What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?
Answers
Answer:
A
Step-by-step explanation:
The density of the pyramid is approximately 0.57 grams per cubic centimeter.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
To find the density of the pyramid, we need to know its volume as well as its mass.
The volume of a pyramid is given by:
V = (1/3) × base area × height
The base of the pyramid is a rectangle with dimensions 5 cm by 7 cm, so its area is:
A = 5 cm × 7 cm
= 35 cm²
Using the formula for the volume of a pyramid, we have:
V = (1/3) × A× h
V = (1/3) × 35 cm² × 9 cm
V = 105 cm³
Now we can calculate the density:
density = mass / volume
Since the mass of the pyramid is given as 60 grams, we have:
density = 60 g / 105 cm³
To get the density in units of grams per cubic centimeter, we need to convert the units of mass and volume to grams and cubic centimeters, respectively:
density = (60 g / 1000) / (105 cm³ / 1000)
density = 0.57 g/cm³
Therefore, the density of the pyramid is approximately 0.57 grams per cubic centimeter.
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Related Questions
You have $20 to spend for cupcakes. If each cupcake costs $4, write and solve an inequality to show the maximum number of cupcakes you can buy.
Answers
5 cupcakes
Explanation:
20/4=5
What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
Answers
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
hyxetdryufgukhchfxrdtygujhftyuhuhyguhjygyu
Answers
Answer:
so the answer is: eijieljnqwsmiqwmx
did i answer it correctly let me know
Step-by-step explanation:
Destroy your keyboard by smashing each random word on the poor broken keyboard
Which one would it be?
Answers
Answer:
424
Step-by-step explanation:
If y = 424
and x is the number that exists as x already
y would equal to: 424
Urgent!!!!!!!!!
Can someone please give me the correct answer choice
I will mark the first person who answer without a link brainliest.
Please help!!!
Answers
Answer: 1 -3
Step-by-step explanation:
Answer:
(0,-3)
Step-by-step explanation:
If u count the spaces and move over and then down, u end up at (0,-3).
sorry! I forgot the picture in my last question. Still trying to figure brainly out lol! I cant figure out the last blank one. Some help please? Thanks!
Answers
Answer:
-1y² the rest is right
Step-by-step explanation:
A new laptop is on sale for $550 dollars. To pay for it you place it on your credit card which charges 12% percent interest each month
Answers
The interest amount charged on a new laptop is on sale for $550 dollars is $66.
Given that, a new laptop is on sale for $550 dollars.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, 12% of 550
= 12/100 ×550
= 0.12 ×550
= $66
So, interest is $66
Therefore, the interest amount charged on a new laptop is on sale for $550 dollars is $66.
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combine like terms 9y + 3y + 5x
Answers
Answer:
=12y+5x
Step-by-step explanation:
Answer:
12y+ 5x
Step-by-step explanation:
9y + 3y + 5x
9y and 3y are like terms
9y+3y = 12y
12y+ 5x
How do you write the mixed number shown as a fraction greater than one. I'm so confused. The number shown is 3 2/4
Answers
Answer:
14/2
Step-by-step explanation:
To begin a bacteria study, a petri dish had 2400 bacteria cells. Each hour since, the number of cells has increased by 3.6%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t
Answers
Answer:
Y=2400*3.6^t
Step-by-step explanation:
y=a*b^x
a is the initial amount
b is the decrease/increase rate
x is the amount of time
Hope it helps!
Write a unit rate for the situation. Show all work!
12 goals in 3 hours
HELP THIS IS DUE IN 12 MINUTES!
Answers
Answer:
4 goals per hour
Step-by-step explanation:
[tex]\frac{goals}{hour}=\frac{12}{3}=\frac{12/3}{12/3}=\frac{4}{1}[/tex]
The unit rate would be 4 goals per hour.
Hope this helps.
SOMEBODY PLEASE EXPLAIN THE ANSWER
A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?
A: y=165x+12
B: y=12x+165
C: y=12x+55
D: y=55x+12
Answers
It's C or A
Step-by-step explanation
this is because of the Commutative Property.
Write the equation for a circle with a center at (-7 , -4) and a radius of 2.
