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4 years ago

Find the volume of the solid shown or described. If necessary, round to the nearest tenth.

Mathematics

1 answer:

dybincka [34]4 years ago

4 0

Find the area of the triangle and the multiply by the depth of the solid.

Area = 1/2 x base x height

Area = 1/2 x 3 x 5

Area = 7.5 sq. ft.

Volume = 7.5 x 4 = 30 cubic ft.

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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

Write in exponential form ахахахахаха

AURORKA [14]

Answer:

the exponential form of this is a to the power 6

I.e a⁶

mark me as brainliest

3 0

3 years ago

Does anyone know this?! the answers are a- 0.12 b- 0.32 c-0.20 d.0.08

Tanya [424]

Answer:

Step-by-step explanation:

5 0

3 years ago

Tracy is filling the box with unit cubes that are 1 inch on each side. She will fill the box with cubes without any gaps or over

balu736 [363]

Answer:

$Volume = 48in^3$

Step-by-step explanation:

Given

See attachment for box

Required

The volume of the box

The number of boxes in each direction represents the length of that dimension.

So, from the attachment

$Width = 4in$

$Length = 3in$

$Height = 4in$

The volume is:

$Volume = Length * Width * Height$

$Volume = 4in * 3in * 4in$

$Volume = 48in^3$

5 0

3 years ago

Anyone know the answer?

WITCHER [35]

$(f-g)(x) = f(x) - g(x) = (3x-5) - (x+3) = 2x -8$

Choice D

5 0

4 years ago