Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.
Right rectangular prismA right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
Volume of right rectangular prismTo calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.
That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.
Volume of the containerIn this case, you know that:
the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft. the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.So, the volume of the container is calculated as:
7.5 ft× 11.5 ft× 3 ft= 258.75 ft³
Then, the total weight of the contents is calculated as:
258.75 ft³× 0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds
Finally, the total weight of the contents is 38.81 pounds.
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Does acute isosceles exist?
Yes Or no..
Answer:
YES
Step-by-step explanation:
isoceles triangles CAN be acute in real.
Just try to look at an isoceles triangle, if there is one angle that is obtuse, then there HAS to be an angle that is acute.
Thanks!
Answer:
Yes, acute isosceles triangles exist.
Step-by-step explanation:
8 divided by 0.61 show me how you solved it
A lawn sprinkler sprays water in a circular area of grass. The diameter of the circular area of grass is 15 ft. What is the area that this sprinkler sprays with water?
Answer:
56.25[tex]\pi[/tex]ft² or 176.715 ft²... it depends of if you round or not
Step-by-step explanation:
area = πr², r=7.5, 7.5*7.5=56.25
3. Mr Chen's salary was $2800. He spent $1500 and gave the rest equally to each of his 3 daughters and 2 sons. How much did each daughter receive? Ans:
Answer:
$260 each
Step-by-step explanation:
Combined, Mr. Chen as 5 children. 2800-1500 = 1300. 1300/5 = $260 per child.
Which graph represents the given function?
Answer: it’s b
bye don’t have a good day have a great day
Step-by-step explanation:
Two friends at a restaurant each order a fruit drink. The available flavors are watermelon, orange, or mango. Write an organized list using the format to represent the sample space of the friends' fruit drinks.
Answer: A
Step-by-step explanation:
(Friend 1, Friend 2)
Friend 1 = x
Friend 2 = y
(x, y) variables are substitution for the flavors
So it cant be C or D
B doesn't have all the possible solutions
An item is regularly priced at $40. Miguel bought it on sale for 30% off the regular price. How much did Miguel pay?
Compare. Select<,>,=.
13 gal ? 55qt
Answer:
13 gal < 55 quarts
Step-by-step explanation:
There are approx 4 quarts in 1 gallon
Therefore, 13 gallons = 13 x 4 = 52 quarts
52 < 55
So 13 gal < 55 quarts
find the marked angles in each of the following. where a point O is given it is the centre of the circle.
-1/6 - ( -3/5)
write answer in simplest form
Answer:
13/30
Step-by-step explanation:
find the area of the parallelogram
Pls help me with 13 you will get Brainly the instructions are to evaluate the following a=6, b=3,c=2 please answer this question pls you will get Brainly for the best answer but please provide step-by-step explanation also
You have to plug in the values into the equation.
Since a=6, all the a's in the equation would be replaced by 6 and same goes for the b.
^ means exponent btw
= -[2(6)^2 -6- (5(6)^2-3(3)) -4(6)^2 +2(3)]
Calculate/ simplify
= -[2(36)-6 - (5(36) -9)-4(36)+6]
Multiply all the things in parenthesis
= -[72-6-(171)-144+6]
Add/subtract
= -[-243]
Negative times negative becomes positive therefore, the answer becomes 243
Angie was given the system of equations. Angie’s work is shown in the table.
7x+y=−12
7x+4y=−6
Where did Angie make an error? Justify your answer.
Step 1; because she should have multiplied the second equation by -1.
Step 2; because she should have eliminated the y-value.
Step 3; because she used substitution incorrectly.
Step 4; because the solution is (2,-26).
Angie made an error because she used substitution incorrectly in step 3.
System of equation7x + y =−12
7x + 4y = −6
subtract equation(i) from (ii) to eliminate x
Therefore,
3y = 6
y = 6 / 3
y = 2
Therefore,
7x + 2 = -12
subtract 2 from both sides of the equation
7x = -12 - 2
7x = - 14
x = - 14 / 7
x = -2
(-2, 2)
Therefore, Angie use substitution incorrectly in step 3.
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A taxi cab company charges an initial fee of $4 and then $5 per mile for a ride. Use the equation c = 5x + 4 to complete the table
Answer:
Plug in the number of miles for x and solve for c- this will be your total number.
Step-by-step explanation:
Plug in the values you need for your table and solve for c.
randy read a book in the afternoon. He looked at his watch when he started and finishing reading. How long did randy read
The length of the time that randy read is 45 minutes.
What is time?Time is known to be an element that is often measured or that is measurable.
From the image attached, Randy started reading at 4:10 and Randy finished reading at 4:55.
We therefore need to subtract:
4:55 - 4:10 = 45 minutes
So, Randy is said to read for 45 minutes.
It is a period via which an action, process, etc. is alive or continues such as duration. One can tell the time by counting the minutes and seconds.
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When you have a 90-degree angle in a triangle, what happens to the law of cosines? What formula does it "turn in to"?
Answer:
Pythagorean Theorem
Step-by-step explanation:
a² + b² = c²
The sum of the square of the hypotenuse is equal to the sum of the squares of the sides of the right triangle.
When you have a 90-degree angle in a triangle, the Law of Cosines simplifies to the Pythagorean theorem: c² = a² + b².
When you have a 90-degree angle in a triangle, it means that the triangle is a right triangle.
In a right triangle, one of the angles is exactly 90 degrees, and the side opposite to this right angle is called the hypotenuse.
The Pythagorean theorem relates the lengths of the sides of a right triangle and is a special case of the Law of Cosines.
The Law of Cosines is given by:
c² = a² + b² - 2abcos(C)
Where:
c is the length of the side opposite angle C.
a and b are the lengths of the other two sides.
C is the angle opposite side c.
Now, when you have a right triangle and C is the right angle (90 degrees), the cosine of the right angle becomes zero.
This is because the cosine of 90 degrees is 0.
Therefore, the Law of Cosines simplifies to:
c² = a² + b² - 2abcos(90°)
c² = a² + b²
Hence, c² = a² + b² is the well-known formula for the Pythagorean theorem, which relates the squares of the lengths of the two shorter sides (legs) of a right triangle to the square of the length of the hypotenuse.
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Gretta is having a birthday party and is buying pizza for everyone. She buys 32 pizza for 8.00 dollars. What is the unit rate?
Answer
= 4 pizzas per dollar
Step-by-st:ep explanation:
This is a fraction equal to
32 pizza ÷ 8 dollars
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 8
32 pizza ÷ 8
8 dollars ÷ 8
=
4 pizza
1 dollar
=
4 pizza
dollar
= 4 pizzas per dollar
Hope this helps!
A quadrilateral has vertices at (1,1), (4,2), (0,4), and (5,5). What is the perimeter of the quadrilateral?
Answer:
3√10 +√26 ≈ 14.6 units
Step-by-step explanation:
In order to find the perimeter of the figure, we need to determine the lengths of its sides. A plot of the points on a graph reveals that three sides are a length that is the hypotenuse of a right triangle with legs 3 units and 1 unit. Those lengths are ...
c² = a² +b²
c = √(3² +1²) = √10
The remaining longer leg is the hypotenuse of a right triangle with legs 5 units and 1 unit. Its length is ...
c = √(5² +1²) = √26
__
The perimeter of the figure is the sum of its side lengths. The sum of the lengths of the three short sides and the long side is ...
3√10 +√26 ≈ 14.59 . . . units
The perimeter of the quadrilateral is about 14.6 units.
the cost of cab fare is $12.00 write and solve an equation to show the total with a 13% tip add
Answer:
13.56$
To write an equation, we need to think about what this is asking us. It's asking us to take a number and increase the total % to be 113% of the original number. This looks something like
[tex]y = 1.13x[/tex]
Where y is amount with a tip and x is amount before a tip. To calculate for 12 dollars, we plug 12 into x and it comes out as 13.56 dollars
Hope it helps!
Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers. It awards 6 points for each correct answer, 1. 5 points for each answer left blank, and 0 points for incorrect answers. Joe is sure of 12 of his answers. He ruled out 2 choices before guessing on 4 of the other questions and randomly guessed on the 9 remaining problems. What is his expected score? 69. 2 75. 6 90. 8 97. 2.
The expected score that Joe can obtain provided the probability of the left-out questions being correct as per the given situation is 90.8.
Points secured by Joe by answering correctly = 12*6 = 72
What is probability?Probability is the conversion of possibilities or occurrences in numbers.
Now, the probability of a correct guess in the questions in which Joe eliminated 2 choices = 1/3
So, the possible marks of Joe in those 4 questions = 1/3*4*6=8
Probability of correct guess in remaining 9 random guesses= 1/5
So, the possible marks that Joe can score in those 9 random guesses = 1/5*9*6 = 10.8
Therefore, the expected score of Joe = 72+8+10.8 = 90.8
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Why did Marie Antoinette need to marry the French family?
HELP WITH I NEED THE AREA OF THIS TRIANGLE AND I WILL GIVE BRAINLIEST TO BEST STEP BY STEP ANSWER
Solution:
Note that:
Area of triangle = 1/2 x Base x HeightUse the formula to find the area.
1/2 x 8mn x 4m²=> 4mn x 4m²=> 16m³n units³The area of the triangle is 16m³n units³.
This is the graph of f(x). What is the value of f(2)?
A. 2
B. 16
C. 8
D. 4
Answer:
D
Step-by-step explanation:
When x=2, f(x)=4. This means that f(2)=4.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
rectangle, square, and trapezoid
Step-by-step explanation:
How do I solve this?
Answer:The solution is in the attached file
Step-by-step explanation:
Solution:
Note that:
Slope of line = 4Given point: (1, 13)Point slope form formula: y - y₁ = m(x - x₁)Use the formula to obtain the equation of the line.
y - y₁ = m(x - x₁)=> y - 13 = 4(x - 1)=> y - 13 = 4x - 4=> y = 4x - 4 + 13=> y = 4x + 9The equation of the line is y = 4x + 9.
y= 5-3x
y= -3x+4
solution or no solution
Answer:
no solution
Step-by-step explanation:
y = 5 - 3x → (1)
y = - 3x + 4 → (2)
substitute y = - 3x + 4 into (1)
- 3x + 4 = 5 - 3x ( subtract 4 from both sides )
- 3x = 1 - 3x ( add 3x to both sides )
0 = 1 ← not possible
this indicates the system has no solutions
Trigonometry, just the first one, will mark as brainliest if helpful
Answer:
a = -0.5
b = −1.73
c = −0.70
d = [tex]-\frac{\sqrt{2} }{2}[/tex] ≈ -0.70710678
Step-by-step explanation:
EXPLAIN Q(a):
sin(−30)
Use the property sin(−x)=−sin(x).
−sin(30)
Get the value of sin(30) from trigonometric values table.
-0.5
Can someone help me understand what this means
The straight line joining points A(p,3) and B(1,-1) has length 5, workout the value of p
Answer:
d^2 = <y2-y1>^2 + <x2 -x1) ^2
so
p =4
Need answers for 9,11,15,17,26,36
