What is the volume of the pyramid? 2.4 cm3 3.6 cm3 4.8 cm3 7.2 cm3
Answers
Answer:
C 4.8cm^3
Step-by-step explanation:
The volume of the pyramid is 4.8 cm³.
Given that a pyramid with base side length is 2 cm, we need to find the volume of the pyramid,
Volume of a pyramid = 1/3 × base area × height
So,
We have ∠ABC = 45°, in right triangle ΔACB,
Since ∠ABC = 45° therefore, ∠BAC = 45°,
So, AC = BC = 3.6 cm,
So, the volume = 1/3 × 2² × 3.6
= 4 × 1.2
= 4.8
Hence the volume of the pyramid is 4.8 cm³.
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Related Questions
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answers
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?
Answers
Answer:
the maximum height of the ball is 42.25 m
Step-by-step explanation:
Given the height function as;
h(t) = -16t² + 12t + 40
At maximum height, the final velocity of the ball will be zero.
The final velocity is calculated as follows;
[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]
At maximum height, the time of motion of the ball is 0.375 s.
The maximum height is calculated as follows;
h(t) = -16t² + 12t + 40
h(0.375) = -16(0.375)² + 12(0.375) + 40
h(0.375) = -2.25 + 4.5 + 40
h(0.375) = 42.25 m
Therefore, the maximum height of the ball is 42.25 m
please helpppppppp , thank you!
Answers
Answer:
1/2 is likely but I'd rather go with 2
a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination
Answers
Answer:
800 full marks
Step-by-step explanation:
295 + 25 = 320 marks required to pass
320 / 0.40 = 800 full marks
Is that right? I'll post the pic
Answers
Answer:
I believe it is, I skimmed across it looks accurate to me
Step-by-step explanation:
The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
Answers
Answer:
[tex]g(x)=-2\sqrt[3]x[/tex]
or
[tex]g(x) = -2f(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]x[/tex]
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
We can represent g(x) as:
[tex]g(x) = n * f(x)[/tex]
So, we have:
[tex]g(x) = n * \sqrt[3]x[/tex]
For:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex]2 = n * \sqrt[3]{-1}[/tex]
This gives:
[tex]2 = n * -1[/tex]
Solve for n
[tex]n = \frac{2}{-1}[/tex]
[tex]n = -2[/tex]
To confirm this value of n, we make use of:
[tex](x_2,y_2) = (1,-2)[/tex]
So, we have:
[tex]-2 = n * \sqrt[3]1[/tex]
This gives:
[tex]-2 = n * 1[/tex]
Solve for n
[tex]n = \frac{-2}{1}[/tex]
[tex]n = -2[/tex]
Hence:
[tex]g(x) = n * \sqrt[3]x[/tex]
[tex]g(x)=-2\sqrt[3]x[/tex]
or:
[tex]g(x) = -2f(x)[/tex]
Write the equation of a line going through the points: (1, -2) and (-2, 4)
Answers
Answer:
Step-by-step explanation:
y=-2x
One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?
Answers
Experimental Probability = 2/3
To find the experimental probability that the tack lands point-up for student 4, we can use the following equation
[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]
If this helped you a Brainliest would be appreciated!
Answer:
0.75
Step-by-step explanation:
hello please help i’ll give brainliest
Answers
Answer:
Step-by-step explanation:
Both arsenic and lead can be / are poisonous, so "poison" is the best response here.
A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.
Answers
Answer:
Is the triangle a right triangle?
Expand and simplify 3(2x-y)-2(4x-2y)
Answers
A
B
с
D
[1]
Which carboxylic acid has an M. of 46?
A
butanoic acid
B
ethanoic acid
С
methanoic acid
D
propanoic acid
D
B
Guys please helpppp I have an exam
Answers
Answer:
d is the answer young man
Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.
Answers
Answer:
The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]
Step-by-step explanation:
The given two equations are
[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]
Now rearranging the two equation in such a way that variables with similar with same power are grouped together -
[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]
a phone is 35 percent off which is now worth 78 pounds what was the original price
Answers
Answer:
120 pounds
Step-by-step explanation:
65% of y= 78 pounds
[tex]\frac{65}{100}[/tex] × y = 78 pounds
65y = 78 × 100=7800
y= 7800/65= 120 pounds
Please answer need fast
Answers
Answer:
B is the correct ans
please mark brainliest
Giving brainlist to whoever answers
Answers
Answer:
C 2496 in3
Step-by-step explanation:
Answer:
2496 in3
Step-by-step explanation:
Volume = LWH
24*8*13 = 2496
Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2
Answers
Answer:
Multiply 15 by 9, then divide by 2.
Step-by-step explanation:
We need to solve the given expression.
[tex]15\div \dfrac{2}{9}[/tex]
We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]
We have,
a = 15, b = 2 and c = 9
So,
[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]
So, the steps are "Multiply 15 by 9, then divide by 2".
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answers
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.Leo and Maggie volunteer at the local bird sanctuary.
Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s battery charge is only at 20%.
When fully charged, the batteries last 12 hours. Leo thinks the walkie-talkie will last for his entire 3-hour shift
Answers
Answer:2.4
Step-by-step explanation:
12 * 20% = 12 * 0.20 = 2.4 hours
It will not last the entire shift.
8 7/8 divided by 2 1/2 feet
Answers
Answer:
3.55
Step-by-step explanation:
First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.
Find the area of the rectangle on this centimetre grid.
Answers
Answer:
Step-by-step explanation:
I think this question is not clear.
If you could explain/upload the centimeter grid it'd be explain.
But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).
Use the formula, Area of a rectangle = l×b to solve your math problem
20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?
A The amount a babysitter who makes $7.50 per hour earns in h hours
B The cost of purchasing p pounds of oranges for $1.35 per pound
C The number of gallons of water in x barrels with 13 gallons of water in each barrell
D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds
Answers
Answer:
d
Step-by-step explanation:
i think its d
what is the circumference area?
Answers
please help with this. i can even give brainliest!!!!
Answers
Answer: i think 10
Step-by-step explanation:
2 easy questions for 35 points
Answers
Answer:
for question 5
(1) 9x > 3x + 6
6x > 6
x=1
(2) $100-$10=$90
$90/5=18
Joan would need to work 18 hours
for question 6
P+ (PRT)/100
475 + 475(8.5)(12)/100
475+484.5
= 959.5
I hope this helped you ;)
Please help I will give brainliest IF IT IS CORRECT
Answers
Answer:
third graph and (3, -1)
Step-by-step explanation:
y = 2/3x - 3
y = -2x + 5
2/3x - 3 = -2x + 5
2 2/3x = 8
8/3x = 8
8x = 24
x = 3
find 'y'
y = -2(3) + 5
y = -1
The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5
the triangle below has an area of 25 units2, find the missing side
Answers
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]A= 0.5 bh[/tex]
[tex]25=0.5 (10)h\\\\[/tex]
[tex]25=5h[/tex]
[tex]5h=25[/tex]
[tex]h=5[/tex]
[tex]-------[/tex]
im just clueless i need help
Answers
Answer:
.....
Step-by-step explanation:
on what
Answer:
I didn't help because you did not ask any questions
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answers
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
Need help fast
Help please
Answers
Answer:
x= -5 y= 6
Step-by-step explanation:
Answer:
y2
x3
-4
=x10
11
22
x10
y3
x14