Find the area of an equilateral triangle with a side length of 16 centimeters. Round to the nearest tenth.
Answers
As we know that the area of an equilateral triangle with side a is given by ;
[tex]{\boxed{\bf{Area_{(equilateral)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]So , now using formula in our question, putting the value of the side, we can thus obtain
[tex]{:\implies \quad \sf Area=\dfrac{\sqrt{3}}{4}(16)^{2}}[/tex]
Putting value of √3 ≈ 1.73 and cancelling 4 we have ;
[tex]{:\implies \quad \sf Area\approx 1.73\times 64}[/tex]
[tex]{:\implies \quad \sf Area\approx 110.72\:\: cm^{2}}[/tex]
[tex]{:\implies \quad \sf Area\approx 110.7\:\: cm^{2}}[/tex]
This is the required answer
Related Questions
If 1 thousand dollars gets you 15 million toys how many toys can I buy with 40,000 dollars?
Answers
Answer:
600 billion toys
Step-by-step explanation:
40,000 × 15,000,000 = 600,000,000,000
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 59 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98 ? Round your answer to 4 decimal places, if necessary.
Answers
Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.13[/tex]
[tex]Z = -0.13[/tex] has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Help!!!!!! Quick
Evaluate (x + y)° for x = -3 and y = 5.
- 1/2
2
1
O
Answers
Answer:
it is 1
Step-by-step explanation:
The power of 0 causes all numbers to negate to 1.
Anything to the power of 0 is 1
For example:
(10)^0 = 1
pls help answer this
if the circumfrence if a circular sheet is 154 then find the radius and area.
take π as 22/7
Answers
Answer:
1886.5
Step-by-step explanation:
2πr=154
2*22/7*r=154
44/7r=154
44r=1078
r=24.5
now,
area=πr²
=22/7*(24.5)²
=1886.5
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk?
The number of times Angela needs to fill the 1/4-cup measuring 1/2 cup to pour cup of milk is?
Answers
Answer:
2
Step-by-step explanation:
Answer:
(1 / 2 US cups) / (1 / 4 US cups) = 2
Step-by-step explanation:
PLZ MARK Brainliest
Rami is thinking of a number that contains the digit 9. The digit 9 in Rami's number has 10 times the value of the digit 9 in the number 384,293.
Which number could be the number that Rami is thinking of?
127,903
289,302
490,374
903,852
Answers
Which of the following graphs is a function?
Answers
Answer:
a
Step-by-step explanation:
because of the line test
Last year 123 students left a college with a pass in English.
This year 27 more students than last year left the college with a pass in English.
The college says
'The number of students leaving college with a pass in English has increased by 24% from last year!
(a) is the college correct?
Show why you think this.
Answers
Answer:
yes, (I think)
because 27 more students left this year with a pass and last year the percentage would of been lower I don't know
The college is incorrect, it is 28.125%
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
No. of students in college in last year = 123 -27 = 96
The number of students leaving college ratio = (27/96)×100%
⇒0.28125×100%
⇒28.125%
The college says,
'The number of students leaving college with a pass in English has increased by 24% from last year
Hence, The college is incorrect, it is 28.125%
Learn more about percentage
brainly.com/question/24159063
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A box contains 3 blue and 2 red balls
Another contains 2 blue and 1 red .One ball is drawn from each bag
Find the probability
Both balls are white
The two balls are of the same color
The two balls are of different color
Answers
Answer:
two balls are of the same color
Step-by-step explanation:
5 blue and 3 red. so its not the same number of each. and there is no white balls.
Dan loves to compete in triathlons. At a race a few months ago, he finished in 300 minutes. Yesterday, he completed another triathlon and finished in 306 minutes. What was the percent of increase in Dan's finishing time?
Answers
Answer:
2%
Step-by-step explanation:
If 300 minutes is 100%, how much percent is 306 minutes?
we need to use the rule of three
306 minutes x 100% / 300 minutes = 102%
Therefore the percent of the increase is 102%-100%= 2%
WILL MARK AS BRAINLIEST!!
Answers
Answer:
Put an open circle on 5 and have the arrow point in the positive direction.
Step-by-step explanation:
Answer:
a > 5 or a ∈ ( 5 , ∞ )
Step-by-step explanation:
In Jamie's town, there are 42,812 adults and 12,358 children. About how many more adults than children are in Jamie's town?
Answers
Answer:
30454
Step-by-step explanation:
subtraction on a calculator
42812-12358=30454
Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answers
Answer:
8 x 8 =64 + 16 x 8 = 128 =$192
Step-by-step explanation:
Angle MNP ~ Angle HJK. Both triangles are isosceles. If m
Answers
Because it could be 45,45,90
-35 POINTS- A bag contains 30 cards numbered 1 to 30. You are going to select one card, replace the card, and then draw a second card. What is the probability you will draw a 4 and then a number less than 10? Simplify your answer.
Answers
Answer:
36
Step-by-step explanation:
you simplify 26 simplify it again and the simplify answer is 36
Answer:
1 / 100. is the answer. got it correct.
Step-by-step explanation:
[tex]\binom{dy}{dx} \sqrt{x} [/tex]
find the derivative of x
Answers
y’ = 1/2*x^(-1/2)
solve this 28 - x = 24
Answers
Answer:
=> 28 - x = 24
=> x = 24 - 28
=> x = -4
therefore, 28 - 4 = 24
what is 1/3-(-5/3)=
Answers
Answer:
1/3 - (-5/3) = 2
Step-by-step explanation:
1/3 - (-5/3)
Subtracting a negative is the same as adding a positive.
1/3 + 5/3 = 6/3, or 2
A grocery store sells sliced turkey. The graph shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey. Two points, R and W, are labeled on the graph shown below.
Answers
Answer:
The correct option is ⇒ Point W means that that unit rate is $2.5 per pound.
Step-by-step explanation:
The question missing the graph and the options
The options for the questions are:
1) Point R means that that unit rate is $10 per pound.
2) Point R means that that unit rate is 4 pounds per dollar
3) Point W means that that unit rate is $2.5 per pound.
4) Point W means that that unit rate is 2.5 pounds per dollar.
And see the attached figure.
As shown in the figure attached
The unit rate will be the total cost per weight
By calculating the unit rate for the graph = (y2-y1)/(x2-x1)
using the given points (4,10) , (1,2.5)
the unit rate = (10-2.5)/(4-1) = 7.5/3 = 2.5
The unit rate means that it will cost $2.5 per pound and this is a gree with the point W which have the same meaning.
So, The correct answer is option 3.
Step-by-step explanation:
0.28N − 0.86(N −4.70) = 8.02
Answers
Help plz and thank u
Answers
Answer:
4
Step-by-step explanation:
Slope = 4
(0,-1) and (1,3)
What is 1,035 divided by 5 and what is 1,766 divided by 8?
Answers
Jsjsjsisiwiejsbdijdnwnsks
Answer:
1,035 divide by 5 = 207
1,766 divide by 8 = 220.75
Can someone explain what is domain and range? Gcse math level please
Answers
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3} take a look at the picture e.g Here, the domain is the set {A,B,C,E}
{
A
,
B
,
C
,
E
}
. D
D
is not in the domain, since the function is not defined for D
D
.
The range is the set {1,3,4}
{
1
,
3
,
4
}
. 2
2
is not in the range, since there is no letter in the domain that gets mapped to 2
2
.
Calculate the distinct permutation of the word "Math"
Answers
Letters are
MATHNo repetitions
n=4Distinct permutation:-
n!4!4×3×2×124The sum of three consecutive integers is -561. What are the
integers?
I
Answers
Answer:
-188, -187, -186
Step-by-step explanation:
x + (x+1) +(x+2) will usually be the formula for questions like this. If there wer 4 consecutive numbers, you just add (x+3) and so on.
The three integers are:
x + (x+1) + (x+2) Simplify this :
3x+3 = -561 Get 3x by itself, subtract 3 on both sides:
-3 -3
3x = -564 Find x divide -564 and 3:
x = -188
-188 is the first number now you count up.
-188 is the first number, -187 is the second, -186 is the third.
Hope this helps : )
In Table 2. at this rate, how much would it
cost to buy 9 books?
(dont mind about the cups of flour)
Answers
You divide 6 from 10 so 10➗6= X and the you multiply X by 9
100 divide by 37
Can yall help me on this one?
Answers
What is the value of x?
Can someone help Idk how to do this??
Answers
Answer:
x=92
Step-by-step explanation:
360-60-90-73-45=92
Help me! Please! I’ll mark you brainless
Answers
I'm not sure but I think the answer is - 1/2
Emilliano thinks x =40 is the solution to the equation 1/2 x =80. explain why he is wrong
Answers
Answer/Step-by-step explanation:
Given:
Emiliano thinks x = 40 is the solution to the equation 1/2x = 80
Note:
An equation is the statement that equalizes two mathematical expressions.
An expression is the combination of variables and constants connected with mathematical operations.
Solve:
Substituting the value of x, in the equation
1/2(4) = 80
20 ≠ 80
Thus, it isn't satisfied. Hence, Emiliano's answer is wrong.
Correct Way to Solve;
Multiply both sides by 2
2 · [tex]\frac{1}{2}x[/tex] = 80 · 2
Simplify
x = 160
~Learn with Lenvy~