Answer:
x = 29
Step-by-step explanation:
The sum of the 3 angles is 180 degrees since it is a straight line
x-1 + 3x+2 + 2x+5 = 180
Combine like terms
6x +6 = 180
Subtract 6 from each side
6x+6-6= 180-6
6x =174
Divide y 6
6x/6 =174/6
x = 29
Answer:
it's 29
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What are the digits of pi? (Put as many as Brainly will let you in the questions)
Answer (I don’t need Brainliest, I am only here to help) 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745530506820349625245174939965143142980919065925093722169646151570985838741059788595977297549893016175392846813826868386894277415599185592524595395943104997252468084598727364469584865383673622262609912460805124388439045124413654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767889525213852254995466672782398645659611635488623057745649803559363456817432411251507606947945109659609402522887971089314566913686722874894056010150330861792868092087476091782493858900971490967598526136554978189312978482168299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610213596953623144295248493718711014576540359027993440374200731057853906219838744780847848968332144571386875194350643021845319104848100537061468067491927819119793995206141966342875444064374512371819217999839101591956181467514269123974894090718649423196156794520809514655022523160388193014209376213785595663893778708303906979207734672218256259966150142150306803844773454920260541466592520149744285073251866600213243408819071048633173464965145390579626856100550810665879699816357473638405257145910289706414011097120628043903975951567715770042033786993600723055876317635942187312514712053292819182618612586732157919841484882916447060957527069572209175671167229109816909152801735067127485832228718352093539657251210835791513698820914442100675103346711031412671113699086585163983150197016515116851714376576183515565088490998985998238734552833163550764791853589322618548963213293308985706420467525907091548141654985946163718027098199430992448895757128289059232332609729971208443357326548938239119325974636673058360414281388303203824903758985243744170291327656180937734440307074692112019130203303801976211011004492932151608424448596376698389522868478312355265821314495768572624334418930396864262434107732269780280731891544110104468232527162010526522721116603966655730925471105578537634668206531098965269186205647693125705863566201855810072936065987648611791045334885034611365768675324944166803962657978771855608455296541266540853061434443185867697514566140680070023787765913440171274947042056223053899456131407112700040785473326993908145466464588079727082668306343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923099079654737612551765675135751782966645477917450112996148903046399471329621073404375189573596145890193897131117904297828564750320319869151402870808599048010941214722131794764777262241425485454033215718530614228813758504306332175182979866223717215916077166925474873898665494945011465406284336639379003976926567214638530673609657120918076383271664162748888007869
Step-by-step explanation: (This took a long time, and as much as I can fit)
I dont need brainliest either here to be smart HAH
one angle of a right angled triangle is 63degree .find the other angle in grades
Answer:
27°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 63° = 180°
x + 153° = 180° ( subtract 153° from both sides )
x = 27°
Answer:
27 degrees
Step-by-step explanation:
A right angled triangle has 1 angle as 90 degree. And as you know the other angle is 63 degree, and the angle sum property of a triangle is 180 degrees. So-
Let's take 'x' as the other angle.
90 + 63 + x = 180
153 + x = 180
x = 180 - 153 = 27
x = 27 degrees
So, the other angle is 27 degrees.
All the angles of the right-angled triangle are- 90, 63, 27.
What is the value of x in the equation (4x – 1) - 3x =
<= -(x + 2)?
1 3 19
16 16 16
3
X =
Answer:
Step-by-step explanation:
x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting
how to find the rate of change of the inputs
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value.
Peaches are 8 for $2. Jill bought 12 peaches. How much did she spend?
Can you also tell me a clear step by step on how to do it because it's really confusing on how if 8 peaches are for $2 dollars then bought 12 peaches how did that like happen
Answer:
$ 3
Step-by-step explanation:
8 peaches= $2
4 peaches= $ 1
although I'm not quite sure
it's a two step equation
Answer: -15=x
Step-by-step explanation: subtract 10 on each side then divide -5 on both sides to isolate the variable
-5x=+10-85
5x=-75
x=-75/5=> x= -15
Answer the question in the picture. Thanks!
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
what is equivalent to 4 - z - z - z - z
Answer: 4-4z
Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.
Is (2, 4) a solution to this system of inequalities?
y < 8x + 8
y ≥ x + 1
Answer:
yes
Step-by-step explanation:
4<8*2+8
4<16+8
4<24
4 ≥2+1
4 ≥3
The data below give the ages of a random sample of 14 students. Calculate the percentile rank of 30 and 15. Round solutions to one decimal place, if necessary. 45 35 16 15 27 23 43 23 22 44 15 15 30 1
The percentile rank of 30 is 64.3% and the percentile rank of 15 is 0%.
To calculate the percentile rank of 30 and 15 from the given data, we need to first arrange the data in ascending order:
1, 15, 15, 15, 16, 22, 23, 23, 27, 30, 35, 43, 44, 45
To find the percentile rank of a particular value (X), we use the following formula:
Percentile rank of X = (Number of values below X / Total number of values) x 100%
For X = 30:
Number of values below X = 9
Total number of values = 14
Therefore,
Percentile rank of 30 = (9/14) x 100% = 64.3%
For X = 15:
Number of values below X = 0
Total number of values = 14
Therefore,
Percentile rank of 15 = (0/14) x 100% = 0%
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rectangle ABCD has certified A(6,4) , B(1,4) and C(1,5) what are the coordinates of point D
Answer: (6, 5)
Step-by-step explanation: If you were to graph this rectangle, you would see that D has the same x as A and the same y as C
a(n) ___ is the locus of points in a plane that are equidistant from one point, called the center.
A circle is the locus of points in a plane that are equidistant from one point, known as the center.
In geometry, a circle is a two-dimensional figure that consists of all points in a plane that are at an equal distance, called the radius, from a fixed point called the center. The distance from the center to any point on the circumference of the circle is always the same.
This property makes circles useful in various fields, such as mathematics, physics, and engineering. Circles have several important characteristics, including a diameter (the longest chord that passes through the center), a circumference (the boundary of the circle), and an area (the measure of the space enclosed by the circle).
The equation of a circle in the Cartesian coordinate system is (x - a)^2 + (y - b)^2 = r^2, where (a, b) represents the center coordinates and r represents the radius of the circle.
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3/9 - 2??????????????????
Coach Cowley is going to the store to buy some turkey for lunch at the deli. If th turkey costs $3. 25 per pound, what equation represents thetotal cost of turkey, y, for the amount of pounds, x? whats the equation?
The equation represents the total cost of turkey and amount is y= 3.25x.
We have,
The turkey costs $3. 25 per pound.
let x be the amount in pounds and y be the total cost in dollar.
Then, the relation between x and y
Total cost = 3.25 (amount in poind)
y = 3.25 x
Thus, the required equation is y= 3.25x.
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1. Tanya used 3(3/8) yards of fabric to maker her dress, and she used 1(1\3) yards of fabric to make her jacket. What was the total amount of yards?
A. 4(1/8)
B. 4(1/6)
C. 4(4/11)
D. 4(1/2)
E. 4(17/24)
The total amount of yards are 4(1/8).
To find the total amount of fabric Tanya used, we need to add the amount of fabric she used for the dress and the amount of fabric she used for the jacket.
Tanya used 3(3/8) yards of fabric for the dress and 1(1/3) yards of fabric for the jacket. We can add these two amounts by finding a common denominator for the fractions and adding the whole numbers:
3(3/8) + 1(1/3) = 3(9/24) + 1(8/24)
=> 3(17/24)
Therefore, Tanya used a total of 3(17/24) yards of fabric. This can be simplified to:
=> 3(17/24) = 4(1/8)
So the answer is A. 4(1/8).
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which of the following is the midpoint riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width?
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.
The formula for the midpoint Riemann sum is given by:
Sum = (width of interval) * (height of midpoint)
For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:
Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)
Substituting the values for each midpoint, we get the following equation:
Sum = 4 * (1 + 4^3 + 8^3 + 12^3)
This simplifies to:
Sum = 4 * (1 + 64 + 512 + 1728)
Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:
Sum = 4 * (2495)
Sum = 9980
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Sketch the unique triangles that can be made with angle
measures 40° and 100° and side length 3. How do you know you have sketched all possibilities?
