ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?
Breanna sold 1,200 Of Clothes At The dress shop and earned a commission of $210. What is her commission percent?
Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer
Use the appropriate property of determinants to find
a.a. do not evaluate the determinants.
The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.
Explanation:Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.
When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.
each side of a square shaped room is 7 ft long what is the rooms area
Chris bought n packs of pencils. Each pack has 10 pencils. Write an equation to represent the total number of pencils p that Chris bought.
Work out the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answer: y=3x+6
Step-by-step explanation: use y=mx+c
Consider the quadratic equation y^2-y=6. What is the error with the solution below?
The error in the given solution to the quadratic equation y²-y=6 is identified and corrected step by step.
In the given quadratic equation y²-y=6, the mistake in the solution provided is the incorrect manipulation of the equation. To find the correct solution, follow these steps:
Re-write the equation as y² - y - 6 = 0.
Factor the quadratic equation as (y - 3)(y + 2) = 0.
Solve for y by setting each factor to zero: y = 3 or y = -2.
The annual interest rate on a loan is 10% which can be represented using the expression 1.10t. Write an expression that represents the quarterly interest rate.
simplify -1/2x+3-4x+5+3/2x
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Appliances are selling at 101.294. If all of the bonds mentioned have a par value of $1,000 apiece, how much will it cost George to purchase one from each corporation? a. $3,051.28 b. $3,000.00 c. $3,305.12 d. $2,694.88
Answer:
A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE
Step-by-step explanation:
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Help with this math question please
Marco drew 24 pictures he drew 1/6 of them in art class how many pictures did marco draw in art class
Find an equation for the contour of f(x,y)=2x2y+7x+20f(x,y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).
A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation
The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
The given parameters are:
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{(x,y) = (3,-2)}[/tex]
Recall that:
[tex]\mathbf{f(x, y) = c}[/tex]
Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate exponents
[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate the products
[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]
[tex]\mathbf{f(3,-2) = 5}[/tex]
Replace 3 and -2, with x and y
[tex]\mathbf{f(x,y) = 5}[/tex]
Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]
Collect like terms
[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]
[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
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Please help with this multiple choice question ?
At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 23 knots and ship b is sailing north at 17 knots. how fast (in knots) is the distance between the ships changing at 4 pm?
The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.
Explanation:To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.
Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.
What will it cost to carpet a rectangular floor measuring 21 feet by 24 feet if the carpet costs $ 31.96 per square yard?
6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)
Solution:
we are given that
6 students share 4 bagels equally.
we have been asked to find that
How many pieces does each person get?
Here we will have to use the concept of division. Because we are dividing bagels among the students.
So To get the number of pieces each will get divide 6 by 4.
Number of Pieces for each boys [tex] =\frac{6}{4}=\frac{3}{2}=1\frac{1}{2} \\ [/tex]
A rectangular kitchen floor measures 18 feet by 15 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator?
Number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
Given that, a rectangular kitchen floor measures 18 feet by 15 feet.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Area of a rectangular kitchen floor
= 18×15
= 270 square feet
Area covered by a stove
= 3×4
= 12 square feet
Area covered by a refrigerator
= 4×5
= 20 square feet
Area covered by tiles
= 270-(12+20)
= 270-32
= 238 square feet
Therefore, number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
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The sum of y and 3 is greater than 7 what is an inequality that can represent the phrase
a loan of $940 was repaid at the end of 12 months with a check of $960 What annual rate of interest was changed
Convert the following decimal to a common fraction. Reduce to lowest terms 0.2 =
A stock had returns of 11 percent, -18 percent, -21 percent, 20 percent, and 34 percent over the past five years. what is the standard deviation of these returns?
a. 18.74 percent
b. 20.21 percent
c. 20.68 percent
d. 24.01 percent
e. 23.49 percent
The standard deviation of the returns is 21.5 percent.
Explanation:To calculate the standard deviation of the returns, we need to follow these steps:
Calculate the mean of the returnsSubtract the mean from each return to find the deviationsSquare the deviationsCalculate the mean of the squared deviationsTake the square root of the mean of the squared deviationsLet's perform these steps:
The mean of the returns is (11 - 18 - 21 + 20 + 34) / 5 = 5.2 percentThe deviations are (11 - 5.2) = 5.8, (-18 - 5.2) = -23.2, (-21 - 5.2) = -26.2, (20 - 5.2) = 14.8, (34 - 5.2) = 28.8 percentThe squared deviations are 33.64, 538.24, 685.44, 219.04, 829.44 percent squaredThe mean of the squared deviations is (33.64 + 538.24 + 685.44 + 219.04 + 829.44) / 5 = 461.96 percent squaredThe square root of the mean of the squared deviations is sqrt(461.96) = 21.5 percentTherefore, the standard deviation of the returns is 21.5 percent.
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
If x is the measure in degrees of each of the acute angles, then each of the larger angles measures 2x degrees. Since the number of degrees in the sum of the interior angles of an n-gon is 180(n-2), we have
x+x+2x+2x+2x=540 ⇒ 8x = 540 ⇒ x=135/2.
The large angles each measure 2x=135 degrees.
A farmer has harvested 60% of his crops. If he has harvested 72 acres, how many acres does the farmer have in all?
Answer:
120 Acres
Step-by-step explanation:
We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.
The farmer has 120 acres in total.
We know that the 60% of the farmer crops is equivalent to 72 acres.
Now we want to find the 100%.
Then we write two equations:
100% = X
60% = 72 acres
Now we want to solve this for X.
To do it, we first take the quotient between the two equations:
100%/60% = X/(72 acres)
Now we solve this for X:
(100%/60%)*(72 acres) = X = 120 acres.
The farmer has 120 acres in total.
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if the numbers 1 2 3 4 5 are to be used in a five number code how many different codes are possible if reputitions are not permitted
The walking distance from the Empire State Building in New York City to Times Square is about 9/10 mile. The walking distance from the Empire State Building into sues hotel is 8 times as far
Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Step-by-step explanation:
Since we have given that
Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]
According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.
So, Walking distance from the Empire State Building into Sues Hotel is given by
[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]
Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Question 30 Unsaved
What is the net force acting on a golf car traveling at a constant speed of 5 mph?
0 N
10 N
5 N
15 N
find the lengths of all four sides : P (2,2), Q (1,-3),R (-4,2),S (-3,7)
Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1
Step-by-step explanation:
Explain what equivalent fractions are and give an example.