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IgorC [24]
3 years ago
8

Please help me with this

Mathematics
1 answer:
Ronch [10]3 years ago
8 0
Think of it as two rectangular prisms next to each other, and find the volume of each one separately.

The big one on the left has a volume of 4 * 12 * 6, or 288.

The smaller one on the right has a volume of 2 * 6 * 6, or 72.

288 + 72 = 360. 360 cubic feet of water are needed.
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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
Help !!!! what’s the solution
murzikaleks [220]
B=0,4

I solved for b
6 0
3 years ago
Acute angle between the hours hand and the minute hand at 1pm​
Bess [88]

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

7 0
4 years ago
Read 2 more answers
The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 96. Find x.
slava [35]

Answer:

12 units

Step-by-step explanation:

base is x

one of the legs measure 4x-6

therefore, perimeter is equal to

2 (4x - 6) + x = 96

8x - 12 + x = 96

9x = 96 + 12

9x = 108

x = 108/9 = 12 units

5 0
3 years ago
Simplify the expression please
AleksAgata [21]

see the attached picture:


4 0
3 years ago
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