10. A triangular pyramid has a volume of 60 cubic centimeters. The
triangular base has a 12-centimeter base and a 5-centimeter height. Find the
height of the pyramid.
Explain

Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.

Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:

p = 7/10 = 0.7 = 70%.

Hence, there is a 70% experimental probability that a shark with red eyes is not picked.

For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

6.7 per unit

Step-by-step explanation:

8(2y+y)

hope it helps!!!

Answer:

BC= 24, DE= 15

Step-by-step explanation:

You can use the Pythagroean theorem which is a^2+b^2=c^2.

So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.

EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.

Answer:

First, add the two mixed numbers together.

[tex]1 + 2 = 3[/tex]

[tex]4/7 + 3/14 = 11/14[/tex]

Combine the equation and number.

 [tex]3 + 11/14 = 3 \frac{11}{14}[/tex]

  [tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7

Therefore, the answer is 1/2

Answer:

x=3

Step-by-step explanation:

The equation is written in the form ax2+bx+c. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by x=−b2a.

−(−6)2(1) = 62=3

Substituted this value of x back into the equation to find the y coordinate.

y=(3)2−6(3)+2

y=9−18+2

y=−7q

So the vertex of the line is at (3,-7)

Answer:

Step-by-step explanation:

Let x and y be the large (x) and small (y) vases the potter makes in one week.

We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase.  The combination of large and small vases made in one week thus requires a total time of:

          6x + 1.5y = total hours/week

We are told that the potter works 30 hours per week, so:

        6x + 1.5y = 30 hours

We also learn that she needs to make at least 6 vases in a week, so:

        x + y => 6

Plot the two equations:

6x + 1.5y = 30, and

x + y => 6

This will produce the attached grap, Vases1.  The inequality appears as the shaded area in the upper area.  Any point in the shaded area satisfies the inequality of x + y => 6.  The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).

The lines intersect at (4.67,1.33).  This represents a fictional combination of 4.67 large and 1.33 small vases.  This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours.  If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0).  (x,y or large,small).  All combinations result in 6 vases, but eould require less than the 30 hours of time available.  Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4).  This area is shown in Vases2.  The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.

Answer:

$92.74 = 0.06m + $10

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Step-by-step explanation:

m represents the number of minutes, which we have been told are charged at $0.06 per minute.

$10 is the constant because he is charged this every month.

Set up the equation with these numbers:

92.74 = 0.06m + 10

Now solve the equation

Subtract 10 from both sides to get m by itself:

92.74 - 10 = 0.06m + 10 - 10

82.74 = 0.06m

Divide each side by 0.06 to get m as a whole number

92.74/0.06 = 1545.67

0.06m/0.06 = m

Therefore

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Answer:

C. (x - 1) (x^2 + x +1 )

Step-by-step explanation:

    x^2       +x       +1  

x   x^3     x^2     x

-1  -x^2       -x       -1

If you multiply it out it equals the answer

Answer:

$32

Step-by-step explanation:

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Answer:

-15

Step-by-step explanation:

-15

Hope it helps.

Do comment if you have any query.

Answer:

5 units

Step-by-step explanation:

Let's assume point (5,1) to be C

according to the picture we know AC= 3 and BC=4

Applying pythagorean theorem: a^2+b^2=c^2

(AC)^2+(BC)^2=(AB)^2

3^2+4^2=(AB)^2

9+16= (AB)^2

AB^2=25

AB=5

Answer:

C

Step-by-step explanation:

Answer:

48 by 10 because

[tex]480\div 10 = 48[/tex]

therefore the wall dimensions are 48 by 10

The expression a/b * c/d is an illustration of number types

The expression is given as:

a/b * c/d

Next, we test the given numbers

(a) 8.96

Express 8.96 as a fraction

8.96 = 896/100

Express the numerator and the denominator as products

8.96 = (224 * 4)/(50* 2)

Split the fraction

8.96 = 224/50 * 4/2

The above equation shows that 8.96 can be written in the form a/b * c/d.

Hence, the truth value of 8.96 is yes

(b) 5√6

Express 5√6 as a product expression

5√6 = 5 * √6

Evaluate the product

5√6 = 12.2474.....

The result of 5√6 is a non-terminating decimal

Hence, the truth value of 5√6 is no

(c) 15

Express 15 as a fraction

15 = 90/6

Express the numerator and the denominator as products

15 = (9 * 10)/(3 * 2)

Split the fraction

15 = 9/3 * 10/2

The above equation shows that 15 can be written in the form a/b * c/d.

Hence, the truth value of 15 is yes

(d) π/4

Express π as 22/7

π/4 = 22/7/4

Rewrite the expression as products

π/4 = 22/7 * 1/4

The above equation shows that π/4 can be written in the form a/b * c/d.

Hence, the truth value of π/4 is yes

Read more about numbers at:

https://brainly.com/question/24670740

Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.

The profit is given by the subtraction of the revenue by the total costs.

In this problem:

6 - 2 = 4, hence she makes a profit of $4.

More can be learned about the profit concept at https://brainly.com/question/4001746

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

ps: This is a quadratic function of equation

[tex]f(x) = - x {}^{2} + 4[/tex]

Explanation:

22 = 2*11

18 = 2*9

We see that 2 is the GCF of 22 and 18. It's the largest shared factor.

Now use the distributive property to say the following

22 + 18

2*11 + 2*9

2(11+9)

To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.

Answer:

x -2    y + 2

Step-by-step explanation:

4/52 = 1/13

hope it helps...!!!

Answer:

390

[tex]\frac{26x30}{2} =390[/tex]

Hope This Helps! :)

Answer:

17,900 mg

Step-by-step explanation:

I took the k12 test today

Answer:

there are 5

Step-by-step explanation:

Answer:

[C] [tex]\frac{\pi }{2}\;radians[/tex]

Step-by-step explanation:

The ray in the terminal position, after the rotation is call the "terminal side of the angle."

Note that quadrant of the unit circle of any given angle the radians would be in:

Quad I → 0 < θ < pi/2

Quad II → pi/2 < θ < pi

Quad III → pi < θ < 3pi/2

Quad IV → 3pi/2 < θ < 2pi

Hence, Answer is [C]  pi/2 radians

~lenvy~

Answer:

1. the, from, although, won't he, ourselves

2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.

3. was, worked

Step-by-step explanation:

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the unit rate (r) ~

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]

Take two points

Slope:-