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;
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A bottle holds 24 ounces of water. It has x ounces in it.
Answers
Answer:
a..x is what’s already in the bottle so 24-x= the number of ounces needed to fill the bottle
b.. 24-x= 12.....how many ounces is x
(don’t know if this question works)
Answer:
If a bottle holds 24 ounces of water, it has 24 ounces of water in it.
x=24
Step-by-step explanation:
Too complicated to explain.
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]
James wants to tile his floor using tiles in the shape of a trapezoid. To make
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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
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Answer:
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Step-by-step explanation:
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Answer: THIS BECAME KNOWN AS COLES LAW
Step-by-step explanation:
We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied
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Answer:
Categorical data.
Step-by-step explanation:
Variables can be classified as:
Quantitative: If the variable assumes numeric values.
Categorical: If the variable assumes labels.
In this question:
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Education level is a type of categorical variable.
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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
Sovle: 10 -2x = -30
Please use subsitution
Show your steps to solve the equation
Answers
-2x = -40
2x = 40
x = 20
answer: x=20
10-2x=-40
-10. -10
-2x=-40
-2x/-2=-40/-2
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Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2
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Calculus AB AP
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 ;
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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 ;
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A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
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HELP PLEASE. <3.
Answers
Answer:
52,5
It holds 10.5 more laundry soap
One way is to multiply 42 x 0.25 = 10.5. That tells us how many ounces are added. Then add 42 + 10.5 = 52.5 ounces
The other way is to multiply 42 x 1.25 = 52.5
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Let me know if you have questions.
Find the area of the area of the following figure please answer I’ll make Brainly
Answers
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Step-by-step explanation:
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2
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
hope it helps u...........
10
४|
x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
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martemat 20 e7 72gsys y3823 485 u
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Answers
Answer:
a 10 Km
Step-by-step explanation:
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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:
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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
Answers
Answer:
Que? No se.
Step-by-step explanation:
Answer:
805
Step-by-step explanation:
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:
450 x 1.025^(n) = 450 + 67.50
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)
n = 5.66
Answer:meep
Step-by-step explanation:
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Answers
Answer:
.001 or 1000
Step-by-step explanation:
5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000
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Answers
1.(-1,-5)
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Find the product of (X-6) (x + 6x + 36).
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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]
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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).
Estimate the product by first rounding each number to the highest place value. 26.7 × 4.8
Answers
Answer:
150
Step-by-step explanation:
26.7 round to 30
4.8 rounds to 5
30x5 = 150
Answer:
130
Step-by-step explanation:
you times 16.7*4.8 to get 128.16
you round to get 128.2
round again to get 128
round again to get 130
that is all you can round up
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
-4-2-2) - 2x + 5 = 31
Answers
Answer:
2x+5=31 is the most common correct answer
3b +2f = 21.50 What is the Answer for B and F
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
b=7.1¯6−2f/3
Isolate the variable by dividing each side by factors that don't contain the variable.
f=10.75−3b/2
Step-by-step explanation:
Daniel invests £2200 into his bank account.
He receives 5% per year simple interest.
How much will Daniel have after 2 years?
Answers
Answer:
I = $ 220.00
Step-by-step explanation:
I = $ 220.00
Equation:
I = Prt
Solve:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2200 × 0.05 × 2 = 220
I = $ 220.00
The simple interest accumulated
on a principal of $ 2,200.00
at a rate of 5% per year
for 2 years is $ 220.00.