Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
Answer:
x = 2
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The law of cosines is useful here.
a^2 = 8^2 +11^2 -2·8·11·cos(32.2°) ≈ 36.070003
a ≈ √36.070003 ≈ 6.00583
a ≈ 6
Answer:
- find a suitable cutting tool
- cut the prism on the plane of interest
Step-by-step explanation:
A cross section is the intersection of a cut plane with the object of interest. In a classroom setting, we often try to do the cross sectioning mentally or with diagrams, rather than physically cutting anything. Sometimes, there is no substitute for actually performing the cut to see what the cross section looks like.
For certain samples that don't take kindly to cutting, we sometimes encase them in a block of material that helps them hold their shape during the process. Sometimes the "cutting" is performed by grinding away the portion of the material on one side of the cut plane.
Answer:
3x+5y=105
x+y=25
Step-by-step explanation:
x is the number of 3 mile runs so the total distance travelled is 3x miles. y is the number of 5 mile runs so the total distance travelled is 5y miles. Together Gavin travelled 103 miles so 3x+5y=105.
The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.
So the answer is:
3x+5y=105
x+y=25
Done.
