The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
Learn more about cuboid;
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What is it that when you take away the whole, you still have some left over?
Answer:
wholesome!!! brainliest pls :)
Answer:
wholesome
Step-by-step explanation:
you take away the first word which is whole
and u still have the word some left over
hope this helped if this isnt what ur looking for plz tell me
I etavidewifdwcvefoewf
I’m not sure what that meant.
Answer:
cool
Step-by-step explanation:
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
If 99 people have a mean incame of doolar 400, how much is the mean incame increased by the addition of a woman with an incame of doolar 1500
Answer:
Step-by-step explanation:
Mean income of 99 people = $ 400
Sum of income of 99 people = 400 * 99 = $ 39600
Income of a woman = $ 1500
Income of 100 people = 39600 + 1500 = $41100
Mean of 100 people = 41100/100 = $411
411 - 400 = $11
Mean income increases by $11
Write the equation of the line that passes through the point (-4,-9) and has a slope 1/2
Answer:
y=1/2x-7
Step-by-step explanation:
-9=1/2(-4)+b
-9=-2+b
b=-7
y=1/2x-7
The inside of a refrigerator in a medical laboratory measures 17 inches long by 18 inches wide by 42 inches high. How many cubic inches can it hold?
Answer:
12,852
Step-by-step explanation:
V= l*w*h
V=17*18*42
V= 12,852
AB
Round your answer to the nearest hundredth.
B
5
?
40°
Answer:
y
Step-by-step explanation:
y\
Answer: 6.53 on khan academy
Step-by-step explanation:
Which size is the best buy?
Lemonade
Size. Price
12 ounces. $.89
18 ounces. $1.69
24 ounces. $2.09
pls help me
Answer:
A) 12 ounces for $0.89
Explanation:
$0.89 ÷ 12 = $0.07
$1.69 ÷ 18 = $0.09
$2.09 ÷ 24 = 0.087
Now we know the different prices for each ounce, as you can see the 12 ounces is definitely the best buy.
I hope this helps!
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
Learn more about the distance here:
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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
for such more question on angles
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PLZ HELP MATH!
ASAP MANY POINTS REWARDED!
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
The sum of two numbers is 198. If one number is 20% larger than the other number, what are the numbers?
x + y = 198
y = 1.20 x
x + 1.2 x = 198
2.2x = 198
x = 198/2.2 = 90
y = 198 - 90 = 108
Answer: 90 and 108
Answer:
108 and 90
Step-by-step explanation:
let the two numbers be x and y
from the question let y be the greater number
therefore, y = 20%x +x
y=20/100x + x
y=(20x+100x)/100
y=120x/100
y=1.2x
from the question
x+y=198______(1)
x+1.2x=198
2.2x=198
x=198/2.2
x=90
from (1)
x+y=198
90+y=198
y=108
x=90 y=108
(2,3) (7,4) point slope form
Answer:
[tex]y-3=\frac{1}{5} (x-2)[/tex]
Step-by-step explanation:
First you need to find the slope by using this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}[/tex]
Now you can put it in point slope form which is: [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=\frac{1}{5} (x-2)[/tex] is your answer.
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
what is the slope of the line through (2,-1) and (-2,-3)
Answer:
y=1/2x-2
Step-by-step explanation:
1. Find slop by subtracting y values over subtracting x values, which will get you the m value
-1+3 / 2+2 = 1/2
HELP ASAP PLEASE! EVERY ANSWER IS APPRECIATED! THANK YOU!
Answer:
74°
Step-by-step explanation:
The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!
Answer:
71° will be your answer
okay who can tell me pi divided by 5.6 squared times 2
Answer:
0.20035667433
Step-by-step explanation:
Answer:
0.20035667433 , is the answer.
Step-by-step explanation:
Honestly whenever it comes to pi in maths , you can usually always use a calculator so on a calculator write in 'pi (5.6) *squared* x 2'
A police department used a radar gun to measure the speed of a sample of cars on the highway. Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a standard deviation of 8 mph. Using this distribution what is the z-score of a 65-mph speed limit?
Answer:
The z-score of a 65-mph speed limit is -0.75
Step-by-step explanation:
Here, we want to calculate the z-score
To calculate the z-score, we make use of the z-score formula
Mathematically;
z-score =(x-mean)/SD
from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph
Plugging these values into the equation above, we have
z-score = (65-71)/8 = -6/8 = -0.75
There are 197 oak trees in the park. There are 27 more pine trees than oak trees in the park how many trees are there in all
just add.................
197 + 27 = 224
hope this helps
Whether ab is tangent to circle c at point b
Answer:
No
Step-by-step explanation:
If segment AB is tangent to the circle, then angle CBA will be a right angle, making triangle ABC a right triangle. If triangle ABC is a right triangle, it's sides will fit the Pythagorean theorem...
(leg)^2 + (leg)^2 = (hypotenuse)^2
Does 8^2 + 16^2 = 19^2 ?
64 + 256 does not equal 361!
Triangle ABC is NOT a right triangle, so segment AB is not tangent to the circle.
I need help Whats the Domain and range
Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
what is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answer:y=2.5 x
Step-by-step explanation:
Given
Cow give 5 gallon of milk if it eats 2 pound of grass
i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass
So we can say cow given 2.5 times of milk in gallon for each pound it eats
If cow eats x pounds of grass then it must yield 2.5 times of milk
Suppose milk is denoted by y
therefore we can write
y=2.5 x
Therefore y=2.5 x represent the relation between grass and milk produced
Find the value of the pronumeral.
Answer:
x = 9.2
Step-by-step explanation:
The scale factor is 2 from the triangle on the left to the triangle on the right
2*2 = 4
Multiply the scale factor times the number on the left to get the unknown on the right
2*4.6 =9.2
A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.
Answer:
1:1Step-by-step explanation:
The ratio between the volume of the small cone to that of the frustum is 1:1.
Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.
Which equation are correct set ups to solve for the hypotenuse ** 2 answers
(Solve and Round decimal to the nearest hundredths )
Answer:x^2=2^2+4^2. x=4.47
Step-by-step explanation:
Opposite=m=2
Adjacent=n=4
Hypotenuse=x
x^2=m^2+n^2
x^2=2^2+4^2
x^2=4+16
x^2=20
x=√20
x=4.47
A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it would take the submarine to travel 57 miles at the same rate. Then find the time.
Answer:
1.5 hours
Step-by-step explanation:
We can write a ratio to solve
19 miles 57 miles
-------------- = --------------
.5 hours x hours
Using cross products
19x = 57*.5
19x =28.5
Divide each side by 19
19x/19 = 28.5/19
x =1.5
1.5 hours
I put the wrong answer don’t mind me
Please Help it’s urgent
Answer:
<LKH and <JKM
Step-by-step explanation:
<LKH and <JKM are vertical angles because they are vertically opposite.
Question 11 point(s) Jared made Ask Your Teacher cups of snack mix for a party. His guests ate Ask Your Teacher of the mix. How much snack mix did his guests eat?
Answer:
[tex]8\frac{1}{2}[/tex] cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together
quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]
