PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.
Answers
x^2 = 625 - 484 <=>
x^2 = 141 <=>
x = 11.9
The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given triangle has a hypotenuse of 25 units and a height of 22 units.
Therefore,
Hypotenuse² = Base² + Height².
Base² = Hypotenuse² - Height².
Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].
Base = [tex]\sqrt{25^2 - 22^2}[/tex].
Base = [tex]\sqrt{625 - 484}[/tex].
Base = [tex]\sqrt{141}[/tex].
So, The length of the base is [tex]\sqrt{141}[/tex] units.
learn more about Pythagoras's theorem here :
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Related Questions
I’m doing a percent equation and I need help here is the question 90% of blank =72
Answers
Answer:
80
Step-by-step explanation:
90/100*x=72
9/10*x=72
x=72*10/9
x=80
Can Someone Tell Me If I will Pass My 7th Period With The Grades I Have for semester 1 A+M1, BT1, FM2, DT2, FSemExam, C+S1 Grade? someone plz tell me
Answers
Answer
If u fail the 3 main courses math, ela, and social studies you would fail, but two F's I dont think ur going to fail good luck though
Step-by-step explanation:
A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .
Answers
Solution :
Sample size Sample mean Sample S.D.
Sample 1 [tex]$n_1=36$[/tex] [tex]$\bar{x}_1=150,000$[/tex] [tex]$s_1=17,000$[/tex]
Sample 2 [tex]$n_2=45$[/tex] [tex]$\bar{x}_2=100,000$[/tex] [tex]$s_2=12,000$[/tex]
[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]
= 60
Therefore, significance level, α = 0.1
Critical value, t* = 1.6706
So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]
= 559.9896
Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]
Upper limit, [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]
Therefore 90% C.I. is (44402.0104, 55597.9896) or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]
Write the equation for the line
Answers
Answer:
y=4x+3
Step-by-step explanation:
The slope is positive 4 and the y intercept is 3
Answer:
y = 4x + 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4
The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3
Input the numbers in the equation and it's y = 4x + 3
The expression
*3 + 2x2 + x + 6
is equivalent to
x + 2
(3) 2x2 + x + 6
(1) x2 + 3
4
4
(2) x2 +1 +
x + 2
(4) 2x2 + 1 +
+ 2
Answers
Answer:
(2) x2+1+4/x+2
Step-by-step explanation:
I hope i am right sorry if i am wrong.
The division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
f(x) = (x³ + 2x² + x + 6)/(x + 2)
The given expression is -
f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)
f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)
f(x) = x² + (x + 6)/(x + 2)
f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)
f(x) = x² + 1 + 4/(x + 2)
Therefore, the division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
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1680 at 12% for 6 months
Answers
Answer:
Could you please expand on your question? Once you do I will edit the answer I put (this) to telling the answer. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answers
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
The schools says they will take the students to see the movie with more than 30% of the votes. Which type of movie will the 7th graders be seeing? Explain your reasoning.
7th grade movie votes:
drama-3
comedy-8
action-4
Work:
Fraction Drama:
Fraction Comedy:
Fraction Action:
Convert to Percent:
Answers
Now put that on the bottom for your fractions 3/15 8/15 4/15 because you need to find the percentage of the whole 7th grade.
Now to get each% divide the top number by the bottom.
3/15=.2
8/15=.53
4/15=.25
Then times each decimal by 100 to get the decimal converted to percentage.
So 53% voted for comedy.
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answers
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
According to a recent survey, 81 percent of adults in a certain state have graduated from high school. If 15 adults from the state are selected at random, what is the probability that 5 of them have not graduated from high school?
Answers
Answer:
0.090401
Step-by-step explanation:
Given that:
Probability of graduate = 81% = 0.81
P( not graduate) = p = (1 - 0.81) = 0.19
1 - p = 0.81
Using binomial distribution :
P(x = x) = nCx * p^x * 1-p^(n-x)
n = 15 ; x =5
P(x = 5) = 15C5 * 0.19^5 * 0.81^(15 - 5)
P(x = 5) = 15C5 * 0.19^5 * 0.81^10
P(x = 5) = 3003 * 0.0002476099 * 0.12157665459056928801
P(x = 5) = 0.090401
Answer:
D: (15/5) (0.19)^5 (0.81)^10
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equations?2x−5y=13
−3x+2y=13
A. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations.
B. Subtract the bottom equation from the top equation
C. Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Answers
Answer:
We conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
Step-by-step explanation:
Given the system of the equation
2x−5y=13
−3x+2y=13
Multiply the top equation by 33(2x−5y) = 3(13)
6x - 15y = 39
Multiply the bottom equation by 22(−3x+2y) = 2(13)
-6x + 4y = 26
Adding both equations
6x - 15y = 39
+
-6x + 4y = 26
___________
0x - 11y = 65
-11y = 65 ∵ x variable eliminates
Divide both sides by -11
y = -65/11
Therefore, we conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
The diagram below shows a rectangular sheet of cardboard with 2 circular
pieces cut from it. The radius of each of the circular pieces is 3cm. Find the
area of remaining card.
