A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the wall to have a volume of 330 cubic feet. What tool can be used to find possible dimensions for the base of the wall?
Answer:
For a rectangular prism that has a base area B, and a height H, the volume is:
V = B*H
This is the only "tool" that we need to use in this situation.
We know that the wall needs to be 3ft tall, then H = 3ft
And we also know that we have enough bricks for a wall of a volume:
V = 330 ft^3
If we replace these two in the volume equation, we get:
330ft^3 = B*3ft
Now we can solve this for B, and thus find the volume of the base of the wall.
To do it, we just need to divide both sides by 3ft
(330 ft^3)/3ft = B*3ft/3ft
110 ft^2 = B
This means that the area of the base is 110ft^2
As the base is a rectangle of width W and length L, we must have:
110ft^2 = B = L*W
Then the possible measures of the base are given by the linear relation:
L = 110ft^2/W
Where we also need to add some trivial restrictions, like:
L > 0 ft
W > 0ft
This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.
4x > 20 Is x=12 a solution?
yes or no
no
Hope this helps
:T
:B
:D
From what we have, x can equal 12
4x > 20
20/4 = 5
x > 5
12 > 5
The ratio of boys to girls in class is 4 : 5
What fraction of the class are boys
Answer:
The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.
HELP PLEASE!!!!!!!!!! ASAP
Answer:
j - 150
k - 62
l - 52
m - 96
find the common ratio of 80, 20, 5
Answer:
The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4
Step-by-step explanation:
Evaluate the function for an input value of 3. f(x)= −4x 2 −3x−5
Answer:
- 50
Step-by-step explanation:
x = 3
f ( x ) = - 4x^2 - 3x - 5
f ( 3 )
= - 4 ( 3 )^2 - 3 ( 3 ) - 5
= - 4 ( 9 ) - 3 ( 3 ) - 5
= - 36 - 9 - 5
= - 50
What is the area of the polygon below?
Answer:
65 units²Step-by-step explanation:
The polygon is the combination of two rectangles.
Sides of the greater rectangle:
3 - (-8) = 11 and-2 - (-7) = 5Sides of the smaller rectangle:
0 - (-5) = 5 and-7 - (-9) = 2Area of the polygon:
11*5 + 5*2 = 65 units²Is this a function?
A) Yes
B) No
Answer:
yes
Step-by-step explanation:
because its arranged in well functional statement
Sides or angles with the same measure are congruent. True or false
Answer:
True
Step-by-step explanation:
Find the area of each sector. Round your answer to the nearest tenth
Answer:
[tex]398.2 {km}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times \pi {r}^{2} \\ \frac{270}{360} \times \pi \times {13}^{2} \\ \frac{270}{360} \times \pi \times 169 \\ 398.2 {km}^{2} [/tex]
Hope this helps you
Can I have the brainliest please?
Have a nice day!
6.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 212; your car travels 212 miles.
B. 1/53; Your car travels 53 miles every 1 hour.
C. 53/1; Your car travels 53 miles every 1 hour.
D. 10; your car travels for 10 hours.
Answer:
D. 10; your car travels for 10 hours.
Step-by-step explanation:
Mark pays $4.68 for 0.72 of a pound of almonds. How much is one pound of almonds?
Answer:
$6.50/lb
Step-by-step explanation:
4.68/0.72 = $6.50/lb
Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.
Answer:
You would save 92$
Step-by-step explanation:
Discount = Original Price x Discount 40/100
Discount = 230 × 40/100
Discount = 230 x 0.4
You save = $92.00
Final Price = Original Price - Discount
Final Price = 230 - 92
Final Price = $138.00
Hope this helps
I'll give you the brainiest if your answer is right.
Answer:
=54
Step-by-step explanation:
give me the brainiest
Answer:
ACD would equal 117 degrees. ACB would equal 63 degrees.
Please help, I don’t understand this
Answer:
same here
have a nice day
Jessica is purchasing new photo frame for a photo. What measurement does Jessica need to know about the photo before she starts?
