What is the length of the altitude of the equilateral triangle below?
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The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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Related Questions
Can some help me please thx
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Answer:
Look below
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/fractions.php
I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR
8 students share 7 oranges. How many oranges does each student get?
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Step-by-step explanation:
every student will get 7 slices ....I think si
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
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Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
prime factorization of 5,200 using exponents
Answers
Answer:
2*2•5*2•13
Step-by-step explanation:
* = to the power of.
Answer:
Step-by-step explanation:
5200 = 52 * 100
= 4 * 13 * 10 * 10
= 2 * 2 * 13 * 2 * 5 * 2 * 5
= 2⁴ * 5² * 13
HELP DUE SUPER SOON!!
A university has 32,040 students. In a random sample of 270 students, 18 speak three or more languages
Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is
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Answer:
2022 students
Step-by-step explanation:
Since 18 out of 270 students speak three or more languages, a prediction would be 30,330 x 18/270 = 2,022 students
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report)
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Can someone help please ASAP
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Answer:
U need to draw a triangle
Step-by-step explanation:
Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?
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Answer:
14.4 units²
Step-by-step explanation:
The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S
Let the area of rectangle S be represented by x, therefore:
40 : x = 8² : 4.8²
40/x = 64/23.04
Cross multiply
x*64 = 40*23.04
64x = 921.6
x = 921.6/64
x = 14.4
Area of rectangle S = 14.4 units²
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4/3 x 3.14 x 8^3
4/3 x 3.14 x 512
V = 2143.57333 m3
6. Find the value of x. (HINT: Find the missing angles inside the triangle first)
Can someone pls help thank you
Answers
Answer:
x=120°
Step-by-step explanation:
First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.
A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.
This means that we now know ∠BAC is 60°.
Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.
If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.
x=120°
help i will give brainliest
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Dennis buys 32 inches of trim for a craft project. What fraction of a yard does Dennis buy?
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Answer:
crrfhjgbnjjjhhbnmlpoutdxcjkougfsweee
Answer:
8/9 OR 32/36, depending on whether or not you need it simplified.
Step-by-step explanation:
We know one yard has 36 inches. Since Dennis buys 32, we'll simply put that over 36 to find our fraction. You'll then get 32/36, and the most simplified form of that is 8/9.
Is t = 9 a solution to this equation? 63 = 7 t
Answers
Answer:
Yes, 9 is the answer.
Step-by-step explanation:
This is a one step equation so you only have to preform one operation to solve. You do the inverse operation of what the equation is doing. In this case you are multiplying, which means you will divide to solve.
63/7 = 9
A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.
EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP
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can you help me please
Answers
9514 1404 393
Answer:
domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3Step-by-step explanation:
The expression reduces to ...
[tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
the domain is all real numbers except -4 and +3The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
the range is all real numbers except 1As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
vertical asymptote at x=3; horizontal asymptote at y=1_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
A box of 15 cookies cost nine dollars what is the cost for one cookie
Answers
Answer:
9:15 = 0.6
answer : 0,6
.............
Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left
Answers
Answer: $ 8.97
Step-by-step explanation:
Game =$9.78
toy=$ 6.34
sandwich =$4.91
Total amount spent=$9.78+$6.34+$4.91=> $21.03
Total amount=$30
left amount=total amount- amount spent
= $30-&21.03
=$8.97
Will give brainliest!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Find the compound interest on an investment of $8,000 at 6% compounded semiannually for 3 months.
a) $9,552.80
b) $1,552.80
c) $1,500.00
d) $9,500.00
e) None of these
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tyler read 2/5 of his homework. he read 4 pages. how many total pages of homework does Tyler have to read?
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Tyler have to read total 10 pages of this homework.
What is fraction ?A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
Let, the total number of pages of homework be x.
According to the given question
Tyler read [tex]\frac{2}{5}[/tex] of his homework, which is 4 pages of his homework.
⇒ [tex]\frac{2}{5}[/tex]×[tex]x=4[/tex]
⇒[tex]2x=4[/tex]×[tex]5[/tex]
⇒[tex]2x=20[/tex]
⇒[tex]x=10[/tex]
Hence, Tyler have to read total 10 pages of his homework.
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3n^2-5n-6=9 help please!
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Answer:
3n^2 -5n -6 = 9 This is a quadratic Equation.
3n^2 -5n -15 = 0
It is solved with the Quadratic Formula:
n = [-b +-sqr root (b^2 - 4ac)] / 2a
a = 3
b = -5
c= -15
n = [--5 +- sqr root(25 -4*3*-15)] / 6
n = [5 +- sqr root (25 + 180) / 6
n = [5 +-sqr root (205) ] / 6
n = 5 + 14.3178210633 / 6
n1 = 19.3178210633 / 6
n1= 3.2196368439
n2= 5 - 14.3178210633 / 6
n2 = -9.3178210633 / 6
n2 = -1.5529701772
Step-by-step explanation:
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Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
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Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people
My sister needs help with this problem !!
Can you post step by step
Thank you!
Answers
Answer:
C
Step-by-step explanation:
the inequality says that x needs to be less than or equal to 2, we know the first number in an ordered pair is x-axis the only number less than 2 is -2
Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.
If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84
Answers
Answer:
Step-by-step explanation:
Biy.com/5698
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answers
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm
Answers
Answer:
E
Step-by-step explanation:
Givens
L = 5 cm
W = 5 cm
H = 2 cm
Formula
SA = 2L*W + 2L*H + 2*W*H
Solution
SA = 2*5*5 + 2*5*2 + 2*5*2
SA = 50 + 20 + 20
SA = 90 cm^3
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
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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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Please help I’ll mark you as brainliest if correct !!
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He is making 250 an hour, meaning that x would represent the hours worked. The 45 dollars is an initial pay meaning you would simply add that to the equation.
This website ain't any help no body's helping me with ma questions
Answers
Answer: 240
Step-by-step explanation: V=whl=6·5·8=240
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Epidemiologists decided to investigate the effect of sunscreens on sunburns. They ran an epidemiologic study to see the association of sunscreens and sunburns. Overall, 460 people have enrolled in the study. Investigators randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). They exposed those 460 people to the high mountain trail on a sunny day. At the end of the study, 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. What is the relative risk of sunburns in the sunscreen treatment group compared with the control group in this study
Answers
Answer:
0.23
Step-by-step explanation:
Total number enrolled in the study = 460
Number of subjects in treatment group = 230
Number who developed sunburn in treatment group = 30
Number of subjects in placebo = 230
Number who developed sunburn in placebo = 130
Proportion of treatment group who developed sunburn = 30 / 230 = 0.130
Proportion of placebo who developed sunburn = 130 / 230 = 0.565
The relative risk of sunburn in treatment group compared with control group :
Proportion of sunburn in treatment / proportion of sunburn in placebo
0.130 / 0.565 = 0.23