Answers
Therefore, the height of the pet door would be 36 centimeters if its base is 25 centimeters wide.
What is equation?In mathematics, an equation is a statement that shows the equality of two expressions. An equation can be written in various forms, but it always has an equal sign (=) between the two expressions. The expressions on either side of the equal sign are referred to as the left-hand side (LHS) and right-hand side (RHS) of the equation, respectively.
Here,
1. The area of a rectangle can be expressed as the product of its length and width. In this case, we know that the area of the pet door is 900 square centimeters. Let's represent the width of the base as b, and the height of the door as h. Then, we can write:
area = length x width
900 = h x b
Solving for h, we get:
h = 900 / b
2. If the base of the pet door is 25 centimeters wide, we can use the equation we derived in step 1 to find the height of the door. Substituting b = 25 into the equation, we get:
h = 900 / 25
h = 36
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Related Questions
What’s the answer for X
Answers
Answer: x=10°
Step-by-step explanation:
The problem tells us that ΔABC≅ΔDEC. Since these triangles are conguent, we know that:
∠A≅∠D
∠B≅∠E
∠C≅∠C
Since we know that ∠B is 50° and ∠B is congruent to ∠E, we can set them equal to each other to find x.
50=5x [Divide both sides by 5]
x=10°
Andy has 20 coins made up of quarters and half dollars, and their total value is $9.25. How many quarters does he have?
Answers
Using simple linear equations, we can calculate that Andy has 3 quarters.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Let the number of quarters Andy has = x
number of dollars Andy has = 20 - x
value of quarter = 0.25x
value of dollars = 0.5(20 - x)
Total value = $9.25
⇒ 0.25x + 0.5(20 - x) = 9.25
⇒ 0.25x + 10 - 0.5x = 9.25
⇒ - 0.25x = 9.25 - 10
⇒ - 0.25x = - 0.75
⇒ x = 3
Andy has quarter = 3
He has dollars = 20 - 3 = 17
To learn more about linear equations from given link
https://brainly.com/question/2030026
#SPJ1
Finding a percentage of a total amount: Real-world situations
A file that is 258 megabytes is being downloaded. If the download is 13.3% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
Answers
Answer: 34.3 megabytes
Step-by-step explanation:
To find how many megabytes have been downloaded you must multiply 13.3% by 258. 13.3% can be written as the decimal 0.133
Now let's multiply
\(258\)×\(0.133\)=34.314
Rounded to the nearest tenth that is 34.3
please help need asap
Answers
Answer: X = 21/6
Step-by-step explanation:
The angle is a 90 degree angle.
that means we know 21x+6=90
21x = 90-6
21x=84
x = 84/24
x = 21/6
x = 21/6
For what values of theta do maximum r-values occur on the graph the polar equation r = 2 cos4 theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole
Answers
Answer:r=2 cos^4(theta)
Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.
First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:
r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.
Next, we can take the derivative of r with respect to theta, using the chain rule:
dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).
Setting this equal to zero and factoring out sin(2theta), we get:
sin(2theta)(-1 - 2cos(2theta)) = 0.
This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.
When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.
When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.
These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).
In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?
Answers
Answer:
They make 4 approximately tons of oxygen each year.
Step-by-step explanation:
( 250lbs × 32 ) ÷ 2000 = 4t
250 pounds because each tree makes about 250 pounds of oxygen a year.
× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.
÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.
juan thinks the answer is between 5 and 6 melanie says the answer is between 3 and 4 who is correct \(\sqrt[3]{28}\)
Answers
Answer:
28
Step-by-step explanation:
4,8,12,16,20,24,28. +4 every time
is it possible for a binomial and trinomial to have the same degree?
Answers
Answer:
No
Step-by-step explanation:
B/c trinomial has exactly 3 terms and binomial only have 2
Choose the equation of the line that is parallel to the y-axis.
x = -2
x + y = 0
x = y
y = 2
Answers
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
Answers
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
To learn more about : angle
https://brainly.com/question/25770607
#SPJ8
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
Answers
9514 1404 393
Answer:
100 runs from Macon
Step-by-step explanation:
A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).
Checking costs of these solutions, we find the lowest cost to be obtained when ...
100 production runs should be ordered from Macon
what is the value of d+3
Answers
Answer:
you need to explain
Step-by-step explanation:
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Answers
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
For more question on payment visit:
https://brainly.com/question/27926261
#SPJ8
Graph the inequality
x<5
Answers
Draw the graph of x-axis which is lesser than 5 .
What is Graph inequality ?
In mathematics, a relationship between two expressions or values that are not equal to each other is called inequality.In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality. A graph of this inequality will show what numbers may be used to replace x in our inequality to make a true statement.Linear inequalities can be graphed on a coordinate plane.The solutions for a linear inequality are in a region of the coordinate plane. A boundary line, which is the related linear equation, serves as the boundary for the region.Linear inequalities are different than linear equations, although you can apply what you know about equations to help you understand inequalities. Inequalities and equations are both math statements that compare two values.Equations use the symbol =; inequalities will be represented by the symbols <, ≤, >, and ≥.One way to visualize two-variable inequalities is to plot them on a coordinate plane.To learn more about Graph the inequality refer :
https://brainly.com/question/24372553
#SPJ13
100 POINTS TO ANSWER THIS PLZ HURRY
Answers
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Identify which one of the following is a formula unit:NaCl,H2O,HCl,HNO3
Answers
Based on the definition of the formula unit, the only one that is an example of this concept is NaCl.
What is a formula unit?In chemistry, this concept refers to the representation of an ionic compound. This formula differs from others because it displays the lowest possible ratio in which the ions have the same charges and therefore the compound is neutral.
What is one example of this formula?A classical example of this concept is NaCl because this includes a cation (positively charged) and an anion (negatively charged). Moreover, in this formula, the compound shows the lowest possible ratio between the two elements.
Learn more about compounds in: https://brainly.com/question/13516179
Please Help!!
Lui says that you have to combine like terms when you multiply a monomial and a binomial. He gave the following example: 2x(3 - 5x) = 6x - 10x = -4x. Do you agree or disagree with Lui? Explain your reasoning.
Answers
You are given
2x(3 - 5x) = 6x - 10x = -4x.
Do you agree or disagree with Lui? Disagree, -4x is incorrect
Explain your reasoning.
When you distribute multiply 2x (3 - 5x)
2x * 3 and 2x * -5x = 6x - 10x^2
6x -10x^2 is your answer, you cannot simplify it any further because x and x^2 are not like terms
need help. cant solve this.susan has 5 pounds of flour. she is purchasing mor flour. She can purchase up to 4 more bags each bag = 20 pounds . She cant buy partial bags. ques. The function that models the number of pounds of flour she has is f(b)=20b+5, where b is the number of bags of flour she purchases.What is the partial domain of the function.a. all real numbersb.all intergers btn 1-5c 25, 45, 65,85,105d . all real numbers from 1- 5
Answers
Notice that Susan must buy at least 1 bag of flour, then:
\(b\ge1.\)Since she can purchase up to 4 more bags, then:
\(b\le5.\)Finally, we know that Susan cannot buy partial bags, then b is an integer greater than or equal to zero and smaller than or equal to 5.
Answer: {1,2,3,4,5}.
Option b.
Solve 7x + 4y = 8 for x
Answers
20% of 45
Help. Plzzzzzzzzzz
Answers
Use the diagram to answer the question that follows
What is the image of c under the translation described by the translation rule (x,y) (x+11, y-8)
○ D
○ B
○ E
○ A
Answers
The image of C under the translation described by this translation rule (x, y) → (x + 11, y - 8) is: (4, -6)
What is a translation?In Geometry, the translation of a geometric figure to the right simply means adding a digit (11) to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit (8) from the value on the y-coordinate (y-axis) of the pre-image.
Note: Each point on this graph represents 2 units.
Next, we would translate the image of C 11 units to right and 8 units down. Therefore, this transformation can be modeled by this translation rule:
(x, y) → (x + 11, y - 8)
Point at C = (-7, 2) → Point at C' = (-7 + 11, 2 - 8) = (4, -6)
Read more on translation here: brainly.com/question/16486008
#SPJ1
Question 10 of 32
1 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13
Answers
i thinhk is C DONT NOW
PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE POINTS IF ANSWER!
Answers
Answer:
76ft^3
Step-by-step explanation:
Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
Answers
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
Learn more on equations :https://brainly.com/question/2972832
#SPJ1
help please that is the question
Answers
Answer:
wait that is a activity, you gotta like paint a picture or something I guess
Answer:
have fun painting!! :)
Step-by-step explanation:
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
Answers
A minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns.
E.g the minor for a_11 is the matrix
1 1 3
1 1 0
0 -1 -2
The cofactor of an element is the minor but a factor, with that factor being (-1)^(i+j) where i and j are the row and column of the element
Please help me with the simplifying
Answers
The key here is to not worry too much and just follow PEMDAS.
Here we have the expression \((5\cdot 7)^2\). Following PEMDAS, we complete the expression inside the parentheses first, or \(5\cdot 7 = 35\). This gives us \((35)^2\) or just \(35^2.\)
Hope this helps.
What is the value of 5^4/5^6
1/25
1/5
5
25
Answers
Answer:
1/25
Step-by-step explanation:
5^4/5^6
Since we are dividing exponents with the same base, we subtract the exponents
5^( 4-6)
5^-2
We know that a^-b = 1/a^b
1/5^2
1/25
= 5^(4-6)
= 5^-2
= 1/5^2
= 1/25
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
Answers
The theoretical probability of spinning red is given as follows:
1/3.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:
2/6 = 1/3.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
