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zubka84 [21]
3 years ago
10

If the sum of the tast

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

34

Step-by-step explanation:

x + 1, x + 2

2x + 3 = 71

71 - 3 = 68 / 2 = 35, 36

x = 34

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Steve ordered plastic cases for storing his baseball cards. Each case has a length of 12 centimeters, a width of 6.5 centimeters
Minchanka [31]
For this case you should see the box as a rectangular prism.
 The volume of a rectangular prism is given by:
 V = (L) * (W) * (H)
 Where,
 L: length
 W: width
 H: height.
 Substituting the values we have:
 V = (12) * (6.5) * (1.25)
 V = 97.5 cm ^ 3
 Answer:
 the volume, in cubic centimeters, of one baseball card case is:
 V = 97.5 cm ^ 3
3 0
4 years ago
Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.
svetoff [14.1K]

Parameterize this surface (call it S) by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k

with 0\le u\le3 and 0\le v\le2\pi. Take the normal vector to S to be

\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}

3 0
4 years ago
Multiply 4xy^3(3×^2y)^2
Alex
\bf 4xy^3(3x^2y)^2\impliedby \textit{first off, distribute the exponent}
\\\\\\
4xy^3~(3^2x^{2\cdot 2}y^2)\implies 4xy^3~(9x^4y^2)\implies 4\cdot  9xx^4y^2y^3
\\\\\\
36x^{1+4}y^{2+3}\implies 36x^5y^5
5 0
3 years ago
PLEASE HELP!!!!
wel

Answer:

Mike is not right

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of the enlarged rectangular prism

y-----> surface area of the original rectangular prism

z^{2}=\frac{x}{y}

so

In this problem we have

z=2

substitute

2^{2}=\frac{x}{y}

4=\frac{x}{y}

x=4y

so

The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism

therefore

Mike is not right

<em>Verify with an example</em>

we have a rectangular prism

L=5\ m

W=2\ m

H=3\ m

The surface area of the prism is equal to

SA=2(LW)+(2L+2W)H

substitute the values

SA=2*(5*2)+(2*5+2*2)*3=62\ m^{2}

If he doubles each dimension of any rectangular prism

then

the new dimensions will be

L=5*2=10\ m

W=2*2=4\ m

H=3*2=6\ m

The new surface area will be

SA=2*(10*4)+(2*10+2*4)*6=248\ m^{2}

248/62=4

therefore

The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism

8 0
4 years ago
Simplify 6(x + 4) 10x 6x + 4 6x + 24
Maurinko [17]

Answer:

=360x4+1440x3+24x+24

Step-by-step explanation:

6(x+4)(10)xx(6)x+(4)(6)x+24

=360x4+1440x3+(4)(6)x+24

=360x4+1440x3+24x+24

Hope it helps!!

6 0
3 years ago
Read 2 more answers
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