The answer to this problem is 5x-4
The distance of the robot from the charging base is gotten as; 62 cm
<h3>How to use Cosine Rule?</h3>
From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.
The distance of the robot from the charging base is gotten by;
h = x² + b² - 2xb cos 60
h = 50² + 70² - 2*50*70 * 0.5
h = 62 cm
Read more about Cosine Rule at; brainly.com/question/4372174
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Turn it to improper fractions.
4 1/4 divided by 2/7
Divide them.
17/4 divided by 2/7
17 2 17 x 7
--- ÷ --- = --------- = 119/8 OR 14 7/8
4 7 4 x 2
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Distribute to take out the parentheses.
(x + 8) - (-3x - 5)
Combine like terms.
x + 8 + 3x + 5
Answer.
4x + 13
I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
You take 5/16 division you change it in matplication 3 goes up and 2 comes down so you numbers will be
5/16 times 3/2 you take 5 time3 is 15 and 16 times 2 is 32
So ur answer will be 15/32