Mateyo is building a rectangular prism with a volume of 1000 cubic units. The height of the prism is 10 units. Mateyo claims that the base of the prism must be a square. Draw a base for th rectangular prism that shows that Mateyo is not correct. Remember to label the units.

Answers

Answer 1

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex]Volume = 1000[/tex]

[tex]Height = 10[/tex]

Required

Drawing that proves Mateyo wrong

First, calculate the base area

[tex]Volume = Base\ Area * Height[/tex]

This gives:

[tex]1000= Base\ Area * 10[/tex]

Divide both sides by 10

[tex]100= Base\ Area[/tex]

Rewrite as:

[tex]Base\ Area = 100[/tex]

The base area is calculated as:

[tex]Base\ Area = Length * Width[/tex]

So, we have:

[tex]Length * Width = 100[/tex]

Mateyo's claim can be interpreted as:

[tex]Length = Width = 10[/tex]

However, there are other possible cases such that:

[tex]Length \ne Width[/tex]

For instance:

[tex]Length = 20[/tex]

[tex]Width = 5[/tex]

See attachment for drawing

Mateyo Is Building A Rectangular Prism With A Volume Of 1000 Cubic Units. The Height Of The Prism Is

Related Questions

Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?

Answers

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

helppppppp pleaseeeeee

Answers

Try width 10, length 7. If this isn’t it I’m sorry

pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.

Answers

Show the thing that you need to solve
Show the problems needed to be solved and I would be more glad than to help you love

PLEASE HELP! ( no random links )

“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?

Answers

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

f(x) = 2x^2 - 5x - 15
g(x) = -2x - 1
find f(g(x)) ... somebody help me :(

Answers

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 2x - 1)

= 2(- 2x - 1)² - 5(- 2x - 1) - 15

= 2(4x² + 4x + 1) + 10x + 5 - 15

= 8x² + 8x + 2 + 10x - 10

= 8x² + 18x - 8

Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/
4 ​pounds of asparagus at $3.80 per pound.

What was her total cost?

Answers

Answer:

$14.43¢

Step-by-step explanation:

We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.

Avocados

[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]

Switch sides

[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]

Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{1.4}=4.2[/tex]

Multiply both sides by 1.4

[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]

Simplify

[tex]x=5.88[/tex]

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]

Switch sides

[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]

Apply rule : [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{2.25}=3.8[/tex]

Multiply both sides by 2.25

[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]

Simplify

[tex]x=8.55[/tex]

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5

Answers

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

Write a system of linear inequalities represented by the graph.​

Answers

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

which of these figures has rotational symmetry

Answers

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

The answer is C to your question

Please tell me the process to change a percent to a decimal

Answers

X% means X/100
To change percent to decimal divide it with 100.
Example 75% = 75/100 = 0.75

when the “a” value is negative in any quadratic what do you know about the graph?

Answers

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Ignacia is comparing prices on pineapple juice. Brand A sells 24 oz. for $2.64. Brand B sells 36 oz. for $3.60. Brand C sells 12 oz. for $1.68. Brand D sells 100 oz. for $10.50. Which brand offers the best price per oz.?

Answers

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

Verify that:
1. (CosX)(CotX) = CscX - SinX

2. (Csc X - CotX)^2 = 1-CosX/1+CosX

These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!

Answers

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?​

Answers

Answer:5.7

Step-by-step explanation:

While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?

Answers

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

00 22 05

HR MIN SEC

SmartScore out of 100

44

Need a break?

what is 48x + 56 factored

Answers

Answer:

8(6x + 7)

Step-by-step explanation:

Find a factor for both of the numbers (8)

Place the remaining numbers in a bracket (6x +7)

Place the 8 outside the bracket

8 (6x + 7)

Have a good day :)

Answer:

All you have to do is factor like this. It is also know as common factoring.

48x+54

8(6x+7)  You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be  8(6x+7)

Step-by-step explanation:

Hope this helps!

6 ( 7y - 5) simplified

Answers

Answer:

42y-30

Step-by-step explanation:

here you go

Which radio costs 150% as much as Radio D?

Answers

Im just geussing but i think its b

PLEASE HELP ASAP NOO LINKS!!!

Answers

Answer:

b

Step-by-step explanation:

4.


Which graph represents the following system of equations?

y = 3x + 3
y = –x – 3


A. Graph c


B. Graph b


C. Graph d


D. Graph a

Answers

Answer:  Graph D (bottom right corner)

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

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

Answers

1 - 6

2 - 8/125

3 - 5

4 - 4/5

2^6 = 6(2/5)^3 = 8/1253 * 3^4 = 3^516/25 = 4/5^2

HELP ME <3
Solve. 6x = -36
a) -42
b) 6
c) -30
d) -6

Answers

Answer:

the correct answer is -6

Answer:

d)-6

Step-by-step explanation:

negative and positive is a negative in multiplication. and 6x6=36

so if you put 6(-6) you get -36

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

opposite pairs of triangles are congruent.

Answer:

Opposite pair of triangles are congruent

Step-by-step explanation:

Because in parallelogram

Opposite sides are congruentOpposite angles are congruent

So.opposite pair of triangles are congruent

the diameter is a circle is 18cm. Find it’s circumference in terms of π.

C= ________cm

Answers

answer should be 56.55

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

PLEASE HELP!!!! I'LL GIVE BRAINLIEST NO LINKS OR YOU'LL BE REPORTED:)))))))))) Describe the distributive property. How is it different from other properties. Can you give an example?

Answers

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

PLS HELP WILL MARK BRAINLEST IF UR CORRECT

Answers

I think it’s a carrot

Answer:

52. (0,-3)

53. Slope= 4

54. Y=4x-3

Plz help down below is the question

Answers

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!

140.23 < 140.203 what is the answer true or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

Can someone tell me what I did wrong?

Answers

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

Find the number exactly halfway between 1/5 and9/10

Answers

I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

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