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
If you were going to solve -3(x + 5) = 27, what is the first step that you would do? Why did you start there?
Answers
Answer:
Step-by-step explanation:
Multiply -3 for x and for 5
-3x-15=27
When you have this type of equation the first thing you do is take off the parentesis
Then you pass the 15 to the other side and you get -3x= 27 +15 . After that you divide that for -3 and you get the x . In this case x= -14
Sorry if the english is bad, i hope this helps
please help quick time
Answers
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
Simplify the expression below.
5/8m + 9 - 3/8m - 15
Answers
In a rectangle or a rhombus: If ZP = 4x - 9 and PY = 2x +5, find x.
Please help ASAP!!!! Will give brainliest!!!
Answers
Answer:X=7
Step-by-step explanation:
Answer:
zp= 7,and py= 9
Step-by-step explanation
zp=7
(2)(2)+5
(2)(2)+5
py=9
(4)(4)−9
(4)(4)−9
=7
The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
a) the height h
b) S
c) the perimeter P of the trapezoid
Please someone help me
Answers
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
also need help with this.
Answers
a(14-c) = 2w
a= 2w / 14 - c
Answer:
a = 2w/c/15
Step-by-step explanation:
14a = ac + 2w
ac + 2w + 14a = 0
ac + 14a = -2w
14a + a = -2w/c
15a = 2w/c
a = 2w/c/15
Can somebody plz help answer the missing terms correctly thanks so much!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answers
Answer:
Step-by-step explanation:
your mom
Answer:
9. 5
10. 3
11. 1
12. 7
13. 48
14. 24
15. 9
16. 6
The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answers
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
Plz help find the perimeter and the are of the following show work plz
Answers
Describe the end behavior of the following exponential function f(x)=3
Answers
Answer:
the correct answer would be the 2nd one !! please make me most brainlessly!!!
Write the point-slope equation of (1,6) (3,-6)
Answers
Answer:
0 (I think)
Step-by-step explanation:
(1,6) (3,-6)
X1 Y1. X2 Y2
-6-6= 0
3-1=2
0/2= 0
Answer:
y=-12/2x + -6
Step-by-step explanation:
m= rise/run = y2-y1/x2-x1
m= -6 - 6 / 3 - 1
m= rise/run -12/2
Which two properties characterize an air mass?
Answers
Answer:
Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form
Answer:
Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).
Step-by-step explanation:
Looked it up
Help and you shall receive 20 points
Answers
Answer:
its D 7 2/5
Step-by-step explanation:
What is the percent composition of Hydrogen in Acetone, C3H6O?
a, 62.0%
b, 10.4%
c. 27.5%
d. 19.9%
Answers
Ronald bikes 6.9 miles each day. How far has Ronald biked in seven days.
Answers
Answer:
48.3
Step-by-step explanation:
6.9 times 7= 48.3
Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answers
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answers
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
Jennifer purchased for 2$ and p pounds of sliced turkey at 5$ per pound for a total of $13.25. Which equation represents jennifer's purchase from the grocery store?
Answers
Answer:
$2 + $5p = $13.25
Step-by-step explanation:
Given that:
Initial purchase = $2
Pound of sliced turkey = p
Cost per pound of sliced turkey = 5$
Total amount spent = $13.25
Jennifers purchase from grocery store :
Initial purchase + (pound of sliced turkey * cost or pound) = total amount spent
$2 + $5p = $13.25
Helppppl +13 points & +star
Answers
Answer:
hope it helps
Step-by-step explanation:
...........
Question 1: In January, a puppy weighed 4kg.
Three months later, the same puppy weighed 5kg.
What was the percentage increase in the puppy's weight?
Answers
Answer:
sorry bro I didn't understand
Please help me It’ll help a lot
Answers
Answer:
heyy
the answers "20"
Step-by-step explanation:
Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p
help me pass my class .
Answers
Answer:
about 3.6
Step-by-step explanation:
pythagorean theorem
sqrt 13
The length of the two legs of a right triangle are 18 cm and 24 cm.
What is the length of the hypotenuse of the triangle?
O A. 30 cm
OB. 36 cm
OC. 42 cm
D. 48 cm
Answers
Answer: 30 cm
Step-by-step explanation: Take note that ^2 means to the second power.
a^2 + b^2 = c^2 (hypotenuse)
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
To find the length of c you have to find teh square root of 900.
√c^2 = √900
c = 30
The length of the hypotenuse is 30 cm!
Hope this helped!
Elijah walked 6 miles in 3 hours.what was his walking rate in hours per miles?
Answers
Answer:
2 Miles per hour
Step-by-step explanation:
velocity (speed) formula is distance/time.
In this case, 6/3=2
help please, 25 points! pythagorean thereom
Answers
Answer:
the pythagorean thereom is a^2 + b^2 = c^2
Step-by-step explanation:
to find the length of the hypotenuse use a^2 + b^2 = c^2 or b^2 + a^2 = c^2
but in order to find the length of the legs use c^2 - a^2 = b^2 or
c^2 - b^2 = a^2
if g(x) = -3x +1 fill out the following table of values
Answers
Answer:
-3 (-6)+1
18 +1
19
-3 (-2) +1
6 +1
7
-3(0)+1
0+1
1
-3(2) +1
-6 +1
-5
-3(6) +1
-18 +1
-17
Step-by-step explanation:
you plug in the numbers for x into the equation and solve, and that's the value that goes into the box below the number you just plugged in
Quick Pleaseee helpp
When is substitution method easier to use than graphing method!!!!
Answers
Answer:
When you do not have a graph paper
or
one of the equations has an isolated variable
or
when the equations are not in slope intercept form
Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save $30 each month for 12 months. Which of the following shows that Wesley will save enough money for his vacation? Choose all that apply.
Answers
Answer:
i cant choose any that applies to this question because there is no picture added to it and there are no choices to choose from. If i were to solve it though, it would be; yes, he will save enough money for his vacation.
Step-by-step explanation:
I know he would have enough--and in this case more than enough, because since he's planning to save $30 for a whole year just for $50, when he could simply make $60--which is in fact more than needed for his goal-- in just 2 months. If he were to stick with his plan though, he'd make $360. I got that by multiplying 30 by 12.
Write the expression-
The quotient of x and 8
Answers
Answer:
x ÷ 8
Step-by-step explanation:
Is -1 a solution to 4x - 3 < 5?
(look at the picture)
Answers
Answer:
Yes
Step-by-step explanation:
Assuming that the question is asking for -1 to be plugged in as x
4(-1)-3≤5
-4-3≤5
-7≤5