Answer:
i honestly dont even know myself
Step-by-step explanation:
Answer:
This distance would be <u>14 cm</u> long.
Step-by-step explanation:
2 cm = 35 km
1 cm = 35/2 = 17.5 km
Let's assume: x -> the distance on a map (in cm)
so:
x * 17.5 = 245
x = 245/17.5 = 14 (cm)
<span>If 3 is added to the number: x + 3
b) ...and the sum is tripled..
"The sum" is "x + 3" so: 3(x+3)
c) ...the result is 27 more than the number.
27 more than the number is x + 27
d) Put it all together:
3(x + 3) = x + 27
Solve for x:
1) Distribute the left side of the equation:
3x + 9 = x + 27
2) Subtract x from each side of the equation:
2x + 9 = 27
3) Subtract 9 from each side of the equation:
2x = 18
4) Solve for x:
x = 9
Check:
1) x = 9
2) 3(x + 3) = x + 27
3) 3 ([9] + 3) = [9] + 27
4) 3(12) = 9 + 27
5) 36 = 36
So, therefore The answer is correct</span>
The estimate is 10 times 11 it equals 110
Given:
There is a ratio given as 16:9 of width to height and diagonal is 27 iniches
Required:
We need to find the value of height
Explanation:
By ratio
![\begin{gathered} \frac{w}{h}=\frac{16}{9} \\ \\ h=\frac{9}{16}w \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bw%7D%7Bh%7D%3D%5Cfrac%7B16%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20h%3D%5Cfrac%7B9%7D%7B16%7Dw%20%5Cend%7Bgathered%7D)
where w is width and h is height
by using pythagorean theorem
![\begin{gathered} 27^2=h^2+w^2 \\ 729=\frac{81}{256}w^2+w^2 \\ \\ 186624=81w^2+256w^2 \\ w^2=553.78 \\ w=23.5\text{ in} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027%5E2%3Dh%5E2%2Bw%5E2%20%5C%5C%20729%3D%5Cfrac%7B81%7D%7B256%7Dw%5E2%2Bw%5E2%20%5C%5C%20%20%5C%5C%20186624%3D81w%5E2%2B256w%5E2%20%5C%5C%20w%5E2%3D553.78%20%5C%5C%20w%3D23.5%5Ctext%7B%20in%7D%20%5Cend%7Bgathered%7D)
to find h
![h=\frac{9}{16}*23.5=13.24\text{ in}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B9%7D%7B16%7D%2A23.5%3D13.24%5Ctext%7B%20in%7D)
Final answer:
height is 13.24 inches