MATHEMATICS HIGH SCHOOL

A) Calculate the magnitude of the angle a in the diagram above. b) Find the length of OT

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a) Calculate the magnitude of the angle a in the - 1

Answers

Answer 1
Answer:

Answer:

angle a = 53.13 degrees and OT = 5cm

Step-by-step explanation:

Tan A = 4/3

A = 53.13

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Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8 an = one half(2)n − 1 an = 2(2)n − 1 an = 4(−2)n − 1 an = 2(one half)n − 1
What’s #10 I need it worked out not just the answer.

Wwhat the next number should be. 1 3 4 7 11 18 29 ___

Answers

1+3=4
4+7=11
11+18=29
18+29=47


47 is the answer.


I hope this helps.
Please mark me as the brainliest.

How do I solve #38?

Answers

(3- √(2) )/(2 √(3) +5) * (2 √(3) -5)/(2 √(3) -5) = (6 √(3) -15-2 √(6) + √(10) )/(12-5) =(6 √(3) -15-2 √(6) + √(10) )/(7)

List three multiples of 9.

Answers

Three multiples of 9 are :9,18,27,36. They are mutiples of 9 because their digits sum is nine and  all are exact number of 9 too.

The outlier, 78, is removed from the data set shown.23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78

How does this affect the range?


A.) The range is decreased by 4.

B.) The range is decreased by 16.

C.) The range is decreased by 22.

D.) The range is decreased by 33.

Answers

An outlier of a set of data is a data value that is too small or too large compared to other values in the set of data. Range of a set of data is the difference between the largest data value and the smallest data valu in the set of data. Range of 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 is 78 - 23 = 55 When the outlier 78 is removed, the range of the data set 23, 23, 25, 27, 34, 34, 35, 41, 45, 45 is 45 - 23 = 22 Thus, when the outlier 78 is removed, the range of the data set decreases by 55 - 22 = 33. Therefore, the correct answer to the question "The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?" is "The range is decreased by 33." (option D).
the awnser is d of course

Two rectangular prisms have the same surface area. Prism A has a length of 6 inches and a width of 2 inches. Prism B has a length of 4 inches and a width of 3 inches. How much taller, in inches, is Prism B than Prism A

Answers

Answer: Prism B is 6 inches taller than Prism A.

Step-by-step explanation:

To find the height difference between Prism B and Prism A, we need to compare their dimensions and surface areas.

1. Start by calculating the surface areas of Prism A and Prism B. The surface area of a rectangular prism is given by the formula \(2lw + 2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

For Prism A:

Surface area of Prism A = \(2(6 \times 2) + 2(6 \times h) + 2(2 \times h)\)

= \(12 + 12h + 4h\)

= \(12 + 16h\)

For Prism B:

Surface area of Prism B = \(2(4 \times 3) + 2(4 \times h) + 2(3 \times h)\)

= \(24 + 8h + 6h\)

= \(24 + 14h\)

2. Since the two prisms have the same surface area, we can set their surface area equations equal to each other and solve for \(h\):

\(12 + 16h = 24 + 14h\)

3. Simplify the equation:

\(16h - 14h = 24 - 12\)

\(2h = 12\)

4. Solve for \(h\) by dividing both sides of the equation by 2:

\(h = \frac{12}{2}\)

\(h = 6\)

Therefore, Prism B is 6 inches taller than Prism A.

Final answer:

To find the difference in height between Prism A and Prism B, we compare their base areas and calculate their respective heights based on the same surface area.

Explanation:

Prism A has a length of 6 inches and a width of 2 inches, while Prism B has a length of 4 inches and a width of 3 inches. To compare their heights, we need to find their base areas first.

The base area of Prism A is 6 x 2 = 12 square inches, and the base area of Prism B is 4 x 3 = 12 square inches as well. Since they have the same surface area, their heights must be different.

To find the difference in height, we divide the surface area by the base area to get the height. For Prism A, 12 / 12 = 1 inch. For Prism B, 12 / 12 = 1 inch as well. Therefore, Prism B is 1 inch taller than Prism A.

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Janet is three years older than her sister Julie. Janet's brother is eight years younger than their sister Julie. the sum of all of their ages is 55 years.

Answers

Let us assume age of Julie to be x years this implies age of janet is (x + 3) years and age of Janet's brother is (x - 8) in this way we will solve for x and find out everyone's age.

How we are assuming and constructing ages from the given question and forming them into mathematical expressions ?

here we have taken x years for the person having least age for our convenience.Her sister is 3 years older than her so her age addition to 3 years.Her elder brother is 8 years younger than her sister so her sister's age less to 8 years.

in the given question sum of their ages is 55

So,

        [ x + (x + 3) + (x - 8) ] = 55

         3x - 5 = 55

         3x = 60

          x = 20

So, Julie's age is 20 years

     Janet's age is 20 +3 = 23 years

      Janet's brother's age is  = 20 - 8 = 12 years.

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Assume Julie is x years old

(x+3)+x+(x-8)=55                   Julie is 20 years old

3x-5=55                                 Janet is 23 years old

3x=60                                     brother is 12 years old

x=20
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