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
Someone help with this please
Answers
Answer: B
Step-by-step explanation: B is in slope-intercept form
this is the choices
88
70
110
120
Answers
Answer:
110
Step-by-step explanation:
Y and X have to equal 180
70+x+180
=110
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answers
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
twice the sum of 4 and x is less than -16. solve the i equality
Answers
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answers
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
what is the slope of the line below?
give an exact number. plz help !
Answers
!!Please Help!! Find the value of z to the nearest tenth.
Answers
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answers
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
What is the slope of the linear equation y=x+10
a. Slope=m=10
b. Slope=m=1
c. Slope=m=5
d. Slope=m=11
Answers
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1
Plzzz helppppp !!!!! Write this as an equation that represents the function
Answers
Step-by-step explanation:
y = mx + c
When x = 0, y = 2.
=> (2) = m(0) + c, c = 2.
When x = 3, y = 8.
=> (8) = m(3) + 2, 3m = 6, m = 2.
Hence the answer is y = 2x + 2.
The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=
Answers
Answer:
The value of d that balances the equation is d=15
Step-by-step explanation:
Equations
We are given an image with a hanger that represents a balanced equation.
If the equation is balanced, then the 'weights' of each side should be equal.
On the right side, there is 21 and on the left side, there are 6 and d.
Adding both, we have 6+d on the left side.
Equating both sides:
6 + d = 21
To find d, we subtract 6 on both sides:
d = 21 - 6
d = 15
The value of d that balances the equation is d=15
Answer:
d=15
Step-by-step explanation:
6+d=21
so that means d=15
6+15=21
hope this helped! :)
If a right hexagonal prism became an oblique hexagonal prism, would that have any effect on the volume and height of the
solid? Explain your answer.
Answers
Answer:
Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.
Step-by-step explanation:
sample answer
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answers
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
In the diagram, the measure of angle 6 is 98°.
What is the measure of angle 7?
Answers
Answer:
angle7 = 180°-98° = 82° (Angles on a straight line)
What is the slope of the line shown below?
(3,9)
(-4,2)
Answers
Answer:
the slope of the line shown below is 1.
1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8
Answers
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
3 balloon + 2 cakes = £19
9 balloon + 3 cakes = £42
work out:
1 balloon in £
1 cake in £
Answers
Step-by-step explanation:
3 balloons + 2 cakes = £19
=> 9 balloons + 6 cakes = £57 (multiply by 3)
9 balloons + 6 cakes = £57
- (9 balloons + 3 cakes = £42)
=> 3 cakes = £15, 1 cake = £5.
Therefore 3 balloons + 2(£5) = £19,
3 balloons = £9, 1 balloon = £3.
Hence each balloon is £3 and each cake is £5.
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP
Answers
Answer:
8 kilometers
Step-by-step explanation:
Since 5 is half of 10, then do 16/2 to find how many kilometers.
Answer:
8
Step-by-step explanation:
16 kilometres in 10 miles (divide by 10 to find 1)
1.6km 1 mile
8(times1.6 by 5) 5 miles
please mark as brainliest!!!
5x + 3y = 5
5x + 7y = 25
Answers
Answer:
(-2,5)
Step-by-step explanation:
19. Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 1/2 hours and dusted for hours.
How much money did Mel earn?
Answers
Answer: $45
Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45
use the quotient rule to find the derrivatives of 3/x^2
Answers
Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15
step by step please!
Answers
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
5(2x - 5) + 10x = 75
Answers
Answer:
x = 5
Step-by-step explanation:
5(2x-5) +10x = 75
10x -25 +10x = 75
20x - 25 = 75
20x = 100
x = 5
can you help me the first person will get brainliest
Answers
Answer:
put the equations in tiger math
Step-by-step explanation:
but other than that have a good day !! goodluck with everything
If you were planning a meal for 24 people,
how many dozens
of eggs would you need to buy if each person were to have 2 eggs each?
Answers
48 divided by 12 = 4
You need 4 dozen eggs.
Answer:
4 dozen.
Step-by-step explanation:
Total number of eggs required =2*24 = 48
One dozen = 12 so the answer is 4 dozen eggs.
simplify this fraction, it can be a whole number or decimal :)
4.2/-0.2
Answers
Answer:
yes cuz +1+1
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
HElP MEh PleZ
A scuba diver descends below the surface of a lake at a rate of 12 feet per minute. What integer represents the depth of the diver after 4 minutes?
Answers
Since this scuba diver descends below the surface of a lake at a rate of 12 feet per minute, an integer which represents the depth of the diver after four (4) minutes is 48 feet.
What is the rate of change?The rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the rate of change for the depth covered by this scuba can be calculated by using this formula;
Rate of change = Depth/time
Making depth the subject of formula, we have:
Depth = Rate of change × time
Substituting the given parameters into the formula, we have;
Depth = 12 × 4
Depth = 48 feet.
Read more on rate of change here: brainly.com/question/15648128
#SPJ1
True or False.
The following relation represents a function.
Answers
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m − 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
Answers
Answer:
no 4=f
Step-by-step explanation:
dwfn sdv and it appers to be marys age ;)
think before you do something rude
Answer:
C. Solve m + 6 = 5m - 10
Step-by-step explanation:
Wilson is 6 years older than Mary.
(MARY's age + 6 = WILSON's age)
Wilson's age is 10 years less than five times Mary's age.
(MARY's age * 5 - 10years = WILSON's age)
(Mary is 4 years old and Wilson is 10:
4 + 6 = 10
4(5) = 20 - 10 = 10
just in case you were curious)
Good luck!!
answers for the 2 boxes please
Answers
i’m sorry if that’s not correct
have a great day!:)
Answer:
(4, 22)
Step-by-step explanation:
y = 5x + 2
y = 3x + 10
Since both equations are equal to y, we can have both equations equal to each other).
5x + 2 = 3x + 10
5x + 2 - 3x - 2 = 3x + 10 - 3x - 2
5x - 3x = 10 - 2
2x = 8
2x/2 = 8/2
x = 4
(Substitute the x value to any equation to solve for y).
y = 5x + 2
y = 5(4) + 2
y = 20 + 2
y = 22
So, the answer is (4, 22).
Hope this helped! <3
