Answer: -406
Step-by-step explanation:
We have the following expression:
![\frac{e}{4}+2f-34e+2f-3](https://tex.z-dn.net/?f=%5Cfrac%7Be%7D%7B4%7D%2B2f-34e%2B2f-3)
In addition we know:
and
If we substitute this in the expresion, we will have:
![\frac{12}{4}+2(\frac{1}{2})-34(12)+2(\frac{1}{2})-3=-406](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B4%7D%2B2%28%5Cfrac%7B1%7D%7B2%7D%29-34%2812%29%2B2%28%5Cfrac%7B1%7D%7B2%7D%29-3%3D-406)
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Answer:
1241
Step-by-step explanation:
∴
L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260
∴
the required number is 1260 - 19 = 1241
Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
![c^{2} = a^{2} + b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%20%2B%20b%5E%7B2%7D)
![9^{2} = 7^{2} + d^{2}](https://tex.z-dn.net/?f=9%5E%7B2%7D%20%3D%207%5E%7B2%7D%20%2B%20d%5E%7B2%7D)
![d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\](https://tex.z-dn.net/?f=d%5E%7B2%7D%20%3D%209%5E%7B2%7D%20-%207%5E%7B2%7D%20%5C%5Cd%5E%7B2%7D%20%3D%2081%20-%2049%5C%5Cd%5E%7B2%7D%20%3D%2032%5C%5Cd%20%3D%20%5Csqrt%7B32%7D%5C%5C)
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km