Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
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<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
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<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
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<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
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<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
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<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
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<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
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<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
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Answer:
23.44%
Step-by-step explanation:
The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5
= 0.01116
There are 7C2 ways of the 2 4's being in different positions
= 7*6 / 2 = 21 ways.
So the required probability = 0.01116 * 21
= 0.2344 or 23.44%.
Answer:
120
Step-by-step explanation:
2 of every 5 trees are pine trees.
2/5 · 300 = 120
120 pine trees are going to be planted in the park.
Answer:
Six.
Step-by-step explanation:
In geometry, a hexagon is a two-dimensional polygon that has six sides. A regular hexagon is a hexagon in which all of its sides have equal length. We sometimes define a regular hexagon using equilateral triangles, or triangles in which all of the sides have equal length.
The regular hexagon is a convex polygon with six equal sides and six equal angles. Each external angle of the regular hexagon measures 60 degrees. It is closely related to equilateral triangles: Joining each vertex with its opposite, the regular hexagon is divided into six equilateral triangles.
9514 1404 393
Answer:
0.4, 0.004, 0.004
Step-by-step explanation:
The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.
4/10 = 0.4 ⇒ 10 times 0.4 = 4
0.04 and .04 are exactly the same value, so the last two on your list are the same:
0.04/10 = 0.004 ⇒ 10 times .004 = 0.04
