3x<br><img src="https://tex.z-dn.net/?f=3x%20%2B%202y%20%3D%201%20and%202x%20-%203y%20" id="TexFormula1" title="3x + 2y = 1 and

Estimate the sum by rounding to the nearest whole number 18.74+41.49

satela [25.4K]

Hello!

I'll start w/ 18.74 to round. To round 18.74, the 4 wouldn't have any effect raising the 7's value, since anything 4 and below won't increase the number's value. Now you just have 18.7. The 7 will increase the 8's value to a 9, since anything 5 and up will increase the rounded number's value. So 18.74 is now rounded up to 19.

For 41.49, you'll round the 4 to a 5, since 9 will increase the value of the 4. Now you have 41.5. The newly rounded 5 will then increase the 1's value, making it a 2. So now 41.49 is now rounded up to 42.

You can now estimate the sum by adding 19 w/ 42 to get an estimate of 61!

I hope this helps!!!

6 0

3 years ago

Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .