Answer:
See belowStep-by-step explanation:
the n number of value of x
[tex] \displaystyle x_{1},x _{2} \dots x_{n}[/tex]
let it be
[tex] \displaystyle x_{1} = x _{2} = x_{3}{\dots }= x_{n} = a[/tex]
now, the A.M of x is
[tex] \rm \displaystyle \: A.M = \frac{ x_{1} + x_{2} + \dots \dots \: + x_{n} }{n} [/tex]
since every value equal to a
substitute:
[tex] \rm \displaystyle \: A.M = \frac{ a + a + \dots \dots \: + a}{n} [/tex]
[tex] \rm \displaystyle \: A.M = \frac{ na}{n} [/tex]
reduce fraction:
[tex] \rm \displaystyle \: A.M = a[/tex]
the G.M of x is
[tex] \rm\displaystyle \: G.M =( x_{1} \times x _{2} {\dots }\times x_{n} {)}^{ {1}^{}/ {n}^{} } [/tex]
since every value equal to a
substitute:
[tex] \rm\displaystyle \: G.M =( a \times a{\dots }\times a{)}^{ {1}^{}/ {n}^{} } [/tex]
recall law of exponent:
[tex] \rm\displaystyle \: G.M =( {a}^{n} {)}^{ {1}^{}/ {n}^{} } [/tex]
recall law of exponent:
[tex] \rm\displaystyle \: G.M = a[/tex]
the H.M of x is
[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ x_{1}} + \frac{1}{ x_{2} } {\dots } \: { \dots}\frac{1}{x _{n} } } [/tex]
since every value equal to a
substitute:
[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ a} + \frac{1}{ a } {\dots } \: { \dots}\frac{1}{a } } [/tex]
[tex] \displaystyle \: H.M = \frac{n}{ \dfrac{n}{a} } [/tex]
simplify complex fraction:
[tex] \displaystyle \: H.M = n \times \frac{a}{n} [/tex]
[tex] \displaystyle \: H.M = a \: [/tex]
so
[tex] \displaystyle \: A.M = G.M = H.M = a[/tex]
hence,
[tex]\text{Proven}[/tex]
Answer:
What [tex]\colorbox{red}{Nayefx}[/tex]says is I sayConvert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet
Answer:
24 yards = 72 feet
Step-by-step explanation:
3 feet per yard
24 x 3 = 72
Who can describe and correct the error in finding volume of the cone
Find all the missing sides and angles of this triangle,
А
7
B
70°
The measurement of angle A
A A=
The length of side BC
The length of side AC-
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable
Answer:
8 oz of cocacola drink containing caffeine
8 oz of Decaffeinated Coke
Step-by-step explanation:
Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable
The Independent variable is the type of drink Given to the subjects with two levels ;
Levels :
cocacola drink containing caffeine
Decaffeinated Coke
Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.
Here is my question.
Answer: True False True true
Step-by-step explanation:
Answer:
true
false
true
true
Step-by-step explanation:
What is the solution to this system
Answer:
Sorry, I was on my phone. Its (2,3)
Step-by-step explanation:
Answer:
(2,3) is the answer
Step-by-step explanation:
the sum of 2 numbers is -48 and their difference is 17.
Answer: -15.5, -32.5
Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!
Plz help I’ll give brainliest
Answer:
1. y = 2x + 5
2. (-5) + 3 + (-8) = 3 - 5 - 8 = 3 - 13 = -10
3. given: 1/2, 3/4, 7/8, 0.55, 0.1
1/2, 3/4, 7/8 = 4/8, 6/8, 7/8
4/8 < 6/8 < 7/8
1/2 < 3/4 < 7/8
0.55 = 55/100 = 11/20
0.1 = 1/10 = 2/20
2/20 < 11/20
0.1 < 0.55
1/2 = 10/20
2/20 < 10/20 < 11/20
0.1 < 1/2 < 0.55
3/4 = 15/20
11/20 < 15/20
0.55 < 3/4
thus
0.1 < 1/2 < 0.55 < 3/4 < 7/8
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
Answer:
x = 19.48 or 19 12/25
Step-by-step explanation:
cos 41° = 14.7/x
x = 19.48 or 19 12/25
Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?
Answer:
Line segment PM = 4.2 length
ML = 6.2
ON = 3
NK = 2
Step-by-step explanation:
Just got it on plato your welcome:)
The segments formed by each transversals and the three parallel lines are
proportional according to the three parallel lines theorem.
The observations are;
The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]Reasons:
The question is a four part question
Let the equations of the parallel lines be as follows;
Line, x; y = x
Line, y; y = x + 1
Line z; y = x + 2
The points at which transversal 1 intersect the lines x, y, and z, are;
A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)
The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)
The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)
The ratio of the lengths of the segment formed by transversal 1 is therefore;
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]
The points at which transversal 2 intersect the lines x, y, and z, are;
D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)
The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)
The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]
Therefore;
[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]Which gives;
The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.The the comparison can also be made with the triangle proportionality theorem.
Learn more about triangle proportionality theorem here:
https://brainly.com/question/8160153
please please I really need help this depends on my life
Answer:
39.4 divided by (-7.2)= -5.472
6.7-39.31=-32.61
Step-by-step explanation:
Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.
Which is greats 1,200 mm or 12 m
Answer:
12m
Step-by-step explanation:
1m = 1000mm
12m to mm
12 × 1000
= 12000mm
1200mm to m
1200 ÷ 1000
= 1.2m
Solve −2|m|= −10.
What is m?
Answer:
|m| : -5Step-by-step explanation:
{ -2|m|= -10= |m| : -5 }Describe what you normally do on Sunday
my normal routine except i go to church
how many meters are their in centimeter
Answer:
You mean how many centimerters are in a meter?
In that case 100.
Step-by-step explanation:
Evaluate x-2 for x=-3
Answer:
-5
Step-by-step explanation:
Rewrite x - 2 as -3 - 2, which comes out to -5.
given:quadrillateral ABCD inscribed in a circle
prove angel A and angel C are supplementary angel B and D are supplementary
Answer:
Step-by-step explanation:
Given: quadrilateral ABCD inscribed in a circle
To Prove:
1. ∠A and ∠C are supplementary.
2. ∠B and ∠D are supplementary.
Construction : Join AC and BD.
Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,
∠1=∠2-----(1)
∠3=∠4-----(2)
∠5=∠6-------(3)
∠7=∠8------(4)
Also, sum of angles of quadrilateral is 360°.
⇒∠A+∠B+∠C+∠D=360°
→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4
→→→2∠1+2∠4+2∠6+2∠8=360°
→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,
→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)
As, ∠A+∠B+∠C+∠D=360°
∠A+∠C+180°=360°
∠A+∠C=360°-180°------Using A
∠A+∠C=180°
Hence proved.
credit: someone else
ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6
Answer:d
Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6
Answer:
answer should be 1/36
option (b)
good day mate
explanation : the sample space is 36 and butterfinger comes only once to both of them.
A radius is
the diameter
Answer:
Radius is the diameter divided by 2
(please help)!!!!!!!!!!!!!!
Answer
use trigonometry to find both the answers.
i have done the working out in the picture hope it helps...
Step-by-step explanation:
Can someone pleaseeee helppp i dont know how to do this
Answer:
C=3e
Step-by-step explanation:
Slope=
Answer fast plsssssss
Answer:
i cat see it
Step-by-step explanation:
Help me please thanks
Answer:
64 square cm
Step-by-step explanation:
(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)
Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.
8 x 6 = 48 square cm
Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?
So 1/2 (4)(8)= 1/2(32) = 16 square cm
Then we add 16 + 48 = 64 square cm
16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.
Answer:
9.5 seconds.
Step-by-step explanation:
We know that the equation that represents the height of the penny as a function of time is:
h(t) = -16*t^2 + 1451
Where the height is in ft, and the time is in seconds.
a) We want to know how long takes the penny to hit the ground.
Well, the penny will hit the ground when its height is equal to zero.
Then we need to solve for t:
h(t) = 0 = -16*t^2 + 1451
0 = -16*t^2 + 1451
16*t^2 = 1451
t^2 = 1451/16 = 90.7
t = √90.7 = 9.5
This means that it takes 9.5 seconds to hit the ground.
Answer:9.5 seconds
Step-by-step explanation:you subtract
11. Dave is building a doghouse that is a scale model of his shed in the farm yard, One of
the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window
is 9 cm wide,
a) What is the scale factor Dave is using to build the doghouse?
a.
2 mar
b) How high is the window in the scale model?
Answer:
a) 1/13 (or 13 depending on the factor is being applied to the dog house or applied to the shed. If its being applied to the shed like 117 * scale factor it is 1/13)
b) 10
Step-by-step explanation:
The scale factor is 13 and the height of the dog house is 10 cm.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
Given that, Dave is building a doghouse that is a scale model of his shed in the farmyard, One of the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window is 9 cm wide,
a) Since, the scale factor = ratio of original scale to scale of the model.
Therefore,
Scale factor = 117 / 9 = 13
b) Since, the scale factor is 13 and the original scale of the window high is 130 cm.
Therefore, height of the doghouse = 130 / 13 = 10 cm
Hence, the scale factor is 13 and height of the dog house is 10 cm.
Learn more about scales, click;
https://brainly.com/question/1287267
#SPJ2
Which expression represents the area of the shaded region?
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
[tex]A_1=\pi r^2[/tex]
Where, r is the radius of the circle.
Area of a square is:
[tex]Area=a^2[/tex]
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
[tex]a=2a[/tex]
So, the area of the square is:
[tex]A_2=(2r)^2[/tex]
[tex]A_2=4r^2[/tex]
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
[tex]A=A_2-A_1[/tex]
[tex]A=4r^2-\pi r^2[/tex]
[tex]A=4r^2-\pi r^2[/tex]
[tex]A=r^2(4-\pi )[/tex]
Therefore, the correct option is (a).
Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.
Answer:
.
Step-by-step explanation:
PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP
Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18
Answer:
Each smoothie was $4
Step-by-step explanation:
MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!
I need help with #13
Answer:
True
False
False
Step-by-step explanation:
