Answer:
2.1868932
Step-by-step explanation:
PLEASE HELP!!! 20 POINTS!!!! WILL MARK YOU BRAINIEST!!! Two isosceles triangles share the same base. Prove that the medians to this base are col linear. (There are two cases in this problem: vertices are on the same side of the base and vertices are on the opposite sides of the base!)
Answer:
Given: Two Isosceles triangle ABC and Δ PBC having same base BC. AD is the median of Δ ABC and PD is the median of Δ PBC.
To prove: Point A,D,P are collinear.
Proof:
→Case 1. When vertices A and P are opposite side of Base BC.
In Δ ABD and Δ ACD
AB= AC [Given]
AD is common.
BD=DC [median of a triangle divides the side in two equal parts]
Δ ABD ≅Δ ACD [SSS]
∠1=∠2 [CPCT].........................(1)
Similarly, Δ PBD ≅ Δ PCD [By SSS]
∠ 3 = ∠4 [CPCT].................(2)
But, ∠1+∠2+ ∠ 3 + ∠4 =360° [At a point angle formed is 360°]
2 ∠2 + 2∠ 4=360° [using (1) and (2)]
∠2 + ∠ 4=180°
But ,∠2 and ∠ 4 forms a linear pair i.e Point D is common point of intersection of median AD and PD of ΔABC and ΔPBC respectively.
So, point A, D, P lies on a line.
CASE 2.
When ΔABC and ΔPBC lie on same side of Base BC.
In ΔPBD and ΔPCD
PB=PC[given]
PD is common.
BD =DC [Median of a triangle divides the side in two equal parts]
ΔPBD ≅ ΔPCD [SSS]
∠PDB=∠PDC [CPCT]
Similarly, By proving ΔADB≅ΔADC we will get, ∠ADB=∠ADC[CPCT]
As PD and AD are medians to same base BC of ΔPBC and ΔABC.
∴ P,A,D lie on a line i.e they are collinear.
Maureen rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 6 and a head?
The probability of obtaining a 6 and a head is 1/12 if Maureen rolls a fair dice and flips a coin.
What is a probability?It is a likeliness of happening an event. It lies between 0 to 1 .
Probability= Number of events/number of outcomes
How to calculate probability?
When Maureen rolls a fair dice then probability of obtaining a six is 1/6
When Maureen flips a fair coin then probability of obtaining a head is 1/2
So the probability of obtaining a six and a head is 1/6*1/2
=1/12
Hence the probability of obtaining a six and a head is 1/12
Learn more about probability at https://brainly.com/question/24756209
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25 POINTS!! State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
Full-time worker minimum monthly income = US$ 7,846.40
Part-time worker minimum monthly income = US$ 7,846.40
Full-time worker hourly wage = US$ 49.04
Part-time worker hourly wage = US$ 98.08
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846
Full-time worker = 4 weeks of 40-hour per month
Part-time worker = 2 weeks of 40-hour per month
2. Let's calculate the minimum monthly income and hourly wage per worker
Full-time worker hourly wage = Monthly costs/160
Part-time worker hourly wage = Monthly costs/80
Full-time worker hourly wage = 7,846/160
Part-time worker hourly wage = 7,846/80
Full-time worker hourly wage = US$ 49.04
Part-time worker hourly wage = US$ 98.08
Full-time worker minimum monthly income = Hourly wage * 160
Part-time worker minimum monthly income = Hourly wage * 80
Full-time worker minimum monthly income = US$ 7,846.40
Part-time worker minimum monthly income = US$ 7,846.40
Can y’all help me I don’t get this??
Answer:
i think the 3 one
Step-by-step explanation:
Find the inner product for (-4, 9, 8) * (3,2,-2) and state whether the vectors are perpendicular.
a.-10; no
c.10; no
b.-10; yes
d.10; yes
Answer:
a
Step-by-step explanation:
they are not perpendicular and the answer is -10
QUESTION 3 of 10: You sample a 2 square mile neighborhood and find 20 people in your target demographic. If your trade area has a radius
of 10 miles and the population across the area is similar to your sample neighborhood, how many people in your target demographic live in
your trade area?
a) 1,000
b) 1,760
Oc) 3,140
d) None of the Above
Answer:3,140
Step-by-step explanation:
what is the parallel slope intercept form?
Divide. Reduce the answer to lowest terms.
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5÷3/4 is the same as 1/5•4/3 by using same, change, reciprocal.1/5•4/3=4/15.4/15 cannot be simplified any more so the answer is 4/15.Answer:
4/15 Is the answer
Step-by-step explanation:
Find the vertical horizontal and slant asymptotes if any for f(x)=2x^3+24x^2+35x-175/x^2+14x+45
Answer:
A on edge
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
took test
find the arc length of each arc
Answer:
There is no question here.
Put the question in the replies of this answer and I'll gladly answer it for you.
Step-by-step explanation:
May I have brainliest please? :)
Given the formula for volume of a box, V=lwh, which answer would you get if you solve for h?
Answer:
Step-by-step explanation:
h=V/lw
The Douglas family visits SeaLand and is charged $72.00 for 2 adult and 3 child tickets. The Williams family also visited SeaLand and was charged $78.00 for 1 adult and 5 child tickets. How much would it cost the Lopez family to go to SeaLand if they have 3 adults and 4 children?
Answer:
It would cost the Lopez family $102.00 to go to Sealand
Step-by-step explanation:
Assume that the cost of each adult ticket is $x and the cost of each child ticket is $y
∵ The adult's ticket costs $x
∵ The child's ticket costs $y
∵ The Douglas family is charged $72.00 for 2 adult and 3 child tickets
∴ 2x + 3y = 72 ⇒ (1)
∵ The Williams family was charged $78.00 for 1 adult and 5 child tickets
∴ x + 5y = 78 ⇒ (2)
Let us solve the system of equations to find x and y
→ Multiply equation (2) by -2 to make the coefficients of x equal in
values and different in signs
∵ -2(x) + -2(5y) = -2(78)
∴ -2x + -10y = -156 ⇒ (3)
→ Add equations (1) and (3) to eliminate x
∵ (2x + -2x) + (3y + -10y) = (72 + -156)
∴ -7y = -84
→ Divide both sides by -7 to find y
∴ y = 12
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 5(12) = 78
∴ x + 60 = 78
→ Subtract 60 from both sides
∴ x + 60 - 60 = 78 - 60
∴ x = 18
∴ The cost of each adult ticket is $18 and the cost of each child ticket
is $12
∵ Lopez family has 3 adults and 4 children
∴ The cost of the tickets = 3(18) + 4(12) = 54 + 48
∴ The cost of the tickets = 3(18) + 4(12) = 102
∴ It would cost the Lopez family $102.00 to go to Sealand
El precio del listón tricolor cuesta $15.5 metro, si mi mamá me hizo dos moños para el festival de la Independencia y cada moño necesitó 3.5 m de listón, ¿Cuánto pagó mi mamá?
Responder:
$ 108.5Explicación paso a paso:
Paso uno:
datos dados
el costo de un metro de cinta tricolor = $ 15.5.
se nos dice que un lazo necesitará 3,5 m de cinta, ya que tu madre hizo dos lazos, usó un total de 3,5 * 2 = 7 m de cinta
Segundo paso:
ahora calcularemos el dinero que gastó su madre.
si 1 m le costará $ 15.5
entonces 7 millones le costarán $ x
Cruz multiplicar tenemos
x = 15,5 * 7
x = $ 108.5
Esto significa que tu madre gastará $ 108.5 para hacerte los dos moños.
Queremos saber cuanto pagó mamá dado que conocemos cuantos metros de listón utilizo y cuanto cuesta el metro. Veremos que mamá pagó $54.25 por el listón.
Sabemos que cada metro del listón cuesta $15.50.
Tambien sabemos que mamá utiliza 3.5 metros de este listón, entonces el precio será 3.5 veces el precio del metro de liston, que es $15.50, esto se calcula como:
3.5*$15.50 = $54.25
Es decir, mamá pagó $54.25
Sí quieres aprender más, puedes leer:
https://brainly.com/question/19162379
Mr. and Mrs. Galloway are planning to build a new fence around their garden. They are comparing the different measurements for their plans. Plan A · Posts are 4.25 feet in length. · Posts must be installed LaTeX: \frac{7}{8}7 8 feet below ground level. Plan B · Posts are 6 LaTeX: \frac{3}{4}3 4 feet in length. · Posts must be installed 1. 5 feet below ground level. What will be the height of the fence in Plan A?
Answer:
5 1/8 feets
Step-by-step explanation:
Given that:
PLAN A:
Length of post = 4.25 feets
Post must be 7/8 feets below the ground
Height of fence in PLAN A :
Converting 4.25 feets to decimal :
4.25 feets = 4 feets + 0.25 feets
0.25 feets = 1/4 feets
4 + 1/4 feets = 4 1/4 feets
4 1/4 feets + 7/8 feets
17 /4 feets + 7 /8 feets = [(34 + 7) / 8] feets
[(34 + 7) / 8] feets = 41/ 8 feets
41 / 8 feets = 5 1/8 feets
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
Who ran further elena or tyler in ten minutes
Answer:
depends who the faster person is
Answer:
need more information
negative 3 times negative x equals?
Answer: 3x
Step-by-step explanation:
The function P gives the numbers of people in millions who own a smart phone t years after year 2000. What does P(17)=2320 tell us about smartphone ownership?
Answer:
2320 smartphone owners exists in the year 2017
Step-by-step explanation:
Given that:
P is a function ; which gives the number of people who own a smartphone t years after year 2000
If P(17) = 2320
Then the function stated above represents the number of people who own a smartphone 17 years after year 2000
17 years after year 2000 equals ;
2000 + 17 = 2017
Hence, according to the function 2320 smartphone owners exists in the year 2017
What is the slope of the line through (-1,4) and (1.-2)?
(14) 4
4
1, 2,
А -3
в. В
D. 3
Answer:
A. -3
Step-by-step explanation:
(4) - (-2) = 6
(-1) - (1) = -2
6/-2
/2
-3
The Observatory charges a $100 trip fee, plus $6.50 per student. Identify the rate of change.
Answer:
i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid
Step-by-step explanation:
Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.
Step-by-step explanation:
Need help with this thanks
Answer:
126/420
Step-by-step explanation:
you cross multipy 3/10 and x/420 then you get 1260=10x, then you divide by 10 and get 126
45% of 200
35% of 150
10% of 20
30% of 15
52.5
>
4.5
>
2
>
110
20% of 50
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reserved
Find the equivalent function of sin(180+x)
Answer:
The equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]
i.e.
[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]
Step-by-step explanation:
Considering the function
[tex]sin\left(180^{\circ }+x\right)[/tex]
Solving
[tex]sin\left(180^{\circ }+x\right)[/tex]
Using the angle sum identity:
[tex]\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)[/tex]
[tex]=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)[/tex]
as
[tex]\cos \left(180^{\circ \:}\right)=\left(-1\right)[/tex]
[tex]\sin \left(180^{\circ \:}\right)=0[/tex]
so
[tex]=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)[/tex]
[tex]=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)[/tex]
[tex]=0-1\cdot \sin \left(x\right)[/tex]
[tex]=0-\sin \left(x\right)[/tex]
[tex]=-\sin \left(x\right)[/tex]
So, the equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]
Therefore:
[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]
3(x + 5) this question must be at least 20 characters long so yeah
Answer: 3x + 15
Step-by-step explanation:
Distribute the 3 to each of the values within the paranthesis:
3 * x = 3x and 3 * 5 = 15
Combine and the solution is 3x + 15
An item is regularly priced at $77. Yasmin bought it at a discount of 15% off the regular price.
Step-by-step explanation:
15% of 77:
77 x (15/100) =11.55
so to find the discount price:
77-11.55=65.45
discount price= $65.45
PLEASE HELP! If xy=40 is that an inverse or direct variation, or neither.
Answer:
inverse variation
Step-by-step explanation:
Math: hey everyone, can anyone help me find the answer for this math question? I don’t quite understand but yea the picture is there also the question is “find the product. Simplify ur answer”
Answer:
4 1/3
I hope this helps
What is the change in the y-values and x-values on the graph?The change in the y-values is 40 and the change in the x-values is 1.
Answer:
If you are asking for the slope
Step-by-step explanation:
m = 40
Which value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y?
ОА
1
7
ОВ.
7
9
Ос.
8
7
D. -9
OE.
ف هایی
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Answer:
-[tex]\frac{8}{7}[/tex]
Step-by-step explanation:
-9x+4y=8
-3x-y=4
Multiple the entire second equation by 4
-12x-4y=16
-9x+4y=8
__________
-21x=24
divide each side by -21 and simplify
x= -[tex]\frac{8}{7}[/tex]
Select ALL 4 ways of displaying a relation.
Scatter plots
In words
Mapping Diagrams
Table
o Pie Graph
Graph
O Ordered Pairs
Answer:
Scatter plots
Pie graph
graph
in words