Answer:
x= 35
Step-by-step explanation:
Cos x = Sin( 20+x)
Sin ( 90 – x) = Sin(20+x)
90 – x = 20+x
2x = 70
x = 35
Answer:
58.6 cm;
20.1 m
Step-by-step explanation:
✔️Length of arc = θ/360 × 2πr
Where,
θ = 240°
r = 14 cm
π = 3.14
Plug in the values:
Length of arc = 240/360 × 2 × 3.14 × 14
= 58.6133334 = 58.6 cm (nearest tenth)
✔️Length of arc = θ/360 × 2πr
Where,
θ = 105°
r = 11 m
π = 3.14
Plug in the values:
Length of arc = 105/360 × 2 × 3.14 × 11
= 20.1483334 = 20.1 m (nearest tenth)
Eighty, decreased by three times an number, is the same as five times the number, increased by eight. Then the number is 9
<h3><u>
Solution:</u></h3>
Given that eighty, decreased by three times an number, is the same as five times the number, increased by eight
<em><u>To find: the number</u></em>
Let the required number be "a"
Let us break the given sentence
<em>Eighty decreased by three times an number = five times the number increased by eight</em>
Here "times" represents multiplication and "decreased" represents subtraction and "increased represents "addition"
80 - three times "a" = 5 times "a" + 8
80 - 3a = 5a + 8
80 - 8 = 5a + 3a
8a = 72
<h3>a = 9</h3>
Thus the required number is 9
Answer:
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Step-by-step explanation:
