Answers
(√d)²= (4h)²
d= 16h^2
Final answer: d= 16h^2
[tex]\text{Square both sides}[/tex]
[tex]d=16h^2 [/tex]
Related Questions
Which of the following shows the numbers ordered from least to greatest?
A)0.004, 0.07, 0.6, 0.32
B)0.004, 0.6 0.07, 0.32
C)0.004, 0.07, 0.32, 0.6
D)0.004, 0.32, 0.07, 0.6
Answers
Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?
A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units
Answers
we know that
If Triangle MRN is created when an equilateral triangle is folded in half
then
[tex]RM=\frac{1}{2}*MN[/tex]
[tex]MN=6+2=8\ units[/tex]
so
[tex]RM=\frac{1}{2}*8=4\ units[/tex]
Applying the Pythagorean Theorem in triangle MRN
[tex]MN^{2}=NR^{2}+RM^{2}[/tex]
we have
[tex]MN=8\ units[/tex]
[tex]RM=x=4\ units[/tex]
[tex]NR=y[/tex]
substitute
[tex]8^{2}=y^{2}+4^{2}[/tex]
solve for y
[tex]y^{2}=8^{2}-4^{2}[/tex]
[tex]y^{2}=48[/tex]
[tex]y=\sqrt{48}=4\sqrt{3}\ units[/tex]
therefore
the answer is the option C
[tex]4\sqrt{3}\ units[/tex]
Answer:
The correct option is C.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is
[tex]MO=NO=MN=MS+SN=2+6=8[/tex]
Since NR is a perpendicular bisector, therefore
[tex]RM=\frac{MO}{2}=\frac{8}{2}=4[/tex]
Using Pythagoras property in triangle MNR,
[tex]MR^2+NR^2=MN^2[/tex]
[tex]4^2+y^2=8^2[/tex]
[tex]y^2=64-16[/tex]
[tex]y=\sqrt{48}[/tex]
[tex]y=4\sqrt{3}[/tex]
Therefore option C is correct.
What Do You Call It When Police Interrogate a Cow's Husband? *the answer isn't " Question-a-bull** && the answer is 12 letters long
Answers
The key in this problem is to find the answer in each number and then cross out the box containing that solution. Here are the following answers with their corresponding letters that need to be crossed out.
1 . 12 LK
2. 9 AM
3. -8 ST
4. -15 SH
5. 33 IN
6. -36 OO
7. 44 OP
8. 14 CO
9. 27FT ME
10. 23 ED
11. $580 WS
12. 11 DEGREES CELSIUS TO
13. 29 IT
14. -35m JA
After crossing out those letters, the answer for what do you call a when a policeman interrogate a cow's husband is QUESTIONABLE.
A minor league baseball team plays 117 games in a season. if the team won 13 more than 3 times as many as they lost. how many wins and losses
Answers
W = 3L + 13
3L + 13 + L = 117
4L + 13 = 117
4L = 117 - 13
4L = 104
L = 104/4
L = 26 <=== 26 losses
W = 3L + 13
W = 3(26) + 13
W = 78 + 13
W = 91 <=== 91 wins
If m<1 = 7x + 6 and m<2 = 8x - 6, find the value of x so that p is perpendicular to q
Answers
Answer:
x = 12
Step-by-step explanation:
Given: [tex]\angle 1=7x+6[/tex]
[tex]\angle 2=8x-6[/tex]
∠1 and ∠2 form by two intersection line p and q.
p is perpendicular to q.
Therefore, ∠1 = ∠2 = 90°
So, 7x + 6 = 90°
7x = 84
x = 12
8x - 6 = 90°
8x = 96
x = 12
7x + 6 = 8x - 6
x = 6 + 6
x = 12
So, we get x=12 from all three equations.
hence, The value of x is 12
What are the solutions to the equations |x-10|-4=2x
Answers
4.5/17 - x = 3/8 solve
Answers
4.5/17 = 3/8 + x.
Then, you subtract 3/8 from both sides, getting 4.5/17 + 3/8 = x, and then you simplify the fraction.
The final answer would be x = 87/136, or 0.64.
Answer:
The value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]\frac{4.5}{17}- x =\frac{3}{8}[/tex]
We need to solve the provided equation for x.
Add x to both side.
[tex]\frac{4.5}{17}- x+x=\frac{3}{8}+x[/tex]
[tex]\frac{4.5}{17}=\frac{3}{8}+x[/tex]
Subtract 3/8 from both sides.
[tex]\frac{4.5}{17}-\frac{3}{8}=x[/tex]
[tex]x=\frac{4.5}{17}-\frac{3}{8}[/tex]
[tex]x=\frac{36-51}{136}[/tex]
[tex]x=\frac{-15}{136}[/tex]
Or
[tex]x=-0.1102[/tex]
Hence, the value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
Calculate the area of the figure below using the following information:
Area of triangle ABC = 23.85 square units
Area of triangle ACD = 29.4 square units
Area of triangle AED = 26.25 square units
The area of the Figure ABCDE is ______ square units.
Answers
Area = 23.85 + 29.4 + 26.25 = 79.5 square units
Answer:
Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²
Step-by-step explanation:
Area of pentagon ABCDE is sum of area of triangles ABC, ACD and ADE
Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE
Area of ΔABC = 23.85 unit²
Area of ΔACD = 29.4 unit²
Area of ΔAED = 26.25 unit²
Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE
Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²
A limousine service determines that its per-mile cost is $.36 and that it incurs $48 in miscellaneous expenses for each reservation.The service charges $3.56 per mile. What number of miles represents the break-even point?
Answers
the limousine charges 3.56 per mile driven, so, their income from the sales, or revenue is say... if they drive "m" miles, then is 3.56*m or 3.56m.
now, their costs, how much does it cost to have the limousine up and rolling and a chaffeur and other, well, it boils down to $48 for each reservation, and it costs 36 cents or $0.36 per mile driven, so, if they drive for "m" miles, then the cost for that will be 0.36*m or 0.36m. So the total cost is 48 + 0.36m
when is the break-even point?
the break-even point is when... well, you break-even, when the income or sales is the same as the costs, so, you're not really losing any money, you're getting as much as you're spending, but you're not making any surplus or profit either. That happens when the Revenue = Costs.
[tex]\bf \stackrel{revenue}{3.56m}=\stackrel{costs}{48+0.36m}\implies 3.56m-0.36m=48\implies 3.2m=48 \\\\\\ m=\cfrac{48}{3.2}\implies m=\stackrel{miles}{15}[/tex]
3)
the costs for the grower for planting and caring for a tree is 18.53, so if he plants say "t" trees, then the costs will be 18.53*t or 18.53t.
there's a fixed costs, overhead, for managing the farm, workers, cashiers, forklifts and so on, of $600.
so the total costs is then, 18.53t + 600.
now, he plans to charge for each tree 65 bucks, so if sells "t" trees, the Revenue is 65*t or 65t.
again, what's the break-even point? well Revenue = Costs
[tex]\bf \stackrel{revenue}{65t}=\stackrel{costs}{18.53t+600}\implies 65t-18.53t=600\implies 46.47t=600 \\\\\\ t=\cfrac{600}{46.47}\implies t\approx \stackrel{trees}{12.91}[/tex]
so, the break-even point is at 12.91 trees, or 12 trees and 0.91 of another, I guess you'll just have to chop off a few branches to make it 0.91, but anyhow, if we go up to say 13 trees, the break-even point is passed and he's on the black ink, he's making profit.
so, he'll start making profit after the 12th tree sold.
4)
is the same thing more or less.
costs is $7000 in overhead, plus 24.5 for one scooter, if he makes "s" scooters, then the costs are 24.5s, so total costs is 7000 + 24.5s.
revenue is the price times quantity, if the quantity is "s" and the price is 36.75, then the revenue is 36.75s.
when he doesn't lose money? well, is the same break-even point, not making profit, but not losing money either.
[tex]\bf \stackrel{revenue}{36.75s}=\stackrel{costs}{7000+24.5s}\implies 36.75s-24.5s=7000 \\\\\\ 12.25s=7000\implies s=\cfrac{7000}{12.25}\implies s\approx \stackrel{scooters}{571.43}[/tex]
so, the break-even point is at 571.43 scooters, so using whole numbers wil just be 571 scooters then, well, you can't have 0.43 unless you're going to saw off the scooter, in which case you won't sell it anyway.
Which transformation will be equivalent to rotating a figure 180° counterclockwise?
A) reflecting over the line y = x.
B) reflecting over the line y = -x.
C) reflecting over the x-axis and the y-axis.
D) translating left 3 units and down 5 units.
Answers
If we have given coordinates of the image are in form (h,k).
The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).
We have rule (h,k) ---> (-h,-k).
We can see that x-coordinate is being multiplied by -1 and then y-coordinate is also being multiplied by -1.
Above rule could be break into two parts.
(h,k) ---> (-h,k) ----> (-h,-k).We can see in first step, (h,k) ---> (-h,k) is being reflecting over the x-axis and
in second step (-h,k) ----> (-h,-k) is being reflecting over the y-axis.
Therefore, correct option is C) reflecting over the x-axis and the y-axis.The transformation which is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise is reflecting over the [tex]x[/tex]-axis and [tex]y[/tex]-axis. Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.
Further explanation:
Consider a coordinate in the form [tex](a,b)[/tex] where [tex]a[/tex] and [tex]b[/tex] are real numbers.
If [tex]a[/tex] and [tex]b[/tex] are positive then the point [tex](a,b)[/tex] lies in the first quadrant.
If we rotate the coordinate [tex](a,b)[/tex] [tex]180^{\circ}[/tex] counterclockwise then the coordinates become [tex](-a,-b)[/tex].
The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.
If we reflect the coordinate [tex](a,b)[/tex] about the [tex]x[/tex]-axis then the coordinates become [tex](a,-b)[/tex].
The coordinate [tex](a,-b)[/tex] lies in the fourth quadrant.
If we reflect the coordinate [tex](a,-b)[/tex] about the [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].
The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.
This implies that rotating a figure [tex]180^{\circ}[/tex] counterclockwise is equivalent to transformation of reflecting over [tex]x[/tex]-axis and reflecting over [tex]y[/tex]-axis.
Option (A)
In option (A) it is given that reflection about the line [tex]y=x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=x[/tex] then the coordinates become [tex](b,a)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (A) is incorrect.
Option (B)
In option (B) it is given that reflection about [tex]y=-x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=-x[/tex] then the coordinates become [tex](-b,-a)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (B) is incorrect.
Option (C)
In option (C) it is given that reflection about [tex]x[/tex]-axis and [tex]y[/tex]-axis is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about [tex]x[/tex]-axis and [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].
This is same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (C) is correct.
Option (D)
In option (D) it is given that shifting a point [tex]3[/tex] units left and [tex]5[/tex] units down is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we shift the point [tex](a,b)[/tex], [tex]3[/tex] units left and [tex]5[/tex] units down the coordinate is [tex](a+3,b-5)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (D) is incorrect.
Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.
Learn more
1. Learn more about the rotation of the triangle about the origin https://brainly.com/question/7437053.
2. Learn more about when a triangle is rotated about the origin https://brainly.com/question/2992432.
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Geometry
Keywords: Transformation, rotation, reflection, clockwise, geometry, counterclockwise, -axis, - axis, coordinates, graph, origin, line, degrees, translation, symmetry.
The net below is for a number cube. What are the three sums of the numbers on opposite surfaces of the cube?
Answers
You lose 3 pounds per week on your new diet. What integer represents the change in your weight after 3 weeks
Answers
If you lose 3 pounds per week, after 3 weeks you lose (3)(3) = 9 pounds.
The change in your weight is represented by the integer 9 (pounds).
Hope this helps!
#3 weeks later= 3 x 3
= 9
Thus 3 weeks later 9 pounds is lost
help me ............
Answers
3 1/2 x 2 = 7
4 2/3 x 2 = 9 1/3
7 + 9 1/3 = 16 1/3 yards
Completely factor the expression.
w^2 - 15w + 54
Answers
Find the equation of the tangent line to the curve 4x3+2y2−11=4xy−x at the point (−1,2).
Answers
calculate : f'(x) and : f'(-1) given f(-1) = 2
by derivate : 4x3+2y2−11=4xy−x
12x² +4yy' = 4y +4xy' - 1
4yy' - 4xy' = - 12x² +4y -1
y' ( 4y - 4x) = 4y -12x² -1 ...(*)
if x = -1 y = 2 subsct in : (*)
y' (4(2)-4(-1)) = 4(2)-12(-1)² - 1
2y' = - 9
y' = - 9/2 = f'(- 1) ( the slope of the tangent )
of the tangent line to the curve at the point (−1,2) is :
y - 2 = (-9/2)(x +1)
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answers
Answer
Hi,
a) x² +8x + 16 = 7
(x + 4)² = 7
Take the square root of both sides, remembering the ± sign on the right.
√(x + 4)² = ±√7
x + 4 = ±√7
x = -4 ± √7 <==ANSWER
b) x² -6x +9 = 8
(x - 3)² = 8
√(x - 3)² = ±√8
x - 3 = ±2√2
x = 3 ± 2√2 <==ANSWER
Answer: ( x - 4 )² = 25
The solutions to the quadratic equation
x2 – 8x – 9 = 0. are
-1 and 9
The distance formula is d=r/t. how long will it take (in hours) to travel 100 miles at a rate of 22mph? Show all work.
Answers
divide the distance ( 100 miles) by the speed ( 22 mph) to get the time
100/22 = 4.545454 hours (Round to 4.5 hours ?)
if you need hours and minutes multiply 0.545454 by 60 to get the minutes
4 hours 32.7 ( round to 33) 4 hours and 33 minutes
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). find the coordinates of the other endpoint.
Answers
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
How old is Kevin and Uncle Bob
Answers
17-3 = 14 ( Tonya's age now)
14/2 = 7 ( Kevin's age)
14*3 = 42 ( Uncle Bob's age)
Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?
Answers
Therefore 1/2 * n(n+1) = 105
n^2 + n = 210
n^2 + n - 210 =0
Use your preferred method to solve the quadratic, I'll factorise this since this is easy to factorise.
Two numbers':
product gives -210
summation gives 1
Therefore (n+15)(n-14)=0
So the smaller number n is either -15 or 14.
Answer with Step-by-step explanation:
We are given that:
Half of the product of two consecutive numbers is 105.
Let smaller number be n
Then, larger number will be n+1
[tex]\dfrac{1}{2}n(n+1)=105[/tex]
Multiplying by 2 on both sides, we get
n(n+1)=210
n²+n=210
n²+n-210=0
On splitting the middle term
n²+15n-14n-210=0
n(n+15)-14(n+15)=0
(n-14)(n+15)=0
either n-14=0 or n+15=0
either n=14 or n= -15
When n=14, n+1=15
when n= -15, n+1= -14
Hence, equation used to solve for n was:
[tex]\dfrac{1}{2}n(n+1)=105[/tex]
number 4 I have absolutely no idea how to do. I generally understand finding distance on the coordinate plane but this has really confused me. Please help.
Answers
Now for Part B, you can create a right triangle by adding a point at -4, -3, and we'll call it, say, T.
Then you can use the Pythagorean's Theorem to find the length of one side of the square.
The Pythagorean's Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex]
A would be the distance between P and T, and B would be the distance between Q and T. So then, a would be 7, and B would be 2.
To fill it in, it would be [tex]7^{2} + 2^{2} = c^{2} [/tex]
or 49 + 4 = [tex] c^{2} [/tex]
or 53 = [tex]c^{2} [/tex]
or [tex] \sqrt{53} [/tex] = x
Which is equal to about 7.28
Now multiply that by 4 to get the perimeter, or 29.12
So the perimeter would be about 29.12
The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.
What is the width of the rectangle?
2 cm
6 cm
8 cm
10 cm
Answers
length = x+6
Width = x
l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6
since width can't be negative , the answer is x=6.
therefore, the width is 6cm
Answer:
6cm
step-by-step explanation
just dived each number bye 72 to find 12 witch we would get 6cm
What is x in 7x+2x-5=0
Answers
7x+2x=9x, so, now we have this:
9x-5=0, we, because is equal with 0, the terms are equal between them.
9x=5
x=5/9
0. 135 written as a fraction
Answers
Find the GCF of 135 and 1000 and that would be 5.
Divide both the numerator and denominator by the GCF
Simplify
Answer: 27/200.
Explains how to write 0.135 as a fraction.
0.135 written as a fraction is 135/1000.
t - 5w = 3j solve for t (literal equations)
Answers
T=5w+3j
Yes this is the answer
T = 3j + 5w
hope it helps
Solve the quadratic equation by taking square roots. Allow for imaginary solutions. Enter your answer in simplest form. Equation: 5x (squared) - 5 = -17
Answers
First add 5 to both sides:
5x^2 = -12
Now, divide by 5
x^2 = -12/5
Take the square root of both sides
x = sqrt -12/5
Because there can't be a square root of a negative number, your answer is:
x = sqrt -12/5 * i
Hope this helps!
How do I solve this
Answers
[tex]x^2-2x-27=-5x+1\\ x^2-2x+5x-27-1=0\\ x^2+3x-28=0\\ x^2+7x-4x-28=0\\ x(x+7)-4(x+7)=0\\ (x+7)(x-4)=0\\ x=-7\ or\ x=4\\ [/tex]
What is the slope of the equation y = -x + 4
Answers
y = mx + b
In this equation, m is the slope, so the slope in this equation is -1
Hope this helps!
The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 ft , find its area.
Answers
So we can assign the width a variable, x, and then for length, 5x, because it's five times the width, or x.
So, 2 * 5x + 2 * x
Or 10x + 2x
12x
Since that equals 96,
12x = 96
/12 /12
x = 8
Area is length times width.
Length is 5x, and width is x.
So basically, 5x * x = area
Or, if you substitute the variable in:
5 * 8 * 8
320 square feet
The width of the rectangle is 8 ft and the length is 40 ft. Therefore, the area of the rectangle is 320 square feet.
Explanation:To find the dimensions of the rectangle, let's use variables. Let the width of the rectangle be x. Since the length is five times the width, the length would be 5x. The perimeter of a rectangle is equal to twice the sum of its length and width. Therefore, we can set up the equation 2(5x + x) = 96 to find the width.
Simplifying the equation, we have 12x = 96. Dividing both sides by 12, we get x = 8. So the width of the rectangle is 8 ft.
Now, we can calculate the length by multiplying the width by 5. The length would be 5(8) = 40 ft. The area of a rectangle is equal to its length multiplied by its width. Therefore, the area of this rectangle is 8 ft * 40 ft = 320 square feet.
The following list shows the items and prices for a restaurant order. Calculate the total amount if there is a 7% tax and the customer leaves a 20% gratuity. 1 appetizer: $7.39 2 entrees: $16.99 each 1 dessert: $5.29 2 drinks: $2.30 each a. $65.82 b. $65.10 c. $54.85 d. $40.60
Answers
7% of $51.26 is $3.59, which adds up to $54.85
20% of $51.26 is $10.25, which, with the tax included here, adds up to $65.10. Hope this helped.