Answer:
1440°
Step-by-step explanation:
(n - 2)180° - (10 - 2)180° = 8(180°) = 1440°
Answer:
1440 degrees
Step-by-step explanation:
formula for calculating sum of angles in a polygon is (n-2) 180 where n is 10 that's 10-2 which is 8 and 8 * 180 which is 1440
The value of X is 36 degrees less than the value of y. Find the values of X and Y!!
Answer:
x=72, y=108
Step-by-step explanation:
y-36=x
[tex]\left \{ {{y-x=36} \atop {y+x=180}} \right.[/tex]
⇒ 2y=216
y=108108-36=x
x=72Adding both
2x=144=>x=72Put in eq(1)
y=180-72=108°Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Liabilities are recorded when owed.
The correct option is D.
What is liability?A liability is anything that a firm or person owes, usually a debt. With the transmission of economic benefits like money, products, or services, liabilities are eventually.
Given
Statement about liability
They are recorded when owed is true.
Liability, when owed by a company, is recorded on the balance sheet, liabilities include everything owed by the firm.
Different forms of liability are loans, rents, payable accounts, unsettled revenues, bonds, etc.
Hence, True statement about liabilities is that they are recorded when owed.
Learn more about liability here:
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Whats the solution to x- 2/3 > 1/4?
Moving 2/3 to the other side, we get
x>1/4+2/3
Simplifying,
x>11/12
Find the values of p for which the quadratic equation 4x2 + px + 3 = 0 has equal roots.
Answer:
Step-by-step explanation:
You need to concern yourself with the +3. That will determine what the equal roots are.
(2x + √3)^2
Now expand this to see what p is. (Kind of a nasty question if you ask me).
4x^2 + 2x*√3 + (√3)^2
4x^2 + 2√3 x + 3 also possible is
4x^2 - 2√3 x + 3
So the answer is p = 2√3
The answer could also be p = -2√3
Answer:
p = ±4√3
Step-by-step explanation:
The discriminant of quadratic equation ax²+bx+c = 0 is ...
d = b² -4ac
In your quadratic, its value is ...
d = p² -4(4)(3) = p² -48
The discriminant will be zero when the quadratic has equal roots. In that case, the values of p are found by ...
d = 0
p² -48 = 0
p² = 48 . . . . . add 48
p = ±√48 . . . . take the square root
p = ±4√3 . . . . simplify
__
Another way to get there is by looking at the factoring of a quadratic with equal roots:
(ax +b)² = 0 = a²x² +2ab +b²
Comparing to the given quadratic, we find ...
a² = 4 ⇒ a = ±2 . . . . . . coefficient of x²
b² = 3 ⇒ b = ±√3 . . . . constant
p = 2ab = 2(±2)(±√3) . . . . coefficient of x
p = ±4√3
_____
The attachment shows the two different values of p give equations with one solution (each).
Find the coordinates of the midpoint of PQ with endpoints P(-5, -1) and Q(-7, 3).
O (-6, 1)
O (-1,-4)
O (6, 1)
O (-12, 2)
Answer:
(-6, 1)
Step-by-step explanation:
((-5) + (-7))/2 = -6
((-1) + 3)/2 = 1
so the answer is (-6, 1)
Will give Brainlist pls answer
Answer:
Negative
Step-by-step explanation:
From the number line we see that [tex]m[/tex] is negative and [tex]n[/tex] is positive
The expression in the parentheses, [tex](-m . n^2)[/tex] is positive since
[tex]-m[/tex] is the negative of a negative number and the sign of that is positive
[tex]n^2[/tex] is positive since a positive (or negative) number squared is always positive
[tex]\frac{m}{n}[/tex] is a negative number. If you divide a negative number, the sign of the result is negative
So evaluating the whole expression [tex]\frac{m}{n} .( m . n^2)[/tex]
gives us a negative number multiplied by a positive number and the result is a negative number
PLZ HELP ILL MARK AS BRAINLEITS
[tex]SA=\pi rs+\pi r^2\\r=8\div2=4\\s=7 \\SA=3,14\times4\times7+3,14\times4^2=138,16\:\text{in}^2\approx138\:\text{in}^2[/tex]
Answer: 138 in²
divide sh 810,000 among Sarah, John, Monica in ratio 4:3:2 respectively.
Answer:
Step-by-step explanation:
Let,4x,3x, and 2x be the share .
Now we have,
[tex]4x+3x+2x=810000\\\\9x=810000\\\\x=\frac{810000}{9} \\\\x=90000[/tex]
Again,
Share of Sarah=4x=4×90000=360000
Share of John=3x=3×90000=270000
Share of Monica=2x=2×90000=180000
A motorist covers distance of 180km in 3hours.calculate the speed at which the motorist was driving
Answer:
60 Km / hour
Step-by-step explanation:
average speed (S) is calculated as
S = [tex]\frac{D}{T}[/tex] ( D is distance and T time in hours )
here D = 180 and T = 3 , then
S = [tex]\frac{180}{3}[/tex] = 60 Km / hour
Select the correct answer. Which equation matches the function shown in the graph?
Answer:
B) [tex]y=sin(x+\frac{\pi}{2})[/tex]
Step-by-step explanation:
Technically, since the function starts at its maximum, you could say the function is [tex]y=cos(x)[/tex], but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity [tex]cos(x)=sin(x+\frac{\pi}{2})[/tex] and we can see that the correct answer is B.
The equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
It is given that:
A graph of a trigonometric function is given:
As we know,
y = sinx has a sinusoidal graph
Based on the graph we can apply a transformation to get the required function.
Applying transformation:
x → x + π/2
The sin function will shift left side by π/2 unit
The equation of the function becomes:
y = sin(x + π/2)
The equation of the function shown in the graph is y = sin(x + π/2)
Thus, the equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
Learn more about the sin function here:
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Whitney was curious if sample mean was an unbiased estimator of population mean. She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well. Note that the mean of the population is 16.
She then took a random sample of 5 balls and calculated the mean of the sample. She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample mean from a sample of 5 balls.
Based on these results, does sample mean appear to be a biased or unbiased estimator of population mean?
Answer:
The sample mean appears to be an unbiased estimator of the population mean.
Step-by-step explanation:
The sample means appear to be centered near 16
What’s 106 divided by 4 showing answer as mixed number
Answer:
Step-by-step explanation:
106/4 = 26[tex]\frac{2}{4\\}[/tex] = 26[tex]\frac{1}{2}[/tex]
Hope this helps!
9. A 25 L sample of nitrogen is heated from 110 °C to 260 °C. What volume will the
sample occupy at the higher temperature?
Answer:
Using the Charles law equation
V1/T1=V2/T2
V1=25L
V2=?
T1=110°C
T1=110+273
T1=383K
T2=266°C
T2=266+273
T2=539K
25L/283K=T2/539K
T2=(25L×539K)/283K
T2=47.6L
Therefore at the temperature of 266°C, it will occupy 47.6L of volume.
HOPE IT WAS HELPFUL.
PLEASE MARK ME BRAINLIEST
Use the Unit Circle to find the exact value of the trig function.
Explanation:
Refer to the diagram below. I've marked the angle 330 in red.
The y coordinate of the terminal point for this angle is the value of sin(330)
Therefore, sin(330) = -1/2
please help with this.
I am trying to solve this problem then simplify
Answer:
3x^2+11x+6
Step-by-step explanation:
3x +2
x 3x^2 2x
+3 9x 6
3x^2+9x+2x+6
=
3x^2+11x+6
what is the answer I had wanted to make sure if this was the answer
Answer:
area of the entire figure: 21 cm²
Step-by-step explanation:
bottom rectangle:
length * width
3 * 2
6 cm²
upper rectangle:
length * width
3 * 4
12 cm²
triangle area:
1/2 * base * height
1/2 * 2 * 3
3 cm²
Total area: 6 cm² + 12 cm² + 3 cm² = 21 cm²
Solve the proportion using cross products.
14/6 = d/15
Answer:
D=35
Step-by-step explanation:
First, find a common multiple of both 15 and 6, we get 30, 14/6*5=70/6 meaning that 14/6=35/15
What is the slope of the line that passes through the points (6,-5) and (6,-4)?
Write your answer in simplest form.
Answer:
[tex] \boxed{\tt \: m = \boxed{\tt Undefined}}[/tex]
Step-by-step explanation:
Given Two Points are:
[tex] \sf \: \tt (6,-5) \: \sf and \: \tt (6,-4)[/tex]
We need to Find:
[tex] \longrightarrow \sf \: The \: Slope[/tex]
Solution:-We know that,
[tex] \sf \: Slope = \tt \: Rise/Run \: , \: \sf \: i.e. \: \: \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex] \sf \: Slope= \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where,
[tex] \tt \: y_2= -4[/tex]
[tex]\tt y_1= - 5[/tex]
[tex]\tt x_2=6[/tex]
[tex] \tt \: x_1=6[/tex]
So Substitute their values accordingly:
[Important Note: Slope is denoted as m generally.]
[tex] \tt\implies \: m = \cfrac{ - 4 -( - 5)}{6 - 6} [/tex]
Now Simplify it.[Follow BODMAS Rule strictly while simplifying]
[tex] \tt \implies m = \cfrac{ - 4 + 5}{0} [/tex]
[tex]\tt \implies m = \cfrac{ 1}{0} [/tex]
Here, We can find that 1 is divided by 0.
We know that any expressions divided by 0 is undefined .
Hence, the slope[m] would be undefined.
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Let me know if you have any questions! :)
EASY!!! What is (8+4)+24 / 2^3
Answer:
4 1/2.Step-by-step explanation:
Given equation:
(8 + 4) + 24 ÷ 2³.Solve:
(8 + 4) + 24 ÷ 2³= 12 + 24 ÷ 2³= 36 ÷ 2³= 36 ÷ 8= 4 R4= 4.5= 4 1/2.Puzzle Three
In order to complete the following puzzle you will need to use your
answers to fill in the questions that follow. For example your answer to
number one you will have to fill in for number two and so on. Be sure to
take your time as one mistake will mess up the entire puzzle.
1) (152 - 10) =
x
2)
(4x - 5) + 2x =
3) 7x +
x - 2x -x=
X
4) - 20
x + 4) + 5x =
x-
5) - (x+12) + 2(–3x + 4) = x -
Code: Find the mean of the following:
Mithin the 2019
Your answer
This is a required question
Step-by-step explanation:
hope this helps you!
-s.
What’s the correct answer for this question?
Answer:
Slope = 3
y- intercept = (0, 10)
Step-by-step explanation:
the equation is given by y=mx+c where m is the slope
- At y-intercept, x is equal to 0
Therefore, y = 3(0) + 10
y = 0 + 10
y = 10
PLEASE HELP ME
ILL MARK AS BRAIN LIEST!!!!!
Answer:
C 377
Step-by-step explanation:
I simply typed in "surface area of cone calculator" in chrome and did it that way, since there is quite a complex formula for finding it out on your own.
(This is the formula : pi * r^2 + pi * r * sqrt (r^2+h^2)
Anyone pls help me in qn 11 in simultaneous equations
Answer: 19 cents
Step-by-step explanation:
Let's say that the cost of a lemon be L and the cost of an orange is O
We get the equation
4L + 3O = 5.45
7L + 4O = 9.30
The first equation can be made into the equation
28L + 21O = 38.15
And the second be made into
28L + 16O = 37.20
The second equation - The first question
5O = 0.95
O = 0.19
The length of a rectangle is 5 m less than six times its width. If the perimeter is 200 m, find the length and width of the rectangle.
Answer:
Let W be the width of the rectangle. The length will then be 6W (six times the width). The area is length times width. if this equals 216, then you have an equation
(6W)(W) = 216
6W2 = 216
W2 = 36
W = 6.
The width is 6 ft and the length must then be 6W = 36 ft.
To find the perimeter, use the formula
P = 2L + 2W.
Plug in:
P = 2(36) + 2(6) = 72 + 12 = 84 ft.
The perimeter is 84 ft. (Remember that area has units length units squared and perimeter has units same as length.)
Step-by-step explanation:
hello help me with this question thanks in advance
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
Solution 1 :-The measure of Angle SKR is 90°
In Rhombus, The diagonals bisect each other at 90° it means diagonals are perpendicular to each other.Hence, Option C is correct
Solution 2 :-The measure of Angle RAK is 32°
We have given that angle RAT is 64° but here AK is acting as a bisector of Angle RATTherefore,
[tex]\sf{\angle{RAT = 2 }} {\sf{\angle{RAK}}}[/tex]
[tex]\sf{\dfrac{ 64}{2}}{\sf{=}}{\sf{\angle{RAK}}}[/tex]
[tex]\sf{\angle{ RAK = 32°}}[/tex]
Hence, Option a is correct
Solution 3 :-The measure of Angle ARS is 116°
Opposite angles of rhombus are equal[tex]\sf{\angle{ARS = }}{\sf{\angle{ATS}}}[/tex]
So,
[tex]\sf{\angle{RSK = }}{\sf{\angle{RAK}}}[/tex]
[tex]\sf{\angle{ RSK = 32° }}[/tex]
By using Angle sum property
AngleRSA + AngleSAR + AngleARS = 180°
[tex]\sf{ 32° + 32° + }{\sf{\angle ARS = 180° }}[/tex]
[tex]\sf{\angle {ARS = 180° - 64° }}[/tex]
[tex]\sf{\angle{ARS = 116° }}[/tex]
Hence, Option d is correct
Solution 4 :-The measure of angle KRS is 58°
We know that angle ARS is 116° but here RK is acting as a bisector of Angle ARSTherefore ,
[tex]\sf{\angle{ARS}}{\sf{ = 2}}{\sf{\angle KRS}}[/tex]
[tex]\sf{\dfrac{ 116}{2}}{\sf{=}}{\sf{\angle{KRS}}}[/tex]
[tex]\sf{\angle{ KRS = 58°}}[/tex]
Hence, Option b is correct
Solution 5 :-mAngleSKR = All of the above
In rhombus, the diagonals bisect each other at 90°From Above, we can say that,
mAngleSKR + mAngleAKR + mAngleAKT + mAngleSKT = 90°
Hence, Option D is correct.
Answer:
1:c
2:a
3:d
4:b
5:d
Step-by-step explanation:
In rhombus STAR
[tex]1.SAL\ \ TR[/tex] [tex]\left\{Characteristic\ of\ rhombus\right\}[/tex]
[tex]SO < SKR=90[/tex]°
[tex]2. < RAK=\frac{1}{2} < RAT=32[/tex]°
[tex]3. < ARS+ < RAT=180[/tex]°
[tex]< ARS=180[/tex]°[tex]- < RAT[/tex]
[tex]=116[/tex]°
[tex]4.\ < KRS=\frac{1}{2} < ARS[/tex]
[tex]=58[/tex]°
[tex]5.\ < SKR= < AKR= < SKT[/tex]
[tex]= < AKT=90[/tex]°
I hope this helps you
:)
There are 15 more girls than boys in the auditorium. If there are 91 students in the auditorium, how many are girls?
Answer:
53 Girls
Step-by-step explanation:
X is the number of girls and Y is the number of boys:
(X + 15) + Y = 91
91 - 15 = 76
76 ÷ 2 = 38
38 + 15 = X
X = 53
(38 + 15) + 38 + 91
There are 336 girls at at concert the ratio of girls to boys at the concert is 4 to 5
Answer:
84 boys at the concert
Step-by-step explanation:
Because 80% of the girls and guys is girs the other 20% is the guys so 84 boys is the other 20%
Answer:
i think 756 but im just trying im sorry if its wrong
is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a
Answer:
a = 22
Step-by-step explanation:
[tex]cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}[/tex]
HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION HELP ME WITH THIS QUESTION
Answer:
y = x² +10x -9
Step-by-step explanation:
A spreadsheet or suitable calculator can help you with this. All spreadsheets and most graphing calculators offer regression function capabilities. It is a good idea to learn to use these tools.
The attached graphing calculator output shows the equation to be ...
y = x² +10x -9
_____
Additional comment
If you want to do this by hand, you recognize that there are only two coefficient values that need to be found. You can choose any two of the given points to use to create equations for those coefficients. I would choose the points with the x-values that are smallest in magnitude.
Using (-4, -33)
y = x² +bx +c
-33 = (-4)² +(-4)b +c
-4b +c = -49 . . . . . . . . . subtract 16
Using (1, 2)
2 = (1)² +(1)b +c
b +c = 1 . . . . . . . . . . . . subtract 1
Now, we can subtract the first equation from the second ...
(b +c) -(-4b +c) = (1) -(-49)
5b = 50 . . . . . . . . simplify
b = 10 . . . . . . . . . . divide by 5
Using the second equation, we get
10 +c = 1
c = -9 . . . . . . subtract 10
So, the desired quadratic is ...
y = x² +10x -9
__
These equations are usually pretty easy to solve, because the 'c' variable has a coefficient of 1 in all of them. It can easily be eliminated by subtracting one equation from another. Here, we chose our subtraction so the coefficient of 'b' would end up being positive. (Not necessary, but can help prevent mistakes.)
If you don't know ahead of time that the coefficient of x² is 1, then you need to write 3 equations in the three coefficients.