Answers
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Related Questions
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answers
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
Which ones are linear and nonlinear?
NEED ASAP
RIGHT ANSWER WILL GET MARKED AS BRAINLIEST
Answers
Answer:
A D E Are Linear And B C F Are Non Linear.
Step-by-step explanation:
I Had The Same Question And Got This Correct.
3/4x-4=-19
Whats is the solution to the equation?
Answers
Answer:
x=-20
Step-by-step explanation:
SELECT ALL The Points that are on the Graph of the line 3x + 2y = 28 (:
Answers
points are on the graph of the line:-
[tex]\tt{3x+2y=28 }[/tex] ⠀
we get,
[tex]\rightsquigarrow[/tex] [tex]\tt{ 2y=28-3x }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{y=\dfrac{28-3x}{2} }[/tex] ⠀
In,(0,14)
If we put the value ,x=0
y=[tex]\tt{\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]
So,we get one point,(0,14)✔
In,(2,11)
If we put ,x=2
y=[tex]\tt{\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]
so,we get another point (2,11)✔
in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀
we have to find the line which are in the line!!
points are on the graph of the line:-
3x+2y=28 ⠀we get,
2y=28−3x ⠀
[tex]{y=\dfrac{28-3x}{2} }[/tex]
In,(0,14)
If we put the value ,x=0
[tex]y={\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]
so one point is (0,14)
In,(2,11)
If we put ,x=2
[tex]y={\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]
so,we get another point (2,11)
in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀
Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answers
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
What’s the solution for x- 6 = 4
Answers
Answer:
X = 10
Step-by-step explanation:
X - 6 = 4
X = 4 + 6
X = 10
Answer:10
Step-by-step explanation:
1.add 6 to both sides
x-6+6=4+6
2. simplify
x=10
50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you
Answers
Answer:
For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]
For the second: [tex]x=5[/tex]
Step-by-step explanation:
Answer:
x=17 for the first and x=5 for the second.
Step-by-step explanation:
First picture
Opposite angles of two intersecting lines are equal.
So the angle opposite the 100 degree angle on line c is also 100.
Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).
So 5x + 15 = 100
5x = 85
x = 17
Second picture
Adjacent angles add up to 180 degrees. So the angle opposite 52 is 180-52=128.
[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]
Which of the following is the product (3x - 5) and (3x + 5)?
Answers
Answer:
the answer is
....9x^2 - 25
Ffcffgffffggggvgfcgcvggfvv
Answers
Answer:
Husfivhuisfhvkusdhvkufadhvkudshfukdahf
Step-by-step explanation:
How long is a string reaching from the top of a 15 ft pole to a point 8ft from the bottom of the pole
Answers
Answer:
15.8
Step-by-step explanation:
So top of 15ft + 0.8 ft = 15.8 ft
meaning the strings needs tobe 15.8 ft long
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Answers
What is the area of a circle with a radius of 5 cm?
Answers
Answer:
area of circle = 78.55 cm²
Step-by-step explanation:
area of circle
= πr²
= 3.142 × 5²
= 3.142 × 25
= 78.55 cm²
Please help-help-help
Answers
Answer:
both I think hope u get it right
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Answers
Answer:
D
Step-by-step explanation:
This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)
So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer
A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r)ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:
f(x) = 197(1.25)ˣ
If the growth of the weed is shown by each day will be given as,
r = 0.25 / 7
r = 0.03
Then the function is given as,
f(x) = 197(1.03)⁷ˣ
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Please help me out!
Answers
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
Heldi is placing an online order at her favorite clothing store. Each shirt that she is ordering costs $12.50. If she must
spend at least $50 In order to get free shipping, how many shirts must she buy to get free shipping.
To graph the solution set of this inequality, draw( open or closed)
circle on the boundary point and shade to the
Either left or right)?? ASAP
Answers
Answer:
She has to buy 4 shirts. I'm not sure how to graph this sorry.
Step-by-step explanation:
A paper company produces 4,050 notebooks in 5 days. How many notebooks can it produce in 13 days?
Answers
Answer:
10530
Step-by-step explanation:
4050 notebooks in 5 days
1 day=810
13 days=10530
please mark as brainliest!!!
56 is 0.4% of what number?
Answers
Answer:
140
Step-by-step explanation:
Let the number = x
Hence, the expression can be written has:
0.4 of x = 56
0.4x = 56
Divide both sides by 0.4
0.4x / 0.4 = 56 / 0.4
x = 140
Hence, 56 is 0.4 of 140
There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answers
Answer:show ur homework page I have the same one I think
Step-by-step explanation:
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better price?
Both tulles have the same price per foot.
The gray tulle has a better price.
The black tulle has a better price.
Answers
Answer:
The black tulle has a better price.
Step-by-step explanation:
The black tulle has a better price because its cost is less. Then the correct option is C.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.
The units rate price of gray tulle will be given as,
⇒ $5.63 / 3
⇒ $1.88 per yard
The units rate price of black tulle will be given as,
⇒ $3.58 / 6
⇒ $0.60 per yard
The black tulle has a better price because its cost is less. Then the correct option is C.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Find the values of x and y in the equation below.
aby
08
y =
DONEM
Answers
Answer:
x=6
y=18
Step-by-step explanation:
I just took the assignment in edg ;)
To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?
Answers
Answer:
7,850
I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answers
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
Learn more about Midpoint of Segments here :
https://brainly.com/question/4747771
#SPJ7
HELP !!!!!!! MAHH HELP PLEASE !!!!
Answers
B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )
Please mark BRAINLEST
Write a simplified expression for the area of the rectangle
Answers
Answer:
Area = 40x + 15 squared units.
Step-by-step explanation:
Area of a rectangle = Length × width
Help me pls ASAP thank you have a great day!!
Answers
Answer:
Dude like I just answered the previous question. Try doing it by yourself. Lol
Hiya! I need help please! Thanks I really appreciate it!
(2 screenshots included)
Answers
Answer:
8. the line the vertical
9. y=3/4x-10
Step-by-step explanation:
For number nine, you must find b with the information given if you were to use slope intercept form.
4= 3/4(-8)+b
4= -6+b
-10=6
Now, just plug this number back into the equation.
y= 3/4x-10
what is the power to 2
Answers
Answer: i think its 4
Step-by-step explanation:
I’m confused please help
Answers
6th grade math help me pozzzz
Answers
Answer:
t= -9/10= -0.900
Step-by-step explanation: