Answer:
a) (i) 14.6cm (3 s.f.)
(ii) 77.6° (1 d.p.)
b) (i) see 4th picture
(ii) 16.3cm² (3 s.f.)
Step-by-step explanation:
Please see the attached pictures for full solution.
PLEASE ANSWER THIS GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
x = 12.5
Step-by-step explanation:
Since measure of 4th arc is not given (measure of 3 arcs have been given), we will apply the following theorem.
By the intersecting chords theorem,
"If two chords intersecting inside a circle, measure of the angle between these chords will measure the half the sum of measures of arcs intercepted by the angle and its vertical angle."
Here intercepted arcs are (2x)° and 155°. Angel between the chords measure 90°.
By the theorem,
90° = [tex]\frac{1}{2}(2x + 155)[/tex]°
180° = (2x + 155)°
2x = 180 - 155
2x = 25
x = 12.5
find the equation of the line
Answer: y=1/2x
Step-by-step explanation:
The equation we can use is slope-intercept form. The formula is y=mx+b. The m represents the slope, and b is the y-intercept. The line passes through the y-axis at (0,0). therefore, the y-intercept is 0.
To find the slope, we can take any two points and use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for slope. Let's use (2,1) and (4,2).
[tex]m=\frac{2-1}{4-2} =\frac{1}{2}[/tex]
The slope is 1/2. Our equation is y=1/2x+0 or y=1/2x.
Answer:
y=1/2x+0
Step-by-step explanation:
slope : 1/2
y=mx+b is the equation
y-intercept is 0 therefore the equation becomes:
y=1/2x+0
What the answer question now
[tex] < or \: [/tex]
i am not so sure
Maria recorded the thickness a of a set of books. This line plot shows her results. Maria stacked the books that were 214 inches thick on top of the books that were 212 inches thick. How thick was her pile of books?
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete because it does not contain the line plot. A line plot is attached and steps on how to calculate.
From the line plot, if Maria stacked the books that were 3/4 inches thick on top of the books that were 1 inches thick, the result would be as follows.
A line plot shows the frequency of data using a number line. As seen from the line plot, 5 books are 3/4 inches thick and 4 books are 1 inches thick. If the 1 inches thick books was stacked on the 3/4 inches thick book, the resulting thickness would be: [tex]Thickness\ of\ books=\frac{3}{4} inches/book *5\ books+1\ inches/book*4\ books\\ = 3.75\ inches+4\ inches = 7.75 \ inches[/tex]
Therefore Maria pile of books as a result of stacking 3/4 inches thick on top of the books that were 1 inches thick = 7.75 inches
Answer:
7.75
Step-by-step explanation:
You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers for constructing the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of man-hours required to complete the construction of the shelter is 1200—if all volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week.
Explanation:
The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.
__
For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.
A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.
The net result is that 50 skilled hours and 165 unskilled hours are worked each week.
__
We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)
Using this assumption, job completion occurs at the equivalent rate of ...
50 +165/3 = 105 . . . equivalent skilled hours per week
The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)
__
In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.
Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
Solve for x 5 x − 1 = 6 x − 9
Answer:
The value of x in this equation is 8.
Step-by-step explanation:
5x - 1 = 6x - 9
Subtract 6x on both sides.
-x - 1 = -9
Add 1 to both sides.
-x = -8
Divide by -1 on both sides.
x = 8
Please answer this in two minutes
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(27)° = [tex]\frac{\text{XY}}{\text{WX}}[/tex]
0.509525 = [tex]\frac{4}{\text{WX}}[/tex]
WX = [tex]\frac{4}{0.509525}[/tex]
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.
Los datos siguientes corresponden a los tiempos de reacción de una muestra de 33 sujetos, medidos en centésimas de segundo(Inventar los dos últimos datos, reemplazando las x por un número): 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx. 1. Calcular los cuartiles de los 33 sujetos 2. Calcular el decil 5 y el decil 7 3. Calcular el percentil 13 y el percentil 76
Responder:
Compruebe amablemente la explicación
Explicación paso a paso:
Dados los datos: 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx
Los dos valores faltantes podrían ingresarse utilizando varios métodos, incluyendo la mediana, modal y el valor medio de los datos dados en la distribución.
Aquí usaremos el valor medio.
Media (m) de los datos = suma de la observación / número de observaciones Media =
(55 + 51 + 60 + 56 + 64 + 56 + 63 + 63 + 61 + 57 + 62 + 50 + 49 + 70 + 72 + 54 + 48 + 53 + 58 + 66 + 68 + 45 + 74 + 65 + 58 + 61 + 62 + 59 + 64 + 57 + 63) / 31 = 1844/31 = 59.4 = 59 (al número entero más cercano) Entonces reemplace los valores faltantes con 59.
En otro para hacer cálculos sobre los datos, hay que reorganizarlos.
Datos ordenados: 45,48,49,50,51,53,54,55,56,56,57,57,58,58,59,59,59,60,61,61,62,62,63,63,63, 64,64,65,66,68,70,72,74
Los cuartiles de datos:
Primer cuartil (Q1) = 1/4 (33 + 1) = 1/4 (34) = 8.5
Q1 = (8º + 9º) / 2 = (55 + 56) = 111/2 = 55,5
Segundo cuartil (Q2) = Q3 - Q1 = (25.5 - 8.5) = 17th = 59
Tercer cuartil (Q3) = 3/4 (33 + 1) = 3/4 (34) = 25.5 Q3 = (25 + 26) = (63 + 64) = 127/2 = 63.5
Rango intercuartil (IQR) = 63.5 - 55.5 = 8
Mediana = Q2 = 59
Mínimo = 45
Máximo = 74
Rango = 74-45 = 29
El quinto decil:
D5 = [5 (33 +1)] / 10 = 5 (34) / 10
D5 = 170/10 = 17º valor = 59
7mo decil: D7 = [7 (33 + 1)] / 10 = 7 (34) / 10
D7 = 238/10 = 23.8 ° término D7 = 63
Percentil:
Percentil 13 (13% × 33) = 0.13 × 33 = 4.29
4to término = 50
Percentil 76: (76% × 33) = 0.76 × 33 = 25.08
25 ° término = 63
An arrow on a spinner is spun 250 times. Some of the results are shown below. The relative frequency of landing on a 4 is the same as the relative frequency of landing on a 5 Work out the relative frequency of landing on a 4
Answer:
11/50
Step-by-step explanation:
The frequency numbers for landing on 1, 2, and 3 are:
25, 53, 62.
We add them up to get: 25 + 53 + 62 = 140
Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then
250 - 140 = 110,
so 110 landed on 4 or 5.
We are told the numbers of spins landing on 4 and 5 are equal, so
110/2 = 55,
so the spinner landed 55 times on 4 and 55 times on 5.
relative frequency = 55/250 = 11/50
The value that satisfies the equation 7/n=8/7 is
Answer:
n= 35/8
Step-by-step explanation:
7/n= 8/7
7/8 = n/7
7²/8 = n
n = 49/8
Answer:
n = 49/8Step-by-step explanation:
[tex] \frac{7}{n} = \frac{8}{7} [/tex]
Cross multiply
We have
49 = 8n
Divide both sides by 8
n = 49/8Hope this helps you
Write down the integer values satisfied by this diagram
Answer:
0,1,2,3
Step-by-step explanation:
There is an open circle at -1 so it is not included
There is a closed circle at 3 so it is included
The integers between and including 3 are good
0,1,2,3
Answer:
-1,3
Step-by-step explanation:
If the variance of 3 4 6 y (y+3) and 9 is 21.6 what is the standard deviation of 6 8 12 2y (2y+6) and 18
Answer:
The standard deviation of second data set is 9.2952.
Step-by-step explanation:
The variance of a random variable is independent of change of origin but not of scale.
That is if any value is added or subtracted from the random variable then the variance of the random variable will not change.
[tex]V(X+a)=V(X)+V(a)=V(X)[/tex]
And if any value is multiplied or divided by the random variable then the variance of the random variable will change.
[tex]V(aX)=a^{2}V(X)[/tex]
The first set of data is:
S₁ = {3, 4, 6, y, (y+3) and 9}
The variance of S₁ is,
V (S₁) = 21.6
The second set of data is:
S₂ = {6, 8, 12, 2y, (2y+6) and 18}
On comparing the two sets of data, it can be concluded that:
S₂ = 2 × S₁
Compute the variance of S₂ as follows:
[tex]V(S_{2})=V(2\times S_{1})[/tex]
[tex]=2^{2}\times V(S_{1})\\\\=4\times 21.6\\\\=86.4[/tex]
Then the standard deviation of S₂ is:
[tex]SD(S_{2})=\sqrt{V(S_{2})}[/tex]
[tex]=\sqrt{86.4}\\=9.2952[/tex]
Thus, the standard deviation of second data set is 9.2952.
Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
Answer:
no
Step-by-step explanation:
In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...
y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4
In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...
r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3
Based on side lengths only, the triangles cannot be similar.
__
Additional note
Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.
Pls help me ima give BRAINLIST
Answer:
x = -2
Step-by-step explanation:
x = -2, is a vertical line, y = 5 is a horizontal line.
Answer:
x=-2
Step-by-step explanation:
x=-2
Which values for e have the same reference angles?
Hey there! :)
Answer:
Choice 4: π/4, 3π4, 7π/4
Step-by-step explanation:
For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:
Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.
Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.
Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.
Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.
a square has a perimeter of 36cm2. what is the area of it?
Answer: 81
Step-by-step explanation:
We know that to find the area of a square you have to square the side length.
So since we know that he area is 36 cm square, then we will find the square root of 36.
36/4= 9 Now we know that the side length is 9 and a square has four sides which are all equal. The perimeter is the distance around the shape.
So just multiply 9 by 9 to find the area
9*9 = 81
Inga can earn $375 per week in a plant store, or she can earn 3% of total sales. How much would Inga have to sell to earn more in commission than in salary?
Answer:
Inga will have to sell $12,533 to earn more in commission than in salary.
Step-by-step explanation:
As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.
Igna's salary = $375
Commission rate = 3%
Sale to earn more than salary = $376 / 3% = $12,533.33
Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.
pls answer asap i need this answer quick plus the full explanation #8
helpzies again lollll
Answer:
2nd Graph
Step-by-step explanation:
If it's a direct proportional relationship, the the 2nd graph is your best choice. Usually renting stuff keeps increasing in price (like a linear graph) as businesses want to make money continuously. Besides, it's charged by the hour, with an increase of price proportional to the amount of hours, so it is a linear equation.
Please answer this question fast in two minutes
Answer:
4
Step-by-step explanation:
Angle 2 and angle 4 are vertically opposite angles.
Vertically opposite angles are equal.
Answer:
the angle that is congruent to <2 is <4.
Step-by-step explanation:
They are vertical angles, therefore congruent
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
what is the measure of ∠x
Answer:
see below
Step-by-step explanation:
If we look at ∠CBA and ∠BAE, we notice that they must be supplementary because they are same side interior angles, therefore:
41 + 102 + x = 180
143 + x = 180
x = 37°
Answer:
x = 37°
Step-by-step explanation:
→ First, we need to remember 2 important angle facts
Angles in a triangle add up to 180°Alternate angles are equal→ The first thing we want to do is find BCA because it's alternate to CAE or angle x, so let's set up an equation
BCA + 41° + 102° = 180°
→ Add the whole number together
BCA + 143° = 180°
→ Minus 143° from both sides to isolate BCA
BCA = 37°
→ Using the second angle fact, that alternate angles are equal, we can confirm that angle 'x' and angle BCA are alternate therefore equal
x = 37°
Use the distributive property to multiply -3(-28)
Answer:
84
Step-by-step explanation:
-3 multiplied by -28 equals 84. The two negatives cancel out.
Answer: ur answer would be 84
-3*-28
84
helpppp the whole question is in the picture
Answer:
y=-1/4(x+3)²+3
Step-by-step explanation:
Answer and explanation:
We khow that the standard form of a parabola is written this way:
ax^2 + bx +c
It can be factored if it has roots
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
In the graph we notice that the parabola has two x-intercepts wich means two roots
Let p and q be the roots
The equation can be written as:
a (x-p) (x-q)
We can khow the value of p and q from the graph
The parabola crosses the x-axis in -6,25 and 0.5
So the equation is:
Y=a(x-0.5) (x+6.25)
a is missing but we can find it
□□□□□□□□□□□□□□□□□□
Replace x and y bu the coordinates of a point in the parabola
Let's take (-3;3)
3= a (3-0.5) (3+ 6.5)
3 =a* 2.5* 9.5
a= 3/(2.5*9.5) = 0.12
So the equation is :
y= 0.12(x-0.5)(x+6.5)
y= (0.12x-0.6)(x+6.5)
y= 0,12x^2 + 0.78x -0.6x- 3.9
y= 0.12x^2 +0.18x-3.9
Divide by 3 to simplify :
y= 0.4x^2+0.6x-1.3
Multiply by 10 to get rid of the decimal numbers
y= 4x^2 + 6x -13
Can someone help me with this question please.
Answer:
a. +3
b. -12a
Step-by-step explanation:
Here, we want to know the steps that are involved in those unoccupied segments
let’s start with the output
6a + 18
So what turned a to 6a + 18
Let’s call that output x
Let’s reverse the last step that multiplied that term and a
Thus (6a + 18)/6 = a + 3
Thus the x-term we are looking for is + 3 before the multiplication by 6
Now for the second part;
a * 4 -3 = -12a
x-5=11-3x solve for x
Answer:
4
Step-by-step explanation:
x-5=11-3x
+5 +5
x=16-3x
+3x +3x
4x=16
--- ----
4 4
//x= 4//
// have a great day //
What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3
Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
The Slope is 5
Step-by-step explanation:
As seen in the y-intercept equation, 5x is shown as the slope of the line.
82 Find the circumference
of a circle with a radius
of 10cm.
A. 6.28 m
B. 62.8m
C. 628m
D. 6280m
Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
Now, The circumference:
=> Circumference = [tex]2\pi r[/tex]
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
B. 62.8m
Step-by-step explanation:
C= 2πr= 2*3.14* 10 m= 62.8 m
Assumed radius is 10 m as the answer options are in metre
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A. She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 8 km for Isabelle’s distance.
B. She did not square the 12 in the problem. She should have used 12 squared = 144.
C. She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
D. She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
E. She should not have taken the square root of each side when solving. She should have just divided each side by 2.
F. She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
Answer:
A and B
Step-by-step explanation:
A) because what Omyra found is the distance for an hour and what she should have found is the distance for an hour and a half.
B) because the pythagorean theorem is a^2+b^2=c^2. The legs of an triangle should always be squared before being added.
Answer:
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Step-by-step explanation: