Answer:
3.6 feet
Step-by-step explanation:
The height of the rollercoaster in feet throughout the underground section is modeled by the equation :
[tex]h(d) = 0.15d^2 - 1.5d[/tex] ....(1)
We need to find the height of the rollercoaster 6 feet horizontally through the underground section.
Put d = 6 feet in equation (1) as follows :
[tex]h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}[/tex]
or
h = 3.6 feet
So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.
Answer:
3.75 feet
Step-by-step explanation:
What is the difference of 12-5i and -3 + 4i
Find the equation of the line
Y= __x + __
Answer:
Step-by-step explanation:
(0, -9) and (3,3)
(3+9)/(3-0) = 12/3 = 4
y + 9 = 4(x - 0)
y + 9 = 4x - 0
y = 4x - 9
In triangle ABC, the measure of angle B is 50 degrees. Select all possible values for the measures of A and C if ABC is an acute triangle. m\angle∠A= 58 degrees; m\angle∠C= 72 degrees m\angle∠A= 100 degrees; m\angle∠C= 30 degrees m\angle∠A= 80 degrees; m\angle∠C= 50 degrees m\angle∠A= 60 degrees; m\angle∠C= 70 degrees m\angle∠A= 90 degrees; m\angle∠C= 40 degrees m\angle∠A= 105 degrees; m\angle∠C= 25 degrees
Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
Savannah paid $100 to join a music club. She then pays $1.00 per music download. Dominic joined a club for $25 but pays $2.50 per download. Determine the
number of downloads when the cost will be the same
Answer:
It would take 10 downloads
Step-by-step explanation:
Answer:
32 for Dominic and 5 for Savannah
Step-by-step explanation:
You can figure this out by first determining how many downloads Dominic has to make in order to have the total price equal to what Savannah paid just to join the club.
So Savannah paid $100 to join. Dominic only paid $25. So Dominic can spend $75 for downloads before he even gets up to what Savannah paid. Now you can figure out that it will take 30 downloads at $2.50 each to get to that $75.
You could say that Dominic is now equal to Savannah with both spending $100. Dominic would have made 30 downloads and Savannah would have 0. But I believe they want you to go a step further.
So now you just need to look at how many more downloads Dominic would have to make to get to an even full dollar amount. One more download would take him up to $102.50. A second additional download would take him to $105. Savannah would then only have 5 downloads for a total cost of $105 and Dominic would now have a total of 32 downloads for a total of $105.
Which table represents a function
Answer:
The top right
Step-by-step explanation:
In the top right table, every x value has only one y value.
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?
dilation
reflection
rotation
translation
Answer:
dilation is the answer
10. (02.03)
Below are the steps to solve an equations
Step 1: IX - 4l+ 1 = 8
Step 2: IX - 4l = 8 - 1
Step 3: IX - 4l = 7
Which of the following is a correct next step to solve the equation? (1 point)
X-4 = -7
x+4=-7
x + 4 = 7
-x-4= 7
Answer:
x-4 = 7 , x-4 = -7
Step-by-step explanation:
IX - 4l+ 1 = 8
Subtract 1 from each side
IX - 4l = 8-1
IX - 4l = 7
Then separate into two equations, one positive and one negative
x-4 = 7 x-4 = -7
what transformation is represented by the rule (x, y) (-x, -y)
If 7/9x - 4/9x = 1/4 +5/12
what is the value of x?
Answer:
x=2
Step-by-step explanation:
subtract 7/9x -4/9x
3/9x= 1/4 +5/12
first change 1/4 to 3/12
then add 3/12 + 5/12
3/9x = 8/12
change 3/9x to 1/3x then to 4/12x
4/12x = 8/12
then mulitiply by the reciprical 12/4 on both sides
x = 2
Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.
-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x
Answer:
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
2\3-4x+7/2= -9x+5/6
solve
Answer:
I think its -2/3
Step-by-step explanation:
2.39 x 4.37 =
Please solve for me
Answer:
10.4443
I hope this helps :D have a good day!
rational algebraic expression is an expression that is the ratio of two
Answer:
A rational expression is a ratio of two polynomials. The domain of a rational expression is all real numbers except those that make the denominator equal to zero.
Step-by-step explanation:
If a tennis court is 24 meters long, what is the approximate length in yards?
I NEED HELP PLZ ASAP!!!
Answer:
C is the answer
Step-by-step explanation:
Its hard to explain, but i'm 100% sure.
Answer:
All of them
Step-by-step explanation:
if you look closely at the shame and decipher each option they all come into form for that shape.
Hope Hopes^^
Barry
Please helppppppp i need it so I don’t get detention tomorrow .
Answer:
a) = 27
b) = 5
What is the value of the expression 5y2 + 4x when x = 2.5 and y = 3?
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Step-by-step explanation:
For angle BDG
The common angles are: Angle DBG, Angle DGB
The common sides are: DG, GB, BD
And for angle AEF
The common angles are: Angle EFA, Angle EAF
The common sides are: EF, FA, AE
FOR the BGD triangle, all sides are connected together, so, all of them are common and the angles as well
And the same exact thing with triangle AEF also
Hope it helps!
NEED HELP ASAP PLEASE
Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution
Answer: I believe it would be no solution
Step-by-step explanation
Answer:
No solutions
Step-by-step explanation:
y=7x+12;y=7x+2
Step: Solvey=7x+12for y:
y=7x+12
Step: Substitute7x+12foryiny=7x+2:
y=7x+2
7x+12=7x+2
7x+12+−7x=7x+2+−7x(Add -7x to both sides)
12=2
12+−12=2+−12(Add -12 to both sides)
0=−10
The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.
Answer:
The length of the window is 18 ft and its height is 14 ft
Step-by-step explanation:
System of Equations
Let's call:
L: Length of the window in feet
W: Width of the window in feet
According to the first condition of the problem:
[tex]L = W + 4\qquad\qquad [1][/tex]
The perimeter of the rectangle is 64 feet. The perimeter is calculated as:
P = 2L + 2W =64
Dividing by 2:
[tex]L + W = 32\qquad\qquad [2][/tex]
The system of equations [1] and [2] can be used to find the dimension of the window.
Substituting from [1]
W + 4 + W = 32
Simplifying:
2W = 32 - 4 =28
Solving:
W = 28/2 = 14
Using [1]:
L = 14 + 4 = 18
The length of the window is 18 ft and its height is 14 ft
Find the slope from the graph below.
Answer:
X=-2 (The slope is - 2/1)
6(p+6)- (p-6) I need help anyone pls
Answer:
5p + 42
Step-by-step explanation:
Step 1: Write expression
6(p + 6) - (p - 6)
Step 2: Distribute
6p + 36 - p + 6
Step 3: Combine like terms
5p + 42
consider the equation 8x+4y=64
where does the graphs intersect the x-axis ?
provide the coordinate point below ( , )
(a) Books to authors
(b) SIM cards to cell phone numbers
(c) True or False questions to answers
(d) Books to its ISBN
are one to one fuction?
Answer:Letter D.
Step-by-step explanation:
Is there enough information given to prove that the following pairs of triangles are congruent explain why or why not if not describe the information could be added to guarantee congruence
what is 5/8x + 1/5x = 99
x = 120
Too long to exaplin.
Just trust me
The line with the equation y=4x+5 undergoes a dilation with a scale factor of 2 and the center at (0,2). Determine the equation of the line that is a result of the dilation
Answer:
2=4x+5 I am not 100% sure about this though.
The purchase price of a camcorder is $520. What is the total price if the sales tax rate is 9.5%?
Answer:
4940
Step-by-step explanation:
well you simply just multiply 9.5 by 520
draw diagnose AC and BD on parallelogram ABCD. Make a point where the diagonals intersect, and label it E. Measure and record the lengths of the four line segments you just create
Answer:
AE = 2.5
BE = 1.5
CE = 2.5
DE = 1.5
Step-by-step explanation:
it's plato's answer
Answer:
AE = 2.5
BE = 1.5
CE = 2.5
DE = 1.5
Step-by-step explanation:
plato
