Answers
Answer:
1.
[tex] \frac{n^{2} - 1 }{2} [/tex]
2.
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
Area of triangle=1/2×b×h
=
[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]
[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]
[tex] \frac{ {n}^{2} - 1 }{2} [/tex]
2. Area of triangle=14
[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]
[tex] {n}^{2} - 1 = 28[/tex]
[tex] {n}^{2} = 29[/tex]
[tex]n = \sqrt{29} [/tex]
please rate well and mark BRAINLIEST.
thanks
Related Questions
Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answers
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
4х + Зу = — 15
Зу = 2х + 3
Answers
Answer:
(- 3, - 1 )
Step-by-step explanation:
4x + 3y = - 15 → (1)
3y = 2x + 3 → (2)
Substitute 3y = 2x + 3 into (1)
4x + 2x + 3 = - 15
6x + 3 = - 15 ( subtract 3 from both sides )
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into (2)
3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )
y = - 1
solution is (- 3, - 1 )
a shirt is on sale for 20% off the original price. if the original price is 25.00, what will be the sale price of the shirt
Answers
Answer:
$20 is the sale price
Step-by-step explanation:
20% of $25 is (0.2*25)=$5
$25 -$5 = $20
n is m% of what? please help its hard.
Answers
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
Please write in full sentences.
Brainliest and 100 points.
If you don't know then don't answer.
Answers
Answer:
no because there is a 10 which make it not proportional
Step-by-step explanation:
hope that helps.
Answer: No they are not proportional because the last row has -10 which obstructs the whole relationship.
Examine the figure. What is the measure of angle a?
Answers
A = 180-90-31
A = 59
Answer: 59
What is another way to write 54?
5×5×5×5
4+4+4+4+4
4×4×4×4×4
5+5+5+5
IT CANT BE NONE OF THE ABOVE
Answers
Answer: 5^2.48 is honestly as close as you can get.
So 5x5x5x5
Hope this helps
Help help math I need to pass please
Answers
Answer:
63 degrees
Step-by-step explanation:
The hint tells you that you can add the other 2 angles in the triangle to get the answer.
Mr. Hare left at 8:00 a.m. and is traveling 40 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 50 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare is at the same location as Mr. Hare?
A. 11:00 a.m.
B. 1:00 p.m.
C. 2:00 p.m.
D. 3:00 p.m.
Answers
Answer:
The answer is b
Step-by-step explanation:
During the 8-9 , Mr hare travel 40miles
For the time 9 onwards they travel concurrently,
Let x be the distance covered by both since they can only meet if they covered the sams distance,
x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr
x/40 - x/50 = 1
x = 200
Time take by Mr Hare = 200/ 40 = 5
from 8 add 5 hours will be 1
Note, i took this answer from an answer from another answer.
Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?
Answers
Answer:
39
Step-by-step explanation:
d = s - 15
d + s = 63
Replace d with s - 15
s - 15 + s = 63
2s -15 = 63
2s = 78
s = 39
In an A.P. if Tₚ = q and Tq = p, then find the rth term.
Please solve this problem
Answers
Formula:
We know that
nth term of the AP is Tn = a+(n-1)d
Where, a = First term
d = Common difference
n = number of terms
Now,
Given that
pth term of the A.P. = Tp = q
⇛a + (p-1)d = q
⇛(p-1)d = q - a
⇛d = (q-a)/(p-1) →→→→(i)
and
qth term of the A.P. = Tq = p
⇛a + (q-1) d = p
⇛ (q-1)d = p-a
⇛ d = (p-a)/(q-1) →→→→(ii)
From Eqn(i) and Eqn(ii)
⇛(q-a)/(p-1) = (p-a)/(q-1)
On applying cross multiplication then
⇛(q-a)×(q-1) = (p-a)×(p-1)
⇛q²-q-aq+a = p²-p-ap+a
⇛q²-q-aq = p²-p-ap
⇛ap-aq = p²-p+q-q²
⇛a(p-q) = (p²-q²)-(p-q)
⇛a(p-q) = (p+q)(p-q)-(p-q)
⇛ a(p-q) = (p-q){(p+q)-1}
On cancelling (p-q) both sides then
⇛a = (p+q-1) →→→→Eqn(iii)
On Substituting the value of a in Eqn(ii) then
⇛ d = [p-(p+q-1)]/(q-1)
⇛d = (p-p-q+1)/(q-1)
⇛d = (-q+1)/(q-1)
⇛d = -(q-1)/(q-1)
⇛d = -1
We have,
a = p+q-1 and d = -1
Now, rth term of the AP
⇛ Tr = a + (r-1)d
⇛Tr = (p+q-1)+(r-1)(-1)
⇛ Tr = p+q-1+(-r+1)
⇛ Tr = p+q-1-r+1
⇛ Tr = p+q-r
Therefore, Tr = p+q-r
Answer: rth term of the given A.P. is p+q-r
Answer:
rth=q+p+qxp
Step-by-step explanation:
rth= 3 of the T and Tq added together and joined.
as the schools sign language interpreter kiran gets paid 35.50 for every parent-teacher conference that he attends. He also gets paid $42 per schhol-related assembly that he attends as an interpreter. If kiran earns $991 for 27 paid events how many parent teacher conferences and how many school related assemblies did he attend write a system of equations describe each variable and solve
Answers
Answer:
x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)
Step-by-step explanation:
This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.
x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.
35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.
This sets up the following system
x+y=27
35.50x+42y=991
To solve this, we first need to take the first equation and solve for y.
y=27-x
plug in to the second equation and solve for x.
35.50x+42(27-x)=991
35.50x-42x+1134=991
Collect like terms
-6.5x=-143
divide both sides by -6.5 to solve for x.
x=22
Back substitute into other original equation to solve for y.
22+y=27
y=5
The interpreter attended 22 parent-teacher conference and 5 school related assembly
To solve this problem, we would write out two set of linear equations.
The data given on this problem are
parent-teacher conference = $35.50school related assembly = $42The total number of engagements = 27Let x represent the number of parent-teacher conference
let y represent the number of school related conference
Equations[tex]x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)[/tex]From equation (i)
[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]
Put equation(iii) into equation (ii)
[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]
Put y = 5 into equation 1
[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]
From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.
Learn more on linear equations here;
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If f(x) is an exponential function where f(4.5) = 16 and f(9.5) = 60, then find
the value of f(15), to the nearest hundredth.
Answers
The value of f(15), to the nearest hundredth is 253.88
The standard exponential equation is given as:
y = ab^xf(x) = ab^xIf f(4.5) = 16, then;
16 = ab^4.5 ..............1
Similarly, if f(9.5) = 60, then:
60 = ab^9.5 ........................... 2
Dividing both equations will give:
60/16 = ab^9.5/ab^4.5
60/16 = b^9.5-4.5
60/16 = b^5
3.75 = b^5
b = 1.3
Get the value of a. Recall that;
60 = ab^9.5
60 = a(1.3)^9.5
60 = 12.09a
a = 60/12.09
a = 4.96
Get the value of f(15)
f()15 = 4.96(1.3)^15
f(15) = 4.96(51.18)
f(15) = 253.88
Hence the value of f(15), to the nearest hundredth is 253.88
Learn more on exponential functions here: https://brainly.com/question/12940982
Xavier has 29 baseball
cards he'd like to share
with his 3 best friends.
Each friend gets an equal
number of cards. How
many baseball cards will
be left over?
Math
Answers
Answer:
2
Step-by-step explanation:
29 % 3 = 9
3x9 = 27
29 - 27 = 2
Jesper can run 6 miles in 45 minutes. He is thinking about running in two different races, a 9-mile race and a 15-mile race. At his current rate, how many more minutes will it take Jesper to complete the 15-mile race than the 9-mile race?
Answers
Find minutes per mile by dividing time by distance:
45 minutes / 6 miles = 7.5 minutes per mile
Now multiply his speed by each distance:
7.5 x 9 = 67.5 minutes
7.5 x 15 = 112.5 minutes
Now subtract the two:
112.5 - 67.5 = 45 minutes more
It will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
Jesper's running speed is 6 miles in 45 minutes.
