Problem 3
Answer: 75 cubic inches-----------------------------
Explanation:
It doesn't matter what shape the base is, so the fact it's a hexagon isn't useful info here. What is useful is that the area of the base is 25 square inches.
We multiply this base area by the height, and then divide by 3 to get the volume of the pyramid.
V = (BaseArea*height)/3
V = (25*9)/3
V = 75 cubic inches
==========================================================
Problem 4
Answer: Exact volume = 1440pi cubic cmApproximate volume = 4521.6 cubic cmThe approximate volume is found by using pi = 3.14
-----------------------------
Explanation:
We apply this formula to find the volume of a cone
V = (1/3)*pi*r^2*h
In this case, r = 12 is the radius (half the diameter) and h = 30 is the height.
So,
V = (1/3)*pi*12^2*30
V = (1/3)*pi*4320
V = (1/3)*4320*pi
V = 1440pi ...................... exact volume in terms of pi
V = 1440*3.14
V = 4521.6 ....................... approximate volume if you use pi = 3.14
==========================================================
Problem 5
Answer: 27 times larger volume-----------------------------
Explanation:
Mary's cube has side lengths of 5 inches, so the volume of this cube is 5*5*5 = 5^3 = 125 cubic inches.
James then wants to triple the side lengths of her cube to have a new larger cube that has side lengths of 3*5 = 15 inches. The volume of this new larger cube is going to be 15*15*15 = 15^3 = 3375
To compare the two volumes, we'll divide the larger over the smaller
(larger volume)/(smaller volume) = (3375)/(125) = 27
This number 27 is due to cubing the value 3, ie 3^3 = 3*3*3 = 27
So the larger cube is 27 times larger compared to the smaller cube.
As another example, let's say he wanted to only double the side lengths. This would mean the larger volume is 8 times larger, since 2^3 = 2*2*2 = 8. Whatever the linear scale factor is, cube it and you'll get the volume scale factor.
If a greyhound can run up to 50mi/h. How long would it take a greyhound to run 10 mi?
Answer:
12 minutes
Step-by-step explanation:
(50miles/60 minutes)/5 = 10 miles/12 minutes
which of the following rules shows a reduction
Answer:
I believe you're missing something.
Help pleaseeeeeeeeeeeeee fast
Answer:
Step-by-step explanation:
a = 11.5×3 = 34.5 in²
b = 7.5×11.5 = 86.25 in²
c = a = 34.5 in²
d = b = 86.25 in²
lateral area = 2×34.5 + 2×86.25 = 241.5 in²
Answer:
241.5 in²
Step-by-step explanation:
What is the domain? {-2,3); (1,4); (2,4); (0,0)}
Answer:
-2,1,2,0
Step-by-step explanation:
0 your choice to right,still right it to be safe, domain is all x values
What is this trying to ask me ???
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
................................................
Answer:
75.8°
Step-by-step explanation:
x + x + 28.4° = 180°{ being linear pair }
2x = 180° - 28.4°
2x = 151.6°
x = 75. 8°
Hope it will help :)
Having emergency supplies ready is an important step in any preparedness plan. In the space below, draw an example of what your emergency supply pack would look like. Make sure to label each item so that others can see your materials.
Answer:
Emergency supplies are very important and it is very useful at times of need.
Step-by-step explanation:
Emergency supplies are a set of supplies that we may require at times when some situation or problem arises. During any situation which is not normal, these emergency supplies serves the purpose of life to one self.
Thus everybody should be prepared for the worst and should always keep an emergency supplies with them. These emergency supplies should contain all those item that we may require at times of need. It must contain :
-- a safety kit or a first aid kit
-- at least a gallon of water for drinking purposes and for sanitary purposes
-- a multi tool and a knife
-- a torch and batteries
-- emergency phone numbers and medical phone numbers
-- some clothes and weather resistance blankets
-- some copies of important documents
-- easy to cook and on perishable food items
-- two way radios
-- extra cash
-- maps
I need help on this problem
-10.7 + (-19.26)
(I have to show my work btw)
Answer:
-29.96
Step-by-step explanation:
You add both numbers, as both are negative, and you get the answer.
Aaron, Mathew and Sara share some money. Aaron gets 30% of the money. Mathew gets 3/8 of the money. Sara gets the rest. If Mathew gets ...
