A triangular prism and a triangular pyramid with identical bases and heights are related by the fact that the prism's volume is three times that of the pyramid.
When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism. In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. This fact enables us to see a correlation between the volumes of a prism and a pyramid when their bases and heights are equal. That is, a prism with an identical height and base has a volume that is 1/3 that of a pyramid.
Volume of a prism = (area of base) * height Volume of a pyramid = 1/3 (area of the base) * heightTo know more about volume of 3d object click on link below:
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85 EN PHYSIQUE Fonctionnement de l'ail
Le fonctionnement optique de l'oeil peut être modélisé
de façon simplifiée par une lentille simple convergente,
le cristallin. Les images des objets se forment sur la rétine,
modélisée sur le schéma par la droite (A'B').
La distance entre le cristallin et la rétine est fixe et dans la
suite, on prendra OA' = 20 mm.
Le point B', sommet de l'image formée, est construit
comme l'intersection:
- du rayon lumineux non dévié, qui passe par le sommet
B de l'objet et le centre optique o de la lentille (rayon en
rouge sur le schéma).
- du rayon lumineux parallèle à l'axe et issu du sommet B
de l'objet qui change de trajectoire après avoir traversé
la lentille et passe par le foyer F (rayon en vert sur le
schéma).
Lentille mince
convergente
lumière
B
Objet
Foyer F.
A
A
Axe principal
Image
B'
+
OF
On suppose dans la suite que OA> OF comme ci-dessus
pour avoir une image réelle.
OA'
1. Démontrer que
A'B'
A'B' A'F
puis que
ОА AB
AB OF
A'F OA'
1
En déduire que
puis que
OF
ОА
OA OA'
2. a. On suppose que OA = 25 m. Calculer OF.
b. Si OA> 25, que peut-on en déduire sur
1
ОА
Et sur
OF
puis sur OF?
C. Pourquoi dit-on en physique que « lorsque l'oeil
regarde un objet à l'infini, le foyer Fest situé sur la
rétine >>?
?
Chapitre 3. Puissances. Fonction cube et fonction inverse
Answer:
English
Step-by-step explanation:
PLZ HELP THIS IS TIMED
Answer:
150
Step-by-step explanation:
116
Step-by-step explanation:
area of triangle is b times h divide by 2then for square is b times h
twice a certain number x is less than 8. Find the range of values of the number
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
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if bc is the diameter of the circle below, what is the area of the circle
Answer:
option a.
radius of the circle=3 units.
area of the circle= pi×r²
area of circle=pi×3²
area of circle=pi×9units²
Answer:
It's A. 9π square units.
Step-by-step explanation:
You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.
A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)
Answer:
The ball will take approximately 2.165 seconds.
Step-by-step explanation:
The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:
[tex]-16\cdot t^{2}+75 = 0[/tex] (1)
[tex]16\cdot t^{2} = 75[/tex]
[tex]t = \sqrt{\frac{75}{16} }[/tex]
[tex]t \approx 2.165\,s[/tex]
The ball will take approximately 2.165 seconds.
Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.
Answer:
384 square inches
Step-by-step explanation:
The side is 10×5=50
There are 4 sides of equal surface area so we are at 200
The floor is 8×10=80 so we are at 280
The front is 8×5=40 and the back is the same so add another 40 so we are at 360
Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches
If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
12
Step-by-step explanation:
Answer:
If you are on delta math its 28.6
Step-by-step explanation:
Write an equivalent ratio for 1:2
Answer:
2:4
Step-by-step explanation:
Answer:
3:6
4:8
5:10
6:12
7:14
8:16
etc...
trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
Michael took a graduate course at Caldwell college that cost $1,875. He had to take a student loan at a rate of 5 1/2% out to pay for it. If he plans on paying the loan off in 2 years, how much will he pay in total for the class?
Answer:
interest paid = $206.25
course = $1,875.00
total = $2,081.25
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1875(.055)(2)
I = 206.25
Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31
I’ll give Brainly est help
Answer:
B. 25
Step-by-step explanation:
y = -5
2x – 4y = 18
PLEASE HELP NO LINKS
LINKS=REPORT
Answer:
x= -1
Step-by-step explanation:
since y is -5 then we would put that in the second equation:
2x - 4(-5) = 18
then it’s:
2x + 20 = 18
Then we subtract 20 from both sides
2x = -2
Last we divide both by 2 and we get x = -1
Answer:
x= -1
Step-by-step explanation:
2x + 20 =18
2x = 18 - 20
x = -1
Please help me with this one
Answer:
Step-by-step explanation:
B two pairs of sides have the same slope.
I've done this before.
On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
148
Step-by-step explanation:
148 x 3 = 444
444 + 148 = 592
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148 hamburgers were sold on Monday.
Let x be the number of hamburgers sold.
Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.
The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:
x + 3x = 592
Combine like terms:
4x = 592
Now, solve for x by dividing both sides by 4:
x = 592 / 4
x = 148
Therefore, 148 hamburgers were sold on Monday.
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Can any of you guys help
Answer:
5
Step-by-step explanation:
Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)
To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)
So √13² - 12² = 5
As a goalie , Brooke is practicing blocking goals . Out of 750 shots , she blocks 600 of them . What is the experimental probability that she will block the next shot?
Answer:
80%
Step-by-step explanation:
Divide 600 by 750 to find the probability
HELPP MEE PLSSSS RNNNN NO LINKS OR I WILL REPORT YOU!!
In the slope-intercept equation for a line, the coefficient of the
-term gives the slope
Answer:
x
Step-by-step explanation:
The formula of a line in its slope-intercept form is
y= mx + b
the slope is indicated by “m” that multiply the x
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Answer:
C) Impossible
Step-by-step explanation:
Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.
someone pls help im struggling if you do tysm ! <333 :)
Answer:
everything except -1 will be the answer
Step-by-step explanation:
4n + 13 < 9
n < -1
if n is -1, the answer would be 9(INCORRECT)
if n is -2, the answer would be 5(CORRECT)
if n is -3, the answer would be 1(CORRECT)
if n is -4, the answer would be -3(CORRECT)
Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
rate of speed. Which equation would accurately give the total number of miles, M, for
any given number of hours, h?
Answer:
M = 75h
Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.
In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. Find the probability of selecting an SRS of 14,500 students in which less than 15% had ridden with a driver who had been drinking alcohol within the previous month.
PLZZ HELP!! ASAP
Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?
options
a) 954
b) 682
c) 488
d) 890
as for my ans is C...
can you correct me if im wrongX
In the data set below, what is the mode? 9, 4, 9, 2, 8, 2, 1
Answer:
9 and 2
Step-by-step explanation:
both come out 2 times
In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?
Answer:
1995
Step-by-step explanation:
Percent of students that get more than 8 hours of sleep = 100 -43 = 57%
Number of students that get more than 8 hours of sleep = 57% x 3500
0.57 x 3500 = 1995 students
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
≈ 6 hours 10 minutesStep-by-step explanation:
Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hourTogether they can wash in 1 hour:
1/14 + 1/11 = 25/154Time needed to wash all the cars:
154/25 = 6.16 hours ≈ 6 hours 10 minutesf(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2
How do u figure out the rise and run without a graph