 2 more answers
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