An equilateral triangle has a height of 6 centimeters. What is the exact length of one of the sides of the triangle?
4 cm
O 23 cm
O 2 cm
O 473 cm
Answers
Answer:
The length of each side of the equilateral triangle is 6.93 cm.
Step-by-step explanation:
Check the image uploaded for diagram;
The length of each side of the equilateral triangle is y;
Apply Pythagoras theorem to determine y;
[tex]y^2 = 6^2 \ + \ (\frac{y}{2} )^2\\\\y^2 = 36 \ + \ \frac{y^2}{4} \\\\multiply\ through \ by \ 4;\\\\4y^2 =144 \ + \ y^2\\\\4y^2 - y^2 = 144\\\\3y^2 = 144\\\\y^2 = \frac{144}{3} \\\\y^2 = 48\\\\y = \sqrt{48} \\\\y = 6.93\ cm[/tex]
Therefore, the length of each side of the equilateral triangle is 6.93 cm.
A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
What is equilateral triangle?A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The relation between the height and the side of the equilateral triangle can be given as,
[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]
Given information-
An equilateral triangle has a height of 6 centimetres.
The side of the equilateral triangle which has a height of 6 centimetres can be calculate using the above formula. Thus,
[tex]a=\dfrac{2\times6}{\sqrt{3} }\\a=\dfrac{12}{3} \\a=4[/tex]
Thus the side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
Learn more about the equilateral triangle here;
https://brainly.com/question/1099318
Related Questions
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Which of the following is the cube of ( 2x - 1)?
a. 8x + 12x + 6x +1
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Answers
Answer:
[tex]7x^{2} -6x-216[/tex], [tex]8x^{3} -12x^{2} +6x-1[/tex]
Step-by-step explanation:
For question 1, use the FOIL method. [tex]7x^{2} -6x-216[/tex]
For question 2, also use the FOIL method - the answer is [tex]8x^{3} -12x^{2} +6x-1[/tex]
Hope I helped! Check out my profile for more answers!
Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $67.50 in interest how long did she leave the money in the account
Answers
Answer:
5.66 years
Step-by-step explanation:
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450 x 1.025^(n) = 517.50
1.025^(n) =(517.50 / 450)
1.025^(n) = 1.15
n = ln(1.15) / ln(1.025)
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Answer:meep
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Estimate the product by first rounding each number to the highest place value. 26.7 × 4.8
Answers
Answer:
150
Step-by-step explanation:
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Answer:
130
Step-by-step explanation:
you times 16.7*4.8 to get 128.16
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round again to get 128
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please help me please i really need help please
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Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
. Which of the following is equal to
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a 10km
b 100km
c 1000km
d 10000km
e none of the above
Answers
Answer:
a 10 Km
Step-by-step explanation:
10 Km= 10×10³= 10000
en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender
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Answer:
Que? No se.
Step-by-step explanation:
Answer:
805
Step-by-step explanation:
Find the area of the area of the following figure please answer I’ll make Brainly
Answers
Answer: 91
Step-by-step explanation:
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-4-2-2) - 2x + 5 = 31
Answers
Answer:
2x+5=31 is the most common correct answer
How many terms are in this expression?
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Answers
Answer:
2 terms
Step-by-step explanation:
2
Hope this helps :)))))
x=?..................
Answers
228-180=x=48
Step-by-step explanation:
since x is alternating with the 228- the angle and angles on a straight line is equal to 180 therefore x is 228 - 180 which is equal to 48
There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?
Answers
Answer:
12
Step-by-step explanation:
let x be the number of men
4:7 = x:21
4/7 = x/21
7x = 84
x = 12
Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2
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Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.
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Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Time taken = 2 hours 18 minutes
18 / 60 = 0.3 hours
Hence, time taken = 2.3 hours
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Speed = 26.2 / 11.3 = 11.39 mi/hr
Hence, according to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39
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Mr. O. ran the Disney Marathon the AB AP is (0, 2.3) and (t, 2.3).
Given Data: Time taken = 2 hours 18 minutesTime taken =18 / 60
Time taken = 0.3 hours
Hence,
time taken = 2.3 hours
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Speed = 11.39 mi/hr
According to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)
Thus, the AB and AP is (0, 2.3) and (t, 2.3)
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https://brainly.com/question/10410395?referrer=searchResults
A bottle holds 24 ounces of water. It has x ounces in it.
Answers
Answer:
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Answer:
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Step-by-step explanation:
Too complicated to explain.
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HELP PLEASE. <3.
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Answer:
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It holds 10.5 more laundry soap
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Answer: THIS BECAME KNOWN AS COLES LAW
Step-by-step explanation:
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
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Answer:
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Answer:
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Step-by-step explanation:
Daniel invests £2200 into his bank account.
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Answers
Answer:
I = $ 220.00
Step-by-step explanation:
I = $ 220.00
Equation:
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First, converting R percent to r a decimal
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Use substitution to solve the systems
y=5x
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Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
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We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied
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Step-by-step explanation:
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In this question:
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Education level is a type of categorical variable.
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James wants to tile his floor using tiles in the shape of a trapezoid. To make
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10
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4
7a) Enter ONLY the numerical value of your answer below. If there are more than
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Answers
martemat 20 e7 72gsys y3823 485 u
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Show your steps to solve the equation
Answers
-2x = -40
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10-2x=-40
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-2x=-40
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mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest
Answers
Step-by-step explanation:
hope it helps u...........
Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. We take a simple random sample of 36 seniors and calculate the sample mean homework hours per week. If you discover that Northside High has only 200 seniors, which of your three answers would no longer be correct
Answers
Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]
If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answers
Answer:
Rounded to the nearest integer, there are 32 boxes of labels left.
Step-by-step explanation:
Since there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain, we can determine how many boxes of labels remain through the following mathematical operations:
3/4 = 0.75
100 = 125
25.75 = X
25.75 x 125/100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, there are 32 boxes of labels left.
Information on a packet of seeds claims that 93% of them will germinate. Of the 180 seeds that I planted, only 167 germinated. Compute a 95% two-sided Agresti-Coull CI on the proportion of seeds that germinate. Use as a point estimator p^ the proportion of seeds that germinated during the experiment. Round your answers to two decimal places (e.g. 98.76).
Answers
Answer:
The 95% CI on the proportion of seeds that germinate is (0.89, 0.9256).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 180 seeds that I planted, only 167 germinated.
This means that [tex]n = 180, \pi = \frac{167}{180} = 0.9278[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9278 - 1.96\sqrt{\frac{0.9278*0.0722}{180}} = 0.89[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9278 + 1.96\sqrt{\frac{0.9278*0.0722}{180}} = 0.9256[/tex]
The 95% CI on the proportion of seeds that germinate is (0.89, 0.9256).
