A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures 90 degrees: If Larry eats the slices in order from the largest to the smallest, then the number of degrees spanned by a slice decreases at a constant rate. (So the second slice is smaller than the first by a certain number of degrees, then the third slice is smaller than the second slice by that same number of degrees, and so on.)
What is the degree measure of the fifth slice Larry eats?
Can someone explain how they got the answer and what numbers to use?
Answers
9514 1404 393
Answer:
42°
Step-by-step explanation:
The problem tells you the degree measures form an arithmetic progression. The sum of the 6 terms of the progression is 360, and the first term is 90.
The sum of n terms of an arithmetic progression is given by ...
Sn = (a1 +d/2(n -1))n
For Sn = 360, a1 = 90, n = 6, we have ...
360 = (90 +d/2(5))(6)
Dividing by 6 and subtracting 90 gives ...
-30 = 5/2d
Multiplying by 2/5, we find the number of degrees difference to be ...
d = -12
Then the 5th term of the sequence is ...
an = a1 +d(n -1)
a5 = 90 -12(5 -1) = 90 -48 = 42
The 5th slice Larry eats has a measure of 42 degrees.
_____
The slices measure 90, 78, 66, 54, 42, 30 degrees.
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b
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c
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d
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Answers
Answer:
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Step-by-step explanation:
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A) Solve the Gompertz equation
dy dt = ryln(K/y)
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Answer:
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Step-by-step explanation:
Find the step by step solution to the question in the attachment.
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Answer:
Step-by-step explanation:
Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue at the same rate.
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Answer:
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Step-by-step explanation:
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With a scale of ⅛ in. to 1 ft. Philadelphia City Hall is … I know this because …
With a scale of 1 to 96 Philadelphia City Hall is … I know this because …
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Answer:68.5
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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filling up at a rate of 5 gallons per minute,
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draining at a rate of 8 gallons per minute,
Solve the following system of equations,
In how many minutes will the tanks
contain the same amount of water, and
how much water will that be?
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Answer:
35 + 5x= 100 -8x =
Step-by-step explanation:
35 +5x =100 -8 x
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Answer:
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Answer:
Yes it is a useful suggestion
Step-by-step explanation:
Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.
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Answer and Step-by-step explanation:
ANOVA model is mathematical model describe relationship between response and treatment.
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Question: A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
Answer:
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Find out more information about the company operates.
brainly.com/question/26676604.
The complete question is :
A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
A. $3.53
B. $3.55
C. $3.68
D. $3.70
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Therefore, $ 2.99 is needed more to buy the latest version of favorite video game
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Enter your answer in the box.
cups
Answers
Answer:
minimum 11 cups
Step-by-step explanation:
155 + 15c = 30c
155 = 15c
10.333 = c
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Answer:
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Step-by-step explanation:
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Sienna has a bag of 10 marbles. Five marbles are blue, four marbles are red, and 1 marble is yellow. Sienna draws two marbles from the bag without replacing the marble. What is the probability of drawing two blue marbles?
Answers
probability of drawing two blue marbles= 5/10
= 1/2
Given parameters:
Number of marbles in the bag = 10 marbles
Number of blue marbles = 5 marbles
Number of red marbles = 4 marbles
Number of yellow marbles = 1 marble
Unknown:
The probability of drawing two blue marbles.
Probability is the likelihood of an event to occur. It is the number of possible outcomes divided by the sample space.
Probability values ranges from 0 to 1
1 is a certainty that an event will occur.
0 shows that the event will not occur.
The probability of drawing the first blue marble = [tex]\frac{5}{10}[/tex]
Probability of drawing the second marble without replacing the marble = [tex]\frac{4}{9}[/tex]
Now,
The probability of drawing two blue marbles without replacement is;
= [tex]\frac{5}{10}[/tex] x [tex]\frac{4}{9}[/tex]
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Dan enlarged the size of a triangle to a
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Answers
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14 in.
Step-by-step explanation:
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Answers
Answer:
1
Step-by-step explanation:
The value of product of expression tan A and tan C is,
⇒ tan A × tan C = 1
Here, We have;
In triangle ABC;
⇒ ∠ A = 45°
⇒ ∠ B = 90°
⇒ ∠C = 45°
Hence, We get;
The value of product of tan A and tan C is,
⇒ tan A × tan C =
⇒ tan 45° × tan 45°
⇒ 1 × 1
⇒ 1
Thus, The value of product of expression tan A and tan C is,
⇒ tan A × tan C = 1
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