Ummi is setting up an aquarium in the shape shown here. She fills it
partially with water. The volume of the water is 15 ft3. Then she adds more
water to the aquarium. Now the volume of the water is 22 1/2 ft3. How
much does the level of the water rise when Ummi adds more water?
Answers
Answer:
7.5 ft3
Step-by-step explanation:
The level of the water rise when Ummi adds more water is 1 ft if the volume of the water is 15 cubic ft.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
It is given that:
Ummi is setting up an aquarium in the shape shown here.
The volume of the water is 15 ft3.
Then she adds more water to the aquarium. Now the volume of the water is 22 1/2 ft3.
The rise in volume = 22 1/2 - 15 = 7.5 cubic ft
The volume of the cuboid = length x width x height
3 x 2 1/2 x h = 15/2
h = 1 ft
Thus, the level of the water rise when Ummi adds more water is 1 ft if the volume of the water is 15 cubic ft.
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Related Questions
HELP WITH THIS TAP ON PIC TO SEE FULL QUESTION
Answers
Answer:
12.5 pieces of paper / box
Step-by-step explanation:
because 12.5 x 4 equals 50
i also did all the other equations to make sure this was the answe
can i plz get brainliest
Can you help me on question 13?!
Answers
Answer:B
Step-by-step explanation: 0.4 × 0.4 = 0.16 not much more explanation than that really
the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid
Answers
A sample of 5 integers selected is shown. Does this sample represent the general rule for picking an integer from 1 to 25 in the population of integers from 1 to 1,000? Explain.
Answers
Answer:
No
Step-by-step explanation:
The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.
Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.
Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.
However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the n term? A 5.8 - 3n B -- 3 -- 5.8 C8.2 -- 5.8 D 5.8 - 8.2n
Answers
Answer: C, 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,
At x = 1, y is 2.4.
2.4 = m + c ...1
At x = 2, y is -3.4.
-3.4 = 2m + c ...2
From equations 1 and 2, then we have
m = -3.4 - 2.4
m = - 5.8
Then the value of 'c' is given s,
2.4 = -5.8 + c
c = 8.2
Then the equation is given as,
y = 8.2 - 5.8x
If the pattern continues. Then the expression for the nth term is given as,
y = 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
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Which Theroms can be used to determine that the triangles are congruent
Answers
Answer:
SAS
Step-by-step explanation:
side GF is shared.
angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles
A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?
Answers
Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answers
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
[tex]c^{2}=a^{2} +b^{2}[/tex]
[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = [tex]\frac{10}{10.19}[/tex]
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = [tex]\frac{2}{10.19}[/tex]
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = [tex]\frac{10}{2}[/tex]
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
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Shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. In how many ways can the shoppers
be categorized?
Answers
Answer:
8
Step-by-step explanation:
2*2*2
In March, a share of stock was worth $55. Six months later the value of the stock decreased by 7.2%. Find the final value of the stock.
Answers
Answer:
54.928
Step-by-step explanation:
55 - .072=54.928
A recipe for making 54 biscuits requires 9 cups of biscuit mix.
Using this recipe, how many cups of biscuit mix will be needed to make 18 biscuits?
O A 2 cups
O B. 3 cups
C. 4 cups
D. 6 cups
Answers
Answer: the answer will be 3 cups
Step-by-step explanation:
Help??I have 4 questions and im confused on all of them
Answers
A=4•3.14•r^2
And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2
4^2 is 16 so your final equation would be
A=4•3.14•16
And your answer is
=452.39
Whats 3642o x 3234d +99? :/
Answers
Answer:
It's 5
Step-by-step explanation:
Thank you very much for the points :DD
Have a nice day!
10y -30 = 20y +20 -10y
Answers
Answer:
(no solutions exist)
Step-by-step explanation:
Find the area of the shaded region
Answers
Answer:
A
Step-by-step explanation:
8-6=2
6×2=12
12×2=24
Put your answer in cm^2
This que
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $48.30? How much was the tip?
The price of the meal without tip is $
The amount of the tip is $
Enter your answer in each of the answer boxes.
.
Answers
Answer:sup
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points
(-4, 2) and (12, 6)?
