Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
The elves and reindeer are getting ready for a meeting with Santa.
So far 14 of them have arrived.
If they have 38 legs between them, how many reindeer are at the meeting and how many elves are at the meeting?
Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.
We know that:
[tex]r+e=14[/tex] (so far 14 of them have arrived)
[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
The number of reindeers is 5 and the number of elves is 9.
Two equations can be derived from the equation:
e + r = 14 equation 1
2e + 4r = 38 equation 2
Where:
e = number of elves at the meeting
r = number of reindeers at the meeting
In order to determine the value of r, multiply equation 1 by 2.
2e + 2r = 28 equation 3
Subtract equation 3 from 2
2r = 10
Divide both sides of the equation by 2
r = 5
To solve for e substitute for r in equation 1
5 + e = 14
e = 14 - 5
e = 9
A similar question was answered here: brainly.com/question/23589883?referrer=
I need help with this :(
♀️♀️♀️♀️♀️♀️♀️♀️
Answer:
The sum of the areas of square N and square L is equal to the area of square K
Is 3x + 4 proportional? Explain.
Answer:
Since it is a linear function, it is a directly proportional function
Step-by-step explanation:
i looked it up
9514 1404 393
Answer:
no
Step-by-step explanation:
An equation representing a proportional relationship looks like ...
y = kx
where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.
Your expression has a y-intercept of +4, so does not represent a proportion.
_____
Additional comment
Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...
does y = 3x+4 express a proportional relationship?
Please helppppppppppppp me
Answer:
with what?
Step-by-step explanation:
Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)
Answer:161500
Step-by-step explanation:that's your answer
I need help please I have to finish this
The local authorities in a certain city install 10,000 electric lamps in the streets of the city. If these lamps have an average life of 1000 burning hours with a standard deviation of 200 hours, assuming normal distribution, what number of lights might expected
Step-by-step explanation:
It is given:
[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]
Let x be the random variable that denotes the number of hours the lamp lights up.
what number of lights might expected to fail in the first 800 burning hours
Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.
First, we have to find the probability as:
P(Z < 800)
Using the z-score formula, we have:
Using the z-score formula, we have:
[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]
=P(z<-1)
Now using the standard normal table, we have:
P(x<800)=P(z<-1)=0.1587
Therefore, the expected number of lights to fail in the first 800 burning hours is:
[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]
After how many burning hours 10% of the lamps would be still burning?
We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:
z(0.90)=1.28
Now using the z-score formula, we have:
[tex]z= \frac{x-\mu}{\sigma}[/tex]
[tex]1.28= \frac{x-1000}{200}[/tex]
[tex]1.28 \times 200= x-1000[/tex]
[tex]256= x-1000[/tex]
x= 1000+256
[tex]\boldsymbol{x= 1256 }[/tex]
Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587
Given the Parameters :
σ = 200μ = 1000x = 800The number of Lamps that might be expected to fail in the first 800 burning hours :
Recall:
Zscore = (x - μ) ÷ σZscore = (800 - 1000) / 200 = -1
Using the normal distribution table :
P(Z < -1) = 0.15866
The number of bulbs expected to fail :
P × total number of bulbs0.15866 × 10000 = 1586.6
Hence, 1587 bulbs are expected to fail in the first 800 burning hours.
Learn more : https://brainly.com/question/25226377
dont mind this question
Answer:
hello, there.
Step-by-step explanation:
General kanobi
QUICK PLS ASSESSMENT ENDS IN 30 mins
The lengths of nails produced by a machine are known to be distributed normally
with mean u mm and standard deviation 0.7 mm. The lengths, in mm, of a
random sample of 5 nails are 107.29, 106.56, 105.94, 106.99, 106.47.
Calculate the 80% confidence interval for u.
Answer:
69
Step-by-step explanation:
Find the missing angle.
Answer: 80
Step-by-step explanation:
Total amount in a triangle is 180
180 - 80 - 20 = 80
[tex]\\ \leq \beta \alpha \alpha[/tex]
Solve the equation
[tex]-6 = x/8 + 4[/tex]
Answer:
You want to isolate for x -6= x/8+4Subtract 4
-10=1/8* x
Divide by 1/8
x= -80
Please rate positively and give brainlist!
Answer:
x = -80
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-6 = x/8 + 4
Step 2: Solve for x
Subtract 4 on both sides: -10 = x/8Multiply 8 on both sides: -80 = xRewrite: x = -80Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the probability that at most 4 of them involve a single vehicle.
Answer:
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
Step-by-step explanation:
From the information given:
p = x/n
p = 7/10
p = 0.7
sample size n = 15
Suppose X be the number of accidents involved by a single-vehicle.
Then;
[tex]X \sim Binom (15,0.7)[/tex]
Thus, the required probability that at most 4 involve in a single-vehicle is
[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]
[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]
[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
The following are shoe sizes of a group of bowlers: 6.5 ,7 ,7 ,7 ,7.5, 8, 8.6, 8.5, 9, 9.6, 10.5, 11. What is the mean shoe size of the bowlers?
A. 8.5
B. 8.3
C. 8.7
D. 8.0
Answer:
8.3
Step-by-step explanation:
Add all of the shoe sizes together then divide by how many shoe sizes there are and you will get your answer
The ratio of the number of boys to the number of girls in skateboard club is 5 to 4. There are 60 girls in skateboard club. How many boys are in skateboard club?
Answer:
boys:girls
5:4
?:60
multiply 15.
?=75 boys.
Hope it helps.
Answer:
Hello there.
5:4
75:60
Step-by-step explanation:
if 60/4=15, multiply 15 with 5.
your answer is 75.
Hope it helps, thank you.
Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the area of the circle increases at a rate of
Answer:
8πcm²/sec
Step-by-step explanation:
The radius of the circle increases at a rate of dr/dt = 0.25cm/sec
The radius of the circle r = 16cm
The area of the circle increases at a rate of dA/dt = ?
Area of a circle = πr²
We take the derivative with respect to t
dA/dt = 2πrdr/dt
dA/dt = 2 π (16)(0.25)
dA/dt = 8πcm²/sec
Thank you!!!
Answer:
8pi cm^2/sec
Step-by-step explanation:
took the unit test, also give other person brainliest, their answer was REALLY good.
50mgs for every 60lbs how much mgs for 110 lbs
Answer:
would it be 40?
Step-by-step explanation:
Answer:
The answer is either 1.0022727272727274, 40, or 1.8375000000000001.
Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!
PLEASE HELP!! AND SHOW WORK PLEASE!!
Answer:
keeping an eye on graph
Step-by-step explanation:
its answer will be
total price for 12.5 pound of rice=$32.5
When reaching mile marker 7 on a trail, Natalie uses her GPS to find that her current elevation is 6350 feet. If she follows the trail until its end at mile marker 12, her elevation will be 8720 feet. What is the average change in elevation of Natalie’s position from mile marker 7 to mile marker 12, in feet per mile marker?
Find the difference in elevations:
8720 - 6350 = 2370 feet.
Difference in mile markers: 12-7 = 5
Average change = feet / markers
2370/5 = 474
The answer is 474 feet
What is the probability of the outcome being an A?
Answer:
The probability of the outcome being an A is 1/2.
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.
---------------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.
The spinner is divided into 8 regions, thus, there are 8 total outcomes.4 of those regions are A, so there are 4 desired outcomes.---------------------------------------------
The probability of the outcome being an A is:
[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]
Thus:
[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.
A similar problem is found at https://brainly.com/question/16069806
I need help!!!!!!!!!!!!
Answer:
NO they are not proportional
Step-by-step explanation:
52.3/3=62.45/5 Lets see if that is correct.
52.3/3 is 17.433333333
62.45/5 is 12.49.
No they are not the same
Hope this helps plz hit the crown :D
Helppppppppppppppppp ASAP
Answer:
Option c - 2x + 1
Step-by-step explanation:
6x^2 - 10x +3x - 5
2x(3x-5) +1 (3x - 5)
(2x+1) (3x-5)
i need help with #1 10 points
Answer:
No it is not proportional
Step-by-step explanation:
You cant multiply each of the inputs by a constant number to get the output.
There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.
Hope this helped!
will mark brainliest if the answer is correct
Answer:
Kennedy will earn 21.7 dollars per hour.
Any help please thank you I appreciate it
Answer:
x=33
Step-by-step explanation:
The angles have to add up to 180, so you get:
2x - 18 + 4x = 180
6x = 180 + 18
x = 198/6
x = 33
4.23m 4.27m 3.98m his longest jump was how much longer compared to his shortest jump
Answer:
.29
Step-by-step explanation: Subtract first by last
Answer:
0.29m longer
Step-by-step explanation:
Longest jump = 4.27m
Shortest jump = 3.98m
4.27 - 3.98 = 0.29m
Paul is thinking of a number.
He says.
"My number is odd. It is a factor of 18 and a multiple of 3"
There are two possible numbers Paul can be thinking of
Write down these two numbers.
Pls help ASAP Explain why this mapping is or is not a function.
A. This is a function because every input maps to only one output
B. This is a function because every output maps only the input
C. This is not a function because more than on input maps to an output
D. This is not a function because more than one output maps the input
Answer:
correct answer is a
Step-by-step explanation:
its a function as long as every input has one output, 1 output can have any number of inputs
i choose d mb i got it wrong
If there are 129 apples and you take away 12, how many do you have now?
Answer:
117
Step-by-step explanation:
Answer: 129-12=117
Step-by-step explanation: 117 apples would be left.
as a graded class activity, your teacher asks your class to reflect a triangle across the y-axis and then across the x-axis. Your classmate gets upset because he reversed the order of these reflections and thinks he will have to start over. What can you say to your classmate to help him?
Answer:
Both processes will yield same results and he need not worry
Step-by-step explanation:
Let us firstly check if we will have same results on both steps
y before x
Let us have the point (x,y) on the triangle
y reflection
(-x,y)
then x reflection
(-x,-y)
Let us now get the order in which my friend followed
x reflection
(x, -y)
y reflection
(-x,-y)
we can see that both processes have same results and thus, my friend need not worry
Answer:
The order of these two reflections
does not
matter. The resulting image
is
the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.
Step-by-step explanation: