Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
Answer:
250ft
Step-by-step explanation:
45ft + 45ft of fencing for the two short ends. 80ft +80ft for the two long sides
45ft+45ft=90ft
80ft+80ft=160ft
90ft+160ft=250ft
Answer:
bye
Step-by-step explanation:
bye
Answer:
The angle is 52 degree.
Step-by-step explanation:
length of of side, L = 8
Hypotenuse, H = 13
According to the trigonometry,
Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
<em />
Given expression:
In this case:
To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:
Simplifying:
Answer: The remainder is 15.