Answer:
x = 9.6
Step-by-step explanation:
Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)
12 * sin(34)
<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>
12 * 0.6
<em>Now simply multiply 12 by 0.6 to get 7.2.</em>
The unlabeled side is approx. 7.2 units long.
Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.
x = √12² - 7.2²
<em>12 squared is 144; 7.2 squared is 51.84.</em>
x = √144 - 51.84
<em>Subtract 51.84 from 144 to get 92.16.</em>
x = √92.16
<em>The square root of 92.16 is 9.6 (on the spot!).</em>
x equals 9.6.
Answer:
630m³
Step-by-step explanation:
volume= 7m×9m×10m=630m³
Since 30 and 45 can both be divided by 5, just divided them and is 6:9 and 6 and 9 can be both divided by 3,so the final answer should be 2ml:3ml
5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.
Hope this helped!
Nate
Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
