Find the volume of the prism. cubic cm. 15cm 5cm 3cm

Answer: $38.34

Step-by-step explanation:

Original bill total: $45

35% discount: $15.75

subtotal: $29.25

sales tax: 8% of $29.25: $2.34

bill for meal: $29.25 + $2.34 = $31.59

Tip: 15% of original cost of meal: 15% of $45: $6.75

TOTAL COST: $31.59 + $6.75 = $38.34

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

Answer:

how to solve 2x+2y=2 , -4x+4y=12

this is  solving equations using substitution .... i have ALOT more but i juss dnt get this stuff

2x + 2y = 2      -4x + 4y = 12

x + y = 1

x = 1 - y

-4x + 4y = 12

-4(1 - y) + 4y = 12

(-4 + 4y) + 4y = 12

-4 + 8y = 12

8y = 16

y = 2

2x + 2y = 2

2x + 2(2) = 2

2x + 4 = 2

2x = -2

x = -1

Check.

-4x + 4y = 12

-4(-1) + 4(2) = 12

4 + 8 = 12

Answer: x = -1 and y = 2

Step-by-step explanation:

Answer:

7/5 is the constant variation.

Hope this helps! Have a great day!

Answer:

1242

Step-by-step explanation:

Answer:

first:

a)

second:

b)

Step-by-step explanation:

the bottom square: -6,-5

the top square: -2,1

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer: y=2x-3

Step-by-step explanation:

Answer:

A closed box is to be made in the shape of a cuboid of height h (in cm) with a rectangular base that has sides of length x (in cm) and 2x (in cm). Its volume is required to be `1000 cm^3

The height of the shipping box is 15 inches.

The volume of a rectangular prism: length x width x height. The volume is expressed in cubic units.

given:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

Now, Volume = Base Area * Height

Height = Volume/Base Area

Height = 9000/(20 * 30)

Height = 15 in

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches.

Learn more about volume here:

brainly.com/question/1972490

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Answer:

$900

Step-by-step explanation:

Given that:

Principal, p = 5000

Interest, r = 6%

Period, t = 3 years

Using the relation :

Simple interest = Principal * Rate * Time

Simple interest = $5000 * 0.06 * 3

Simple interest = $900

Hence, amount of interest earned = $900

Answer:

Yes

Step-by-step explanation:

The line has to be loner to connect the other two.

Answer:

68

Step-by-step explanation:

Answer:

The answer is 46...i cant find that answer in the choices though

Step-by-step explanation:

In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this

43 + 2 + 1

Which equals 46

hope this helps. have a good day

Answer:

i don't know  just ask the internet

Answer:

0.75

Step-by-step explanation:

original answer: 0.74511316047

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

The hypotenuse x of the right triangle is (c) 10

From the question, we have the following parameters that can be used in our computation:

The right triangle

Where, we have

Leg a = 5√2

Leg b = 5√2

The hypotenuse of the right triangle can be calculated using the following Pythagoras theorem

h² = a² + b²

Using the above as a guide, we have the following:

x² = (5√2)² + (5√2)²

Evaluate

x² = 100

Take the square roots

x = 10

Hence, the hypotenuse of the right triangle is (c) 10

Read more about right triangle at

brainly.com/question/2437195

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Answer:

x = 5

Step-by-step explanation:

4x + 2 = 2(x + 6)

4x + 2 = 2x + 12 (after you distribute the 2)

add and subtract like terms

4x - 2x = 12 - 2

2x = 10

x = 5

you can double check by substituting the x with 5 in the equation

4 (5) + 2 = 2(5 + 6)

20 + 2 = 2(11)

22 = 22

Answer:

answer 1. 12. 2nd is 2. and 3rd is 14pq

hope it helps

Answer:

2.2. Hope it helps :D

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

Answer:

A Strawberries generally cost less.

D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.

Step-by-step explanation:

A and D

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Answer:

the mcps i think

Step-by-step explanation:

Im not sure :/

Answer:

37.3 m

Step-by-step explanation:

Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:

Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]

Tan 15 = [tex]\frac{10}{x}[/tex]

0.2680 = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{0.2680}[/tex]

  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.