A right rectangular prism has a square base and a height of 4 feet. Its volume, V, is 16 cubic feet. What are the lengths of the sides of the base?
A. 2 ft.
B. 4 ft.
C. 8 ft.
D. 16 ft.​

Answer:

option A

Step-by-step explanation:

   [tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]

Therefore, slope of the given line is

                                                    [tex]m_ 1 = \ \frac{2}{3}[/tex]

Find the slope of the new line

The product of slope of  lines perpendicular to each other = - 1

That is ,

            [tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]

Find the equation of the line.

[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]

Answer:

Step-by-step explanation:

1/1044

6/30 x 5/29 x 3/28 x 7/27 = 1/1044

Okay! When you are ready, let me know what you need help with. Just comment this answer!

What is the question here?

Answer:

x=67

Step-by-step explanation:

180-157 = 23

180-90-23 = 67

x = 67

Answer:

Recall ...

Angles on a straight Line Total to 180°

So

The angle at the Tip of the triangle = 180-157

=23°.

Now 23 is a part of the triangle...

Recall also..

Total angles in a triangle also Total to 180°.

Now that's a Right angled Triangle...

There's the 90° Angle present

So Total angle =

90° + x° + 23° =180

x=180° – (23+90)

x=67°.

Answer:

speed = 32km/hr

Step-by-step explanation:

Time

10:15 to 10:30 = 1/4 hr

speed = distance/time

speed = 8 / (1/4)

speed = 32km/hr

Answers:

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

Explanation:

Any exponential function is of the form y = a*b^x

Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5

Set b equal to 1+r and solve for r

1+r = 0.5

r = 0.5-1

r = -0.5

The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.

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

Lastly, plug in x = 3 to find f(3)

f(x) = 475(0.5)^x

f(3) = 475(0.5)^3

f(3) = 59.375

f(3) = 59.4

Answer:

ok for this what we need to do is just do the equation

y=2x+3

with the x inserted

y=2*-2+3

y=-1

y=2*0+3

y=3

y=2*1+3

y=5

y=2*3+3

y=9

this is the answer from left to right

y=-1,y=3,y=5,y=9

Answer:

so this is what I got (i could be wrong)-- H=8 G=21 F=24 E=2

Step-by-step explanation:

3(7+10) = G + 30

21 + 30 = G+30 (mutilpy-3 times 7 and 10)

minus 30 from both sides

21=G

5(3 + H) = 15 + 45

15 + 5H = 15 + 45 (multipy- 5 times 3 and H)

minus 15 from both sides

5H = 45

divde both sides by 5

H=8

For E all you have to do is list out all the multiples that makeup 22 and 30 and you should find that 2 is the answer

Answer:

9

Step-by-step explanation:

a²+b

Substituting values,

=> (-2)^2+5

=> 4 + 5

=> 9

Answer:

9

Step-by-step explanation:

Where we have :- a = -2 & b = 5

plug the values

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Draw a Venn diagram.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \      /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.

The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.

Now we begin to fill it in.

5 people both play and sing, so we place a 5 in the overlap section.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \  5  /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.

12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.

Place the numbers 15 and 7 in the correct places.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Now add all the people already placed.

15 + 5 + 7 = 27

Subtract that number form the total.

36 - 27 = 9

Place the 9 in the correct area.

+------------------------------------------------------------+

|    N                     9                                          |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                   |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Answer: 9

A more normal looking Venn diagram looks like this:

Answer:

14.55 square inches

Step-by-step explanation:

From the figure it is given that,

The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches

The slant height is l = 3.7 inch

Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.

The surface area of the cone is given as :

[tex]$A=\frac{2 \pi r l}{2}$[/tex]

[tex]$A=\frac{(2 \pi r) (l)}{2}$[/tex]

[tex]$A = \frac{(7.87) \times (3.7)}{2}$[/tex]

[tex]$A=\frac{29.119}{2}$[/tex]

A = 14.55 square inches

Amount of paper required = 14.55 square inches

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.

Answer:

35

Step-by-step explanation:

We use trignometry here

Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.

So we use the sin rule

sin90/97 = sin x/56

multiply 56 to the other side

56*sin90/97 = sin x

sin90=1

56/97 = sin x

x= sin^-1 (56/97)

x= 35.3

Round and you get 35

Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

[tex]3x + 3x + 4x + 5x = 360[/tex]

[tex]15x = 360[/tex]

[tex]x = 24[/tex]

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

[tex] \frac{96}{2} = 48[/tex]

Angle 2 is a inscribed angle of Arc AB so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 3 is a inscribed angle of Arc DA.

[tex] \frac{120}{2} = 60[/tex]

Angle 4 is a inscribed angle of Arc BC so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

[tex]32 + x = 90[/tex]

[tex]x = 58[/tex]

Angle 6 is formed by two intersecting chrods

so it measures

[tex] \frac{1}{2} (120+ 72) = 96[/tex]

Answer:

I=70*.03*2.5

I=70*.075

I=$5.25 is the interest.

Step-by-step explanation:

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

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

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm

Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

Answer:

C

Step-by-step explanation:

4x^2 - 3 - (x+1)

Distribute the -

4x^2 - 3 - x -1

=4x^2-x-4

So c

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

Answer:

4.50

Step-by-step explanation:

divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

Answer:

no lo sé perdón buen día puto hgfhkghhhddj

Step-by-step explanation:

ñkwbfñxfhñieqehceqifheihifiwhfifhapuxqbepuxbkeqqpcvieqpfbiqepehcioeqbgeigbwgjwlbfiwqfbeiqbwofhwohqohfoqhglqjgpwkgowjfowjfowfu abbdnznznnsksj

ocvjñxhlkzxhllzhzhlcbvg,igxpgofypyfñjguñcñjgjñfodoyfpugpifojvvvbbbbbbbbbbbbbbbnnputo

Answer:

22 yards

Step-by-step explanation:

P = 5+2+3+4+2+6

P = 22

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.