Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x

Lets do

[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]

[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]

Simplified ratio is

[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

The volume of the solid as shown in the task content is; 2786.2cm³.

It can be obtained from the task content that the solid given is a Cone.

On this note, the volume of the cone can be evaluated by means of the formula;

V = (1/3)π r²h where(r =22/2 = 11 and h=22).

Hence, Volume, V = (1/3) ×3.14× (11)²×22 = 2786.2cm³.

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Answer:

the answer is B.

Step-by-step explanation:

it is not A is because if the radius is 6 then the volume will be 904.32

the answer is B.

because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B

Answer:

0.62kg

Step-by-step explanation:

Let

x = 40/kg coffee

y = 11/kg coffee

two equations can be derived from the question

x + y = 12 equation 1

40x + 11y = 114 (9.5 x 12)  equation 2

multiply equation 1 by 11

11x + 11y = 132 equation 3

subtract eqn 3 from eqn 2

29x = 18

divide both sides of the equation by 29

x = 0.62kg

Answer:

1.08915145

Step-by-step explanation:

First of all do 39 x 52, which equals 2028. Then to do the second part of the equation we move the two bottom numbers place value up by one giving us 38 x 49 which is 1862. And then we put 2028 divided by 1862 into our calculators and get the answer as 1.08915145.

Answer:

180+120-250=50

........

Question 10

Draw a 30-60-90 triangle template. Refer to the diagram below.

We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.

Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.

That allows tan(theta) = sqrt(3)/1 = opposite/adjacent

In other words, tan(60) = sqrt(3)/1

So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240

So tan(60) = tan(240) = sqrt(3)

======================================================

Question 11a

sin(theta) = -0.8

theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)

theta = -53.1301  or theta = 180 - (-53.1301)

theta = -53.1301  or theta = 233.1301

Add 360 to the first angle to find a coterminal angle counterpart.

-53.1301 + 360 = 306.8699

So the two approximate solutions are

theta = 306.8699  or theta = 233.1301

and those round to 306.9 and 233.1 respectively.

======================================================

Question 11b

cot(theta) = 1.8

tan(theta) = 1/(1.8)

theta = arctan( 1/(1.8) )  or theta = 180+arctan( 1/(1.8) )

theta =  29.0546 or theta = 180+29.0546

theta = 29.0546 or theta = 209.0546

theta = 29.1 or theta = 209.1

Answer:

2 1/4 hrs

Step-by-step explanation:

2 1/4 th of an hour passes between 2:24pm and 4:40pm

Between 2:24pm and 4:40pm 2.26 part of hours has been passed.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, What part of an hour passes between 2:24 pm and 4:40 pm.

Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.

16 minutes is 16/60 = 4/15 or 0.26 hours.

So, in total (2 + 0.26) = 2.26 part of an hour have been passed.

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Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]

Rectangle)

[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]

Total)

[tex]153+119=272 cm^2[/tex]

Answer:

14

Step-by-step explanation:

Step-by-step explanation:

x+y=0

x=-y

or, y=-x

3x-2y=10

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

Answer:

can you translate in english,would be better...

answer maybe wrong because of the language but stil....

9x(2+6x+1)

=9x(9x)

81x..

Answer:

A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:

==========================================================

Explanation:

"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".

Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.

The height is 10 inches.

So we have r = 1 and h = 10

V = pi*r^2*h

V = 3*1^2*10

V = 30 cubic inches approximately

Answer:

V = 30

Step-by-step explanation:

1. lets find the radius

r = 1/2 diameter

2/2 = 1

r = 1

2. plug in our info into the equation!!!- using 3 for pi as said in the question

V = (pi) r^2 h

V = (3)*(1)^2*(10)

3. solve

V = 30

Answer:

r = 5

Step-by-step explanation:

Side 1: 7

Side 2: 2 + r

To determine r, we subtract 2 from both sides to get the following:

Side 1: 5

Side 2: r

5 and r are the same, so 5 must equal 5.

Therefore, r = 5.

Answer:

where is the figure without figure how to find out

The order of Rotational symmetry is 2 (option B) for the given figure.

It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.

The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.

If we rotate the picture by 90°or 270°, then it wont match the initial figure.

If we rotate the picture by 180° from initial, it will match the figure.

If we further rotate it by 180°( full 360° completed) , it will again match.

Hence, it matches 2 times in a single rotation.

Therefore it has rotational symmetry of order 2.

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Answer:

Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.

Answer:

TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.

FALSE Elimination will give you an exact answer to a system of equations.

Step-by-step explanation:

Weird, I thought I already answer this xD

ES EL PUNTO A.  RPBHCGNDGE

Answer:

Step-by-step explanation:

Calculate in steps:

Answer:

Step-by-step explanation:

1879 *  5* 20 = 1879 * (5* 20)

                     = 1879 * 100

                      = 187900

Answer:

13

Step-by-step explanation:

We know that a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 =c

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Brainliest, please! (Almost an Ace)

1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)

2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)

3. Set up 4 different pre-FOIL factored expressions.

4. Check and see which one works. It's (2x - 5)(3x + 1)

Answer:

5a+4a=9a

3b-7b=-4b

2ab

=9a-4b+2ab or 2ab+9a-4a

Step-by-step explanation:

Calculate liked terms

Answer:

24s3

Step-by-step explanation:

24s3 is the greatest common factor of 24 S3 12 s4 and 18s.

Answer:

AB=44.98298

Step-by-step explanation:

Since this is  a right triangle, we can use trig functions

cos theta = adj / hyp

cos 12 = 44/AB

AB cos 12 = 44

AB = 44/ cos 12

AB=44.98298