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photoshop1234 [79]
2 years ago
10

A circular pizza with a diameter of 12 inches is cut along radii into three wedge-shaped slices. The measure of two of the centr

al angles are 80 degrees and 130 degrees. What is the number of square inches in the area of the largest slice? (express your answer in terms of pi)
​
Mathematics
1 answer:
yan [13]2 years ago
5 0

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

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When multiplying or dividing integers,if you an even amount of negatives in the promblem ,your answer will be negative true or f
tatuchka [14]

Answer: false

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
0.15=0.150 true or false
Olenka [21]
True, the zero at the end doesn't matter.
0.15=0.150
6 0
3 years ago
A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total
larisa86 [58]

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

<h3>Find the required expression:</h3>
  • Algebraic expression is made up of numbers, operations and variables.
  • Algebraic expression is true for all values of x.
  • For example, 2x, 5x + 9 etc.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

Learn more about algebraic expression here:

brainly.com/question/953809

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7 0
1 year ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent.
kipiarov [429]

Answer:

SAS

Step-by-step explanation:

It doesnt show the hypotenuse so its no HL

It doesnt show 2 angles so its not SAA or ASA

It doesnt show three sides so its not SSS

The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS

3 0
3 years ago
Tom bought one third pickles as many pickles as alexa. Together their pickles cost 56p. How many pickles did they each buy?
nordsb [41]

Answer:

Step-by-step explanation:

let    pickle bought by alexa =x

then according to given condition ,

pickle bought by Tom= (1/3) of Alexa

pickle bought by Tom= (1/3) x

hence also given

totall pickle cost = Tom cost + alexa cost = 56p

(1/3)x+x=56

taking L.C.M

(4/3)x=56

x=56*3/4

x=42 p

so it means,

<h2>Alexa cost = x = 42p</h2><h2>Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
7 0
2 years ago
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