What is the formula for the surface area of a triangular pyramid

Answers

Answer 1
[tex]4(b \times h) \div2 [/tex]
Answer 2

Answer:

4(base*height)/2


Related Questions

There is only one granola bar left out of a pan of 10 bars. If will and Rachel decide to split the last granola bar, what fraction of the entire pan of granola bars will each friend receive?

Answers

[tex] \frac{1}{20} [/tex]

The entire pan has a total of 10 granola bars, and there is one tenth of the pan left. Will and Rachel will split the last one tenth in half, so the two fractions that need to be multiplied are: 

[tex] \frac{1}{2} * \frac{1}{10} [/tex]

So, Will will receive [tex] \frac{1}{20} [/tex] of the pan and Rachel will

receive [tex] \frac{1}{20} [/tex] of the pan. 

The quadratic equation y = 2(x – 2)2 + 2 with no real solution is graphed. Which value of k will change the function to one with exactly one solution?

Answers

On the attached diagram red curve is the graph of the quadratic function [tex]y = 2(x - 2)^2 + 2.[/tex] As you can see this graph has no intersections with x-axis, this means that there are no solutions.

If you translate red curve 2 units down, you obtaine the graph (blue curve) of the function [tex]y = 2(x - 2)^2[/tex] and this graph has one common point with x-axis. This means that there will be exactly one solution.

Answer: k=-2 (you add -2 to the function [tex]y = 2(x - 2)^2 + 2[/tex] to obtain the function [tex]y = 2(x - 2)^2[/tex]).

Answer: 0 ZERO

Step-by-step explanation:

The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answers

6x=180
x=112.5 degrees
.2x=22.5 degrees
(.2x)= 45 degrees

Answer:

x + 5x + 2x = 180  

8x = 180  

x = 22.5 degrees ( smallest angle),  Largest Angle = 112.5 degrees and the third angle = 45 degrees

Let's call the smallest angle x.  Then the largest angle is 5x and then the third angle is 2x since it is twice the smallest angle.  We know that the sum of all the angles in a triangle is 180 degrees.

Step-by-step explanation:

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Find a recurrence relation for the number of n-digit ternary sequences in which no 1 appears anywehere to the right of a 2

Answers

Let [tex]A[/tex] denote the set of such sequence of length [tex]n[/tex], and take [tex]a(n)[/tex] to be the size of [tex]A[/tex], i.e. the number of such sequences of length [tex]n[/tex] consisting of digits 0, 1, or 2.

Split up this set of sequences according to whether a given sequence contains a 2 or does not contain a 2. Let's denote these subsets by [tex]B[/tex] and [tex]\hat B[/tex], respectively, and denote their sizes by [tex]b(n)[/tex] and [tex]\hat b(n)[/tex]. Clearly, [tex]a(n)=b(n)+\hat b(n)[/tex].

Since every sequence in [tex]B[/tex] contains a 2, the only new digit we can append to these sequences must be a 0 or a 2. On the other hand, to every sequence in [tex]\hat B[/tex] we can add any of 0, 1, or 2. So,

[tex]a(n+1)=2b(n)+3\hat b(n)[/tex]
[tex]\implies a(n+1)=2a(n)+\hat b(n)[/tex]

[tex]\hat B[/tex] is the set of all sequences not consisting of 2s, which means [tex]\hat b(n)=2^n[/tex]. There are 3 possible such sequences of length 1, so we can recursively define the total number of such sequences by

[tex]\begin{cases}a(1)=3\\a(n+1)=2a(n)+2^n&\text{for }n\ge1\end{cases}[/tex]
Final answer:

To find a recurrence relation for the number of n-digit ternary sequences in which no 1 appears anywhere to the right of a 2, we can consider two cases depending on the last digit being 0 or 2.

Explanation:

To find a recurrence relation for the number of n-digit ternary sequences in which no 1 appears anywhere to the right of a 2, we can break the problem down into two cases: when the last digit is 0 or when the last digit is 2. If the last digit is 0, then the number of n-digit ternary sequences is equal to the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2. If the last digit is 2, then the number of n-digit ternary sequences is equal to the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2, plus the number of (n-1)-digit ternary sequences in which no 1 appears anywhere to the right of a 2.

The average of 25, 29, and x is 29. Find x.

Answers

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33
x = 33

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33

x = 33

the length of a rectangular foam packing block is 9 in the width is 3 and 1/4 in and the height is 2/3 of an inch what is the volume of the foam block

Answers

To find the volume you will multiply the length by the width by the height (V=lwh).

V = 9 x 3 1/4 x 2/3
V = 19 1/2 cubic inches.

To find the volume of any prism, you find the area of the base (length times width in this case) and then multiply it by the height.

