Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.

8 feet by 4 feet by 3 feet
7 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
3 feet by 5 feet by 7 feet

In a square, all four sides are the same length. Imagine a square that has been cut by a diagonal. We have two triangles, each with the same length hypotenuse (diagonal length) and two equal side lengths. To find the length of each side, we can use the Pythagorean theorem.

I used x in place of a and b, as both side lengths are equal.

x^2 + x^2 = (28 [tex]\sqrt{2}[/tex])^2

2x^2 = 1568

x^2 = 784

x = 28

The length of each side is 28 units.

Hope this helps!! :)

Answer:

Once it is a square, the lengths are the same. Considering that

a square's diagonal is [tex]s\sqrt{2}[/tex], thus, each length measures 28.

You may use the pythagorean theorem:

[tex](28\sqrt{2} )^2=s^2+s^2\\28\sqrt{2} =\sqrt{s^2+s^2} \\28\sqrt{2} =s\sqrt{2} \\[/tex]

Answer:

Answer A: 16/25

Answer B: 2/24

Step-by-step explanation:

There are 16 dark chocolates, so the probability of choosing one is 16/25. the total number of candies is 25, so when one  is eaten, the number changes to 24. There are 2 caramels, so the number is 2/24.

Answer:

20 dogs

Step-by-step explanation:

Answer:

20 Dogs.

Step-by-step explanation:

5:3=x:12

12/3=4

5x4=20

Answer:

19.59 meters

Step-by-step explanation:

26 (sin 90) sin 37  /   (sin 53)  = 19.5924053

Answer:

Andrew has 9 cars

Step-by-step explanation:

Let's start by defining what our unknowns are and how to name them:

For the number of cars Andrew has: let's use the letter A

For the number of cars Luke has: let's use the letter L

Not write the first sentence in mathematical terms:

"Luke has 4 more than triples the number of cars that Andrew has."

L = 3 * A + 4

The second phrase results on a very simple equation since it just states the number of cars that Luke has:

L = 31

Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:

L = 3 * A + 4

31 = 3 * A +4

31 - 4 = 3 * A

27 = 3 * A

A = 27/3

A = 9

Therefore, Andrew has 9 cars.

Answer:

5/6

Step-by-step explanation:

To add fractions the denominator (or lowest number must be the same)

They are not in this case, so we need to make it that way.

3 can be turned into 6 by multiplying by two. BUT REMEMBER, whatever you do to the top, you do to the bottom and vise versa.

[tex]\frac{2}{3} *\frac{2}{2} =\frac{4}{6}[/tex]

[tex]\frac{4}{6} +\frac{1}{6} =\frac{5}{6}[/tex]

Answer:

5/6

Step-by-step explanation:

I hope this is what you need

Answer: [tex]10*10*10*10*10*10[/tex]

Since the exponent is 6 we'll write 10×10 6 times.

[tex]10^6=10*10*10*10*10*10[/tex]

[tex]10^6=1000000[/tex]

[tex]10*10*10*10*10*10=1000000[/tex]

x1,x2(-1, 7/3)

to slove this you need the formula

from equation a=3 b=-4 c=7;

x=(-b±√b²-4ac)/2a

x=(4±√-4²-4×3×7)/2×3

x=(4±√100)/6

x=(4±10)/6

x1=4-10/6 x2=4+10/6

x1=-6/6 x2=14/6

x1=-1 x2=7/3

The sum of roots is 4/3, and the product of roots is -7/3 for the quadratic equation [tex]3x^2[/tex] - 4x - 7 = 0.

To find the sum and product of the roots of the quadratic equation [tex]\(3x^2 - 4x - 7 = 0\)[/tex], we can use Vieta's formulas.

Vieta's formulas state that for a quadratic equation of the form [tex]\(ax^2 + bx + c = 0\),[/tex] the sum of the roots [tex](\(r_1\) and \(r_2\))[/tex] is given by [tex]\(-\frac{b}{a}\),[/tex] and the product of the roots is given by [tex]\(\frac{c}{a}\).[/tex]

In your equation, [tex]\(a = 3\), \(b = -4\), and \(c = -7\).[/tex]

So, the sum of the roots [tex](\(r_1\) and \(r_2\)) is:[/tex]

[tex]\[r_1 + r_2 = -\frac{b}{a} = -\frac{-4}{3} = \frac{4}{3}\][/tex]

And the product of the roots [tex](\(r_1\) and \(r_2\)) is:[/tex]

[tex]\[r_1 \cdot r_2 = \frac{c}{a} = \frac{-7}{3}\][/tex]

So, the sum of the roots is [tex]\(\frac{4}{3}\)[/tex], and the product of the roots is [tex]\(\frac{-7}{3}\).[/tex]

Answer: 38

Step-by-step explanation:

To solve this problem, you are simply going to plug in the values for the numbers into the equation so it would look like this:

7(3)+8(4)-5(6)

Answer:

23

Step-by-step explanation:

7(3)+8(4)-5(6)

21+32-30

53-30

23

Answer:

one third or 1/3

Step-by-step explanation:

Answer: 1/3 of the cake.

Step-by-step explanation: 33 divided by 3 is equal to 11, which makes 11 one third of 33.

Answer:

x=2, y=16

Step-by-step explanation:

x+y=18

y=8x

x+8x=18

x=2

y=16

Answer:

2

Step-by-step explanation:

x + y = 18

y = 8x

x + 8x = 18

9x = 18

x = 18÷9

x = 2

Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

First Answer: C.

C is the answer, because when doing cross product with the proportion you get 18 for both answer meaning they are proportional since they both equal the same amount.

Second Answer: C.

