For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
write an equation of the line passing through point p that is parallel to the given line.
3. P(6,10),y=-3x+13
Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
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Answer:
ur right
Step-by-step explanation:
Find the x-intercepts of the parabola y=−x2+x+12.
Answer:
Your x-intercepts are -(3, 0) and (4, 0).
Step-by-step explanation:
The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.
Explanation:
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus i.e,
⇛AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
⇛AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)
Similarly in ∆DAC ,
DA=DC=AC
⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)
From eqn(i) and eqn(ii)
∠A=∠BAC+∠DAC=60°+60°=120°
and
∠B= ∠ABC = 60°.
and
∠C=∠ACB+∠ACD=60°+60°=120°
and
∠D =∠ADC=60°
∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°
Answer:-The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.
Note: [Figure refers in the attached file.
In Manhattan, there are 15 CoffeeStops per 100,000 people Manhattan has approximately 1,602,000 people How many Coffee Stops are there?
Answer:
Given that 15coffee stops=100,000people
then: x= 1,602,000
100,000×x= 15×1,602,000
100,000x= 24,030,000
100,000x÷100,000= 24,030,000÷100,000
x= 240.3
so therefore there are 240.3 coffee stops if there are 1,602,000
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In Manhattan, there are 15 CoffeeStops per 100,000 people.
Then the number of coffee shops per person will be
⇒ 15 / 100,000
⇒ 1.5 × 10⁻⁴ coffee shops per person
Manhattan has approximately 1,602,000 people.
Then the number of coffee shops will be
⇒ 1,602,000 × 1.5 × 10⁻⁴
⇒240.3 or 241 coffee shops
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
What are all the fractions that are between 1/2 and 1.
Answer:
2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25 97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)
Step-by-step explanation:
Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00
This is like saying finding Fractions that give you percentages between 50% and 100%
for example:
you could simplify 52/100 and get 31/50
31/50 as a decimal would be 0.52 and 0.52 falls between(0.50 and 1.00) 1/2 and 1
example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9
0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine
If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has
| a b/c| then you can also use it.
or use an online calculator or simplify if you wish
To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.
A race director is preparing for an upcoming marathon and estimates that the mean time to
finish is 310 minutes. Assume
that the times are normally distributed, with a standard deviation of 50 minutes.
Use a standard normal table or a calculator to find the percentage of times that are longer than 236 minutes. For your
intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example
98.23%).
93.06% of the race is longer than 236 minutes.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 310, σ = 50
For x > 236:
[tex]z=\frac{236-310}{50}=-1.48[/tex]
From the normal distribution table:
P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 = 93.06%
93.06% of the race is longer than 236 minutes.
Find out more on z score at: https://brainly.com/question/25638875
Evaluate the following expression.
53
Enter the answer
Answer:
125
Step-by-step explanation:
5^3 = 5 ✕ 5 ✕ 5, and 5 ✕ 5 ✕ 5 = 125
Hope this helps :)
Answer:
125
Step-by-step explanation:
all you have to do is 5*5*5. so multiply the number that many times it tells you on the exponent.
PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3
Answer:
[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)
Step-by-step explanation:
Point-slope equation is: [tex]y-y_1=m(x-x_1)[/tex]
If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:
[tex]y-11=m(x+2)[/tex]
And of course we need to replace m with our slope:
[tex]y-11=\frac{4}{3}(x+2)[/tex]
write one equivalent ratio of the given radio
1. 3/9
2.6/7
3.11/12
4.2/8
5.3/6
Nina bought four pieces of candy. She paid for it with a 10 dollar bill. Let ‘c’ represent the cost of one piece of candy. Pick the expression that represents the total amount of money she has leftover.
THE ONLY ANSWERS
4c + 10
10c - 4
4 + 10c
10 - 4c
Answer:
It should be the last one, 10 - 4c.
Step-by-step explanation:
Because base on the problem it should be a subtraction problem. "C" is the pieces of candy so it would be 4c. Your finding the amount left, so 10 - 4c is the answer.
Answer: 10 - 4c
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
Please help thank you
Answer:
2 × n - 1 = x
Step-by-step explanation:
for example:
[tex]2(4) - 1 = 7[/tex]
[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]
You have a Rectangle with sides of 5ft and 8ft; solve for its perimeter and area.
Answer:
Perimeter = 2(l+w) = 2*(5+8) = 26ft
Area = wl = 8*5 = 40
Step-by-step explanation:
pretty sure :)
A tennis player makes a successful first serve 49% of the time. If she serves 6 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others.
Answer: the naswer is 0.154
Step-by-step explanation:
ABC has vertices A(-3,2). B(3,2), and C(0, – 3). Is ABC scalene, isosceles, or equilateral?
Is ABC scalene, isosceles, or equilateral?
Answer:
isoselses!
Step-by-step explanation:
i hope that helps
10. Andy has trumpet practice 4 times every month. Every practice lasts half an hour. What is the total number of minutes that Andy will practice?
Answer:
480min a month
Step-by-step explanation:
4×30 =120
120×4=480
(x-3)^2=5 ? confused
[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]
Points M (2, 9) and N (-1, 3) are on a line with y-intercept 5. What is the equation of the line?
Answer:
Whenever you are given two points, start by naming the points. (2, 9) becomes (x1, y1); then (-1, 3) becomes (x2, y2). When you know which numbers you are putting into which formulas, it makes it much easier.
Start with finding your slope. m = y2 - y1/ x2 -x1
Step-by-step explanation:
Hope This Helps! Please Mark Brainliest!
Solve the given equation.
Which term of the AP 21, 42, 63, 84, ..... is 210 ?
Answer:
The 10th term
Step-by-step explanation:
As we see these are all incrementing by 21 (and divisible by 21), we can divide all the terms by 21 and get 1, 2, 3, ...., 10
Therefore 210 is the 10th term.
Answer:
The 10th term is 210
Step-by-step explanation:
Let's revise our tables of 21.
21 x 1 = 2121 x 2 = 4221 x 3 = 6321 x 4 = 8421 x 5 = 10521 x 6 = 12621 x 7 = 14721 x 8 = 16821 x 9 = 18921 x 10 = 210Therefore, the 10th term will give 210.
Hoped this helped.
What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
Answer:
y = 1/2x - 8
Step-by-step explanation:
Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b
where m = slope and b = y intercept.
We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.
y = mx + b
slope (m) = 1/2
x value of given point (x) = 8
y value of given point (y) = -4
- plug in these values -
-4 = (1/2)(8) + b
now solve for b
multiply 1/2 and 8
-4 = 4 + b
subtract 4 from both sides
-8 = b
So the y intercept (b) is -8
We now plug in the slope and y intercept into slope intercept form
y = mx + b
m = 1/2 and b = -8
y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
For more validation refer to the attached image.
[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]
BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
PLEASE HELP ME WITH THIS!!
Answer:
A 3x10^-6
Step-by-step explanation:
Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answer: The answer is 36(multiple possible answers though).
Can someone pls help me!! And if u can explain how u do it I will very thankful for that..
Answer:
For the first question is 8y, and the second question would be 80
Step-by-step explanation:
The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.
Five and 1/3÷2 2/3 simplified
Answer:
5 1/3 ÷ 2 2/3
Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).
5 1/3 = 16/3
2 2/3 = 8/3
16/3 ÷ 8/3
When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.
16/3 x 3/8
Multiply.
16/8
Divide by 8.
2
Hope this helps! :)
51.33333333 just round it plz
Answer:
51
Step-by-step explanation:
The answer would be 51 because the numbers behind the decimal are below 5
Answer:
51
Step-by-step explanation:
51.33333333 rounds to 51 because 3 is less than 5.
When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.