a triangle has two sides of lengths 7 and 9.what value could the length of the third side be?
Answers
So the correct answers are B,C,D and E, and F is a corner case. Theoretically I suppose you have to count F in as a valid answer.
Answer:
13, 10, 8, 5
Step-by-step explanation:
2+7=9 9=9 the requirment is it has to be greater than the third length not equal to
Related Questions
A small school has 110 students who occupy three classrooms: a, b, and
c. after the first period of the school day, half the students in room a move to room b, one-fifth of the students in room b move to room c, and one-third of the students in room c move to room
a. nevertheless, the total number of students in each room is the same for both periods. how many students occupy each room?
Answers
There are 20, 50 and 30 in each room respectively.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, there are 110 students in total in all the class.
According to question,
a+b+c = 110
After the room changes, we have
a/2 + c/3 = a
4b/5 + a/2 = b
2c/3 + b/5 = c
or,
a/2 = c/3
a/2 = b/5
b/5 = c/3 = a/2
so, substituting in,
a + 5a/2 + 3a/2 = 110
2a + 5a + 3a = 220
a = 22
b = 55
c = 35
Hence, there are 20, 50 and 30 in each room respectively.
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What is the domain of y = tan x, where n is any integer?
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so.. one can say the domain of tangent, is all angles EXCEPT those where cosine turns to 0
[tex]\bf \{x|x\in \mathbb{R}; x\ne \frac{\pi }{2}\pm\pi n\}\qquad \textit{\underline{n} being an integer}[/tex]
Answer:
x is not equal to pi/2 + n*pi
Step-by-step explanation:
just got it right on a pex
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) and (7, –13), and the center of the arch on the bridge is located at (0, 0). Find the equation of the arch of the bridge.
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The equation of the arch is y = (-13/49)x².
The equation of an arch can be described by a parabola when one side of the arch mirrors the other side. This is the case for the bridge problem given.
The center of the bridge is at the origin (0, 0), and it is the vertex of the parabola. Since the arch is symmetrical and the x-coordinate of the vertex is 0, the parabola is a vertical one. Thus, the equation will be in the form y = ax². To find the value of a, we will use the fact that one end of the bridge is at (7, -13).
Since (7, -13) is a point on the parabola, by plugging these values into the equation y = ax², we get:
-13 = a(7²)
-13 = 49a
a = -13/49
Thus, the equation is y = (-13/49)x².
What is the problem to this
Answers
24:x
Set up a proportion
4/9=24/x
4x=216
x=54
a) 54 is your answer
hope this helps, and please give brainliest if it does!
__________________________
Given: "For every 4 people that made the team, 9 people did not make the team. 24 people made the team. How many did NOT make the team?
24 people made the team. How many groups of 4 people is that?
24 divided by 4 equals: "6".
__________________________
6 * 9 = 54 .
__________________________
The answer is: [A]: " 54 " .
__________________________
What is the data path width for a dimm that supports ecc?
Answers
Normally, the data path width for DIMMs is 64 bits but for the DIMMs that support ECC, the data path is 72 bits.
To add, error checking uses the extra 8 bits. ECC memory is more reliable than non-ECC memory but it costs more than a non-ECC memory. Comprising the DIMMS are a series of dynamic random-access memory integrated circuits. Mounted on a printed circuit board, these modules are designed for use in personal computers, workstations and servers.
The most common kinds of internal data corruption are detected and corrected by a type of computer data storage called error-correcting code memory.
Simplify 12 to the 16th power over 12 to the 4th power
Answers
[tex] \frac{ 12^{16}}{12^{4} } [/tex]
Do solve for this, we actually just have to do one thing since our number is the same - subtract the exponents.
When you divide by exponents, you are subtracting them.
For example;
[tex] \frac{ x^{5} }{x^{2} } [/tex]
Subtract the exponents.
[tex] x^{3} [/tex] is your answer for this example.
Let's apply this to our current expression.
[tex] \frac{ 12^{16}}{12^{4} } [/tex]
Subtract the exponents.
[tex] 12^{12} [/tex] is your simplified expression with exponents.
I hope this helps!
Find P(organic | oranges)
Find P(Non-organic | oranges)
Answers
Answer to part B: 0.37
Answer to part C: organic oranges
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Work Shown:
Part A
P(Organic|Oranges) = P(Organic AND oranges)/P(Oranges)
P(Organic|Oranges) = 0.19/0.30
P(Organic|Oranges) = 0.63
Part B
P(Non-organic|Oranges) = P(non-organic AND oranges)/P(oranges)
P(Non-organic|Oranges) = 0.11/0.30
P(Non-organic|Oranges) = 0.37
Part C
The probability in part A is larger compared to the answer in part B, so it's more likely to have someone pick organic oranges rather than non-organic oranges. Melina should restock organic oranges for the next sale.
Suppose a youth organization wants to choose a president, vice-president and secretary for the upcoming year from its 35 person membership. In complete sentences, explain why this is a permutation. Determine how many different ways the youth board can be chosen.
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is the formula which gives the total number of permutations of r objects out of n.
A permutation means an arrangement in a list, be it horizontally, or vertically.
So there is a first place, a second and so on.
Example: a, b, c and a, c, b are 2 different permutations.
with these in mind:
the problem described is a permutation problem, because the order is important.
We do not only care whether a certain person is chosen among the 3, we also care what position he/she will hold.
The total number of permutations of 3 objects out of 35 is calculated by the formula:
[tex]P(35, 3)=\frac{35!}{(35-3)!}=\frac{35!}{(32)!}= \frac{35*34*33*32!}{32!}=35*34*33=39,270[/tex]
Answer: 39, 270
Table that organizes two categorical variables is called?
It says it has 13 letters
Answers
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (g ∘ h)(3).
Answers
(g○h)(x)=g(h(x))
(g○h)(x)=2(x^2+4)
(g○h)(x)=2x^2+8
(g○h)(3)=2(3^2)+8
(g○h)(3)=2(9)+8
(g○h)(3)=18+8
(g○h)(3)=26
A student took a test which had 6 questions. He would score 8 points on the test if all his answers are correct. If y represents the student's score when he got x questions incorrect, which graph best represents this situation?
Answers
m=(8-0)/(6-0)
m=8/6
m=4/3, and since we know we have the point (0,0) we know the line is just:
y=mx, using m found above...
y=4x/3
So the graph that will match this line is one that has a point on the origin and has a positive slope of 4/3. So another point other than the origin that will be quite clear is the point (3, 4)
What is recorded in section 24 of cms-1500?
Answers
Solve using perfect square factoring patterns. x2 – 8x + 16 = 25
Answers
-25 both sides
x^2-8x-9=0
(x-9)(x+1)
x=9,-1
Given the following linear function sketch the graph of the function and find the domain and range.
F(x)=2/7x-2
Answers
Domain and range are from negative infinity to positive infinity or all real numbers
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x= 5 + y
28x – 9y= -12
Answers
28x – 9y = -12
substitute x= 5 + y into 28x – 9y = -12
28x – 9y= -12
28(5 + y) – 9y = -12
140 + 28y - 9y = -12
19y = -152
y = -8
x = 5 + y
x = 5 - 8
x = -3
solution (-3, -8)
Determine whether the sequence converges or diverges. If it converges, give the limit. 60, 10, five divided by three, five divided by eighteen, ...
Answers
Using geometric sequence form, we can rewrite it as:
[tex]A_n = a_1 \cdot r^{n-1}[/tex]
[tex]A_n = 60 \cdot \frac{1}{6}^{n - 1}[/tex]
Since r < 1, there exists a limit, and thus, it is said to converge.
[tex]\lim_{n \to \infty} 60 \cdot (\frac{1}{6})^{n - 1}[/tex]
[tex] = 0[/tex]
Since the ratio is still positive, as n tends towards infinity, the graph of the sequence will never go below the horizontal. Thus, we say that the limit of the function is zero, which means that as we increase the size of n, eventually after the infinite-th time, it will hit zero.
Find the sum of the arithmetic sequence. 15, 17, 19, 21, ..., 33
Answers
sum = [tex] n *\frac{ a_{1} + a_{n} }{2} [/tex]
in our case n = 10, a1 = 15 and An = 33 so the answer will be:
sum = 10 * (33 + 15)/2 = 10 * 48 / 2 = 10 * 24 = 240
Answer:
240
Step-by-step explanation:
Hope this helps! :)
HELP If f(x)=1/7x-9,then f^-1(x)=?
Answers
Answer:
Plato/Edementum
Step-by-step explanation:
this is the correct answer if you are taking Inverse of a Function: Mastery Test just type in 7x+63 type it in like that and it will be correct
What is the correct name for this circle?
Answers
the circled is named for the letter in the center
so this one is named circle C
A triangle has coordinates A (1, 5), B (-2, 1) and C (0, -4). What are the new coordinates if the triangle is dilated with a scale factor of 1/5?
Answers
Mike and adam left a bus terminal at the same time and traveled in opposite directions. mike’s bus was in heavy traffic and had to travel 20 mi/h slower than adam’s bus. after 3 hours, their buses were 270 miles apart. how fast was each bus going?
Answers
mike's bus speed = m
total distace = t
m = a - 20
after 3 hour:
3 * (m + a) = t
3 * (m + a) = 270
3m + 3a = 270
[ 3 * (a - 20) ] + [ 3 * a ] = 270
[ 3a - 60 ] + 3a = 270
3a - 60 + 3a = 270
3a + 3a = 270 + 60
6a = 330
their speed:
a = 55
m = 55 - 20 = 35
Which is the slope of the line that connects points (3,17) and (7,25) ?
Answers
slope=(y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are any two points...
slope=(25-17)/(7-3)
slope=8/4
slope=2
8/4, reduced to 2/1.
2/1 is the correct answer.
The variable Z is directly proportional to X. When X is 3, Z has the value 54. Wha is the value of Z when X= 12
Answers
Z = kX (Where k is the constant of proportionality)
To find k
54 = k3
k = 54/3
k = 18
now find new Z
Z = 18X
Z = 18(12)
Z = 216
What is the y intercept of Y = 3x - 4?
Answers
y = mx + b
y = 3x + (-4)
so ur y intercept is -4
please help!!!! question is/.........
Answers
1/2 circle = 113.04 / 2 = 56.52
Area of rectangle = 8 x 6 = 48
Area of figure = 48 + 56.52 = 104.52
answer
104.52 ft^2
There is a traffic light at the intersection of walnut street and Lawrence avenue. The traffic light in walnut street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds, as you travel along walnut and approach the intersection, what is the probability that the first color you see is red?
Answers
P(R)=30/90
P(R)=1/3
Answer: The probability that the first color we see is red is 0.34.
Step-by-step explanation:
Since we have given that
Time taken by green color on the traffic light = 50 seconds
Time taken by yellow color on the traffic light = 10 seconds
Time taken by red color on the traffic light = 30 seconds
Total number of seconds = 50+10+30=90
So, Probability that the first color we see is red is given by
[tex]\dfrac{\text{Time alloted for red color}}{\text{Total number of seconds}}\\\\=\dfrac{30}{90}\\\\=\dfrac{1}{3}\\\\=0.3333...\\\\\approx 0.34[/tex]
Hence, the probability that the first color we see is red is 0.34.
Find the fifth roots of 243(cos 240° + i sin 240°)
Answers
zⁿ = rⁿ(cos.n.Ф + i.sinn.Ф).
The 5th root, that means that n = 1/5 ↔↔↔ rⁿ = r¹/₅ = ⁵√r
zⁿ = ⁵√(243) [cos (240+2kπ)/5 +i.sin(240+2kπ)/5]
with k = 1,2,3,..,n-1. Note that ⁵√(243) = 3
1st root : for k=0 → 3[cos(240/5)+isin(240/5) = 3(cos48°+isin48°)
2nd root : for k=1→3[cos(240+360)/5)+isin(240+360)/5]=3(cos120°+isin120°)
3rd root : for k=2 →→ 3(cos192 + isin192)
4th root : for k=3→→3(cos264+isin264)
5th root : for k =4↔↔3(cos336+isin336)
On a blueprint, the scale indicates that 7 cm represent 16 ft. What is the length of a room that is 9.8 cm long and 5 cm wide on the blueprint?
Answers
7/16 =9.8/ x =156.8/7 = 22.4 feet long
7/16 = 5/x = 80/7 = 11.428 feet wide round to 11.43 or 11.4 feet
Suppose that 66% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
Answers
The probability of two people owning a dog when 66% of people own dogs is found by squaring the probability (0.66), giving us a result of 0.4356 or 43.56%.
Explanation:The question asks to calculate the probability that both people picked at random own a dog when it is known that 66% of people own dogs. To find this probability, we can simply multiply the probability of the first person owning a dog by the probability of the second person owning a dog, assuming that these events are independent.
The probability that one person owns a dog is given as 66%, which is 0.66 in decimal form. Thus, the probability that both people own a dog is 0.66 × 0.66 (or 0.66 squared). Calculation yields:
0.66 × 0.66 = 0.4356
Therefore, the probability that both people own a dog is 0.4356, or 43.56%.
Teh width of a rectangle is 2 cm less than 7 times the length. the perimeter is 60 cm. determine the length and the width of the rectangle
Answers
60=P=2(L+W)
60=2(L+W)
divide by 2
30=L+W
given
W=-2+7L
subsitute
30=L+W
30=L-2+7L
30=8L-2
add 2
32=8L
divide by 8
4=L
sub back
W=-2+7L
W=-2+7(4)
W=-2+28
W=26
width is 26cm
length is 4cm