The volume of a rectangle is the product of it length, width and height, the volume of the rectangle in this example is 19 1/2 cubic inched

Volume of Rectangle

Given Data

Length of block = 9 inches

Width of block  = 3 1/4 inches = 13/4 inches

Height of block = 2/3 of an inches

We know that the expression for volume of rectangle is given as

Volume = Length * With * Height

Substituting our given data we have

Volume = 9* 13/4 * 2/3

Volume = 9*13*2/1*4*3

Volume = 234/12

Volume = 19 1/2 cubic inches

Learn more about rectangle here:

https://brainly.com/question/25292087

Create a 5th degree polynomial with four terms in standard form

Answers

Asked and answered elsewhere.
https://brainly.com/question/9170304

max has 2/3 lb. of chocolate. He wants to hand out the chocolate in packages to give to his friends he would like to put 1/6 lb. of chocolate. How many packages can Max make? solve with a visual model

Answers

2/3 = 4/6

Divide up the chocolates into 1/6 lb each:

4/6 ÷ 1/6 = 4/6 x 6/1 = 4

He can packed into 4 packages.

1.find the slope between these 2 points:(5,-5) and(3,-5)

2.find the slope between these two points:(2,3)and (4,5)

3.find the slope between the two points (-5,5)and (3,-5)

4.find the slope between these two points (9,9) and (12,15)

Answers

1. 2
2. 2√2
3. 2√14
4. 3√5
I provided the distance formula and and example for you.

Final answer:

To find the slope between two points, use the formula m = (Y2 - Y1) / (X2 - X1) where (X1, Y1) and (X2, Y2) are the coordinates of the two points. The slopes for the given point sets are: 0, 1, -5/4, and 2.

Explanation:

To find the slope between two points, we can use the formula:
m = (Y2 - Y1) / (X2 - X1)
where (X1, Y1) and (X2, Y2) are the coordinates of the two points.

For the first set of points (5, -5) and (3, -5), the slope is:
m = (-5 - (-5)) / (3 - 5) = 0 / -2 = 0

For the second set of points (2, 3) and (4, 5), the slope is:
m = (5 - 3) / (4 - 2) = 2 / 2 = 1

For the third set of points (-5, 5) and (3, -5), the slope is:
m = (-5 - 5) / (3 - (-5)) = -10 / 8 = -5/4

For the fourth set of points (9, 9) and (12, 15), the slope is:
m = (15 - 9) / (12 - 9) = 6 / 3 = 2

Mr. Harrow has eight boys and six girls in his Honors Precalculus class. If he randomly chooses two students, one at a time, what is the probability that they are both girls

Answers

It may be that he chose from a side, so maybe there were more girls than boys on the left side, the side he chose from.

A bakery makes 640 muffins everyday. which equation shows how to find the number of muffins the bakery makes in a week?

Answers

640 * 7 is the answer
Hey there!

Since there are 640 muffins everyday, and there are 7 days in a week, you can use the equation " 640 x 7" to find out how many muffins the bakery makes in a week.

640 x 7 = 4,480
The bakery makes 4,480 muffins in 1 week. <-----

Hope this helps you.
Have a great day!

PLEASE HELP ME!
Find each value. Use a calculator if needed.

ORDER MATTERS!

a) P(12, 5)
= A. 60 B. 248,832 C. 95,040 D. 300

b) P(8, 8)
= A. 64 B. 40,320 C. 30,555 D. 16

Answers

Presumably, [tex]P(n,k)[/tex] refers to the number of ways we can pick [tex]k[/tex] objects from a pool of [tex]n[/tex] objects in a certain order. We have

[tex]P(n,k)=\dfrac{n!}{(n-k)!}[/tex]

so

[tex]P(12,5)=\dfrac{12!}{(12-5)!}=\dfrac{12!}{7!}=95,040[/tex]

[tex]P(8,8)=\dfrac{8!}{(8-8)!}=\dfrac{8!}{0!}=40,320[/tex]

24r3-64r2-21r+56 answer

Answers

[tex]The answer is: (3r-8)(8r^{2}-7) [/tex]

sinθ=1/4, 0<θ<90; cosθ

Answers

Try this option:
1. rule: if θ∈(0;90°), then cosθ>0 and sinθ>0;
2. using the rule and sin²θ+cos²θ=1, ⇒ cosθ=√(1-sin²θ)=√15/4.

answer:
[tex] \frac{ \sqrt{15}}{4}.[/tex]

A patio has an area of 432 square feet the width of the patio is 3/4 its length what is the length

Answers

area = L x W

W = 0.75L

432 = L x 0.75L

432 = 0.75L^2

L^2 = 432/0.75
L^2 = 576

L = sqrt(576) = 24

Length = 24 feet

A rectangle is dilated by a scale factor of 4.

a) The original rectangle is 8 cm by 3 cm. What are the dimensions of the new rectangle?

b) Is the new image a reduction or enlargement? Explain.

HELP PLEASE

Answers

The dimensions of the new rectangle would be 32 cm by 12 cm.  This is an enlargement.

Since the scale factor is 4, we multiply the dimensions of the original rectangle, the preimage, by 4.  8*4 = 32 and 3*4 = 12.

Since the new dimensions are larger than the old dimensions, it is an enlargement.

