A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer:
D, E.
Step-by-step explanation:
<u>Simplify</u><u> </u><u>the</u><u> </u><u>expression</u><u> </u><u>inside</u><u> </u><u>the</u><u> </u><u>parentheses</u><u>:</u>
<u>Multiply:</u>
<u>Substitute each value provided for a:</u>
Opt A. 123 < 6(18) = 123 < 108. Incorrect option.
Opt B. 123 < 6(19) = 123 < 114. Incorrect option.
Opt C. 123 < 6(20) = 123 < 120. Incorrect option.
Opt D. 123 < 6(22) = 123 < 132. Correct option.
Opt E. 123 < 6(24) = 123 < 144. Correct option.
Answer:
Hey there!
Angle x would be 62 degrees because angles in a triangle add to 180 degrees.
Let me know if this helps :)
B=41 that would be the answer
Answer:
376.991 cm²
Step-by-step explanation:
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
<h2>Derive Surface Area of A Cylinder</h2>
If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