The answer is C, because when you divide 32 and 4 you get 8 seats per row.

Answer:

120

Step-by-step explanation:

its easy 25 might as well be 1/4 so 30+30+30+30=120

Answer:

c

Step-by-step explanation:

because they are opposites

Answer:

Door 2

Step-by-step explanation:

b is the answer

Answer:

B

Step-by-step explanation:

door 2

Answer:

Step-by-step explanation:

hello :

f(x) = -2x²+3

in : [-1, 2]   f'(x) = - 4x

f'(x) = 0  means : -4x=0   so : x=0

f(0) = -2(0)²+3 = 3 (Maximum:) because : a= -2 and a<0

in :  [-1, 0]   f is  crasing

in :  [-1, 2]   f is  decrasing

Answer:

1.-5

2.3

Step-by-step explanation:

just did it

Answer:

∠ b = 132°

Step-by-step explanation:

Since v and w are parallel.

The angle vertically opposite 48° is congruent , thus = 48°

b and 48° are same- side interior angles and supplementary, thus

b = 180° - 48° = 132°

Answer:

No

Step-by-step explanation:

No, the given list does not represent a complete probability model because the sum of the probabilities is not equal to 1.

The sum of probabilities should always equal to 1 in a complete probability model. In this case, the sum of probabilities is 16 + 13 + 112 + 12 = 153, which is not equal to 1. Therefore, it is not a complete probability model.

Final answer:

The provided list does not form a complete probability model because the probabilities do not sum up to 1, and some values exceed 1, which is not possible for probabilities.

Explanation:

The list provided does not represent a complete probability model because the probabilities of all possible outcomes of a probability model must sum up to 1. However, the sum of the probabilities listed (P(red) = 16, P(yellow) = 13, P(blue) = 1/12, and P(green) = 1/2) does not equal 1. The values for P(red) and P(yellow) seem to be mistakes or typos, as probabilities cannot be greater than 1. If these values were supposed to represent fractions and perhaps there are typos, they may need correcting to ensure the probabilities would sum up to 1. An example of a complete probability model can be seen in the jelly bean question mentioned, where the probabilities of selecting each color are fractions that sum up to 1.

Answer: 2.3

Step-by-step explanation:

Once you add all of the numbers of shoes together you get 14 pairs. To find the mean, you have to divide the total number by the number of values which is 6.

Answer:

Step-by-step explanation:

0.........................1.......V2..1.5..V3.....2........................3....................

V2 <2

V2<V3

12>1.5

V3 is about 0.3 greater than V2  (V3 =1,7...and    V2=1,4...)

V? is about  0.5 less than  13  ( it is not complete)

Answer:A, B, D and F

Your welcome

Step-by-step explanation:

I just took it

Answer:

93.76%

Step-by-step explanation:

93.76% should be your new grade

I'm not 100% sure but what I did is that I divided each percent you have by it's worth. So for example, 96% x 20% = 0.192

I did this with all the possible percents and then I made them into whole number. So the 0.192 became 192. Here I divided it by 5. I should've divided by 4 but since the project is a 0% I didn't have to add it, just use it to divide.

So here I had 117.2 then I multiplied it by 80% because that's the total percent all those grades equaled and got 93.76%

Answer:

63

Step-by-step explanation:

5,7,9,11,13

common factor= adding by 2

2n+3

find the 30th term

2×30+3=63

answer= 63

The 30th term of the linear sequence −5, −7, −9, −11, −13, . . . is -63. This is found using the formula for the nth term of a linear sequence, which is expressed as nth term = first term + (n - 1)*common difference.

The 30th term of a linear sequence can be found using the formula: nth term = first term + (n - 1)*common difference. In this sequence, the first term is -5 and the common difference (distance between each term) is -2 (since -7 minus -5 equals -2).

By substituting the appropriate values into the formula, we get: 30th term = -5 + (30 - 1)*(-2) = -5 - 58 = -63. Therefore, the 30th term of the sequence is -63.

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Answer:

a. 6

Step-by-step explanation:

110/12 = 55/z

z = 55 × 12/110

z = 6

Answer:

[tex] y= 56[/tex]

Step-by-step explanation:

[tex] \frac{44 + 47 + y + 58 + 55}{5} = 52[/tex]

[tex] \frac{204 + y}{5} = 52[/tex]

[tex]204 + y = 260[/tex]

[tex]y = 56[/tex]

The value of y is 56.

Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items within that set. Mean is the most commonly used measure of central tendency. It represents the average of the given collection of data.

Given here, the observations are 44,47,y,58,55 and the given mean is 52

then we can construct the equation:

44+47+y+58+55 /5 = 52

 (y + 204) / 5           = 52

             y + 204        =260

                      y          =  56

Hence, The value of y is 56

Learn more about the arithmetic mean here:

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Answer:

53

Step-by-step explanation:

99 can be divisible by 9, 11, 3, and 33. 117 can be divisible by 11 (11x11)

and 117 can be divisible by 1, 3, 9, 13, and 39.

Answer:

SOLUTION: Rewrite the quadratic equation in standard form by completing the square. f(x)=x^2+8x+14 Answer (f(x)= (x, plus or minus ___)^2 plus or minus ____ I have worked this to x, 4 a Algebra -> Quadratic Equations and Parabolas -> SOLUTION: Rewrite the quadratic equation in standard form by completing the square.

Step-by-step explanation:

Answer: x is less then or equal to 2

Step-by-step explanation:

divide -4x and -8 both by -4 to get x is greater then or equal to 2 and flip the sign to less then or equal then because your dividing by a negative number

Answer:

B(5,2)

Step-by-step explanation: