Answers
Answer:
obtuseacuteStep-by-step explanation:
Think about a right triangle with legs AB and AC. Then you have ...
AB² +AC² = BC² = 10² = 100
If AB and AC are shorter than that, the sum of their squares will be less than 100. When the legs of a right triangle are shortened, the angle between them must increase in order for them to continue to form a triangle.
The triangle with AB² +AC² < 100 is an obtuse triangle.
__
Conversely, if AB and AC are lengthened so the sum of their squares is greater than 100, the angle between them will have to decrease for them to form a triangle.
The triangle with AB² +AC² > 100 is an acute triangle.
Related Questions
Find the slope and y intercept of the line y= 3x-6
Answers
Answer:
slope = 3
y-int= -6
Step-by-step explanation:
y=mx+b
m: slope
b : y-int
Calculate the value of B in the triangle below.
Answers
Answer:
30
Step-by-step explanation:
The calculation is in the image
what is 4 3/8 - 5 1/2 ? Enter your answer as a fraction in simplest form
Answers
Answer:
6 1/6
Step-by-step explanation:
What’s the correct answer for this?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
As the radius of the circle is 5
You need to square this value for it to fit the equation
5^2 = 25
Thus, your answer would be option B
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Stay Brainly! ヅ
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5) Two machines M1, M2 are used to manufacture resistors with a design
specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to
follow normal distribution with mean 1050 ohm and standard deviation of 100
ohm, while those of M2 are found to follow normal distribution with mean 1000
ohm and standard deviation of 120 ohm. Which machine do you prefer? Why?
Answers
Answer:
Since M1 has the higher probability of being in the desired range, we choose M1.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.
So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.
For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.
M1:
Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that [tex]\mu = 1050, \sigma = 100[/tex]
The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1050}{100}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1050}{100}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.6915 - 0.0668 = 0.6247.
M1 has a 62.47% probability of being in the desired range.
M2:
M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that [tex]\mu = 1000, \sigma = 120[/tex]
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1000}{120}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a pvalue of 0.7967.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1000}{120}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a pvalue of 0.2033
0.7967 - 0.2033 = 0.5934
M2 has a 59.34% probability of being in the desired range.
Since M1 has the higher probability of being in the desired range, we choose M1.
PLEASE HELP?
The product of two rational numbers is ______ rational.
A: never
B: sometimes
C: always
Answers
Answer: C Always
Step-by-step explanation: multiply two rationals is the same as multiply two fractions which will result in another fraction
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 60 pints of a mixture that is 60% pure fruit juice?
Answers
Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Step-by-step explanation:
Let x be number of pints of the first fruit drink which is ( 55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).
We know that there are 60 total pints. Therefore:
x + y = 60
We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from
x or y.
For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:
0.55x + 0.85y = 60 × 0.6
0.55x + 0.85y = 36
We will get rid of the decimals by multiplying through by 100. This will be:
55x + 85y = 3600
Combining both equations
x + y = 60 .......... i
55x + 85y = 3600 ........ ii
Multiply equation i by 55
Multiply equation ii by 1
55x + 55y = 3300
- 55x + 85y = 3600
Then subtract
-30y = -300
y = 10
Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
B
Step-by-step explanation:
If you shifted this equation 7 units to the right and 3 down, the new formula would be [tex]4(x-7)^2-19[/tex], or answer choice B. Hope this helps!
I WILL MARK AS BRANLIEST!
Chad is packing to go to college he packed 6 Mario games and nine brand new textbooks in a box the total weight of the box was 21 pounds realizing the box still had room and how strong he is, he put two more games in the box the new weight of the box is 22 pounds
What is the weight of one textbook and what is the weight of one game.
Answers
Answer:
0.5 pounds is one game
2 pounds is one textbook
Step-by-step explanation:
g = games
t = textbooks
Let's start with how much a game weighs. We know that when Chad added two more games the weight of the box increased by one pound (it was previously 21 pounds and then went to 22 when the two games were added). This means one game equals half of a pound (or 0.5 lbs.)...
[tex]2g = 1[/tex]
[tex]\frac{2g}{2} = \frac{1}{2}[/tex] -> if you divide one side by two, you must do the same to the other.
[tex]g = \frac{1}{2} = 0.5[/tex]
Now that we know the weight of the games, we can figure out the weight of the textbooks.
[tex]6g + 9t = 21[/tex] -> 6 games and 9 textbooks weigh 21 pounds.
Plugging in that each game is 0.5 pounds...
[tex]6(0.5) + 9t = 21[/tex]
[tex]3 + 9t = 21[/tex]
[tex]3 - 3 + 9t = 21 - 3[/tex]
[tex]9t = 18[/tex]
[tex]\frac{9t}{9} = \frac{18}{9}[/tex]
[tex]t = 2[/tex]
That means that each textbook equals 2 pounds.
I hope this helps!
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
The answer is (c) as you can see that in (c) option , every element has only 1 image , which is not in the case of others
An equation is a mathematical sentence that compares expressions that are
Answers
Answer:
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.
Step-by-step explanation:
Pham can work as many or as few hours as she wants at the college bookstore for $10 per hour. But due to her hectic schedule, she has just 20 hours per week that she can spend working at either the bookstore or at other potential jobs. One potential job, at a café, will pay her $12 per hour for up to 5 hours per week. She has another job offer at a garage that will pay her $11 an hour for up to 2 hours per week. And she has a potential job at a day care center that will pay her $8.50 per hour for as many hours as she can work. If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?
Answers
Answer:
16 hours per week
Step-by-step explanation:
Pham can earn TR1 = $11*16 = $176 at the college bookstore.
At a café she can earn TR2 = $12*6 = $72.
At a garage she can earn TR3 = $10*5 = $50.
At a daycare center she can earn TR4 = $8.50*16 = $136.
If her goal is to maximize the amount of money she can make each week, then she should work 16 hours per week at the bookstore to earn $176.
-stated by a math superior online
Answer:
oof
Step-by-step explanation:
A circle has a radius of 6/7 units and is centered at (-2.3, 0). Write the equation of this circle.
Answers
Answer:
[tex](x+2.3)^{2} +y^{2} =36/49[/tex]
Step-by-step explanation:
To get the equation of a circle we plug your information into this equation:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Your h is the x coordinate of the center, -2.3 and your k is the y coordinate of the center, 0. The r is your radius. So we plug these values in to get [tex](x+2.3)^{2} +y^{2} =(6/7)^{2}[/tex] which then gives us the final answer of [tex](x+2.3)^{2} +y^{2} =36/49[/tex].
The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tickets for $9. The 9th graders received a total of $240 from sales. In total, 40 tickets were sold. Write a system to represent this situation. Be sure to define your variables. Use your system to determine how many tickets of each type the students sold.
Answers
Answer:
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Step-by-step explanation:
Let [tex]x[/tex] be the number of student tickets sold.
Let [tex]y[/tex] be the number of adult tickets sold.
As per the question statement, total tickets sold are 40.
[tex]x +y =40 ...... (1)[/tex]
Price of each student ticket = $5
Sales from students' tickets = Price of each students ticket [tex]\times[/tex] Number of students tickets sold
Sales from student's tickets = 5 [tex]\times x[/tex]
Price of each adult ticket = $9
Sales from adult's tickets = Price of each adult's ticket [tex]\times[/tex] Number of adult tickets sold
Sales from student's tickets = 9 [tex]\times y[/tex]
Total sales is done by students and adult tickets is $240 as per the question statement.
[tex]\Rightarrow 5x + 9y = 240 ......(2)[/tex]
Solving equations (1) and (2) using elimination method:
Equation [tex](2) - 5 \times (1)[/tex] :
[tex]5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10[/tex]
Total number of adult tickets sold = 10
Putting [tex]y=10[/tex] in equation (1):
[tex]x+10 = 40\\\Rightarrow x = 30[/tex]
Total number of students tickets sold = 30
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Identify the most reasonable unit to measure the height of a coffe cup
Answers
Answer:
m
Step-by-step explanation:
40 POINTS URGENT PLEASE HELP
a.) $385
b.) $430
c.) $444
d.) $480
Answers
Answer:
The amount of loan ($20000) after 48 months with 1.5% (0.015) interest rate is calculated by:
A = 20000 x (1 + 0.015/12)^48
= 21235.94$
Monthly payment of Grace is calculated by:
M = A/number of month
= 21235.94/48 = 442.4 = ~444$
Hope this helps!
:)
P.S: I did try the amortization formula, but something wrong with my calculator. I used other formula instead :)
The range of which function includes -4
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
just took the quiz on edge
What is the value of p in the equation 1/4(8-4p)+2p=12
Answers
Solution is 10. How?
I dont know if it helps but tell me if it does
Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Answers
Answer:
$2.96
Step-by-step explanation:
3x$2.67=$8.01
3x$2.73=$8.19
5x$3.27=$16.35
$8.01+$8.19+$16.35=$32.55
This makes 11 pounds of trail mix.
$32.55 divided by 11 = $2.9590909 = $2.96
solve the system of equations y=4x+1, y=x2+2x-2
Answers
(-1,-3) and (3,13)
Given in the question two equations
y = 4x + 1
y = x² + 2x - 2
Equate both functions
4x + 1 = x² + 2x - 2
rearrange the x term and constant
-x² + 4x - 2x + 2 + 1 = 0
-x² + 2x + 3 = 0
factors
-x * 3x = -3x²
-x + 3x = 2x
-x² -x + 3x + 3 = 0
-x(x+1) +3(x+1) = 0
solve
(x+1)(3-x) = 0
x = -1
and
x = 3
Plug these values in equation to find y
x = -1
y = 4(-1)+ 1
y = -3
x = 3
y = 4(3)+ 1
y = 13
1. Solve the equation for x.
6 = -8
X =
(Use the value of x in the sum )
Answers
Answer:
The equation does not have a variable
Step-by-step explanation:
6=?-8
Answer: The equation does not have a variable to solve for x
Hope this helps.
Answer:
6÷8=0.75
Step-by-step explanation:
hheks ccu h ccu se bfi s no San kfi rn ko is GB bbn 9 guy dndvidbtdjd
find the output, g, when the input, r, is 3.
g = -5r + 13
g = __
Answers
Answer:-2
Step-by-step explanation:
g=-5(3)+13
=-15+13
=-2
Hope this helps
Answer:
g = -2
Step-by-step explanation:
g = -5r + 13 Substitute 3 for r into the equation
g = -5(3) + 13 Multiply in the parentheses
g = -15 + 13 Add
g = -2
6th grade math help me please :))
Answers
Answer:
1: 7 2: 3
Step-by-step explanation:
Answer:
1.)x=7
2.)x=27
Step-by-step explanation:
1.) 84/12=7
2.) 9*3=27
27/9=3
.Select the three ratios that are in simplest form.
4/9
11/13
6/5
14/21
Answers
Answer:
4/9, 11/13, 6/5
Step-by-step explanation:
If h = 7 inches and r = 3 inches, what is the surface area of the geometric shape formed by this net?
Answers
Answer:
7 inchedhmutk84ky2oy73873uryr
Answer:
21porqse multiplica dos +64+55+77What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent.
Answers
Step-by-step explanation:
This problem is related to binomial probability
Probability of getting head (success)p= 1/2
Probability of getting tail (failure )q=1/2
Total number of trials(n) = 8
number of success (r)= 3
Binomial probability P(r=3)
[tex]nCr(p)^{n-r}q^r[/tex]
Plug in the values in the formula
[tex]nCr(p)^{n-r}q^r\\8C3(\frac{1}{2} )^{8-3}\frac{1}{2} ^3\\ \frac{8!}{3!(8-3)!} (\frac{1}{2} )^8\\56 \cdot (\frac{1}{256} )\\0.21875[/tex]
To convert it into percentage , multiply by 100
0.21875 times 100= 21.9
Answer :
21.9%
pls help me with this — show work pls
Answers
Answer:
D
Step-by-step explanation:
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of
[tex]\pi[/tex]
Answers
Answer:
288
Step-by-step explanation:
Just took test on edg
Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many kilometers does he still have to travel to reach his destination
Answers
Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
what the answer please answer quick need help
Answers
Answer:
6/5 = 1 1/5
Step-by-step explanation:
3/4 ÷ 5/8
Copy dot flip
3/4 * 8/5
Rewriting
3/5 * 8/4
3/5 *2
6/5
Changing from an improper fraction to a mixed number
5/5 +1/5
1 1/5
Answer:
[tex]\frac{6}{5}[/tex] = [tex]1\frac{1}{5}[/tex]
Step-by-step explanation: