What is the volume of a square based pyramid with based side lengths of 6cm, a slant height of 7 cm, and a height of 5cm
Answers
Answer:
60 cm^3
Step-by-step explanation:
The formula for volume of a pyramid is
V = 1/3Bh, where B is the area of the base and h is the regular height (aka the altitude that connects the top of the pyramid and the base so we can simply ignore the slant height in the problem)
Step 1: The base of a square pyramid is a square and the formula for area (A) of a square is A = s^2, where s is the side.
Since we're told that the length of the base side length is 6 cm, we can find the area of the base:
A = 6^2 = 36
Step 2: Now, we can plug in 36 for B and 5 for h in the volume formula to find the volume:
V = 1/3(36)(5)
V = 12 * 5
V = 60 cm^3
Related Questions
F(x) = 3 + 4x G(x) = 6x + 7
I) find fg(x)
Answers
Answer:
See the attached document
On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.
• The sides of the rectangle are either vertical or horizontal.
• The perimeter of the rectangle is 42 units.
• Each of the vertices lies in a different quadrant.
What are the coordinates of the vertices of your rectangle? Explain how you know the perimeter of your rectangle is
42 units
Answers
Answer:
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
Step-by-step explanation:
Required
[tex]Perimeter = 42[/tex]
Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.
First, name the rectangle ABCD.
Such that:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_2,y_2)[/tex]
[tex]C = (x_3,y_3)[/tex]
[tex]D = (x_4,y_4)[/tex]
For the rectangle to be either horizontal or vertical, then:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
We have that:
[tex]Perimeter = 42[/tex]
Replace perimeter with its formula
[tex]2(AB + BC) = 42[/tex]
Divide both sides by 2
[tex]AB + BC = 21[/tex]
This implies that, the distance between adjacent sides (through the edges) must be equal to 21
Having said that: a set of coordinates that satisfy the given conditions are:
[tex]A = (5,3)[/tex] -- First quadrant
[tex]B = (-5,3)[/tex] -- Second quadrant
[tex]C = (-5,-8)[/tex] -- Third quadrant
[tex]D = (5,-8)[/tex] -- Fourth quadrant
The above quadrants satisfy the condition:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
HOW TO KNOW THE PERIMETER IS 42
To do this, we simply calculate the distance between the edges and add them up
Distance is calculated as:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For BC
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
For CD
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For DA
[tex]D = (5,-8)[/tex]
[tex]A = (5,3)[/tex]
[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
So, the perimeter is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 10 + 11 + 10 +11[/tex]
[tex]P = 42[/tex]
See attachment for rectangle
Decide if the following is a true or false statement - explain how you know
1.5 + (-1.5) is equal to zero
Answers
Answer:
yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero
Multiply the following using the vertical multiplication method:
x² + 5x+1
x3x2 - 2x + 4
Answers
hi please help me with this i’ll give brainliest if you give a correct answer
Answers
Answer:
Step-by-step explanation:
a) PR=SU
b) PQ=TU
c) RQ=TS
Answer:
<P = <U
PQ = TU
<T = <U
Step-by-step explanation:
Sides can be shown to be congruent through tic marks. If two lines have the same number of tic marks then they are congruent. PQ and TU both have one, therefore they are congruent.
Angles are shown to be congruent through arcs. If two angles have the same numbers of arcs then they are congruent. <P and <Q both have two and <T and <U both have one. So they are congruent.
Dhanu has a model railway.
(a) He has a train that consists of locomotive and 4 coaches. The mass of the locomotive is 87 g
and the mass of each coach is 52 g.
i) Work out the total mass of the train.
Answers
15. 2002 Dünya Kupası Futbol Turnuvası'na katılacak Türkiye Milli Takımı'na destek olmak için taraftar gruplan asagidak
görsellerdeki gibi 2 farklı atkı modell tasarlıyor.
Kirmizi
Görsel 1
Kim
Beyaz
C*
120 cm
C
Kimizi
Beyaz
Görsel 2
120 cm
Görsel 1'deki atlanın uçlarındaki kırmızı bölgelerin toplam uzunluğu atkının uzunluğunun 'si olarak tasarlanmıştır.
5
Görsel 2'deki atkinin beyaz, diğer kısmı kırmızı renk olarak tasarlanmıştır.
2
Buna göre atkılardaki toplam kirmizi bölgelerin toplam uzunluğu kaç santimetredir?
108
D) 72
C) 60
D) 48
ARGON SERİSİ
Answers
Answer:
d)
Step-by-step explanation:
İnşallah tutar iyi dersler Gold bye
Answer:
cevap 108 tamam sorun harika bir soru
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?
Answers
Answer:
The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.
Step-by-step explanation:
Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.
Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)
On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.
Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)
The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].
The expected revenue of the company on this warranty would be:
[tex]\mathbb{E}(200\, X + 11)[/tex].
Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:
[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].
Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.
Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line
Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2
Answers
Answer:
The third option, y=(-1/3)x-7
Step-by-step explanation:
To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.
If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.
Find the perimeter of the figure.
9 ft
9 ft
9 ft
9 ft
30 ft
perimeter:
ft
Answers
Answer: 66
Step-by-step explanation: 9+9=18 18+9+9= 36+30=66
Roberto brought 413 boxes of carrot muffins for a bake sale. Jose brought 3 34 boxes of apple muffins.
What is the total number of muffin boxes Roberto and Jose brought to the bake sale? Enter your answer in simplest form.
The total number of boxes brought to the bake sale is _______________.
A. 7 13/12
B. 8 5/12
C. 1/12
D. 8 1/2
Answers
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player is an infielder.
Let 0 = the event that a player is an outfielder
Let H = the event that a player is a great hitter.
Let N = the event that a player is not a great hitter.
Write the symbols for the probability that of all the great hitters, a player is an outfielder.
Answers
Answer:
P(H | I)
Step-by-step explanation:
Given that
Some players considered to be great hitters and some would be not great htters
So based on the symbols given in the question
For all the great hitters a player would be an outfielder
For this the symbol is
P(H | I)
The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
Given information:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Lets assume,
I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.It is required to write the probability that of all the great hitters, a player is an outfielder.
It is required that the player should be outfielder and hitter both.
So, the required probability can be written as,
[tex]P(O\cap H)[/tex]
Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
For further details refer the given link:
https://brainly.com/question/795909
Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).
Answers
Answer:
y = -⅓x-⅓
Step-by-step explanation:
WHY DOES NO ONE REPLY TO MY Q"S!!!!!!
In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940.
Answers
Answer:
117 is the smaller value and 231 is the larger value
Step-by-step explanation:
Standard deviation is 57
Middle 50% is average and one standard deviation to each direction
So if the average is 174
174 - 57 is 117
174 + 57 is 231
Point M is located at (7,1).
What is located 5 units from point M?
Choose 1 answer:
(Choice A)
Point A
(Choice B)
Point B
(Choice C)
Point C
(Choice D)
Origin
Answers
I think it is possibly point b
what's the answers to this question? help pls
Answers
Answer:
answer: B
Step-by-step explanation:
brainliest pls
A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.
Complete the double number line diagram to show the amount of flour and vanilla needed for 1, 2, 3, 4, and 5 batches of cookies.
If you use 20 cups of flour, how many teaspoons of vanilla should you use?
If you use 6 teaspoons of vanilla, how many cups of flour should you use?
Explain how you would determine how much flour and vanilla would be needed for 9 batches of this cookie recipe.
Answers
Answer:
8 teaspoons of vanilla
15 cups of flour
Step-by-step explanation:
Since 20 is 4 x 5
And the flour and vanilla has to be proportionate, You also have to multiply 2 tablespoons of vanilla by 4
4 x 2 = 8
Same with the last question
saben cual es la raiz cuadrada de 3025 con metodo de aproximaciones sucesivas
Answers
Answer:
which language is this
Which expression is equivalent to 9+24
Answers
Answer:
which expresión is equivalent to 9+24
The length of a rectangle is 2 inches more than twice its width. Write an equation relating the length / of the rectangle to its width w.
Answers
Answer:
l = 2w + 2 would be the equation
3) The elevator in a large office building is not working so you start climbing the stairs. The first flight
takes you 56 seconds. The second flight takes you 62 seconds. The third flight takes you 68 seconds.
If you climb a total of ten flights, how long will it take you to climb all ten flights combined?
a.
b.
C.
1660 seconds
830 seconds
330 seconds
105 seconds
6 seconds
d.
e.
Answers
Answer:
Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca
Step-by-step explanation:
In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the store was 1075. What was the approximate percent increase in the average number of customers per day from August to September?
255%
73%
70%
59%
Answers
Is the area of a room measured in cm2 or m2
Answers
Answer:
m² would be the best unit if you want to measure a room.
Step-by-step explanation:
The unit cm² is too small and would be less exact.
Which line is the graph of y = -2 x + 2?
Answers
Step-by-step explanation:
Does this graph help?
In need of help thanks
Answers
Step-by-step explanation:
x = 20
y = 25
z = 24
plz mark my answer as brainlist plzzzz vote me also.
hope this will be helpful to you .
Answer:
x = 20
y = 25
z = 24
Step-by-step explanation:
2y + 10 = 60
2y = 50
y = 25
2y + 10 = 3x
but y = 25
=> 50 + 10 = 3x
3x = 60
x = 20
5z + 3x = 180
but x = 20
5z + 60 = 180
5z = 120
z = 24
please give me brainlist if it is helpful for you
Pls help me with this question thanks
Answers
Answer:
7 Hours
Step by Step:
150 pages divided by 25 page per hour is 7 Hours
If we do 150/25 we have 7 which is the answer
In which step did Viet make an error?
Answers
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
17 = x + 9
Whats the answer i need it now pls && thank uu .
Answers
Answer:
x=8
Step-by-step explanation:
subtract 9 from 17 to get x alone on one side. 17-9=x+9-9. That will equal 8=x. Hope this helps
Answer:
hello !
x = 8
transpose nine to isolate x:
17 - 9 = x
8 = x
2,5 1,3. 9,20. 13,30.
Answers
Answer:
13/10 < 25/10 < 92/10 < 133/10
Step-by-step explanation:
13/10 is less than 5/2 is less than 46/5 is less than 133/10
What is 65% of 568 ?
Answers
Answer:
8
Step-by-step explanation:
568÷65=8
Answer:
369.2
Step-by-step explanation:
65% of 568
= 65/100 x 568
=36920/100
=1846/5
=369.2