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2 years ago

Find the area of the circle. Use 3.14 for it. d = 6 ft A = [?] ft2 A=Tr2

Mathematics

1 answer:

Sedaia [141]2 years ago

3 0

Answer:

28.26 ft^2

Step-by-step explanation:

Area of a circle is calculated using the following formula :

πr^2 (r: radius, and π is given as3.14)

the diameter is given as 6 and radius is equal to half of it so :

(3.14)*3^2 = 28.26 ft^2

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Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

2 years ago

If i have 480 grams of pasta for 4 people how many kilograms will i need for 14 people

Afina-wow [57]

$\bf \begin{array}{ccll} \stackrel{pasta}{grams}&people\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 480&4\\ g&14 \end{array}\implies \cfrac{480}{g}=\cfrac{4}{14}\implies \cfrac{480}{g}=\cfrac{2}{7} \\\\\\ \cfrac{480\cdot 7}{2}=g\implies 1680=g$

now, there are 1000 grams in one Kilogram, so in 1680 grams, there are 1680/1000 Kilograms, namely 1.680.

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2 years ago

Two equations are given below:

ch4aika [34]

Rewrite the equations;
m+4n=8
m-n=-2

Eliminating m gives;
5n=10
n=2
Replacing for n in the first equation;
m+4(2)=8
m=8
Answer;
(0, 2)

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2 years ago

A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?

defon

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

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2 years ago

What does a equal<br> a/6 = 15/2

OlgaM077 [116]

Answer:

a = 45

Step-by-step explanation:

Cross multiply: 2a =90

Divide both sides by 2: 45

I hope this helped, please mark Brainliest, thank you!

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2 years ago