Answer:
Total Surface Area: A = 88 square cm
Step-by-step explanation:
Volume V = 48 cubic cm
So this cuboidal box is actually a rectangular prism.
V = L * W* H
L = length, W = breadth, H= height
With L: W : H = 3: 2: 1
L:W = 3: 2
W: H = 2: 1
L/W = 3/2, L = (3/2)*W
W/H = 2/1 , W = 2*H
L = (3/2)*(2H) = 3H
So : V = L * W * H = (3H) * (2H) * H = 6 * H^3
48 = 6 * H^3
48/6 = 8 = H^3
H = cube-root(8) = 2 cm
so ...
W = 2*H = 2*2 = 4 cm
L = (3/2)*W = (3/2)* 4 = 6 cm
Total Surface Area: A = 2*LW + 2*LH + 2*WH
A = 2*(6 * 4) + 2*(6 * 2) + 2*(4 * 2)
A = 2*24 + 2*12 + 2*8
A = 48 + 24 + 16
A = 48 + 40
A = 88 square cm
Let us assume the amount of baskets Joe scored = x baskets.
4 times of x is 4x.
4x+x = 5x.
Therefore, Peter scored = 5x.
Together they scored = 32 baskets.
Sum of Peter score and Joe score = 32.
x+5x = 32.
6x = 32.
Dividing both sides by 6, we get
x = 32/6
= 16/3.
x= 16/3.
<h3>Joe scored = 16/3 baskets.</h3><h3>Peter scored = 5 × 16/3 = 80/3 baskets.</h3>
<span>Trinomial Ax^2 + Bx + C is perfect square if:
A > 0
C > 0
B = ±2√A√C
36b^2 − 24b − 16
C < 0
4a^2 − 10a + 25
2√A√C = 2*2*5 = 20,
B = −10
16x^2 + 24x − 9
not perfect square,
C < 0
4x^2 − 12x + 9
perfect square:
A>0,
C>0,
2√A√C
= 2*2*3
= 12
= -B
= (2x − 3)^2
hope this helps</span>
Answer:
Step-by-step explanation:
Given that a group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below.
Data set is as ollows:
70 79 38 63 44 23 62 61 67 50 61 70 94 87 65
H0: mu = 60 sec
Ha: mu not equals 60 sec
Mean diff = 2.27
Test statistic = 2.27/SE =0.4815
p value =0.6376
Since p>0.05, we accept null hypothesis
i.e. there is statistical evidence to say that students are reasonably good at estimating one minute
Answer:
x=4x+7=
x=5=
Step-by-step explanation:
