Answer:
x=4/3
Step-by-step explanation:
Dimensions of a Box A large plywood box has a volume of . Its length is ft greater than its height, and its width is ft less than its height. What are the dimensions of the box
Answer:
Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.
Step-by-step explanation:
Given, the volume of the box, V = 180 feet cube
Let the height of the box, h = x feet
Therefore, length is, l = ( 9+x ) feet
And width is, b = ( x-4) feet
so volume of the box is
V = l x b x h
[tex]$ 180= (x+9) \times (x-4) \times (x)$[/tex]
[tex]$ x^3 +5x^2-36x -180 =0$[/tex]
Factorizing we get
(x+5)(x-6)(x+6)=0
Therefore,
x = -5, -6, 6
Now since the height of the box cannot be negative, so taking the positive value of x, we get
Height of the box, h = x = 6 feet
Length , l = ( 9+x ) = 9+6 = 15 feet
Width , b = ( x-4) = 6-4 = 2 feet
Which is the correct classification of
?
3/8
Factor each polynomial.
15d -12cd^2
Answer:
3d(5-4cd)
Step-by-step explanation:
15d - 12cd² (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)
= 3 (5d - 4cd²) (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)
= 3d(5-4cd)
WXYZ is a quadrilateral in which
W^=108 degrees, X^=88 degrees, Y^=57 degrees and WX^Y= 31 degrees.
Calculate angle WZ^X and XZ^Y
Plzzz i really need to know the answer
Step-by-step explanation:
what is your name what is 1000 divided by 1000
Write an inequality for the following statement.
9 is greater than a
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
PLEASE HELP QUICK!!!!! Find the value of x
Answer:
x = 22
Step-by-step explanation:
158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral. Thus:
x + 338 = 360.
Subtracting 338 from both sides, we get x = 22
What is the solution to the system of polynomials graphed below?
Answer:
D
Step-by-step explanation:
The solution to a system of equations is where the two equations intersect on a graph.
So, the solution to the system of polynomials graphed below would be where they intersect.
We can see that they intersect at (2,20)
Therefore, their solution is (2,20)
Our answer is D
find the sum of first 22 terms of AP 8, 3, -2
Solve each equation. Give exact solutions. Then approximate each solution to the
nearest hundredth, if necessary.
1). x2 = 121
2). 4x? = 20
3). 4x² + 5 = 20
Answer:
sorry dont know the answer im new to this website
Step-by-step explanation:
Answer:
1.x=11
2.x=+5=+2.2362
3.x=+3.750=+1.93649
What are the coordinates of B(-4, -5) under a 180 degree rotation about the origin?
Answer:
(4, 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
B(- 4, - 5 ) → (4, 5 )
Which problem could be solved with the expression (5+3) = 2?
Answer:
A
Step-by-step explanation:
Do 5-3=2 and then you have your answer if I got it wrong sorry
Answer: A
Step-by-step explanation:
solve the equation
5+3 =8
plug in each problem.
8-2= 6
Which domain window settings would be appropriate if you wanted to graph the function below in radians for exactly
two periods?
f(x) = cos(x)
Xmin = 0 Xmax = 720
O Xmin = 0 Xmax = 2pi
O Xmin = -180 Xmax = 180
O Xmin = - Xmax = 3pi
Answer:
Xmin = –π Xmax = 3π
Step-by-step explanation:
Domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.
What is the period of a function?The distance between the repetition of any function is called the period of the function.
For example, for the cosine function, the distance between the repetition of the function is [tex]2\pi[/tex]. So the period of the cosine function is [tex]2\pi[/tex].
If you want to graph the function for exactly two periods the difference between the first and last element of the domain should be two times the period of the function.
i.e. If the domain is [a, b] the value of [tex]b-a = 4\pi[/tex].
Option(1) b-a =720° [tex]=4\pi[/tex]
Option(2) b-a =[tex]2\pi[/tex] [tex]\neq 4\pi[/tex]
Option(3) b-a =360 [tex]\neq 4\pi[/tex]
Option(4) b-a =[tex]3\pi[/tex][tex]\neq 4\pi[/tex]
So, correct option is option(1) i.e. Xmin = 0 & Xmax = 720°
Hence, domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.
To get more about the period of a function visit:
https://brainly.com/question/3511040
What is -3/4 + 2 3/4? A. 3 1/2 B. 3 3/4 C. 2 1/2 D. 2
Answer:
The correct answer is D. 2
Step-by-step explanation:
i think answer is D.2
Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?
Answer:
150 vouchers to wash trucks were sold
250 vouchers to wash compact cars were sold
Step-by-step explanation:
Here, we are interested in calculating the number of each type of vouchers sold.
Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.
Firstly, we know that both sums up to be 400.
Mathematically;
x + y = 400 •••••••••(i)
Secondly,
since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x
Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y
The sum of both gives $1350, which is the total sales.
Mathematically;
4x + 3y = 1350 ••••••(ii)
So we have two equations to solve simultaneously;
x + y = 400
4x + 3y = 1350
Multiply equation i by 4 , we have;
4x + 4y = 1600
4x + 3y = 1350
Subtract equation ii from i, we have 4y-3y = 1600-1350
y = 250
From equation 1, we know that
x + y = 400
This means that;
x = 400 -y
x = 400 -250
x = 150
Determine the interval on which the function is constant
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
A constant function is a function having the same value of range for different values of the domain.
The interval on which the given function is constant is x ∈ [ -2, 2 ].
What is a constant function?A constant function is a function having the same value of range for different values of the domain.
We have,
The graph shows that the function is constant at an interval.
The graph of a constant function is always a straight line.
We see that we have a short straight line on the graph.
The straight line starts from the x = -2 till x = 2 on the x-axis.
The straight line has the constant y = -2 on the y-axis.
The x values are called the domain.
The y value is called the range.
The interval on which the graph is constant is x ∈ [ -2, 2 ].
Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].
Learn more about functions here:
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I NEED HELP ASAP!!!!!!!!
Which expression is represented by the model?
A. 4x-3
B. 4x+3
C. -4x-3
D. -4x+3
The diagram is a straightedge and compass construction. C is the center of both circles.
Which of the following statements must be TRUE by construction? Select all that apply.
A
AB and an have the
Answer:
The correct options are;
B. AC and AD have the same length
D. Triangle BCE is isosceles
Step-by-step explanation:
From the diagram we have;
B. Segment AC and segment CD are the radii of the same circle with center C and radius AC, therefore, given that the radius of a circle is constant round a circle, we have;
The length of AC = The length of AD
D. In triangle BCE, we have the length of segment CB is equal to the length of segment CE which are both radii of the circle with center C and radius CE, therefore, the triangle BCE has two sides equal which gives triangle BCE is an isosceles, from the definition of isosceles.
On January 22, 1945, the temperature in Spearfish, South Dakota, fell from 54 degrees Fahrenheit at 9 am to -4 degrees at 9:27 am. how many degrees did it fall?
Answer:
58
Step-by-step explanation:
Use a number line.
-4 + 4 = 0.
So, you already have 4 Fahrenheit.
Then, add the distance of 54 from 0 to 54.
4 + 54 = 58.
That is your answer, here to help!
divide 6/13 by 6/12 in fraction form
when you divide 6/13 by 6/12 you should be getting 12/13
step by step :
take the reciprocal ( flipping the numerator and denominator ) of the second fraction and changing the division sign to multiplication :
it should look like this :6/13 × 12/6
the next step is to multiply the numerator and denominator
it should look like this :6 × 12 / 13 × 6 = 72/78
the fraction can be reduced by dividing numerator and denominator by greatest common factor of 72 and 78
here the greatest common factor will be 6
it should look like this :
72 ÷ 6 / 78 ÷ 6
you should get 12 / 13 as an answer
so that's it :)
hope this helped !
2 (5p - 4) = 3p -7 need this very soon
Answer:
p=7
Step-by-step explanation:
2 (5p-4)=3p-7
(10p-8)=3p-7
10p=3p+1
7p=1
p=7
√50 inrrational or rational
Answer:
it is irrational
Step-by-step explanation:
hav a nice dAY
-4 2/3+ 1 5/6 pls help me
Answer:
-2.83~
Step-by-step explanation:
google :)
Someone please help even if u just answer one of the questions :)
Pls halp due today >_<. Thank you
Answer:
y=38.75x
Step-by-step explanation:
Divide 310 by 8 which will give 38.75 and put it into linear relationship.
cosec A + 1 / cosec A - 1 = 1 + sin A / 1 - sin A
Step-by-step explanation:
you can see the steps above
Step-by-step explanation:
Hey there!!!
see explanation in picture.
Hope it helps...
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? How is the answer 20.8?
Answer:
20.8 cm
Step-by-step explanation:
Perimeter of square = 4a
Dimension of the thumb print = 1 cm by 1cm
Perimeter of the size of the square (thumb print) = 4 × 1
= 4 cm
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence,
32cm - 4cm = 28cm
What is the perimeter of the square after 1.5 seconds?
We set up a proportion
Time / perimeter
= 1.5/x = 2.5/ 28
Cross Multiply
= 2.5x = 1.5 × 28
x = 1.5 × 28/2.5
x = 16.8.
Therefore, the perimeter of the square after 1.5 seconds
= 16.8cm + perimeter of the square before expansion.
=16.8 cm + 4 cm
= 20.8 cm
Answer:
C: 20.8 centimeters
Step-by-step explanation:
Bonnie filled her car's gas tank. She put in 10 1/2 gallons and paid $15.36. Write the ratio in fractional form and determine the cost of gasoline per gallon
Answer:
1: 2 and $3.072
Step-by-step explanation:
According to the question, the data provided is as follows
10 half gallons
For this she paid $15.36
Based on the above information,
The ratio in fractional form is
= 1 ÷ 2
= 1 : 2
And, the cost of gasoline per gallon is
Since half of 10 gallons is 5
And, the amount paid is $15.36
So, the cost of gasoline per gallon is
= $15.36 ÷ 5
= $3.072
Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of her school day does Kaia spend in science class
Answer:
15%
Step-by-step explanation:
Since a percent is out of 100 we can make 75/500 to have the denominator of 100.
To do that you divide
500/5 = 100
and for the numerator
75/5 = 15
whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%
Hope that helps and have a great day!
The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hours was the bicycle rented
What are the factors for 15x - 4 - 8?