Answer:
Solution given:
Volume of rectangular prism=length*breadth*height
for
1st one 4in,3in,6in
Volume=4*3*6=<u>72cu.in</u>
For second one 6in,3in,2in
Volume=6*3*2=<u>36cu.in</u>
For third one 4in ,5in,4in
Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>
For forth one 2in,9in,3in
Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>
6x +2y
Solution:
Given expression is (6x + 4y) –2y.
To find the equivalent expression for the given expression.
⇒ (6x + 4y) –2y
⇒ 6x + 4y –2y
Combine like terms together.
⇒ 6x + (4y –2y)
⇒ 6x + 2y
6x +2y is equivalent to (6x + 4y) –2y.
Hence, the expression equivalent to (6x + 4y) –2y is 6x + 2y.
The area of a trapezoid is basically the average width times the altitude, or as a formula:
Area = h ·
b 1 + b 2
2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases.
In the applet above, click on "freeze dimensions". As you drag any vertex, you will see that the trapezoid redraws itself keeping the height and bases constant. Notice how the area does not change in the displayed formula. The area depends only on the height and base lengths, so as you can see, there are many trapezoids with a given set of dimensions which all have the same area.
Answer:
12.5%
Step-by-step explanation:
105 over 120 is the fraction that he got so you subtract 105 from 120 to get how much he missed. 120-105=15
He miscalculated by 15 cm out of the total of 120, 15/ 120
15/120=5/40=2.5/20 multiply the top and bottom by 5 to get the percentage out of 100. 2.5 times 5 =12.5, so he miscalculated by 12.5%