Joel is mailing a large envelope to his cousin. The envelope has pictures inside, so he doesn't want to bend it. What is the maximum width for the mail slot???
Answer:
the maximum width of the mail slot is 25 cm.
u. can find it through phythagoras theorem
Answer:
25
Step-by-step explanation:
Use the pythagorean theorem. Here's how: Since a^2+b^2=c^2, 7^2+24^2=576+49= the square root of 625 which is 25.
Evaluate the function.
f(x)= - x^2 - 10x
find f(-5)
Answer:
f(- 5) = 25
Step-by-step explanation:
To evaluate f(- 5) , substitute x = - 5 into f(x) , that is
f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25
A group of scientists wants to investigate if they can predict the life expectancy of mammal species given
its average heart rate. The table below shows the relationship between average heart rate (in beats per
minute) and life expectancy (in years) for a sample of mammals.
Whale
Elephant
Horse
Lion
Sheep
Pig
Average heart rate (BPM)
20
30
34
50
75
95
Life expectancy (years)
70
70
40
13
15
25
All of the scatter plots below display the data correctly, but which one of them displays the data best?
By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the
x- axis
Answer:
GRAPH B
Step-by-step explanation:
I GOT IT CORRECT ON KAHN!!!!
Nkechi wants to use a one-sample z interval to estimate what proportion of candies in a bag are red. She takes a random sample of 24 of the 80 total candies and finds that 18 of the candies in the sample are red. Which conditions for constructing this confidence interval did Nkechi's sample meet? Choose all answers that apply
Answer: The data is a random sample from the population of interest.
Step-by-step explanation: The condition is met since she randomly selected the sample from the population of interest.
The data is a random sample from the population of interests.(Option A), and individual observations can be considered independent.(Option C)
What are the conditions for valid inference about one proportion?Random sample: The sample should be taken randomly.Normal distribution of proportion: The sampling distribution of the proportion we're taking about should be normally distributed.Independent observations: Each of the observations must be independent.The missing options are:
A. The data is a random sample from the population of interests.
B The observed counts of successes and failures are both sufficiently large.
C. Individual observations can be considered independent.
For this case, we're given that the sample was random.
Sample size is 24,which is not sufficiently large (usually we take > 30 as sufficiently large size).
Also, each candle was independent for being red colored.
Thus, the data is a random sample from the population of interests.(Option A), and individual observations can be considered independent.(Option C)
Learn more about valid inference about proportion here:
https://brainly.com/question/3663642
Please help. ❗❗❗❗❗
osmqbshxissjwvgxkoqjwvwnmddk
Answer:
C
Step-by-step explanation:
This makes the most sense.
Rebecca needs a box with a rectangular base of 36 cm2 and a volume of 180 cm3. What would be the height of this box? O A. 45 cm B. 30 cm C. 20 cm D. 15 cm E. 5 cm
Answer:
Volume of box V = 180 cm^3
Base area of box A = 36 cm^2
Height = h
Volume = base area × height
height = volume/base area
h = V/A
Substituting the values;
h = (180cm^3)/(36cm^2)
Height h = 5 cm
Step-by-step explanation:
Can someone help me ASAP
pls help quickly thank u
Answer:
Dependant
Step-by-step explanation:
Its dependant because when you take out one chocolate another may fall and take its place.
Giving brainliest for the correct answer
Answer:
10 x 6 = 4
4 x 4 = 16
+
6 x 10 = 60
= 76 square cm.
Answer:
D
Step-by-step explanation:
pls help. i really need help right now
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
Find the percent of the number. 25% of 50 is
Answer:
12.5
Step-by-step explanation:
Can you help please.....
Answer:
b, d, and e are the three statements that make the most sense to be true.
Step-by-step explanation:
tell me if this is wrong.
Anyone know how to do this?
Answer:
Gonna say B
Step-by-step explanation:
-0.01 (65)+110 = 109.35
It was the predicted value of the 65 year old's vision score.
Since the equation has an equal sign
y (=)
And not more than nor less than, answer choices C and D are eliminated.
The exact value for the 65 year old's vision score is 102. So, A isn't right.