The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
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ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study
Answer:
Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
Step-by-step explanation:
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer:
a₇ = 16992.84
Step-by-step explanation:
Given that,
a₁ = 11, r = 3.4 and n = 7
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]
So, the seventh term is equal to 16992.84.
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?
Answer:
d. what school do you go to?
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
I need help
Please hurry
Answer:
x=81
Step-by-step explanation:
all triangles = 180 degrees
180 - 18 = 162
162/2 = 81
81 is your answer
Answer:
81 Degrees
Step-by-step explanation:
These are the same number which means all you have to do is remember that triangles are 180 degrees total and subtract out the 18 and you get 162 which you then divide by 2.
To the nearest tenth of a second, how long will it take the arrow to hit the ground?
Answer:
0.6
Step-by-step explanation:
C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)
Answer:
[tex]P(C\ or\ D) = 1[/tex]
Step-by-step explanation:
Given
[tex]P(C) = \frac{3}{7}[/tex]
[tex]P(D) = \frac{4}{7}[/tex]
Required
[tex]P(C\ or\ D)[/tex]
Since the events are mutually exclusive, then:
[tex]P(C\ or\ D) = P(C) + P(D)[/tex]
So, we have:
[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]
Take LCM
[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]
[tex]P(C\ or\ D) = \frac{7}{7}[/tex]
[tex]P(C\ or\ D) = 1[/tex]
Help please I’ll give the brainliest
Answer:
Step-by-step explanation:
a)
5.75x + 3.25y ≤ 625
b)
55 youth shirts
5.75x + 3.25 (55) ≤ 625
5.75x + 178.75 ≤ 625
5.75x ≤ 446.25
x ≤ 77.6086....
so 77 adult t-shirts
Can anyone help me with this all i need is an explanation on how to do it?
Answer:
x = 24
Step-by-step explanation:
Ok so basically the angles shown are vertical angles
One of the properties of vertical angles is that they are congruent
That being said we would use this equation to solve for x
120 = 5x
then you would solve for x
*isolate the variable*
step 1 divide each side by 5
120/5=24
5x/5=x
we're left with x = 24
I hope this helps and if you have anymore questions feel free to ask! :)
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
What is the solution to this equation?
2X + 10=28
Answer:
x = 9
Step-by-step explanation:
2X + 10=28
Subtract 10 from each side
2X + 10-10=28-10
2X = 18
Divide each side by 2
2X/2 = 18/2
x = 9
Answer:
X=9
Step-by-step explanation:
28-10=18
2 x 9= 18
Find the missing number 15/8
I need help with this lol
Answer:
1350
Step-by-step explanation:
multiply
Josie baked a cake and ate .6 of it. Express this decimal as a percent and as a fraction.
Step-by-step explanation:
Hi,
To write this answer as a percent, simply divide it by 10.
6/10 is the same thing as 60%.
As a fraction, it's 6/10.
As a percent it's 60%
I hope this helps :)
Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:
Answer:
$13.64
Step-by-step explanation:
you need about 1853 sheets of paper which is
1853 ÷ 500, or 3.706 reams
if 1 ream costs $3.68 then 3.706 reams costs 3.706 × 3.68 or $13.64
Please help me thank youuuu!
I need help will mark brainlist
When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?
1. multiply each side by -1/8, add 35 to each side
2. multiply each side by -1/8, subtract 35 from each side
3. multiply each side by -8, subtract 35 from each side
4. multiply each side by -8, add 35 to each side
Answer:
The correct option is 3.
Step-by-step explanation:
By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.
In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.
Answer:
B she will score over 8 points 4 times
Step-by-step explanation:
show proof and show work for brainliest
Answer:
-2(4-1)
Step-by-step explanation:
Do parentheses first because of PEMDAS. That means 4-1 equals 3. Then take -2 and times it by the 3 to get -6.
Answer:
The answer would be -2(4-1)
Step-by-step explanation:
-2 multiplied by 4 is -8
-2 multiplied by -1 is 2
you then add -8 and 2 which equals -6
which table shows a relationship between the values of x and y that represents a linear function?
If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.
Answer:
27.30
Step-by-step explanation:
28, 22, 16, 10,...
O Arithmetic
O Geometric
O Neither
Answer:
Arithmetic
Step-by-step explanation:
Sequences:
A sequence is called arithmetic if the difference between consecutive terms is the same.
A sequence is called geometric if the quotient between consecutive terms is the same.
In this question:
28 - 22 = 22 - 16 = 16 - 10 = ... = 6
Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.
A group of students were asked the kinds of pets they owned. The data is
represented in the graph below.
Type of Pets
11.1:
Cat Dog Bird Horse
Hamster Other
Formulas
Which statement below does NOT accurately describe the data represented in the graph?
A)
More than 50% of students surveyed own a cat or dog.
Highlight
Time
Remaining
00:19:05
Hide Tools
B)
20% of students surveyed have a hamster.
C)
The mode of the data is cat.
D)
Just over 10% of students have a bird.
?
Answer:
D) Just over 10% of students have a bird.?
The price of the sweater was reduced by 40%
tell weather the ordered pair is a solution of the equation y=7x;(2,21)
Answer:
3,21 is
2,21 is not a proper ordered pair.
Step-by-step explanation:
Remark
It's not a solution
You can either use the x value to find out the proper y value
or
You can use the y value to find out the proper x value
Proper y value
Let x = 2
y = 7*2
y = 14
So the proper y value given that x = 2 is 14.
Proper x value
Let y = 21
21 = 7x Divide both sides by 7
21/7 = 7x/7
3 = x
But (2,21) is not a solution. (3,21) is.
Can someone help please ASAP
Answer:
4
Step-by-step explanation:
2 · 4 = 8
8 + 4 = 12
the value of x is 4
A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.
Answer:
v= -4i-j
Step-by-step explanation:
we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.
There are 920 calories in 5 servings. Find the unit rate.
Answer:
184
Step-by-step explanation:
920 divided by 5 is 184 which makes it unit rate
What is the approximate value of this logarithmic expression?
9514 1404 393
Answer:
B. 1.80
Step-by-step explanation:
The change of base formula can be used.
[tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]
_____
Some calculators can compute the value for you directly.