Please find attached the drawing of two triangles which are drawn with MS Word, based on the possible difference of two triangles having a ASA and a SAA configuration.
What are unique triangles?Unique triangles are triangles that are different based on their configuration, which derives from the positioning of the given parameters to correspond with different congruency requirement.
The conditions for the congruency of two triangles are;
SSS: The Side-Side-Side rule; two triangles are congruent if all three sides of one triangle are congruent to the three sides of the other triangle
SAS: The Side-Angle-Side rule; two triangles are congruent if two sides and the included angle of one are congruent to two sides and an included angle in the other triangle
ASA: The Angle-Side-Angle rule; two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and an included side of the other triangle
SAA: The Side-Angle-Angle rule; Two triangles are congruent if two angles and an a non included side of one triangle are congruent to two angles and the non included side of the other triangle.
RHS: Right angle Hypotenuse Side: Two right triangles are congruent if the hypotenuse side and one leg of one triangle are congruent to the hypotenuse side and one leg of the other right triangle.
The configuration of the unique triangles can therefore, be ASA and SAA, which gives the triangles;
ΔABC; AB = 3, ∠CBA = 100°, ∠CAB = 40°ΔABC; AB = 3, ∠ABC = 100°, ∠BCA = 40°Please see attached drawings of the two unique triangles
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thank you in advance, have a awesome day
Answer:
Looks like an obtuse scalene triangle
Step-by-step explanation:
The angle of the top vertex looks to be obtuse. It if was acute isosceles it would have 2 equal sides. If it was a right triangle it would have a right angle (which it doesn't). It was obtuse isosceles it would have equal sides. So it should be A: Obtuse Scalene Triangle
How long is 50% of 60 minutes?
Answer:
30 minutes
Step-by-step explanation:
60 divided by 2 = 30
lable min
Solve.
3.7+9f = 49.6
Which is the value of f?
A. 51
B. 45.9
C. 5.92
D. 5.1
E. 5.01
Which is the value of f?
Answer:
D. 5.1
Step-by-step explanation:
Answer:
D 5.1
Step-by-step explanation:
isolate the variable by driving each side by factors that dont contain the variable
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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a class has 30 students. what is the probability that at least two people in this class share the same birthday?
To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.
If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:
365/365 * 364/365 * 363/365 * ... * 336/365
This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).
Calculating this probability gives us:
(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
So the probability that no two people in the class share the same birthday is approximately 0.2937.
Using the complement rule, the probability that at least two people in the class share the same birthday is:
1 - 0.2937 = 0.7063
Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.
Point F is on line segment \overline{EG} EG . Given FG=8,FG=8, EF=2x+4,EF=2x+4, and EG=4x-10,EG=4x−10, determine the numerical length of \overline{EF}. EF .
Answer:
26 units
Step-by-step explanation:
If point F is on the line segment EG, then EF+FG = EG
Given
FG=8,
EF=2x+4
EG=4x−10
Substitute the given values into the formula;
2x+4+8 = 4x−10
2x+12 = 4x-10
collect like terms
2x-4x = -10-12
-2x = -22
x = 22/2
x =11
Since EF = 2x+4
EF = 2(11)+4
EF = 22+4
EF = 26
Hence the numerical length of EF is 26 units
The Magnetic Field In A Solenoid That Has 280 Loops And A Length Of 13 Cm Is 9.4 ×10?5TWhat is the current in the solenoid?Express your answer to two significant figures and include the appropriate units.
the current in the electromagnet is approximately 0.019 A (amps).
What is Magnetic Field in a Solenoid?
A solenoid is a cylindrical coil of wire that is often used to generate a magnetic field. When an electric current flows through the wire, it creates a magnetic field around the solenoid. The magnetic field produced by a solenoid can be calculated using the following formula:
B = μ₀ * n * I
To find the current in the solenoid, we can use a formula that relates the magnetic field (B) to the current (I) and other characteristics of the solenoid. The formula is:
B = μ₀ * (N * I) / L
Where:
B is the magnetic field strength,
μ₀ is the permeability of free space (constant value),
N is the number of turns (loops) in the solenoid,
I is the current in the solenoid and
L is the length of the solenoid.
We can rearrange the formula to solve for current (I):
I = (B * L) / (μ₀ * N)
Now we put the given values into the formula:
B = 9.4 × 10⁻⁵ T (given)
L = 13 cm = 0.13 m (converted to meters)
N = 280 (given)
μ₀ is a constant with a value of 4π × 10⁻⁷ T·m/A
I = (9.4 × 10⁻⁵ T * 0.13 m) / (4π × 10⁻⁷ T·m/A * 280)
Now we can calculate the current:
I ≈ 0.019 A
Rounded to two significant figures, the current in the electromagnet is approximately 0.019 A (amps).
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Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.
Weighing the available information and assigning a probability.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.
So, as per the definition of subjective probability
Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus
Weighing the available information and assigning a probability.
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If one-third of a number is 24 less than the thrice of the number, find the number.
Answer:
9
Step-by-step explanation:
Let the number be 'x'
One third of a number : (1/3) *x
Thrice the number = 3x
\(3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\\)
Multiply the entire equation by 3
9x - x = 72
8x = 72
Divide both sides by 8
x = 72/8
x = 9
For each sequence, describe a way to produce a new term from the previous term.
Given three sequences. Sequence A is 30, 40, 50, 60, 70,... Sequence B is 0, 5, 15, 30, 50,..
Sequence C is 1, 2, 4, 8, 16,...
The formula describing the term of sequence A is given below:
\(a_{n+1}=a_n+10\)The formula describing the term of sequence B is given below:
\(a_{n+1}=a_n+5n\)The formula describing the term of sequences C is given below:
\(a_{n+1}=2a_n\)Which graph represents the trigonometric function given below?
Answer:
The last graph is your answer.
Step-by-step explanation:
The midline of the function should be in between the highest and lowest y value.
Here's the midline should be at y=-1
Let find where our zeroes occur at
\(2 \cos(2x - \frac{\pi}{3} ) - 1 = 0\)
\(2 \cos(2x - \frac{\pi}{3} ) = 1\)
\( \cos(2x - \frac{\pi}{3} ) = \frac{1}{2} \)
Take the inverse cosine of both sides
\(2x - \frac{\pi}{3} = \cos {}^{ - 1} ( \frac{1}{2} ) \)
\(2x - \frac{\pi}{3} = \frac{\pi}{3} + 2\pi(n)\)
Or
\(2x - \frac{\pi}{3} = \frac{5\pi}{3} + 2\pi(n)\)
Solve for x. in both scenarios
\(x = \frac{\pi}{3} + \pi(n)\)
\(x = \pi + \pi(n)\)
So our zeroes occur at pi/3, and pi, and every pi units. So we should have a period of pi, and zeroes at pi/3, pi
The last graph is your answer.
Figure ABCD is a trapezoid.
a
Find the value of x.
В.
2x
С
#
15
#
+
3x + 10
А
D
x = [?]
=
Using the fact that the opposite sides of a trapezoid are parallel, we can set up the following equation:
2x + 15 = 3x + 10
Simplifying this equation, we get:
x = 5
Therefore, the value of x is 5.
To find the value of x, we use the fact that the opposite sides of a trapezoid are parallel. In this case, side AD is parallel to side BC. We also know that angles BCD and CDA are supplementary (they add up to 180 degrees) because they are adjacent angles that form a straight line.
Using this information, we can set up the equation 2x + 15 = 3x + 10, which represents the fact that the lengths of the two parallel sides and the length of the diagonal are related. Solving for x, we get x = 5. Therefore, the value of x is 5.
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Juan can download new songs for $1.29 each. Write an equation to show how many songs he can download for $10.00
Equation: 10.00× 1.29
I THINK
Answer:
$1.29x=10
Step-by-step explanation:
You know that the goal is to reach 10 songs. So this number will go on one side of the equal sign. $1.29 is the amount to download a new song. Let x be the variable to mean each song. You are trying to find how many songs so you'd do: $1.29x/1.29=10/1.29 and x=7.75