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4 years ago

What is the circumference of the circle below in terms of pie?

Mathematics

2 answers:

asambeis [7]4 years ago

5 0

<span>We have to calculate the circumference of a circle and to choose the correct answer. The circumference of a circle is given by a formula: C = 2 r Pie. In this case radius of the circle is : r = 2.2. Therefore C = 2 * 2.2 Pie = 4.4 Pie. Answer: The circumference of the circle is: D ) 4.4 Pie.</span>

prisoha [69]4 years ago

4 0

Answer:

Step-by-step explanation:

4.4 pi sign

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Add: (112 + 2) + (92 - 4)

pantera1 [17]

Answer:

See below.

Step-by-step explanation:

(112+2)+(92-4)

114+88

202

-hope it helps

5 0

2 years ago

Read 2 more answers

A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

Luda [366]

<h2>○=> <u>Correct answer</u> :</h2>

$\boxed{\color{hotpink}\tt18.75\%}$ of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

$=\tt 650 + 150$

$\color{plum}=\tt 800 \: ml$

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

$= \tt\frac{x}{100} \times 800 = 150$

$= \tt \frac{x \times 800}{100} = 150$

$=\tt \frac{800x}{100} = 150$

$=\tt 8x = 150$

$=\tt x = \frac{150}{8}$

$\hookrightarrow\color{plum} \bold{x = 18.75\%}$

Then, the percentage of water in the drink :

$= \tt100 - 18.75$

$\color{plum}= \tt81.25\%$

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0

3 years ago

Read 2 more answers

The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x

Mariulka [41]

Answer:

-3,5

Step-by-step explanation:

$d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} }$

$5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} }$

$5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} }$

$25 = (x - 1) {}^{2} + 9$

$16 = (x - 1) {}^{2}$

$4 = x - 1$

$x = 5$

$- 4 = x - 1$

$x = - 3$

7 0

2 years ago

Factor completely. 10x^3 + 2x^2 + 5x + 1

elena55 [62]

Answer:

(5x+1)(2x^2+1)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

8 0

3 years ago

A 20-foot tall flagpole is leaning towards a house. If the flagpole makes an 85 degree angle with the ground and the angle of el

PolarNik [594]

Answer:

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

Step-by-step explanation:

We are given the following in the question:

Height of pole = 20 foot

Angle between pole and ground = 85 degrees

Angle of elevation from the base of the house to the top of the pole = 55 degrees

Then, the third angle of the triangle can be found as:

Angle sum property of triangle: The sum of the three angles of a triangle is 180 degrees.

$x + 85 + 55 = 180\\x = 180 - 140\\x = 40^\circ$

Thus, by the sin rule, we can write:

$\dfrac{\text{Distance from the base of the flagpole to the house}}{\sin 55} = \dfrac{20}{\sin 40}\\\\\Rightarrow \text{Distance from the base of the flagpole to the house} = 20\times \dfrac{\sin 55}{\sin 40}\\\\=20\times \dfrac{0.82}{0.64} = 25.625$

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

4 0

3 years ago