1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
Answers
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Related Questions
please help me
is importe
Answers
Answer:
D.Kelsy has 1 and 5/8 feet more rope
Step-by-step explanation:
(13 1/8 + 21 3/4 ) -35 1/2
34 and 7/8 - 35 and 1/2
=1 and 5/8
Which of the following is the equation of a line perpendicular to the line y =
-10x+1, passing through the point (5,7)?
Answers
Answer: The answer is C.
Step-by-step explanation: This is because when you solve you get y=1/10x+6.5 this graph runs through the point (5,7) and is perpendicular to y=-10x+1. In order for two equations to be perpendicular their slopes will be the opposite.
7r+4r+10s what is the answer
Answers
Answer:
11r + 10s
Step-by-step explanation:
30 kilograms of beans costs $5. How many kilograms of beans can you buy for $20?
Answers
Answer:
120 kg
the kilograms of beans which can by for $20 are
30*(20/5) = 30.4 = 120 (kg)
Answer: 120 kilograms
Step-by-step explanation:
We can buy 30 kilograms of beans for $5 dollars. We need to find how many kilograms of beans we can buy for $20.
The first step is to divide 20 by 5. Then, using the quotient, we can multiply it by 30 to see how many kilograms of beans we can buy for $20.
20 ÷ 5 = 4.
4 x 30 = 120.
Therefore, we can buy 120 kilograms of beans for $20.
Cool beans ;)
Given that 1 gallon is equal to 8 pints, how many pints are in 8 gallons?
Answers
Answer:
64 pints in 8 gallons :))
Given that L is a linear function, L (5) = 100 and L (9) = 150.
a. Determine the value of L (13)
Answers
Answer:
L(13) = 200
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).
Finding the slope:
L (5) = 100 and L (9) = 150.
The slope is given by the change in the output(L, which is equals to y in the general formula) divided by the change in the input(x).
Change in the output: 150 - 100 = 50
Change in the input: 9 - 5 = 4
Slope: [tex]m = \frac{50}{4} = 12.5[/tex]
So
[tex]y = 12.5x + b[/tex]
L (5) = 100
So [tex]y(5) = 100[/tex], which means that when [tex]x = 5, y = 100[/tex], and we use this to find b.
[tex]y = 12.5x + b[/tex]
[tex]100 = 12.5*5 + b[/tex]
[tex]b = 100 - 12.5*5[/tex]
[tex]b = 37.5[/tex]
So
[tex]L(x) = 12.5x + 37.5[/tex]
a. Determine the value of L (13)
L when [tex]x = 13[/tex]. So
[tex]L(13) = 12.5*13 + 37.5 = 200[/tex]
The first platform of the Eiffel Tower is 2,280 inches above the ground. The second platform is 376 feet above the ground. How many yards separate the first platform from the second platform?
Answers
Answer:
62.0496 yards separate the first platform from the second platform
Step-by-step explanation:
We have to make the conversion of both units to yards.
Each feet has 12 inches.
Each inch is 0.0278 yards.
The first platform of the Eiffel Tower is 2,280 inches above the ground.
So
2280*0.0278 = 63.384 yards above the ground.
The second platform is 376 feet above the ground.
So
376*12*0.0278 = 125.4336 yards above the ground
How many yards separate the first platform from the second platform?
125.4336 - 63.384 = 62.0496
62.0496 yards separate the first platform from the second platform
Find two consecutive numbers whose sum is 55
Answers
Answer:
27 and 28
Step-by-step explanation:
Answer and Step-by-step explanation:
27 and 28.
27 plus 28 equals 55.
To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.
#teamtrees #WAP (Water And Plant)
Select ALL expressions that are equivalent to 5x−3x−8+4+2x
Answers
Answer:
Where the picture of your work?
The answer is 4 (x-1)
After the movie 99 out of 130 people surveyed.
What is the experimental probability that the next person surveyed will say he or she liked the movie?
Answers
Answer:
19 percent
Step-by-step explanation:
yw
given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.
Answers
Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
Samuel entered the following key strokes on his calculator. What did Samuel’s calculator display? A. 2.5E – 13 B. 2.5E – 4 C. 2.5E5 D. 2.5E14
Answers
Answer:
Step-by-step explanation:
I believe the answer would be 2.5E14- (D)
I hope that helped!!
In the case above about Samuel, we can say that Samuel's calculator has display option A; 2.5 E (- 13)
What is the calculation about?The function was 5 EE (-) 9 divided by 2 EE 4
5 EE (-) 9/ 2 EE 4
We know that, E implies 10 to rise to power.
So, the equation above is Converted from scientific notation into standard form;
= 5 EE (-) 9/ 2 EE 4
= 5/2 x 10 ⁻⁹⁻⁴
=2.5 x 10⁻¹³
Therefore, In the case above about Samuel, we can say that Samuel's calculator has display option A; 2.5 E (- 13)
Learn more about calculator from;
brainly.com/question/2146941
#SPJ2
1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.
A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70
2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.
A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42
3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.
A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17
4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.
A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15
Answers
Answer:
1 = C
2 = B
3 = B
4= C
Step-by-step explanation:
Im not 100% sure but.. i tried
Answer:sike i lied i must provide
Step-by-step explanation: its ez just do it
The points (11, 13) and (7, 13) fall on a particular line. What is its equation in slope-intercept form?
Answers
Answer:
slope -intercept form y=mx+c
The equation of the straight line
y = 0x +13
Step-by-step explanation:
Step(i):-
Given that the points
(11 ,13) and (7,13)
The slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{13-13}{7-11} = \frac{0}{-4} =0[/tex]
Step(ii):-
Equation of the straight line passing through the point (11,13) and slope m=0
y - y₁ = m( x-x₁)
y - 13 =0(x-11)
y-13 =0
y =13
slope -intercept form y=mx+c
y = 0x +13
Please help me
-(8x)^2
-x/4=3
-8x-5=35
-4(z+7)=36
Answers
2. x = -12
3. x = -5
4. z = -16
1. To determine the most common injury cared for in an emergency room, a reporter goes to the same hospital every
afternoon for one month during the summer and observes people entering the emergency room. She concludes that
second degree sunburn is the most common injury.
Unbiased and Biased Samples
Answers
Answer:
Unbiased
Step-by-step explanation:
Your answer would be unbiased because the reporter is going in the same hospital every afternoon for one month which means that the reporter is using the Systematic sample and systematic is an unbiased sample
(25m + 22) + (9m) = ?
Answers
Answer:
Step-by-step explanation:
Simplifying
25m + 22 = 9m
Reorder the terms:
22 + 25m = 9m
Solving
22 + 25m = 9m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-9m' to each side of the equation.
22 + 25m + -9m = 9m + -9m
Combine like terms: 25m + -9m = 16m
22 + 16m = 9m + -9m
Combine like terms: 9m + -9m = 0
22 + 16m = 0
Add '-22' to each side of the equation.
22 + -22 + 16m = 0 + -22
Combine like terms: 22 + -22 = 0
0 + 16m = 0 + -22
16m = 0 + -22
Combine like terms: 0 + -22 = -22
16m = -22
Divide each side by '16'.
m = -1.375
Simplifying
m = -1.375
Brooke bought 6 bags of powdered sugar. She got a total of 4 2/3 cups of sugar. How many cups of sugar were in each bag
Answers
Answer:
6.5 bags of sugar in each bag
Step-by-step explanation:
I need help with math
Answers
Answer:
6:3
Step-by-step explanation:
lan often takes his dog to the park. He estimates that 30% of the other dogs
he sees are retrievers, 20% are terriers, and 20% are German shepherds. He
designs a simulation.
Let 0, 1, and 2 represent retrievers.
Let 3 and 4 represent terriers.
Let 5 and 6 represent German shepherds.
Let 7, 8, and 9 represent other dogs.
The table shows the simulation results.
Answers
Answer:
0.60 if it is shepherd!
Step-by-step explanation:
Due to your severe pain, the doctor tells the nurse to give you 825 mg of pain medicine every 6 hours. You also hear the nurse say that the medication comes in 250-mg tablets. How many tablets should she give you every 6 hours? (Round to tenths, if necessary.)
Answers
Answer:
3
Step-by-step explanation:
divided 825 by 250 which give you 3.3
The math is 825 divided by 250 is 3.3.
write 47% as a decimal
Answers
Answer:
0.47
Step-by-step explanation:
47% is the same as 0.47.
Hope it helps!
Which set of ordered pairs satisfies the equation
f(x)=7x+20
Answers
Answer:
The 2nd one
Step-by-step explanation:
X = 5(84/100) + 4(10/100) +3(4/100) + 2(1/100) + 1(1/10)
Answers
the correct answer is,
[tex]x = \frac{121}{25} [/tex]
if you want me to solve without the parentheses then the answer would be,
[tex]x = \frac{1609}{100} [/tex]
Answer:
What they said
Step-by-step explanation:
Can y’all please help me!
Answers
Answer:
B)
Step-by-step explanation:
Answer: its B.... YWWW!!!
Step-by-step explanation:
Determine the degree of the polynomial
Answers
u have to divide then pray
Which of the following coordinates is in the solution set of this system?
A. (0,0)
B. (-5,3)
C. (8,-8)
D. (1,-4)
E. (2,-5)
Answers
Answer:
B.
Step-by-step explanation:
Answer:
b ceguro
pa heart din plss
ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!
Answers
Multiplying -5x-7= 35
Multiplying two negative numbers gives you a positive
On a cruise ship there are two options for an Internet connection. The first option is a fee of $5 plus an additional $0.25 per minute. The second option cost $50 for an unlimited number of minutes. For how many minutes, m, is the first option cheaper than the second option? BRAINLIEST!!!
Answers
Answer:
m=180
Step-by-step explanation:
5+0.25m=50
-5. -5
0.25m=45
divide both terms by 0.25
m=180
with the first option you can get 180minuts or 3hours for the equivalent of the $50 option.
hope this helps :)
A student is taking a true/false quiz with 16 questions. The student has not studied and has an equal chance of answering True or False on each question. What is probability that the student will answer at least 12 questions correctly?
Answers
Chance of success
0.03841 or 3.84%
Step-by-step explanation: