Answers
Exact Answer: x = 16/3
Approximate Answer: x = 5.333
=======================================================
Work Shown:
base = 3x-1
height = x
area of triangle = (base*height)/2
40 = x*(3x-1)/2
40*2 = 3x^2 - x
80 = 3x^2 - x
0 = 3x^2 - x - 80
3x^2 - x - 80 = 0
Now apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]
A negative height doesn't make sense, so we ignore x = -5
The only solution is x = 16/3 which approximates to x = 5.333
Related Questions
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer choices are
3/2
3/4
1/2
-1/4
-1/2
Answers
Answer:
A. 3/2
Step-by-step explanation:
When two exponents have the same base, you can cancel the bases and set the exponents equal to each other
3x-2=x+1
3x=x+3
2x=3
x=3/2
Below is how I did it
if you roll a dice one time what is the probability for it to land on a number greater than 2
Answers
Answer:
4/6
Step-by-step explanation:
This is because there is 6 sides to a dice and the side with 1 and 2 are the only sides with numbers less than 2. So only 4 sides out of the 6 can be greater giving the answer 4/6!
Help! it's easy but I need help
Answers
Answer:
no lol
Step-by-step explanation:
Answer:
i will tell you what to do and then you do the work
Step-by-step explanation:
arrange the numbers from lowest to largest
count the amount of numbers to find how many students wrote each test
to find the mean add all of the numbers up then divide by the amount of numbers there are
to find the mode it that is the number that appears the most or the most common value
to find the median is the middle number, when you put it from lowest to largest, it will be the middle number
hope this helps
Jay wants to spend less than $80 He plans to buy a pair of jeans that cost $19.99 and some shirts that cost \$14.99 each Write an equation or inequality to represent the number of shirts Jay can buy Define all variables used • What is the greatest number of shirts that Jay can buy while spending less than $80 ? Show your work
Answers
Answer:
give me brainllest if it is right
a. $19.99 + $14.99 = $34.98
b. Jay can buy 5 shirts without spending more than $80
Step-by-step explanation:
Fill in the blank to complete this trig
ratio.
y
tan a =
a
Х
[?]
B
N
B
С
у
Z
Answers
Answer:
z/y
Step-by-step explanation:
Please help me thanks
Answers
Answer:
5
Step-by-step explanation:
If you multiply the square root of any number by the square root of the same number you get that number.
7676767676767676767676767
Answers
Answer:
uhhh is this a trick question lol
have a good day :D
Step-by-step explanation:
a plastic box contains balls of different colors. among them, 18 balls were chosen. what does the number 18 represent?
Answers
Answer:
the amount of that were pulled out
Step-by-step explanation:
the length of a rectangle is twice its width if the perimeter of the rectangle is 72 inches, find its area.
Answers
length = 2 x width
permiter = length x width x 2
perimeter = 72
72 ÷ 2 = 36
36 = 1 length and 1 width
(2 x width) + width = 36
width = x
2x + x = 36
3x = 36
x = 12
width = 12
length = 2 x width = 2 x 12 = 24
so
width = 12
length = 24
IF YOU HELP ILL GIVE U FREE COOKIE Charlotte earns 212 minutes of playing video games for every 5 math homework problems she completes. Tonight's homework has a total of 24 math problems. What is the MOST time she will be able to play video games tonight? PLEASE HELLPPPPp
Answers
Answer:
16.96hrs or 1017.6mins
Step-by-step explanation:
24 / 8 = 4.8
212 x 4.8 = 1017.6 mins
16.96 hours
A wise man once said, "500 reduced by 4 times my age is 188." What is his age?
Answers
Answer:
125
Step-by-step explanation:
Answer:
He Is 78 Years Old.
Step-by-step explanation:
a = age
Solve for a in 500 - 4a = 188.
Simplify 500−4a=188.
500−4a=188
500+−4a=188
−4a+500=188
Subtract 500 from both sides.
−4a+500−500=188−500
-4a = -312
Divide both sides by -4.
[tex]\frac{-4a}{-4} =\frac{-312}{-4}[/tex]
a = 78
Answer:
He Is 78 Years Old.
What percent df 160 is 56? Use the percent bar model.
Answers
Answer:
35%
i think
Step-by-step explanation:
if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).
Answers
Step-by-step explanation:
[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]
I will give brainliest to the first person to answer the question! Please be correct and please help <33
Answers
Answer:
112.25
Step-by-step explanation:
Answer:110.25
Step-by-step explanation:
1.On field day, the P.E. coach divides the students into two groups, Positives and Negatives. He wants to have the same amount of students of each group on each side of a rope, to play Tug-of-War.
He uses the following expression to figure out how many students of a certain group he still needs to create an even match.
–5 + 20
Evaluate the expression and write the answer below. Write only a number, either positive or negative. No letters
Answers
Answer:
-15
Step-by-step explanation:
because -5 + 20 = -15.
The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)
What is the distance between (-2,-8)(7,-3)
Answers
Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]Write an explicit function in terms of n that describes the following sequence:
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Answers
Answer:
aₙ = -2(2)^(n-1)
Step-by-step explanation:
Forty-five percent of what number is 15.75?
Answers
45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.
Answer:
35
Step-by-step explanation:
15.75 / 0.45 = 35
I just need help in this last question plsssss
Answers
Answer:
B) 0.8
Step-by-step explanation:
If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.
P (A) * P (B) = 0.8 x 1 = 0.8
What are all the zeros of the function f(x) = 4x^2 + 8x + 3?
Answers
Answer: -1/2 and -3/2
Step-by-step explanation:
I think I’m not sure
Which ones the right answer?
Answers
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
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With Company A, you can take a 2.25 hour helicopter ride for $ 270.
With Company B, you can take a 90-minute helicopter ride for $ 180.
Which of the two helicopter companies gives you the best ride for your money?
Answers
Answer:
B
Step-by-step explanation:
I already take this question before
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Answers
Answer:
I think it is B or 17 ft
Step-by-step explanation:
Hope this helps. Tell me if I'm wrong
Answer: Probably 30
Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.
Kyle spends $44 for four sweatshirts.
Answers
Answer:
I think the answer is B. sorry if its wrong..
Step-by-step explanation:
Answer:
Bar C and the equation 4y = 44
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Answers
i will give brainiest if correct please hurry!!
You flip a coin 50 times and get 26 tails. What is the experimental probability of flipping heads? Write your answer as a simplified fraction or a percentage.
Answers
Answer:
12/25
Step-by-step explanation:
If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.
PLS ILL MARK BRAINLIEST (100 points)
Answers
Answer:
For part A:
9x² - 36x + 36 = 0
9(x² - 4x + 4) = 0
9(x-2)(x-2) = 0
Radicand = Discriminant = 36² - 4(9)(36) = 0
there is 1 real zero that repeats itself)
zero is x=2.
Use factoring. Factors of 7 are 1 and 7
2x²-9x+7 = 0
(2x-7)(x-1) = 0
2x-7 = 0 (x-1)=0
2x = 7x=1
x = 7/2
Your solutions are x = 1 and x = 7/2
Step-by-step explanation:
5.
A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
A. The balloon starts at a height of 0 ft and rises at a rate of 10 ft.
B. The balloon starts at a height of 10 ft and rises at a rate of 0 ft.
C. The balloon starts at a height of 0 ft and rises at a rate of 100 ft.
Answers
Answer:
Step-by-step explanation:
the balloon starts at a height of 0 ft and rises at a rate of 100 ft.
HElP NEED ANSWER FAST WILL GIVE BRAIN
Answers
Answer:
c
Step-by-step explanation:
Slope of the line that passes through (8,-9) and (14,-9)
Answers
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)
m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0