Complete question :
Aaron, Mathew and Sara share some money. Aaron gets 30% of the money. Mathew gets 3/8 of the money. Sara gets the rest. If Mathew gets £24 , how much do Aaron and Sara get?
Answer:
Sara = £20.8
Aaron = £19.2
Step-by-step explanation:
Let the amount of money = x
Mathew = (3/8) of x
Aaron = 30% of x = 0.3x
If (3/8)x = 24
3x / 8 = 24
3x = 192
x = £64
Aaron gets 30% = 0.3 * £64 = £19.2
Sara = £64 - (19.2 + 24)
Sara = £64 - £43.2
Sara = £20.8
A number or the product of a number and a variable in an algebraic expression; a number in a sequence is a term?
Answer:
Yes a number in a sequence is a term.
Step-by-step explanation:
Suppose we have three terms n+2 , n+4 and n+6 in the sequence .
These are treated as separate terms .
Suppose we have
n+ 2= 32
n+2-2= 32-2
n= 30
Again if we put
n+4=32
n+4-4= 32-4
n= 28
we get different values of n for the one solution given for all terms which shows that each term is different.
Now
if we have a different solution for each of them then
Putting the values
n+ 2= 32
n+2-2= 32-2
n= 30
Which shows n is constant but still the terms are different as each has a different value.
Hence the given number in a sequence is a different term.
and
n+4=34
n+4-4= 34-4
n= 30
A cylindrical can holds 355 ml when full. The can is 12 cm tall. Work out the radius of the can to 2 decimal places.
Answer:
Radius, r = 3.06 cm
Step-by-step explanation:
Given that,
The volume of a cylinder, V = 355 mL = 355 cm³
The height of the can, h = 12 cm
We need to find the radius of the can.
The formula for the volume of a cylinder is given by :
[tex]V=\pi r^2 h[/tex]
Where
r is the radius of the can
So,
[tex]r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{355}{\pi \times 12}} \\\\r=3.06\ cm[/tex]
So, the radius of the can is 3.06 cm.
Solve the simultaneous equations by substitution
8y−3x=23
3x=2y+1
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Morgan is making accessories for the soccer team. She uses 542.92 inches of fabric on headbands for 45 players and 4 coaches. She also uses 396.45 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
14 of 1914 of 19 Questions
Question 14 please anyone please help me ☺
Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?
5r
6r
2r+3
2 r + 3
3r+2
Answer:
See explanation
Step-by-step explanation:
The answer is either 2r+3 or 2 r + 3
I'm a bit confused because they're kinda the same thing but one of them is spaced out. I don't know if that space means anything.
Anyway if he's scores 3 more than 2 times the points ray scores, that means that he scores twice the amount that ray scores plus 3.
Please help! will mark brainliest if correct :) if not right, won't mark brainliest
9514 1404 393
Answer:
(d) 285.7 ft²
Step-by-step explanation:
The lateral area of a cone is given by the formula ...
A = πrh . . . . where r is the radius, and h is the slant height.
For your cone, this is ...
A = (3.14)(7 ft)(13 ft) = 285.74 ft²
The lateral area of the cone is about 285.7 ft².
Answer:
Its the second one
I need help with this
Answer:
in about 27 days
Step-by-step explanation:
i assumed 30 days per month when i set up this equation:
w = words learned daily
100 + 4w = 180 + 30/30w
100 + 4w = 180 + w
3w = 80
w = 26 2/3
Answer:
3.86 weeks/three weeks
Step-by-step explanation:
x time it takes for thier vocab to be the same in days
so the boy lerns 360 words of spanish in a year
or 360/365 words of spanish per day which is 72/73 words per day
so,
100+4x=180+72x/73
80=288x/73-72x/73
80=216x/73
80*73=5,840
5,840=216x
27.037 days=x
so now we have to divide by seven to get weeks so that is 3.86 weeks.
so some time in week three
Find the sum of the first 33 terms of the following series, to the nearest
integer.
2,8, 14, ...
Answer:
3234
Step-by-step explanation:
The series is arithmetic with a common difference = d = 6
First we need to find the 33rd term. Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]
[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]
Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]
So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]
= [tex]\frac{33(196)}{2}[/tex]
= 3234
Help help help me me me me
Answer:
Yes
Step-by-step explanation:
25/5 = 5
30/6 = 5
35/7 = 5
40/8 = 5
Since, 25/5 = 30/6 = 35/7 = 40/8 = 5
So the relationship between x and y is proportional.
Help, I didn't get it
Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a
bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150
Answer:The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
Step-by-step explanation:
53 - 21 + 62 + (25 ÷ 5)
What is the value of the expression when = 2?
A.
14
B.
48
C.
26
Answer:
48
Step-by-step explanation:
So your equation is: 5y3 - 21 + 6y2 + (25 ÷ 5) and y = 2.
Evaluate for y=2
5(23)−21+6(22)+
25
5
5(23)−21+6(22)+
25
5
=48.
So the answer is 48.
PLS HELP COME QUICK!!!!!!!
Determine the pattern rule and then fill in the missing values in the table
I NEED HELPPP AHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
5)
5)supplement : 180-10= 170°
5)supplement : 180-10= 170°Complement =90-10= 80°
5)supplement : 180-10= 170°Complement =90-10= 80°6)
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°Complement =90-80= 10°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°Complement =90-80= 10°8) False
9) True
10) True
) True11) True
) True11) True12) True
) True11) True12) True13) True
) True11) True12) True13) True14) False
can you table y=x+4 for me?
Answer:
Step-by-step explanation:
The middle value if there are an number of values or the average of two middle values if there are even number of values
10
X
5T Q15 Finding side lengths in a compound shape
Calculate the length of x. Give your answer correct to 3 significant figures.
Tools
11
Calculate the value of x. Give your answer to 3 significant
figures
BC = 5 * tan
50
12
5 cm
BC =
to 3 s.f.
13
B
с
x tan 38
38°
Show your working A
X=
cm to 3 s.f.
14
* cm
15
16
Reset
Q1 of 1
Next
Check Answers
Results
M
Answer/Step-by-step explanation:
✔️Find BC:
Reference angle = 50°
Opposite = BC
Adjacent = 5 cm
Based on trigonometric ratio, thus:
Tan 50 = BC/5
Multiply both sides by 5
BC = 5 × tan 50
BC = 5.96 cm (to 3 s.f)
✔️Find x:
Reference angle = 38°
Opp = x
Adj = BC = 5.96 cm
Based in trigonometric ratio, thus:
Tan 38 = x/5.96
Multiply both sides by 5.96
x = 5.96 × tan 38
X = 4.66 (3 s.f)
Use the Distributive Property
1/2 (2n+6m)
Answer:
n + 3m
Step-by-step explanation:
It will become 1/2 * 2n + 1/2 * 6m = n + 3n
PLEASE HELP WILL GIVE BRAINLIEST
Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet.
The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _____ square feet.
A rock dropped 182 feet from the top of the Leaning Tower of Pisa falls straight to the ground (off the right
side), to a point 22 feet from the base of the tower What ongle does the Tower make with the ground? Round
to the nearest whole degree.
I NEED ANSWERS NOW!!
Answer:
i think 37237
Step-by-step explanation:
*DISCLAIMER THIS IS NOT A REAL QUESTION*
So I heard the most bullcrap thing yet
Izuku and Bakugou vs Gon and Killua
CLEAR FACTS: Killua vs Bakugou
Feats:
Killua can move at 12'000 mph, Melody could barely hear Hi footsteps BUT Melody could hear a conversation from miles across a city, and then you Have Godspeed.
Gon can move 200'000 mph, He has mastered nen, Top feat destroyed a massve chunk of a forest, and then you Have Adult Gon
Izuku can move at mach 29, Still hasn't mastered OFA, Top Feat Destroy, and then you have 100%OFA(Copyrighted SSJ2 Gohan and nen eyes)
Bakugo can move 27mph, His explosion's are harmless(anyone even near a expulsion should have there insides melted yet everyone is fine with them and they do not tooo much damage to Todoroki or Izuku or even his old bully friends in middle school and childhood), Also if Izuku shares his DNA ya get super OFA Bakugou (a lil stronger than deku but not big enough)
Answer:
so which one would beat up who?
Step-by-step explanation:
Answer:
killua is strongest out of all of them so i think hell wjin
Step-by-step explanation: