A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?

Answer:

Circumference = 2 pi r = 2*3.14 *r = 20

radius r = 20 / 2*314 =  3.185

Area = pi r^2 = 3.14 * 3.185^2 = 32  m^2 to nearest whole number

9514 1404 393

Answer:

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

  h² = 625 -36 = 589

  h = √589 ≈ 24.3

The ladder reaches about 24.3 feet up the tree.

Answer:

PT = 12 units

Step-by-step explanation:

Given that,

PT=3x+3 and TQ=6x-6

T is the midpoint of PQ.

If T is mindpoint of PQ, it means,

PT = TQ

Substitute all the values,

3x+3 = 6x-6

Taking like terms together,

3x-6x = -6-3

-3x = -9

x = 3

So,

PT = 3x+3

= 3(3) + 3

= 9+3

= 12

So, the value of PT is equal to 12 units.

Answer:

b. on edge

Step-by-step explanation: just did the quiz and got it right

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

Answer:

See Below.

Step-by-step explanation:

We want to use the Squeeze Theorem to show that:

[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]

Recall that according to the Squeeze Theorem, if:

[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]

And:

[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]

Then:

[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]

Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:

[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]

We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:

[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]

Let g = -x², h = x², and f = x²sin(2 / x). We can see that:

[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]

And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:

[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]

Answer: French (1789)

Step-by-step explanation:

Answer: 5.5 minutes

Step-by-step explanation:

Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.

Let the number of minutes be represented by m.

Therefore, based in the information, we can form an equation which will be:

7.25 + (1.45 × m) = 15.23

7.25 + 1.45m = 15.23

1.45m = 15.23 - 7.25

1.45m = 7.98

m = 7.98/1.45

m = 5.50

Therefore, Jenna used 5.5 minutes

Answer:

x = -24

Step-by-step explanation:

(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3

2x/6 + 24/3 = x/6 + 14/2 - 3

2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4

x/6 + 8 = 4

x/6 = -4

x = -24

Answer:

gimme a second, I'll comment

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]

The probability now that she will take a red cube is 0.5. So,

[tex]\dfrac{18+x}{40+x}=0.5[/tex]

[tex]18+x=0.5(40+x)[/tex]

[tex]18+x=20+0.5x[/tex]

[tex]x-0.5x=20-18[/tex]

[tex]0.5x=2[/tex]

Divide both sides by 0.5.

[tex]x=\dfrac{2}{0.5}[/tex]

[tex]x=4[/tex]

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

[tex]40+4=44[/tex]

Probability of getting a yellow cube is:

[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]

[tex]P(Yellow)=\dfrac{9}{44}[/tex]

Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].

Answer:

triangle piece of glass that different colors of light travel through

Answer:

b

Step-by-step explanation:

Answer:

took the test, it is B like the other person said!!

Answer:

Step-by-step explanation:

circumference=2πr

=2*3.14*2

=12.56 km

Answer:

the initial value is 1, rate of change 3/5

Step-by-step explanation:

rate of change is the slope, which is not zero and is def not 5/3

it started at 1, so thats the initial value

Answer:

1.3636363636...

can be expressed as

1 + 4/11

I tried out different fractions

1/11 is just 0.09090909...

4/11 is 4 times thar

1 = 11/11

so it's just 15/11

5.152

can be written as

[tex] \frac{5.152}{1} [/tex]

or as

[tex] \frac{5152}{1000} [/tex]

simplified with 8

[tex] \frac{644}{125} [/tex]

Answer:

wait ill work this out for you

Step-by-step explanation:

9514 1404 393

Answer:

  see beow

Step-by-step explanation:

When x=0, y=-5. The y-intercept is (0, -5).

When y=0, x-5=0, so x=5. The x-intercept is (5, 0).

Plot these two points and draw the line through them.

Answer:

$6,237 down payment

Step-by-step explanation:

calculated [tex]18,900[/tex]×[tex]6.6%[/tex]%×[tex]5 = $6,237[/tex]

Answer:

GraphB

Step-by-step explanation:

To obtain the best line of fit, we need the line which minimizes the sum of the squared distances, Therefore, from visual inspection, we can conclude that the best line of fit will be one in which the distance between each individual distance and the line of best fit is minimized, for the first graph, only the upper points are close to the regression line leaving the lower values further away, however, the secubd graph gives a more uniform distance between all the data values and the regression line. Hence, it does a better job at capturing the trend in the data.

Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

Answer:

3486784401/7  

Step-by-step explanation:

Answer:

All of the following solid figures except a square pyramid have two bases.

Answer:

y< -2x + 3

Step-by-step explanation:

Good luck with your questions :)

Answer:

17

Step-by-step explanation:

Answer:

I am pretty sure its 30 students