Answer:
Height = 6 feet
Step-by-step explanation:
Given the following data;
Base area = 25½ ft²
Volume = 153 ft³
To find the height of the right rectangular prism;
Mathematically, the volume of a right rectangular prism is given by the formula;
Volume = base area * height
Substituting into the formula, we have;
153 = 25½ * height
153 = 51/2 * height
Cross-multiplying, we have;
306 = 51 * height
Height = 306/51
Height = 6 feet
Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
For this case, we're provided that:
Base area of the right rectangular prism = [tex]25\dfrac{1}{2} = 25 + 0.5 = 25.5 \: \rm ft^2[/tex]Volume of the right rectangular prism = [tex]153\: \rm ft^3[/tex]Let the length and width of the prism be L ft and W ft
Let the heigth of the prism be H ft
Then, we get:
Area of base = [tex]L \times W = 25.5 \: \rm ft^2[/tex] (since base is a rectangle with length L and width W).Volume of prism = [tex]V = H \times L \times W = H \times 25.5 = 153 \: \rm ft^3[/tex]Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]
Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.
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help pls i can give brainliest?
Identify the solution to the system of equations.
Is 0.35 grater than 300 mL
Answer:
yes
Step-by-step explanation:
yes
A mountain has a 21-degree slope. The mountain reaches an altitude of 468 feet. If you hike to the top of the mountain, starting at sea level, how far will you hike?
Answer:
1306 feet
Step-by-step explanation:
sin∅ = opp/hyp
sin21 = 468/hyp
hyp = 468/sin21
hyp = 1305.920355304657206
Rounded
1306 feet
PLEASE HELP ME I NEED THE ANSWER
Answer:
72 yd^3
Step-by-step explanation:
Answer:
Volume of this pyramid is 72.
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Answer:
Look at the image.
Step-by-step explanation:
(36 ÷ 4) - (36 ÷ 9)
9 - 4
5
(8 × 3) - 12 = 12
24 - 12
12
I really DONT know what’s function
Answer:
its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.
-by-step explanation:
I NEED HALP ASAP!!!
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A? Round to the nearest percent.
9514 1404 393
Answer:
35%
Step-by-step explanation:
Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...
28/80 = 0.35 = 35%
The probability that a recommending customer tested game A is 35%.
Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
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Find an angle with a positive measure and an angle with a negative measure that is coterminal with each angle 210° and - 120°
Answer:
For angle of 210°, coterminal angles are; 570° and -150°.
For angle of -120°, coterminal angles are; 240° and -480°
Step-by-step explanation:
Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;
For angle of 210°, coterminal angles are;
>> 210° + 360° = 570°
>> 210° - 360° = - 150°
For angle of -120°, coterminal angles are;
>> - 120° + 360° = 240°
>> - 120° - 360° = - 480°
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The students filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
1.) The check number on a check:
A.) identifies the bank and is located at the bottom left corner of the check.
B.) identifies the bank and is located at the top right corner of the check.
C.) identifies the transaction and is located at the bottom left corner of the check.
D.) identifies the transaction and is located at the top right corner of the check.
E.) None of these choices are correct.
Answer:
D) Identifies the transaction and is located at the top right corner of the check
Step-by-step explanation:
The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number
The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.
The check number also aids in balancing of the checkbook.
Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.
Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?
Answer:
$10,400
Step-by-step explanation:
please answer it soon
Simplify 4^3(3^2+11)(7^4-7^4)(10^10) show work
Complete the missing parts of the table for the following function. y=7x
Answers: 49, 1, 49
Those values go in the blanks from left to right
=====================================================
Explanation:
The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.
Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.
Lastly, 7^2 = 7*7 = 49 will go in the third box.
Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?
Answer:
1
Step-by-step explanation:
depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight
a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume
Answer:
The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches
Step-by-step explanation:
The given dimension of the steel sheet are;
The width = 8.5 inches
The length = 11 inches
Let 'x' represent the side length of the squares cut out, we have;
The length of the box formed, l = 11 - 2·x
The width of the box formed, w = 8.5 - 2·x
The height of the box, h = x
The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x
The maximum or minimum volume is found from dV/dx = 0 at max. or min.
dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0
Which gives;
x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)
x = 4.915 or 1.585
When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65
When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15
Therefore, the local maximum occurs at x ≈ 1.585
Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.
A car has a value of £15000 at the start of the
year, at the end of the year the car is worth £14000.
What is the percentage decrease ?
Given :-
Value of car in start years Sv= $ 15,000Value of car in last years Ev = $ 14,000Find :-
% decrease .ExplanationUsing Formula
[tex]\boxed{\tt{\red{\:(Decrease)\:=\:(Sv\:-\:Ev)}}}[/tex]
==> Decrease value = 15000 - 14,000
==> Decrease Value = $1000
Now, Calculate % decrease .
★ % decrease = decrease × 100/Sv
==> % Decrease = 1000 × 100/15,000
==> % Decrease = 100/15
==> % Decrease = 6.67 % [ Ans]which ones plsss help
Explain how an equation is like a balanced hanger plzzz answer due today
pls help asap! i will give brainliest
Answer:
G
Step-by-step explanation:
I did this assignment yesterday
Answer:
x = 91
y = 98
Your answer is F.
Step-by-step explanation:
Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.
180 - 89 = 91
180 - 82 = 98
Hope this helps, and have a wonderful day! :)
A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?
Answer:
$33.27
Step-by-step explanation:
Type the expression that results from the following series
of steps:
Start with x and multiply by itself.
Answer: x^2 (the ^ represents that the next number is an exponent)
Step-by-step explanation:
Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.
I need help with social studies, math, science and Creative Expressions
Answer:
Ohhk mate
kindly let us know what help u need
Answer:
ok? so what the question?
Step-by-step explanation:
You have started keeping track of your spending habits. You have noticed that after 12 days you have
$1281 left in your account. You check again after 17 days have passed and your account is now at $861.
How many days will it take before you run out of money (assume you are spending money at a constant
rate)? Marks will be awarded only for the use of equations where t is the time elapsed in days and m is
the money left in your account in dollars.
Answer:
Time taken to elapse the remaining $861 = 10.25 days
Step-by-step explanation:
Assuming that I am spending at a rate of -x dollars per day
Let initial amount be A
The rate of expenditure = 1281-861/5 = 84 dollars per day
Time taken to elapse the remaining $861 = $861/$84 per day
= 10.25 days
find the value of y.
Answer:
B.) 40°
Step-by-step explanation:
because the sum of all the interior angles should be 180°, so 50°+90°+y=180°
y must equal 40°
if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?
The inequality equation is x ≥ ( by - c - d ) / a
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
by - d ≤ ax + c be equation (1)
On simplifying the equation , we get
Subtracting c on both sides of the equation , we get
by - d - c ≤ ax
And , ax ≥ by - d - c
Divide by a on both sides of the equation , we get
x ≥ ( by - c - d ) / 2
Hence , the inequality is x ≥ ( by - c - d ) / a
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Ray recorded the amount he paid for his phone bill each month for the year in this table.
$28 $27
$26 $25
$32 $26
$30 $25
$30 $28
$28 $30
The range of the data is , and the interquartile range is .
Answer:
the interquartile is 4
Step-by-step explanation:
Answer:
range:7 inter. range: 4
Step-by-step explanation:
Which value cannot represent the probability of an event occurring?
0.01
StartFraction 2 over 85 EndFraction
62.5%
1.1
Answer: Probability cannot be greater than 1
so it would be D 1.1
Step-by-step explanation:
Answer:
D. 1.1
Step-by-step explanation: Hello
Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
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