Answer:
b = 30 yd is the answer.
Step-by-step explanation:
a = 40 yd
b = ?
c = 50 yd
According to the Pythagoras theorem,
a² + b² = c²
40² + b² = 50²
1600 + b² = 2500
b² = 2500 - 1600
b² = 900
b = 30 yd
∴ b = 30 yd is the length of the missing leg.
Figure A which has two rays connected at a vertex is an angle in this scenario.
<h3>What is an Angle?</h3>
This is formed when two rays share a common endpoint with there being different types of angles.
The common endpoint shared forms a vertex which is why Figure A was chosen as the most appropriate choice.
Read more about Angle here brainly.com/question/25770607
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Answer:
3x^6 - 4x^5 + 2x^4
Step-by-step explanation:
Given
-5x^4 ( -3x^2 + 4x - 2)
Step 1 : open the bracket with -5x^4
-5x^4 * -3x^2= 15x^6
Hint: - * - = +
x^4 * x ^2 = x^ 4+2 = x^6
-5x^4 * + 4x = - 20x^5
Hint: - * + = -
x^4 * x = x^4 + 1 = x^5
(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)
-5x^4 * -2 = 10x^4
Hint: - *- = +
Let's combine the answers
15x^6 - 20x^5 + 10x^4
We can look for a factor that can go through as in that can divide all without a reminder
Factors of
15 - 3 * 5
1 * 15
20 - 4 *5
2 *10
1 * 20
10 - 2*5
1 * 10
Since the factor of 5 is common in all, so we are using 5 to divide through
15x^6 - 20x^5 + 10x^4
Using 5 to divide through
15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5
= 3x^6 - 4x^5 + 2x^4
A rational number is one that u can turn into a fraction.
Anytime u have a whole number and u want to turn it into a rational number, put it over 1.
7 to a rational number would be 7/1
If 20 feet cost $36 then you can divide 36 by 20 to see how much one foot would cost. The answer is $1.80. Then multiply $1.80 x 15 feet and you get $27