Answers
Answer:
[tex]y=\frac{1}{4} x+3.[/tex]
Step-by-step explanation:
1. if the points (-4;2) and (12;6) belong to the required line, then it is possible to make up its equation:
[tex]\frac{x+4}{12+4} =\frac{y-2}{6-2}; \ \frac{x+4}{4}=\frac{y-2}{1};[/tex]
2. if the common form of line in slope-interception form is 'y=s*x+i' (where s - slope, i - interception), then after evaluation of the equation in item 1:
4(y-2)=x+4; ⇒ 4y=x+12; ⇔
[tex]y=\frac{1}{4}x+3.[/tex]
Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?
Answers
Answer:
He was there for 8 hours.
Step-by-step explanation:
Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?
Answers
Answer:
6
Step-by-step explanation:
what is the number of runs scored please help me it's due at 2:00 pm for me it's 1:23pm
Answers
the answer is 64 you just add
1x4=4
2x4=8
3x5=15
4x4=16
5x1=5
7x1=7
9x1=9
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answers
Answer is in the file below
tinyurl.com/wpazsebu
Which ordered pair is a solution of the equation?
x+7y=17x+7y=17x, plus, 7, y, equals, 17
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis
(Choice B)
B
Only (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice C)
C
Both (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis and (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice D)
D
Neither
Answers
Answer:
hshshshshshegeheysheue
ejurehehehejendnendjd
Answer:
C
Step-by-step explanation:
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
Answers
Answer:
[tex] 34 \frac{13}{20} \: {ft}^{3} [/tex]
Step-by-step explanation:
Water required to fill the aquarium
= Volume of the aquarium
[tex] = lbh \\ \\ = 4 \frac{2}{5} \times 3 \frac{1}{2} \times 2 \frac{1}{4} \\ \\ = \frac{22}{5} \times \frac{7}{2} \times \frac{9}{4} \\ \\ = \frac{11}{5} \times \frac{7}{2} \times \frac{9}{2} \\ \\ = \frac{693}{20} \\ \\ = 34 \frac{13}{20} \: {ft}^{3} [/tex]
Who can solve this question?I will mark them as branlist.
Answers
Answer:
See below
Step-by-step explanation:
[tex] \overrightarrow a= \bigg(\frac{5}{\sqrt 34},\:\frac{3}{\sqrt 34}\bigg)[/tex]
We have to show that [tex] \overrightarrow a[/tex] is an unit vector.
To show this, we will find the modulus of [tex] \overrightarrow a[/tex] and if its value is 1, it will be a unit vector.
So,
[tex] | \overrightarrow a| = \sqrt{\bigg(\frac{5}{\sqrt 34} \bigg) ^{2}+\bigg(\frac{3}{\sqrt 34}\bigg)^{2} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25}{ 34} +\frac{9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25 + 9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{34}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{1} \\ \\ | \overrightarrow a| = 1[/tex]
Thus, [tex] \overrightarrow a[/tex] is a unit vector.
Find the complement of 120 degrees.
Answers
Answer:
Complementary angles are usually defined for angles between 0 and 90 degrees. You could technically say the complement is a -30 degree angle, because the polar coordinate system allows for negative angle measures.
Step-by-step explanation:
The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for
Answers
Given diameter (D) = 100
Radius = D/2 = 50
Circumference = πD
= 100π
= 314.15926535898
Samuel use the distributive property to simplify the expression -6(-2 - 10x) - 7x And came up with the answer 53X -12, which is wrong.
What was Samuels mistake
Answers
Answer:
-6 x -2 = 12
-6 x -10x = 60x
12 - 60x
60x - 7x = 53x
12 - 53x
He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.
whats 3/2 divided by 8/3 in fraction form
Answers
Answer:
9/16
Step-by-step explanation:
3/2 / 8/3 =
3/2 x 3/8 = 9/16
Hope that helps!
Hard Blues Music buys CDs with a list price of $32,000. If the wholesaler offers trade discounts of 3/2/1, find the net price factor
Answers
use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7
Answers
Answer:
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
Step-by-step explanation:
The computation of the next line in the sequence is shown below:
As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one
So,
1 = 1 × n
1 + (1+6) = 2 × n
1 + (1+6) + (1+6+6) = 3 × n
So, the next line would be
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
i.e.
1 + 7 + 13 + 19 = 4 × 10
As 1 + 7 + 13 + 19 = 40
And 40 = 4 × 10