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Alenkasestr [34]
2 years ago
14

(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is

12 inches. The area of the top of the plate is ____ inches squared. Numerical Answers Expected! Answer for Blank 1:
Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

Answer:

42 inches squared.

Step-by-step explanation:

Base of the Triangular Plate = 7 Inches

Height = 12 Inches

Area of a Triangle =\dfrac12 \times Base \times Height

Therefore:

T$he area of the top of the plate=\dfrac12 \times 7 \times 12\\\\=$42 inches squared.

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The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

8 0
2 years ago
Which statement is true about the end behavior of the graphed function?
Tems11 [23]

Answer:

(SEE EXPLANATION FIRST)

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinite

Step-by-step explanation:

If this is the graph you can read the answer

6 0
2 years ago
Read 2 more answers
Let Xn be the random variable that equals the number of tails minus the number of heads when n fair coins are flipped. What is t
Firlakuza [10]

Answer:

the expected value of Xn , E(Xn) = 0 and the variance σ²(Xn) = n*(1-2n)

Step-by-step explanation:

If X1= number of tails when n fair coins are flipped , then X1 follows a binomial distribution with E(X1) = n*p , p=0,5 and the number of heads obtained is X2=n-X1

therefore

Xn =X1-X2 = X1- (n-X1) = 2X1-n

thus

E(Xn) =∑ (2*X1-n) p(X1) =  2*∑[X1 p(X1)] -n∑p(X1) = 2*E(X1)-n = 2*n*p--n= 2*n*1/2 -n = n-n =0

the variance will be

σ²(Xn) = ∑ [Xn - E(Xn)]² p(Xn) = ∑ [(2X1-n) - 0 ]² p(X1) = ∑ (4*X1²-4*X1*n+n²) p(X1) = = 4*∑ X1²p(X1) - 4n ∑X1 p(X1) -  n²∑p(X1) = 2*E(X1²) -4n*E(X1)- n²

since

σ²(X1) = n*p*(1-p) = n*0,5*0,5=n/4

and

σ²(X1) = E(X1²) - [E(X1)]²

n/4 = E(X1²) - (n/2)²

E(X1²) = n(n+1)/4

therefore

σ²(Xn) = 4*E(X1²) -4n*E(X1)- n² = 4*n(n+1)/4 - 4*n*n/2 - n² = n(n+1) - 2n² - n²

= n - 2n² = n(1-2n)

σ²(Xn) = n(1-2n)

4 0
1 year ago
There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?
Slav-nsk [51]

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

7 0
1 year ago
Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
Umnica [9.8K]

The statements and their individual answers are not provided in the question. However, please check the explanation given below for the equation.

Step-by-step explanation:

  • The equation given is \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 }
  • Divide the leading term of the dividend by the leading term of the divisor: \frac{2x^{4} }{2x^{2} }  = x^{2}
  •  Multiply it by the divisor: x^{2} ({2x^{2} -3x +1) = 2x^{4} - 3x^{3} + x^{2}
  • Subtract the dividend from the obtained result: (2x^{4} + 7x^{3} + 18x^{2} + 11x - 2) - (2x^{4} - 3x^{3} + x^{2} ) = (10x^{3} + 17x^{2} + 11x -2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{10x^{3}}{2x^{2} }  = 5x
  • Multiply it by the divisor: 5x (2x^{2} - 3x + 1) = 10x^{3} - 15x^{2} + 5x
  • Subtract the remainder from the obtained result: (10x^{3} + 17x^{2} + 11x -2) - (10x^{3} - 15x^{2} + 5x) = (32x^{2} + 6x - 2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{32x^{2} }{2x^{2} } = 16
  • Multiply it by the divisor: 16 (2x^{2} - 3x +1) = 32x^{2} - 48x +16
  • Subtract the remainder from the obtained result: (32x^{2} + 6x - 2) - (32x^{2} - 48x +16) = 54x - 18
  • Since the degree of the remainder is less than the degree of the divisor, then we are done.
  • Therefore,  \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 } = (x^{2} + 5x +16 + \frac{54x - 18}{2x^{2}  - 3x +1})
7 0
2 years ago
Read 2 more answers
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