Answer:
180 out of 300
Step-by-step explanation:
Basically,
300÷120=2.5
Thereof,
72×2.5=180.
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Answer:
x = - 1
Step-by-step explanation:
Given
- 2(bx - 5) = 16 ← substitute b = 3
- 2(3x - 5) = 16 ( divide both sides by - 2 )
3x - 5 = - 8 ( add 5 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
Answer: 21
Step-by-step explanation:
420/20=21
Answer:
The two given numbers are 10.5 units apart.
Step-by-step explanation:
Subtract the smaller from the larger. The larger number here is 6.2. Then we have
6.2 - (-4.3) = 6.2 + 4.3 = 10.5
The two given numbers are 10.5 units apart.
Answer:
1. B) 5.7
2. A) 12
3. A) 11.4
4. A) 5.7
5. A) 16.2
6. A) 11.2
7. No, they do not form a right triangle
8. Yes, they do form a right triangle
Step-by-step explanation:
Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.
1.
16² + b² = 17²
256 + b² = 289
256 - 256 + b² = 289 - 256
b² = 33
√b² = √33
b = 5.74 or 5.7
2.
16² + b² = 20²
256 + b² = 400
256 - 256 + b² = 400 - 256
b² = 144
√b² = √144
b = 12
3.
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.40 or 11.4 = c
4.
7² + b² = 9²
49 + b² = 81
49 - 49 + b² = 81 - 49
b² = 32
√b² = √32
b = 5.65 or 5.7
5.
a² + 5² = 17²
a² + 25 = 289
a² + 25 - 25 = 289 - 25
a² = 264
√a² = √264
a = 16.24 or 16.2
6.
10² + b² = 15²
100 + b² = 225
100 - 100 + b² = 225 - 100
b² = 125
√b² = √125
b = 11.18 or 11.2
7.
15² + 8² = 16²
225 + 64 = 256
289 ≠ 256
8.
5² + 12² = 13²
25 + 144 = 169
169 = 169