Simplify: 4w(to the power of 9)+(-2w(to the power of 9)) enter the original expression if it cannot be simplified

Answers

4w⁹ -2w⁹
= (4-2)w⁹ . . . . . distributive property, or "collecting terms"
= 2w⁹

_____
In plain text, a caret (^) is used to identify an exponent. w⁹ = w^9. If the exponent has any arithmetic, you need parentheses around it. w^(8+1)

25 less than 6 time a number is 107. What is the number? How do you do that?

Answers

25 less than 6 times a number becomes,
6x - 25 = 107
    + 25   + 25
6x = 132
6x / 6 = 132 / 6
x = 22
Less than is another way to say minus and is is another way to say equals and times is self-explanatory.

25 less than 6 times a number is 107 then that number will be 22 it can be determined by the formation of the equation.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x

6 times x number

⇒ 6x

25 less than 6x

⇒ 6x - 25

It is equal to 107

So,

6x - 25 = 107

6x = 132

x = 132/6

x = 22

Hence "25 less than 6 times a number is 107 then that number will be 22".

For more about the equation

https://brainly.com/question/10413253

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28 is 12 less than k

Answers

the value of k is 40.

to solve for k when 28 is 12 less than k, we set up an equation and then solve it.

Let's denote k as the unknown number. According to the problem, 28 is 12 less than k, which can be written as:

28 = k - 12

To solve for k, we need to isolate k on one side of the equation.

28 = k -12

28 + 12 = k

40 = k

k = 40

So, the value of k is 40.

The complete question is:

28 is 12 less than k. 28=12-k Solve for k.

If x = 30, what does 55 + x - 27 equal?

Answers

Answer:

  58

Step-by-step explanation:

Put 30 where x is in the expression and do the arithmetic.

  55 + 30 - 27 = 85 - 27 = 58

__

It can be advantageous to use the associative property of addition to evaluate the expression as ...

  55 + (30 -27) = 55 +3 = 58

What is the mean absolute deviation for the set of data below?

2, 8, 10, 16

Answers

Solution: We are given below data:

[tex] 2, 8, 10, 16 [/tex]

Now to find the mean deviation, we use the below formula:

[tex] MD= \frac{\sum|X-\bar{X}|}{N} [/tex]

Where:

[tex] \sum, [/tex]  represents the summation

X, represents the observation.

[tex] \bar{X}, [/tex] represents the mean

N represents the number of observation.

[tex] \bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9 [/tex]

[tex] \sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16 [/tex]

Therefore, the mean deviation is:

[tex] MD= \frac{16}{4} [/tex]

        = 4

Answer:

4 \

Step-by-step explanation:

translation rule to describe the translation of x that is 3 units to the left and 4 units up

Answers

Translation rule: ( x - 3, y + 4 ). 
( x - 3, y + 4 ) is the answer


Find |p|.....................

Answers

P = 15 + 9 = 24
 Answer is 24

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the third side?

Answers

The Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

 a=6   (the lenght of a side of the triangle).
 b=13   (the lenght of a side of the triangle).
 c=x    (the length of the third side).

 Therefore:

 c<a+b
 c<6+13
 c<19

 The lenght of the third side is:

 (13-6)<c<19
 7<c<9

In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:

[tex]7

organizing the information given in the statement we find that:

a=6 b=13   c=x  

Recognition of the Pythagorean theorem we have that will be:

[tex]c

See more about triangles at brainly.com/question/25813512

"What is the value of-3|15-s|+2^3 when s-=3"?

Answers

You probably made a typing error in writing s = -3 and wrote s - = 3 instead.

The given expression is:

[tex]-3|15-s|+ 2^{3} \\ \\ -3|15-s|+8 [/tex]

Substituting the given value of s in the previous equation, we get:

[tex]-3|15-(-3)|+8 \\ \\ =-3|15+3|+8 \\ \\ =-3|18|+8 \\ \\ =-54+8 = -46[/tex]

Thus the value of given expression becomes -46 for s = -3

Some amount of billiard balls were arranged in an equilateral triangle. And 13 balls were extra. When the same set of billiard balls were arranged into triangle in which each side has one more ball than in the first arrangement there were 7 balls shortage. How many balls were at the set?

Please help if you absolutly know the answer!!!!!!!!!!!

Answers

The answer is 203 balls.

203 balls I'm sorry I did research over the night I'm sorry I gave you the wrong answer

Find two numbers, if Their sum is 3/5 and their difference is 7 1/5

Answers

Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3

Answer:

3.9 and -3.3

Step-by-step explanation:

What is the rule for this pattern of numbers?

Answers

multiply by 2 then add 2

A local park rents cabins for people who want to vacation by the forest. The fee for the rental is $27 per night.There is also $55 cleaning and maintenance charge that is added to the total bill.
Define variables for the number of days that a cabin is rented and the cost of the rental. Use the variables to write an equation that represents the cost to the rent the cabin,given the number of days that the cabin is rented.

Please answer as quickly as possible this is URGENT

Answers

x represents the total number of nights rented.  $55 is the constant.

$27x + 55

a bowl of soup holds 7 ounces. If a spoonful holds 1/6 ounce, how many spoonfuls are in 3 bowls of soup? Tell the operation and explain how you got your answer

Answers

there will be 126 spoonful's

hope this helped
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