Answer:
The determinant of the identity matrix In is always 1, and its trace is equal to n.
Step-by-step explanation: that determinant is equal to the determinant of an N minus 1 by n minus 1 identity matrix which then would have n minus 1 ones down its diagonal and zeros off its diagonal.
I just need help understanding how to calculate for the angles and sides because my teacher is absent when I need help the most. Anything is much appreciated
Answer:
I will give you the best knowledge I can offer at this moment.
One thing to understand:
- When dealing with angles in a triangle, know that EVERY angle has to add up to 180*. ( * = degrees)
Based on the image provided, I'm assuming that you are learning how to classify triangles based on the angles and side lengths. There are mainly 6 types of triangles:
3 based on sides
3 based on angles
The 3 based on sides
Scalene Triangle
A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.
Isosceles Triangle
In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.
Equilateral Triangle
In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.
The 3 based on angles
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees.
I hope this information helps with your math class and studies!
Find a formula for the nth term in this
arithmetic sequence:
a1 = -7, 22 = -1, a3 = 5, 24 = 11, ...
Answer:
[tex]a_n=6n-13[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences can be identified because each term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Here a1 is the first term and r is the common difference.
The given sequence is:
[tex]a_1=-7, a_2=-1,a_3=5,a_4=11,...[/tex]
We can find the common difference by subtracting successive terms:
[tex]a_2-a_1=-1+7=6[/tex]
[tex]a_3-a_2=5+1=6[/tex]
[tex]a_4-a_3=11-5=6[/tex]
Since all the differences are equal, r=6. Thus, the general term is:
[tex]a_n=-7+6(n-1)[/tex]
Operating:
[tex]a_n=-7+6n-6[/tex]
[tex]a_n=6n-13[/tex]
The nth term is:
[tex]\mathbf{a_n=6n-13}[/tex]
Last quarter, 84 seventh grade students made honor rolls. if there are 400 students in the seventh grade, what percent made honor rolls.
Point p is located in the first quadrant of a coordinate plane.If p is reflected across to form p',choose the four statements that will always be true.
Answer:
When we do a reflection of a point (x, y) about a given line, the distance between the point (x, y) and the line is invariant under the transformation.
In the case of reflection over x-axis we have:
T (x, y) => (x, -y)
In the case of reflection over the y-axis, we have:
T (x, y) => (-x, y)
Because these two lines are perpendicular, a reflection over the x-axis leaves the distance between the point and the y-axis invariant (and the same for the inverse case)
Then 4 statements that will always be true:
1) The distance between p' and the x-axis is the same as the distance between p and the x-axis.
2) The distance between p' and the y-axis is the same as the distance between p and the y-axis.
From 1 and 2, we get:
3) The distance between p' and the origin is the same as the distance between p and the origin.
4) As we have a reflection, p' can not be in the same quadrant than p, then p' can not lie on the first quadrant.
Solve for x
X=
Please explain how you got the answer.
Answer:
x = 8
Step-by-step explanation:
(please verify) if line segment LM is congruent to line segment PN; then
9x - 25 = 5x + 7; subtract 5x from both sides
4x - 25 = 7; add 25 to both sides
4x = 32; divide by 4
x = 8
Answer:
x=8
Step-by-step explanation:
look at the picture for the work.
A.CED. A1
Simone, Teresa, Jesse, Aricka, and Leon are working together to write a quadratic function to represent a parabola that opens downward and has a vertex of (-3, 5).
Simone: LaTeX: s\left(x\right)=-3\left(x-3\right)^2+5
s
(
x
)
=
−
3
(
x
−
3
)
2
+
5
Teresa: LaTeX: t\left(x\right)=-\frac{1}{4}\left(x+3\right)^2_{ }+5
t
(
x
)
=
−
1
4
(
x
+
3
)
2
+
5
Jesse: LaTeX: j\left(x\right)=-3\left(x+3\right)^2+5
j
(
x
)
=
−
3
(
x
+
3
)
2
+
5
Aricka: LaTeX: d\left(x\right)=\left(x+3\right)^2+5
d
(
x
)
=
(
x
+
3
)
2
+
5
Leon: LaTeX: z\left(x\right)=-2\left(x-3\right)^2+5
z
(
x
)
=
−
2
(
x
−
3
)
2
+
5
Select the correct functions.
Group of answer choices
Simone
Aricka
Teresa
Leon
Jesse
None of these
Answer:
none of these are correct
The Brown family is on their way home from a cross-country road trip. During the
trip, the function D(t) = 3,500 - 20t can be used to represent their distance, in
miles, from home after t hours of driving.
What is the value of D(15)?
3200
3465
-3200
174.25
Answer:
Step-by-step explanation:
D(15) = 3500 -20(15)
D(15) = 3500 - 300
D(15) = 3200
In 15 hours of driving the Brown family is 3200(no unit given) away from home.
(50 points) If the area of the rectangle shown is 88 square inches, which equation could be used to find the value of x?
Answer:
x=3
Step-by-step explanation:
Perfume is sold in 2 different sized bottles. The 80ml is priced at £55 and 100ml is £67.50. By finding the the price per ml, determine which one is best value for money.
Answer:
The best value for money is the perfume that has a 100 ml bottle because the price per ml is lower.
Step-by-step explanation:
To find which one is the best value for money, you need to find the price per ml in each case by dividing the price by the amount of ml:
-80 ml: 55/80=0.687
-100 ml: 67.50/100=0.675
According to this, the answer is that the best value for money is the 100 ml bottle because the price per ml is lower with £0.675 per ml and the 80 ml bottle has a price of £0.687 per ml.
PLEASE HELP ME RIGHT ANSWERS ONLY Your gas-powered weed trimer has a tank that holds 0.72 gallons. If you burn 0.13 gallons every time you trim around your house, how many times can you trim the weeds without refilling the tank?
Answer:
5 times
Step-by-step explanation:
The tank holds 0.72 gallons, and burn 13 gallons every time. Which means 0.72 divided by 0.13 would be the amount of times you would trim the weeds without refilling the tank. Which in this case the answer is 5.538... so if you round it u would get 5.
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Tip #1: Find the right string trimmer for you.
A few different string trimmers exist to meet the needs of you and your lawn:
Electric string trimmers tend to use lithium-ion batteries at 40 to 80 volts and are clean, quiet, and light. The uncorded versions add mobility to your work; however, corded electric string trimmers don’t require recharge time and are lighter.
Gas string trimmers use gas engines that provide more power than their electric counterparts. These trimmers are cordless and mobile, but you must regularly refuel for continued use. Some gas trimmers require a pull-start to crank, while other models come with an automatic crank.
String trimmer mowers, or walk-behind trimmers, resemble traditional lawnmowers without the size or the spinning blade. String trimmer mowers offer an in-between range for those lawn sections too big or too small for conventional mowers and trimmers.
Tip #2: Take safety precautions when using your string trimmer.
Like lawnmowers, string trimmers use a spinning motion to cut grass and thin wooden plants. For example, trimmers cutting in a counter clockwise spin will eject cut debris in a leftward direction.
Acknowledge the direction of your string trimmer’s spin and position yourself appropriately to avoid harmful debris hitting your body, like rock, glass, plastic, or any other small objects that can go flying when hit by the trimmer’s filament line. Additionally, keep children and pets indoors, or otherwise keep them and others on the opposite side of the eject direction.
Tip #3: Take advantage of spin direction when using your string trimmer.
Though you must heed the spin direction of your string trimmer for safety, the spin direction also commands the best use of your string trimmer. Ensure that your string trimmer ejects material away from your cut path to avoid working over piles of cut material, which drastically reduces the efficiency of your tool and encourages an uneven lawn trimming.
Tip #4: Use a cutting technique that fits the circumstance of your yard.
You accomplish a well-trimmed lawn by handling your string trimmer with precision. String trimmers seem clunky at best, but you can use a few different techniques to get that even cut you want. Mark Clement from Popular Mechanics suggests these methods:
Tapering: To cut along the boundaries of your lawn, angle the string trimmer so that the line cuts somewhat at an angle. You get your best cut toward the tip of the line, Clement explains, so tilting the trimmer slightly down helps cut smaller, more manageable portions while allowing the line to strike at its strongest point.
Edging: This method is useful when you need to cut grass at the edge of a parallel surface, such as a driveway or sidewalk. Instead of tilting the trimmer down, hold the tool so that the line cuts vertically. Clement notes that edging may uproot rocks and dirt and suggests easing these portions of your lawn into the right cut over time if you haven’t edged before.
Scything: Gently swing your string trimmer in a U-shaped pattern to navigate a difficult or obstructed area of the lawn. This method provides manageable trimming, and by overlapping the pattern, you’ll get the even cut you want.
Screeding: Clement explains that this method of using your string trimmer helps cut grass and weeds growing out of sidewalks, driveways, and other paved areas. Angle your string trimmer so that the line tip is hitting the pavement but the rest is slicing close to the base of the weed or grass.
Tip #5: Take care of your string trimmer.
Not unlike other tools, maintaining your string trimmer will keep it operable for years to come. After every use, wipe off grass and dirt debris from the line or replace it when necessary. String replacement is common, especially if you are using your string trimmer frequently. For gas-powered string trimmers, replace the spark plug every three to four months. Finally, empty the gas tank of the trimmer before long-term storage.
If you buy the right string trimmer for your needs, keep it properly maintained, and remember cutting direction for safety and a good cut, you’ll be using your string trimmer like a pro in no time.
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2.3 Practice Part
Solve each system using the substitution method
1) y = 4x + 10
y = 3x + 7
Answer:
34
4x+10=14
3x+7=10
10×+4
34
Y=2x-7 2x+y=5 solve the system
Answer:
x=3 y=-1
Step-by-step explanation:
y=2x-7
2x+y=5
___________________
2x+2x-7=5
4x-7=5
4x=12
x=3
___________________
2(3)-7=y
6-7=y
-1=y
solve for n. 9n + 120 = 336
Answer:
the answer is n=24
Step-by-step explanation:
hope this helps :)
Answer:
n=24
Step-by-step explanation:
9n+120=336
9n=216
n=24
A six-sided die is rolled. What is the probability of rolling a three or six
Answer:
The probability is 1/6 for each side. Each side has a 1/6 chance of getting rolled.
It would be 2/6 if your trying to get either 3 or 6 because there's two sides you can get which would equal 2/6.
Step-by-step explanation:
I hope this helped, have a nice day!
The probability of rolling a three or six is 2/6
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes.
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
probability of getting 2= 1/6
probability of getting 6 = 1/6
So, the probability of rolling a three or six
=1/6 + 1/6
=2/6
=1/3
Hence, probability of rolling a three or six is 1/3.
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Which statement describes the system of equations?
-5x - 4y = -4
25x + 20 = 20
a. it has one solution (4, –4).
b. it has one solution (8, –9).
c. The system has no solution.
d. The system has infinitely solutions.
(help me plz)
Answer: i think c
Step-by-step explanation:
Solve the right triangle ABC (round to the nearest tenth):
angle B =
a =
b =
Answer: angle B= 54 degrees, a=6, b=8
Step-by-step explanation:
Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.
We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).
Answer:
Angle B = 54 degrees, a= 5.88 or round it to 6 and b=8.09 or round it to 8
Step-by-step explanation:
Angle B:
A right angle triangle always equals 180 degrees, and the right angle (the corner) equals 90 degrees.
B = 180 degrees - 90 degrees - 36 degrees
B = 54 degrees
a:
a = 10 sin 36 degrees
a = 5.88 or rounded to 6
b:
b = 10 cos 36 degrees
b = 8.09 or rounded to 8
what is the next fraction in this sequence?
8/12, 7/12, 6/12, 5/12...
please help I'm not sure if it's 4/12 or 1/3
Answer:
4/12
Step-by-step explanation:
if you look 6/12 wasn't simplified so I would guess that you would leave it as 4/12
9. The difference between two numbers is 24. Find the numbers if their
sum is 88.
Answer:
The numbers are 56 and 32
Step-by-step explanation:
Let the two numbers be x and y
x - y = 24
x = 24 + y --- ( 1 )
x + y = 88 --- ( 2 )
Substitute ( 1 ) into ( 2 ):
24 + y + y = 88
2y = 88 - 24
2y = 64
y = 32
Substitute y = 32 into ( 1 ):
x = 24 + 32
x = 56
What is the coefficient of the term 6xy ?
Answer:
6
Step-by-step explanation:
coefficient is 6
A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales increased 10%.
What were the outlet's sales for the month of March?
a. $44,550
b. $49,500
c. $40,500
Step-by-step explanation:
$44,550
HELP ILL GIVE BRAINLIEST
Answer:
1 ml per C
Step-by-step explanation:
Each equation has the same rate as well
Jesus is the son, the spirit, and the Living of God.
Answer:
Yes he is the son and the Living God
Answer:
factsssssssssssssssss
In October they recorded income of $200 and the cost of new supplies of
$125. What was their account balance after October? *
can you guys hurry pls I only have 20 more minutes
what is 0.0001 to a power of 10.
Answer: 10^-4
Step-by-step explanation:
Hi! I believe your answer is 1×[tex]10^{-40}[/tex], or 0.00000000000000000000000000000000000000001
I hope this helps you! Good luck and have a great day/night. ❤️✨
Is 0.75 greater than 7/8
Answer:
no. 7/8> 0.75
Step-by-step explanation:
7/8 as a decimal is 0.875, which is greater than 0.75
Answer:
false
Step-by-step explanation:
7/8 is greater than 0.75
What is the value of the missing exponent in the equation 0.583 X 10 = 583 ?
0 1
O 2
O 3
04
Answer:
3
Step-by-step explanation:
0.583 times 10 to the power of 3 moves the decimal point 3 places to the right to make it 583
PLZ HELP ME !!! PLZ. What is N for silicon tetrachloride, SiCl4?
Answer:
what is n for silicon tetrachloride sicl4. Answer A. Chemical Engineering Q&A Library 30.10 Silicon tetrachloride, SiCl4, is an important chemical used in the manufacture of microelectronic devices. It is usually 8 for most atoms but 2 for hydrogen and heliumA is the number of valence electrons. NO.
Hope this helped
Silicon tetrachloride (SiCl4) is indeed an inorganic compound with the chemical formula SiCl4 that appears as a colorless liquid with a foul smell. It reacts with water, producing white solid silicon dioxide and HCl gas. It's soluble in water.
It erodes both flesh and metal. It is used in the commercial production of high-quality silica. It has high purity and is utilized in the production of optical fibers.In benzene, toluene, and water, it dissolves.It comes in the form of a whitish fuming liquid.This has a melting point of 68.74 degrees Celsius and a boiling point of 57.65 degrees Celsius.The crystal structure is tetrahedral.SiCl4 has a coordination geometry of 4.Learn more:
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Hunter and his children went into a movie theater and will buy bags of popcorn and drinks. Each bag of popcorn costs $5.50 and each drink costs $6. Hunter has a total of $80 to spend on bags of popcorn and drinks. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of drinks purchased, d.d.
Answer:
he can buy 14 popcorn which will equal to have left 3 dollars
if he wants to spend all his money it will be
10 drinks and 12 popcorn
Step-by-step explanation:
6.3952 rounded to the nearest tenth
The decimal number 6.3952 rounded to the nearest tenth is 6.40.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, A decimal number 6.3952 and we have to round to the nearest tenth.
To round it to the nearest ten we'll look at the digit at the hundreds place which is 5 so we'll add one to the tens digit and make the digits after that zero.
Therefore, 6.3952 rounded to the nearest is 6.40.
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