Greetings from MrBillDoesMath!
The answer is:
669/221
Discussion:
The ratio of 669 to 221 equals 669/221. Observing the factors, 669 is 3 * 223 and 221 is 13 * 17. As all these factors are distinct primes, nothing cancels in their ratio. Thus, 669/221 remains in its simplest form.
Let h units denote the hypotenuse of the smaller triangle. From the Pythagorean Theorem, we derive specific relationships involving the smaller triangle with dimensions
along with the shorter leg of the second triangle denoted as s units. Furthermore, we apply the double angle property and substitute values to arrive at the final calculation.
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2
Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in
Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
The <span>root<span> of a numeral x represents another number that, when multiplied by itself for a specific amount of times, results in x. For instance, the square <span>root<span> of 9 is 3, given that 3 x 3 equals 9. The square <span>root<span> is the term commonly used for the second <span>root<span>. Meanwhile, the term for the third <span>root<span> is known as the cube <span>root<span>. Refer to <span>Root<span> (of a number). because then/</span>
</span></span></span></span></span></span></span></span></span></span></span></span></span>
The options you provided are unclear to me, so I will respond in general terms: to determine if a point (ordered pair) lies on a line, you need to substitute the x-value from that pair into the line's equation and check if the resulting y-value matches the y-value of the ordered pair. For example, if your line is y = 4/3x + 1/3, we can check if (0, 0) and (2, 3) fit this line. We find that y = 4/3·0 + 1/3 gives us 1/3, which does not equal 0, indicating (0, 0) is not on the line. For (2, 3), substituting yields y = 4/3·2 + 1/3 = 3, meaning (2, 3) is on the line.
