In the pythagorean theorem:
\(a^2+b^2=c^2\)a and b are the legs of the right triangle
c is the hypotenuse of the right triangle (opposite side to the right angle)
For the given triangle:
\(\begin{gathered} a=x \\ b=6 \\ c=8 \\ \\ x^2+6^2=8^2 \end{gathered}\)Use the equation above to solve x:
\(\begin{gathered} x^2+36=64 \\ x^2=64-36 \\ x^2=28 \\ x=\sqrt[]{28} \\ \\ x=5.3 \end{gathered}\)Then, the value of x is 5.3The circle below is centered at the point (-3, 4) and has a radius of length 3.
What is its equation?
-10
-5
5
Answer:
C. (x + 3)² + (y - 4)² = 9
Step-by-step explanation:
The equation for a circle is r² = (x - a)² + (y - b)² where "r" is the radius and (a, b) is the center.
We are given that (-3, 4) is the center and the radius is 3, so that means a = -3, b = 4, and r = 3. Insert the values to their respective places in the equation:
3² = (x - (-3))² + (y - 4)²
9 = (x + 3)² + (y - 4)²
Answer:
equation of a circle: (x-a)²+(y-b)²=r²
(x-(-3))²+(y-4)²=3²
(x+3)²+(y-4)²= 9
(x+6x+9)+(y-8y+16) =9
x+6x+9+y-8y+16=9
x+y+6x-8y+9+16-9=0
x+y+6x-8y+16 =0
Help is needed please????
Answer: let F(x)=y
y=2x+5
Step-by-step explanation:
plz answer this i will marku pleeeeeeeeeezz
Answer:
x= 105 also because it's a z angle
y= 180-105
=75
x=z which is 105, because they are alternative angles.
The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.
Z = 180-105 = 75 degrees
Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees
Angle y and 105 are supplementary angles and when added equal 180
Angle y is 180-105 = 75
X, y and z are all 75 degrees
how can patterns help me divide multiples of 10?
Express the solution graphically of 1/4 (x-3) ≤ -2
Answer:
Step-by-step explanation:
x = 5
Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .
Graph is attached below.
Given,
1/4 (x-3) ≤ -2
Now,
Inequality : 1/4 (x-3) ≤ -2
Solve for x,
x - 3 ≤ -8
Take -3 from LHS to RHS.
-3 will be converted to 3 in RHS .
x ≤ -8 + 3
x≤ -5
The value of x will be less than or equal to -5.
The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .
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A measuring tape is generally a more precise tool for measuring length than
having a person "step off" the distance.
A. True
B. False
Answer:
a
Step-by-step explanation:
a measuring tape is more precise than measuring by whatever the second method is.
как решить это уравнения,,×-3=6
Answer:
9
Step-by-step explanation:
Данный,
=> x - 3 = 6
=> x = 6 + 3
=> x = 9 (Отвечать)
the 7th grade fundraiser gives away a large container of gumballs to the student who is closest to guessing the correct number of gumballs in the container noticing that the container is a cube. Sally decides to count the number of gumballs along the length of one side if Sally get 729 gumballs how many gumballs did she count along one side of the container
If the container is a cube, every side is a square, so the length and the width are the same.
To get the number of gumballs based on the number of gumballs in one side, we can use the following equation
\(TotalGumballs=x^3\)Where x is the number of gumballs along one side. So, replacing the total by 729 and solving for x, we get:
\(\begin{gathered} 729=x^3 \\ \sqrt[3]{729}=x \\ 9=x \end{gathered}\)Answer: She counts 9 gumballs along one side of the container
What’s the answer pls
For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.
Answer:
ok keep going more questions cause ido t get it what u trying to ask
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
Solve for x.
10 cm
X
8 cm
X = = [?]°
Round to the nearest hundredth.
The value of the variable x is 51.340 degrees
How to determine the valueNote that their are six different trigonometric identities in mathematics.
These identities are;
sinecosinetangentcotangentsecantcosecantAlso, these identities have their different ratios, they are;
sin θ= opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
From the information given, we have that;
Opposite = 10cm
Adjacent = 8cm
Substitute the values
tan x = 10/8
Divide the value, we have;
tan x = 1.25
Find the tangent inverse, we get;
x = 51. 340 degrees
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A domino artist has 6 sets of 28 Domino’s.She arranges all the dominoes into four equal rows. How many dominoes are in each row?
The number of dominoes are in each row for the artist is 42 dominoes.
How to calculate the value?From the information, the domino artist has 6 sets of 28 Domino’s. The total Domino will be:
= Number of set × Amount in each set
= 6 × 28
= 168
Since she arranges all the dominoes into four equal rows. This will be:
= Total number / Rows
= 168 / 4
= 42
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6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
A rectangular field is 294 yards in length and 340 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre
Answer:
20.7 acres
Step-by-step explanation:
A=wl=340·294=99960
convert 99960 yards to acres
Formula
divide the area value by 4840
= 20.7 acres
3. Journalise the following transactions:
(i) Paid 2,000 in cash as wages on installation of a machine.