Answers
Answer:
Two sector of 90 degree cut out(90*2=180 degree) means semicircle
perimeter of circle= 2πr
= 2*22/7*3=18.85 cm
perimeter of semicircle=18.85/2=9.42 cm approx
3cm =
Explanation - solve the function operation
Maria made 252 calls in 36 days. What is the average number of calls he made in a day?
Answers
Answer:
7 calls in a day
Step-by-step explanation:
You divide 252 by 36 which equals 7
Answer:7 calls in a day
Step-by-step explanation:
Briefly describe this graph of a Ferris wheel.
A graph has time on the x-axis and height on the y-axis. The graph increases and decreases through 4 cycles.
Answers
Answer:
As time increases, the height of the person riding the Ferris wheel goes up and down. The Ferris wheel makes 4 rotations. The highest points on the graph are when the Ferris wheel is at its highest height. The lowest points on the graph are when the Ferris wheel is at the starting position.
Step-by-step explanation:
Answer:
The Ferris wheel makes 4 rotations. The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom. This is what it said
step-by-step explanation:
Sample question endogeneity 2021
i need some help with this
Answers
Answer:
a) 6.1 feet
b) 12.6 feet
Step-by-step explanation:
Using trigonometric ratios we know that:
[tex]sin = \frac{opp}{hyp}\\cos = \frac{adj}{hyp}\\tan = \frac {opp}{adj}[/tex]
AKA SohCahToa.
To find the height, we will use sine.
[tex]sin(26^o)= \frac{x}{14}\\14*sin(26^o)=\frac{x}{14}*14\\14sin(26^o)=x\\x=6.14[/tex]
To find the length we will use cosine.
[tex]cos(26^o) = \frac{x}{14}\\14*cos(26^o)=\frac{x}{14}*14\\14cos(26^o)=x\\x=12.6[/tex]
Help please
Show two different ways to factor
-2x - 10
Answers
When Earth is tilted towards the Sun we receive BLANK Sun rays
A. Direct
B. Indirect
Answers
Answer: i think A. Direct
Which decimal represents the shaded portion?
Answers
Answer: 1.4
Step-by-step explanation:
1 of 4 are shaded.
( not sure but i think)
Only 1/4th is shaded, .25 is a fourth of the whole
x2 + 10 = 6
may i quickly have this answer?
Answers
Answer:
If that is [tex]x^{2} +10=6[/tex] then answer is [tex]x=\pm2i[/tex]
If that is [tex]2x+10=6[/tex] then answer is [tex]x=-2[/tex]
a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers
Answers
Answer:
0.96
Step-by-step explanation:
Answer:
If you're asking how much it would cost then
Nathan purchased 1/3 pounds of crackers for 0.96$
Step-by-step explanation:
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answers
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
It took Melanie ⅓ of an hour to ride her bike 2¾ of a mile. How many miles per hour can Melanie ride her bike?
Answers
Answer:
8.25 or 8 [tex]\frac{1}{4} \\[/tex]
Step-by-step explanation:
The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x.
An equation is
=14.
Answers
Answer:
The answer is (2+7)*2
Step-by-step explanation:
as you can see the you have to add the bottom to the top then multiply the answer by the height to what i did was i seen if there was anything that can add to 7 with the number 2 and 5 was so put 5 at the top and multiply 7 times two you get 14
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *
whoever answers this first gets 16 points and a brainliest
Answers
Answer:
18.1333%
Step-by-step explanation:
I THINK this is the answer,
A farmer bought a tractor for Rs 400000 and sold it
after 2 years at 10% depreciation rate per year.
What is the cost of tractor after 2 years? Find.
Answers
Step-by-step explanation:
Hope my answer helps mark me brainliest
Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5
3x + 2y = 6
2x + y = 6
5x + 3y = 4
drag & drop the answer
-2
3
-3
0
2
2
Answers
9514 1404 393
Answer:
3, 0, 2, -2
Step-by-step explanation:
Put x=2 into each equation and solve for y.
2 + y = 5
y = 5 -2
y = 3
3x +2y = 6
3·2 +2y = 6
2y = 6 -6 = 0
y = 0
2x +y = 6
2·2 +y = 6
y = 6 -4
y = 2
5x +3y = 4
5·2 +3y = 4
3y = 4 -10 = -6
y = -2
Find the slope of a line parallel to y = 1/2x + 3.
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
hope this helps
Answer:
Slope = 1/2
Step-by-step explanation:
Parallel lines have same slope.
Slope = (1/2)
Can you help meh pls
Answers
Select the correct answer.
Which equation is equivalent to the formula below?
y = a(x-h)^2+k
Answers
Answer:
a=y-k/(x-h)^2
after 1 1/2 hours Chris had collected 1/4 cup of water what is the rate in cups per hour
Answers
Answer
0.167 cups per hour
Step-by-step explanation: