Samantha is installing a new window in her bedroom wall. She wants to center it horizontally. the window is 40.5 inches long, and the wall is 105.25 inches long. how far from each edge of the wall should Samantha install the window?
To center the window horizontally on a wall, subtract the window's length from the wall's length and divide by two. Samantha should install the window 32.375 inches from each edge of the wall.
The student is trying to determine how far from each edge of the wall she should install the window to center it horizontally. To find this, we calculate the difference between the wall's length and the window's length and then divide that number by two. The wall is 105.25 inches long, and the window is 40.5 inches long.
To center the window horizontally, we do the following calculation:
(Length of wall - Length of window) / 2
(105.25 inches - 40.5 inches) / 2
64.75 inches / 2
= 32.375 inches.
Therefore, Samantha should install the window 32.375 inches from each edge of the wall to center it horizontally. This calculation ensures the window is positioned equally from both sides of the wall, assuming the wall is straight and the measurements are accurate.
A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground. Write the equation in point-slope form that models the situation. Then, find the height of the plane after 8 seconds.
Use the law of cosines to explain why c^2=a^2+b^2 for triangle ABC, where angle C is a right angle.
14/40 in simplest form
What is 20/50 reduced to a smaller fraction?
there are 3 black marbles in and 4 red marbles in a bag. what is the probability that you will pick two black marbles put of the bag without replacing the first one?
[tex] |\Omega|=7\cdot6=42\\
|A|=3\cdot2=6\\\\
P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\% [/tex]
If the spinner is spun 100 times, how many times would you expect it to land in region E? Explain.
how do I find the area of this shape
The price of a stock had a change of –3 dollars.
Explain how you would use a number line to find the absolute value of –3
Hello! The answer to your question is: Draw out a horizontal line. Place 0 at the center. Then place evenly spaced tick marks on either side of 0. Label the right side of tick marks as 1, 2, 3, moving from 0 and going to the right
Label the left side of tick marks -1, -2, -3, starting at 0 and moving left
The location -3 on the number line is exactly 3 units away from 0. We start at 0 and move to -3 by moving 3 spots to the left; or we start at -3 and move 3 units to the right to get to 0.
Therefore, the absolute value of -3 is 3
Absolute value on a number line is the distance a number is from 0
The distance is never negative.
Hope this helped!
rachel uses grid paper to plan a mural to paint at her school. the design will be made of two connected rectangles. the larger rectangle will have an area between 35 square feet and 45 square feet. the smaller rectanglewill have an area between 10 square feet and 20 square feet. Draw and label a diagram to show what Rachel could plan. Explain how to find the total area.
Finding theoretical probability throwing a dart in a 3x3 yellow square that is centered inside a 6x6 blue square
solve the equation for a
w=7a+4b
The linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
To solve the equation for "a" in terms of "w" and "b," we can follow these steps:
Step 1: Start with the equation:
w = 7a + 4b
Step 2: Isolate the term with "a" on one side of the equation. To do this, subtract 4b from both sides:
w - 4b = 7a
Step 3: Divide both sides of the equation by 7 to solve for "a":
(w - 4b) / 7 = a
Step 4: Simplify the expression:
a = (w - 4b) / 7
Therefore, the linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
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Which of the following equations represent a proportional relationship
a: y=12.5x
b: y= 4x-1
c: x+y=3
d: y=3x (squared)
what is the relationship of 7 and -7
how many lines of symmetry does the flag of Iraq have
Final answer:
The flag of Iraq has no lines of symmetry due to its horizontal stripes of different colors and the specific orientation of the Arabic Kufic script of the Takbir written in the center.
Explanation:
The question about how many lines of symmetry the flag of Iraq has can be classified as a question in the field of mathematics, particularly in the study of geometry. Symmetry in flags can pertain to reflections across certain lines where the flag is indistinguishable from its mirror image.
As of my knowledge update, the flag of Iraq consists of three horizontal stripes of red, white, and black, with the Takbir ('Allahu Akbar') written in the center in green Kufic script. As the script introduces a specific orientation and the colors do not symmetrically repeat, the flag does not have horizontal or vertical lines of symmetry. The presence of textual elements disrupts potential symmetry, considering the particular way letters must be oriented to be readable. Hence, the flag of Iraq does not have any lines of symmetry.
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number. Please help me
Nich has a collection of books. He has 115 fantasy and science fiction books. These books are 46% of his collection. How many books does he have in his collection
sector area definition
A sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
Explanation:In mathematics, a sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
For example, if we have a sector with a radius of 5 units and a central angle of π/3 radians (60 degrees), we can calculate the area as follows:
Find the area of the whole circle with radius 5: A = π(5)^2 = 25π square unitsCalculate the fraction of the circle represented by the sector: Fraction of circle = π/3 / (2π) = 1/6Multiply the area of the whole circle by the fraction of the circle represented by the sector: Area of sector = (1/6) * 25π = (25/6)π square unitsLearn more about Sector area definition here:https://brainly.com/question/29055300
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plzzzz help!!!!!!!!!!!!!
Answer:
x + 2 is in both the numerator and the denominator, so the correct answer is A.
if 3x - 14 equals 2x + 10 what is 3x - 14
In the equation 3x - 14 = 2x + 10, the solution for x is 24. Substituting x = 24 into the expression 3x - 14 gives a result of 58. Therefore, the value of 3x - 14 under these conditions is 58.
Explanation:The student's question introduces an equation where two expressions are set equal to each other: 3x - 14 and 2x + 10. To find the value of 3x - 14, we first need to solve this equation for x.
To do so, we subtract 2x from both sides to get x - 14 = 10. We then add 14 to both sides to get x = 24. Thus, the value for 'x' that makes the two expressions equal is 24. Substituting 'x' into 3x - 14 gives us 3*24 - 14, which calculates to be 58.
Therefore, the value of 3x - 14 when 3x - 14 equals 2x + 10 is 58.
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A gardener determines the cost of planting daffodil bulbs to be $2.40 per square foot. How much will it cost to plant daffodil bulbs in a rectanglular garden that is 12 feet longand 5 feet wide?
A)$40.80
B)$60
C)$144
D)$81.60
The required cost to plant daffodil bulbs in a rectangular garden is $144 .
Given that,
A gardener determines the cost of planting daffodil bulbs to be $2.40 per square foot.
To determine the cost to plant daffodil bulbs in a rectangular garden that is 12 feet long and 5 feet wide.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Here,
The area of the rectangular garden = 12 * 5
= 60 ft²
cost of planting daffodil bulbs = 2.40 * 60
= $144
Thus, the required cost to plant daffodil bulbs in a rectangular garden is $144.
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Change this decimal to a fraction
The repeating decimal [tex]\(0.1 \overline{23}\)[/tex] is equivalent to the fraction [tex]\(\frac{611}{5000}\)[/tex].
To convert the repeating decimal [tex]\(0.1 \overline{23}\)[/tex] to a fraction, let's denote it as x:
[tex]\[ x = 0.1 \overline{23} \][/tex]
Now, we can manipulate the decimal to eliminate the repeating part. Multiply both sides of the equation by an appropriate power of 10 to shift the decimal:
[tex]\[ 100x = 12.323232\ldots \][/tex]
Now, subtract the original equation from the manipulated equation to eliminate the repeating part:
[tex]\[ 100x - x = 12.323232\ldots - 0.1 \overline{23} \][/tex]
Simplify:
[tex]\[ 99x = 12.22 \][/tex]
Now, solve for x:
[tex]\[ x = \frac{12.22}{99} \][/tex]
To simplify the fraction, find the greatest common divisor (GCD) of 12.22 and 99, which is 1. Divide both the numerator and denominator by the GCD:
[tex]\[ x = \frac{12.22}{99} = \frac{611}{5000} \][/tex]
So, [tex]\(0.1 \overline{23}\)[/tex] as a fraction is [tex]\(\frac{611}{5000}\)[/tex].
Help ASAP..........idk what to do
What is the simplest form of the expression -2x^2(x+5)+x(2x^2-10x)+x
Answer:
x
Step-by-step explanation:
-2x^2(x-5)+x(2x^2-10x)+x
Distribute-2x^2 through parentheses
-2x^3+10x^2+(2x^2-10x)+x
Distribute x through parentheses
-2x^3+10x^2+2x^3-10x^2+x
Eliminate the opposites
-2x^3+2x^3=0 and 10x^2-10x^2=0 both sets of opposites cancel each other out, which leaves us with just x remaining.
The simplest form of of the expression is x.
Can someone please help me with this?
A rectangle has vertices at these coordinates
. (−6, 10), (−6, 1),(1, 10)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
( , )
Answer:in knew it but i forgot
Step-by-step explanation:
A chief had 6 cups of berries and will use 2/3 cup of berries for each serving of fruit salad. How many servings can be made ?
If 60 of the 200 students are girls, then what percent of the students are girls?
Alexis said the area of 1/3 of the trapezoid is greater than the area of 1/6 of the hexagon because 1/3 >1/6. does her statement make sense?
Alexis's comparison of fractions does not suffice to determine which shape's fractional area is greater without knowing the total areas of the trapezoid and hexagon. The areas of shapes are calculated differently and must be considered before applying fractional parts to compare.
Alexis's statement does not necessarily make sense because the comparison she is making is only between the fractions
1/3 and 1/6, not the actual areas of the shapes. The area of a fraction of a shape depends on the total area of that shape. Therefore, without knowing the specific areas of the trapezoid and hexagon, we cannot conclude that
1/3 of the trapezoid has a greater area than 1/6 of the hexagon simply because 1/3 is greater than 1/6. To correctly compare the areas, one would need to know the total area of both shapes before fractions are applied.
Furthermore, when discussing the properties of shapes and areas, it is important to remember that the area of a trapezoid is calculated differently from the area of a hexagon. The area of a trapezoid is the average of the two bases multiplied by the height, whereas the area of a regular hexagon can be found by dividing it into equilateral triangles and calculating the area of those. Thus, the total area of each shape before fractions are considered plays a crucial role in determining if Alexis's statement is true or false.
Write an inequality to represent this situation: The temperature stayed above -15 degrees.