(ii) Sold goods to Mr. Chopra at a list price of ₹4,000. Sales
subject to 10% Trade Discount and 5% Cash discount if payment
is made immediately, Mr. Chopra availed of cash discount.
These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.
The solution for the journalizing of the given transactions can be found below:
Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.
Journal is the first place where every transaction is recorded systematically.
The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.
Transaction
(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction
(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.
This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)
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Hey guys can anyone help me find the missing side length pls and ty
\(\bold{\huge{\green{\underline{ Solution}}}}\)
\(\bold{\underline{ Given :- }}\)
We have given a right angled triangle whose values are m, n and 2\(\bold{\underline{ To \: Find :- }}\)
We have to find the value of m and n\(\bold{\underline{ Let's \: Begin :- }}\)
In the given right angled triangle, we have
Perpendicular height = n units Base = 2 unitsHypotenuse = m unitsNow, By using trigonometric ratios
\(\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}\)
\(\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}\)
\(\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}\)
According to the question :-
\(\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}\)
\(\bold{ 1/√2= }{\bold{\frac{2}{m}}}\)
\(\bold{\red{ m = 2√2 \: units }}\)
We know that , Sum of Angles of triangle is 180° .Therefore,
Let the unknown angle be x
\(\sf{ 45° + x + 90° = 180° }\)
\(\sf{ x = 180° - 135 ° }\)
\(\sf{ x = 45° }\)
Now,
\(\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}\)
\(\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}\)
\(\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}\)
\(\bold { n = 2√2/√2 }\)
\(\bold{\red{ n = 2\: units }}\)
Thus, The value of m = 2√2 and n = 2
\(\sf{\blue{ Hence, \: option \: D \: is \: Correct }}\)
Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
Answer: Sue fills 32/3 (Decimal form = 10.6667 containers)
Step-by-step explanation: 8 divided by 3/4 equals 32/3. If you need it in decimal form it's 10.6667
Please heart this or rate it :)
Answer:
10 2/3 containers BUT can only fully fill 10 containers
Step-by-step explanation:
to solve this equation you need to divide 8 by 3/4
8 / 3/4
that is
8/1 / 3/4
when dividing fractions you must flip the second number and multiply both numbers together
8/1 * 4/3
32/3 is your answer
or
10 2/3
she can fully fill 10 containers
Part A
Is there a transformation that maps shape l onto shape ll?explain your answer.
Part B
Is there a transformation that maps shape l onto shape lll? Explain you answer.
Part C
Is there a transformation that maps shape l into shape lV? Explain your answer.
Part D
Is there a transformation that maps shape l onto shape V? Explain your answer.
(Plzzz someone help with this)
Answer:
Step-by-step explanation:
A). Yes. If we rotate shape I by 90° clockwise about the origin shape I will overlap shape II.
Coordinates of one point of figure I are A(-1, 3).
After rotation 90° clockwise,
(x, y) → (y, -x)
Following this rule,
A(-1, 3) → A'(3, 1)
It clearly states that figure I will overlap figure II.
B). No. because length of the quadrilateral I is different from the length of the quadrilateral given in figure III while width are same.
Both are different quadrilaterals.
C). Yes. If the figure I is reflected over x-axis, we get figure III.
D). Yes. By the translation of figure I by 3 units right and 4 units down we get image figure V.
Rule followed for the translation,
(x, y) → (x+3, y-4)
The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches. What is the surface area, in square inches, of the prism?
The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.
What is the surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The surface area of this rectangular prism = 2( lb + bh + hl)
The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.
The surface area of this rectangular prism = 2( lb + bh + hl)
= 2( 26 x 10 + 10 x 8 + 26 x 8)
= 2(260 + 80 + 208)
= 2 x 548
= 1096
Thus, The surface area of this rectangular prism is 1096 square inches.
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Which of the binomials below is a factor of this trinomial?
x^2 + 8x + 16
A. x + 4
B. x - 4
C. x + 8
D. x - 8
The answer is A.
Pick A.
Good luck
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
Select the true statement.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
Find f(-2) for f(x)=3x^2-8x+7
Answer:
f(-2) = 35
Step-by-step explanation:
Let x = -2.
\(3(-2)^2-8(-2)+7\\\\12+16+7\\\\35\)
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
To solve this problem, we can use the concept of "work rates."
Let's find out how much work Fran and Denise can do individually in one hour.
If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).
Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).
When they work together, their work rates are additive.
So, their combined work rate would be:
\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)
\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)
\(=\frac{7}{24} room/hour\)
This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.
To determine the total time required for them to paint the entire room, we can invert their combined work rate:
\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)
Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
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Select the correct answer.
Answer:it might be A
a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries
Answer:600
Step-by-step explanation:
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
What time would be written as 17:45 on the 24-hour clock?
5:45 p.m.
5:45 a.m.
7:45 p.m.
7:45 a.m
Answer:
5:45
Step-by-step explanation:
Answer:
5:45 p.m.
If you look when the time goes past 12:00 p.m. it can go to 24 hour clock and if you count 17 is 5.