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3 years ago

Please help me on this question

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

A. rectangle, not a square.

Step-by-step explanation:

A right rectangular prism is a shape of a cube which is made up of 6 rectangular edges.

It has 4 vertical edges and 2 horizontal edges

The adjacent edges of the rectangular prism is at right angles

A plane intersects a right rectangular prism parallel to its base that is the parallel edges. The cross section formed by the plane would be the shape of the base as it is parallel to base and will intersect the the 4 vertical edges perpendicularly.

Thus, the shape of the cross section formed by the plane would be best described by a rectangle and not a square because the base is in the shape of a rectangle.

The figure representing the plane is shown below.

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I have got this answered this but instructor give me comments of wrong answers

Sergio039 [100]

Answer:

2 cubic feet

Step-by-step explanation:

Convert all the lengths to feet round them to tenths then multiply them.

The answer you have got should be also correct as you have multiplied all the lengths then converted to cubic feet. Since your instructor has said that this is wrong this seems to be the only option remaining.

1 feet = 12 inches

$12"=\frac{12}{12}=1'$

$14"=\frac{14}{12}=1.16=1.2'$

$20"=\frac{20}{12}=1.66=1.7'$

$1\times 1.2\times 1.7=2.04=2.0\ ft^3$

6 0

4 years ago

A quadratic equation is shown below: 3x2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the

Triss [41]

Answer:

$\text{The roots of }3x^2+5x-8=0\text{ are }x=1,\frac{-8}{3}$

Step-by-step explanation:

$\text{Part A: Given a quadratic equation }3x^2-15x+20=0$

$\text{Comparing above equation with }ax^2+bx+c=0$

a=3, b=-15, c=20

Discriminant can be calculated as

$D=b^2-4ac$

$D=(-15)^2-4(3)(20)=225-240=-15$

The roots are imaginary

The solution is

$x=\frac{-b\pm\sqrt{D}}{2a}$

$x=\frac{-(-15)\pm \sqrt{-15}}{2(3)}=\frac{15\pm\sqrt{15}i}{6}$

The roots are not real i.e these are imaginary

$\text{Part B: Given a quadratic equation }3x^2+5x-8=0$

$\text{Comparing above equation with }ax^2+bx+c=0$

a=3, b=5, c=-8

Discriminant can be calculated as

$D=b^2-4ac$

$D=(5)^2-4(3)(-8)=25+96=121>0$

The roots are real

By quadratic formula method

The solution is

$x=\frac{-b\pm\sqrt{D}}{2a}$

$x=\frac{-5)\pm \sqrt{121}}{2(3)}=\frac{-5\pm 11}{6}$

$x=1,\frac{-8}{3}$

which are required roots.

I choose this method because I can get the solutions directly by substituting the values in formula, and I don't have to guess the possible solutions.

6 0

3 years ago

G(x)= 81-3x? <br> what are the x and y intercepts?

mel-nik [20]

Answer:

x - intercept : (27,0)

y- intercept : (0,81)

Step-by-step explanation:

$g(x)=81-3x$

you can rearrange the right side to make the equation look like y=mx+b

$g(x)=-3x+81$

According to y=mx+b, b is the y-intercept

∴ (0,81) is the y-intercept of the equation

To find the x-intercept, plug in 0 for y and solve for x

$g(0)=-3x+81\\-81 = -3x\\x = 27$

∴ (27,0) is the x-intercept of the equation

3 0

3 years ago

Please help me right away.

statuscvo [17]

So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.

$\frac{x^3+2x-8}{x^2+x}= 3x-\frac{x+8}{x^2+x}$

Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.

3 0

3 years ago

Yesterday Clara reached 4 people in 10 phone calls while Toby reach three people in 8 phone calls if they continue at this rate

SashulF [63]

Answer:

Clara will reach more people in 40 phone calls.

Step-by-step explanation:

If Both of them had 40 phone calls you would divide 40 phone calls to how much they actually had. In this case for Clara it's 40 divided by 10 which is 4, And then you have to multiply 4x4 which is 16. For Toby He had to divide 40 by 8 which is 5, and then multiply 3x5 which is 15. Therefore Clara had reached more phone calls then Toby.

8 0

3 years ago