You have discovered another alien.
2 answers:
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Answer:
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B =
∴ sin∠B =
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) =
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x =
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Hey there :)
Let us translate each one separately
{ Using w for unknown }
The difference of a number divided by 3 and 5 is 2
'is' is the key-word, meaning you apply the = sign
Difference is subtraction
→ a number divided by 3 - 5 = 2
This is your equation:
→
Solving for w
Take 5 to the other side
[ When you see subtraction you do addition on the opposite side ]
→
Take 3 to the other side
[ When you see division you do multiplication on the opposite side ]
w = 3 x 7
w = 21
Let us translate each one separately
{ Using w for unknown }
The difference of a number divided by 3 and 5 is 2
'is' is the key-word, meaning you apply the = sign
Difference is subtraction
→ a number divided by 3 - 5 = 2
This is your equation:
→
Solving for w
Take 5 to the other side
[ When you see subtraction you do addition on the opposite side ]
→
Take 3 to the other side
[ When you see division you do multiplication on the opposite side ]
w = 3 x 7
w = 21