21/24
Divide 21 by 3. You get 7.
Divide 24 by 3. You get 8.
7/8 is your answer
Answer:
Area - 6 unit^2 Perimeter - 10 units
Step-by-step explanation:
The shaded figure is 3 units long and 2 units high.
L = 3 W = 2
A = LW
A = 3 x 2 = 6 unit^2
Perimeter = 2L + 2W
P = 2(3) + 2(2)
P = 6 + 4 = 10 units
If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
Answer:
x=135°
Step-by-step explanation:
45°- 180°=135x

- Given - <u>two </u><u>points </u><u>P </u><u>(</u><u> </u><u>5</u><u> </u><u>,</u><u> </u><u>1</u><u>0</u><u> </u><u>)</u><u> </u><u>and </u><u>R </u><u>(</u><u> </u><u>1</u><u>2</u><u> </u><u>,</u><u> </u><u>1</u><u>4</u><u> </u><u>)</u><u> </u><u>on </u><u>the </u><u>c</u><u>artesian </u><u>plane</u>
- To find - <u>distance </u><u>between </u><u>the </u><u>two </u><u>points</u>
<u>Using </u><u>the </u><u>distance </u><u>formula</u> ~

we have ,

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>,</u><u> </u><u>we </u><u>get</u>

hope helpful :)