To find out how long it will take him to complete the races, you can use the formula:
Time = Distance / Speed
Let's calculate the times for both races:
For the 9-mile race:
Time = 9 miles / (6 miles/45 minutes)
= 9 × (45/6)
= 67.5 minutes
For the 15-mile race:
Time = 15 miles / (6 miles/45 minutes)
= 15 × (45/6)
= 112.5 minutes
The difference in time between the 15-mile race and the 9-mile race will be:
Difference = Time for 15-mile race - Time for 9-mile race
= 112.5 minutes - 67.5 minutes
= 45 minutes
So, it will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
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what is the value of x
Answers
Answer:
I Know the answer but it has too many steps-by-step explanation so I cant tell comment and mark me brainliest.
Step-by-step explanation:
Which of the following statements best describes the location of −(−1) on a number line? (5 points)
Question 6 options:
1)
It is 1 unit to the left of 0.
2)
It is 1 unit to the right of 0.
3)
It is 1 unit to the right of 1.
4)
It is 1 unit to the left of 1.
Answers
Answer:
It is 1 unit to the right of 0.
Step-by-step explanation:
Measure the paper clip to the nearest 1/8 inch.
A. 1 2/8 inches
B. 1 1/2 inches
C. 1 4/8 inches
D. 1 3/8 inches
Answers
Answer:
1 3/8 D
Step-by-step explanation:
The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?
It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.
So that resembles an average.
(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2
[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]
Now the trick is to invert the denominator (make it 1/2) and multiply
3/4 * 1/2 = 3/8
DASH
Hollywood Academy of Arts & Sciences
Select the correct answer. Press the Submit button.
Use the image and information you have read to answer.
How is the object in this image similar to the AUV
developed by engineers at MIT?
A
They both cause damage to deep-sea coral reefs.
B
They both stay motionless at all times.
They both must remain on the bottom of the ocean.
D They both squirt jets of water to hold their position.
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O
Answers
Answer:
The answer is b
Step-by-step explanation:
Happy holidays ;)
5x²-11x +6 . factories the expression
Answers
Answer:
5
x
2
−
11
(
x
)
+
6
Step-by-step explanation:
[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]
Please look for the question in the picture.
Answers
Carpet Company A
c = 1.35y + 100
where c is the cost and y is the number of square yards.
Carpet Company B
This company charges $2.05 per square yard for the carpet and the installation.
Identify the unit rate in dollars per square yard for each carpet company.
Answers
Answer:
2.45
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answers
Answer:
See explanation
Step-by-step explanation:
Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)
G (-1, 3) G' (-1.5, 4.5)
F (-2, -2) F' (-3, -3)
G'x / Gx = -1.5/-1 = 1.5
G'y / Gy = 4.5 / 3 = 1.5
F'x / Fx = -3 / -2 = 1.5
F'y / Fy = -3 / -2 = 1.5
Subtract 8−2x from 3−6x . Enter your answer by filling in the boxes. $$
Answers
Answer:
-4x-5
Step-by-step explanation:
(3-6x)-(8-2x) = 3-8+2x-6x = -4x - 5
Find the product of 5 and 539.
Answers
Answer:
Step-by-step explanation:
5*539=2695The product of 5 and 539 is 2695
What does it mean to find the product of numbers:Finding the product of numbers simply means multiplying 2 or more numbers.
Therefore, the product of 5 and 539 can be done as follows:
5 × 539Multiplication or product sign is denoted as ×.
Therefore,
5 × 539 = 2695
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What is the conjugate?
a - square root of a - 1
Answers
The conjugate of the expression a - square root of a - 1 is given as follows:
a + square root of a - 1
How to obtain the conjugate of an expression?The conjugate of an expression is obtained for an expression that has two terms.
For the conjugate, we have that:
The signal of the first term is kept.The signal of the second term is inverted.The expression is given as follows:
a - square root of a - 1
The parameters are given as follows:
First term of a.Second term of square root (a - 1).Inverting the - sign to a + sign, the conjugate expression is given as follows:
a + square root of a - 1
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The table shows the proof of the relationship between the slopes of two parallel lines. What is the missing reason for step 2?
A.
Pythagorean theorem
B.
application of the distance formula
C.
application of the slope formula
D.
transitive property
Answers
The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As we know,
Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
From the graph of two parallel lines:
r ║ s
The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.
Learn more about the distance formula here:
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Complete the explanation of how you can use a table of values, an equation, and
a qraph to determine whether a function represents a proportional relationship.
Answers
Answer:
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Answers
[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]
=====================================================
Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)will dilate to the corresponding image points
V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answers
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.