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3 years ago

Note: angles not necessarily drawn to scale.

Mathematics

2 answers:

WITCHER [35]3 years ago

6 0

Answer:

X=60°

Step-by-step explanation:

Gala2k [10]3 years ago

3 0

Angle AGD is a right angle which equals 90 degrees.

Angle FGD would be 90-73 = 17 degrees.

Angle X is a vertical angle to FGD, which means they are the same.

Angle X = 17 degrees.

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In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer

laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0

3 years ago

The volume of a cone is 16 pi cubic inches is is 12 inches what is the radius of the cone

Furkat [3]

Answer:

Step-by-step explanation:

3 0

3 years ago

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

bearhunter [10]

Answer:

mean=110/8 =13.75 pounds; median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

average= take total of mean, then divide it by the number of amounts that appear 110/8 =13.75

8 0

2 years ago

If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6

Roman55 [17]

Answer:

67 times

Step-by-step explanation:

Spinner's sample space = (1, 2, 3, 4, 5, 6)

Number less than 5 = (1, 2, 3, 4)

Total possible outcomes = 6

Required outcome = 4

P(number less than 5) = required outcome / Total possible outcomes

P(number less than 5) = 4 /6 = 2/3

Number of spins = 100

Predicted Number of times a number less than less than 5 is spurn in 100 spins :

100 * 2/3

= 66.666

= 67 times

8 0

2 years ago

I need help with some tutorverse questions, thanks!

Aloiza [94]

Answer:

11. c

12. c

Step-by-step explanation:

11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.

Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.

Angle RTS + Angle STU + Angle UTQ = 180 degrees

60 + 45 + Angle UTQ = 180

Angle UTQ = 180 - 105

= 75 degrees

12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.

x + y

45 + 35

8 0

1 year ago

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