Answers
Answer:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
Start with the standard equation of a circle with center at (h, k) and radius r:
(x - h)² + (y - k)² = r²
Here we are given that h = -7, k = -4 and r = 2, and so we obtain:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
The answer is above, as well as the equation used to get to the answer.
Javier will have a party at home. His budget is no more than $75 for pizzas and wings.
The price of the pizza is $7.50 each and one package of wings is $5.50. Which inequality
can be used to determine the number of pizzas x and packages of wings y that Javier can
buy?
A 7.50x + 5.50y > 75
B 5.50x + 7.50y s 75
C 7.50x + 5.50y s 75
D 7.50x - 5.50y 27
Answers
Answer: 7.50x+5.50 less than or equal to 75
Step-by-step explanation:
please help. this is due in 10 min (image)
Answers
Answer:
200.55[tex]yd^{3}[/tex]
Step-by-step explanation:
Brainliest pls
If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function
Answers
hmm
the question doesn't look clear
Write the equation of the line that passes
through the points (-6,3) and (3,-9)
Answers
Answer:
slope intercept form:
y = -4/3x - 5
Step-by-step explanation:
hope this helps! :)
4 (3x +5) what is the value when x=11
Answers
Answer:
152
Step-by-step explanation:
4 (3x +5) Plug in
4(3(11) + 5)
4(33 + 5)
132 + 20
152
4(3x +5)
=4(3.11+5)
= 4(33+5)
= 4. 38
=152
What is the surface area of the figure?
below is a picture of the figure and the answer options
Pls help me I'm DESPERATE
Answers
Answer:
The answer is 24cm²
Step-by-step explanation:
The triangle area is given by A*½ and we get 4*2*½=6
Rectangle one is given as L*W and we solve 3*4= 12
Rectangle two is solved as L*W as well so we solved 1.5*4= 6
and we get 24cm²
Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of
4.
9
What is the value of 3?
Answers
Answer:
x = 36
Step-by-step explanation:
16 / (4/9) = 36
That's all there is to it. Hope I helped
f(x)=x^2. What is g(x)?
A. g(x) = x^2
B. g(x)=-2x^2
C. g(x)=x^2 - 2
D. g(x)=-x^2 - 2
Answers
Answer:
B
Step-by-step explanation:
TRUST.
if im wrong im really sorry
i would have failed you
i would feel guilty
and I would forget about it in like 5 minutes
WHAT IS THE MEDIAN I WILL GIVE BRAINIEST
Answers
Answer:
5 is the median
Step-by-step explanation:
By crossing out the points on each side one by one, you could find that 5 is the median.
Solve for x. 26x2–9x=0
Answers
Answer:
x=0;x=[tex]\frac{9}{26}[/tex]
Step-by-step explanation:
assuming you meant 26x^2-9x=0:
[tex]26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}[/tex]
Help with this
Please
Answers
Answer:
1. B
2. E
3. D
4. F
5. A
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answers
Answer: 80
Step-by-step explanation:
24 = 30%
48 = 60%
72 = 90%
24/3 = 10% = 8
72 + 8 = 80
How much do you save using the better buy? 432 for 6 or 364 for 7
Answers
PLEASE ANSWER THANK U SO MUCH
Answers
Answer:
answer is 21 : 4
hope it helps ......
Answer:
k = 5.25
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 84 and x = 16 , then
84 = 16k ( divide both sides by 16 )
5.25 = k
Which known figures make up this unknown figure?
Answers
Answer:
trapezoid and half circle.
Step-by-step explanation:
1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles
Answers
Answer:
Do you have any Images?
Step-by-step explanation:
Answer:
I don't get it.
Step-by-step explanation:
Line AB connects the ends of the horseshoe and passes through the stake at point (x,y). If the equation for line AB is x = 6, which of these might be the coordinates of the stake? Assume that all the points lie in a rectangular coordinate system.
https://portal.achieve3000.com/images/uploads/m910_teensatcamp09.gif
Answers
Answer:
(6,0), (6,1), (6,2) (6,3)...
Step-by-step explanation:
x = 6
This means that 6 is the x-intercept since this is the equation for a verticle line, this means that x remains in 6 and y is the only number that moves so the AB stake point could be any number where x is 6, it could even be (6,0),
(6,1) e.t.c.