Answer:
−16 + 63i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
Hope this helps! :D
A ferris wheel has a diameter of 80 meters. How far does a rider travel in one complete rotation around the ferris wheel?
Given parameter:
Diameter of the ferris wheel = 80m
Unknown:
Distance covered in one complete rotation = ?
Solution:
One complete rotation will sweep through the circumference of the wheel.
So,
One complete rotation = Circumference of circle = 2 [tex]\pi[/tex] r
Where r is the radius;
Radius here is [tex]\frac{80}{2}[/tex] = 40m
So circumference = 2 x [tex]\pi[/tex] x 40 = 80[tex]\pi[/tex]
The distance the wheel sweeps through will be 80π m
Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in inches, which expression can she use to find the answer? 68.7 minus t StartFraction t Over 68.7 EndFraction StartFraction 68.7 Over t EndFraction t minus 68.7
Answer:
68.7 - t
Step-by-step explanation:
Here, we are interested in giving the expression that Kalinda can use to know the difference in height between her and Terrence
From the question, Kalinda is 68.7 inches tall while Terrence is t inches tall
To know the difference in their heights, we simply subtract Terrence’s height from Kalinda’a
Mathematically, that would be 68.7 - t
Answer:
Its A
Step-by-step explanation:
write the given equation of the line that passes through the given points
(4,0) and (0,2)
Answer:
y= -1/2x + 2
or y = -0.5x + 2
Step-by-step explanation:
Use the slope formula to get the slope:
(y2-y1)/ (x2-x1)
(2-0)/(0-4)
2/-4
-1/2
Plug in any point in Point-Slope Formula:
y - y1 = m(x-x1)
y- 0 = -1/2 (x -4)
y = -x/2 + 4/2
y= -1/2x + 2
The formula V=BH/3 shows how to find the volume of a pyramid. SOLVE for B.
A B=3V/H
B) B=3VH
B=3V-H
D B=3V+H
(b) Factorise fully 9b-3b squared
Answer:
Step-by-step explanation:
b(9-3)
3n + 6 = 18. What is the value of n
Answer:
n=4
Step-by-step explanation:
What is the slope of the line 2x - 5y = 9
Answer:
2/5
Step-by-step explanation:
Answer:
m
=
2
5
Step-by-step explanation:
WILL MARK AS BRAINLIEST
Solve the following equation and then check your solution. Show all of your work.
-17+n/5=33
Answer:
n = 250
Step-by-step explanation:
-17 + [tex]\frac{n}{5}[/tex] = 33
[tex]\frac{n}{5}[/tex] = 33 +17
[tex]\frac{n}{5}[/tex] = 50
([tex]\frac{5}{1}[/tex]) ([tex]\frac{n}{5}[/tex]) = 50 *(5)
n = 250
check: -17 + [tex]\frac{250}{5}[/tex] = 33
-17 + 50 = 33
33 = 33
Which Reason would be used to relate the named angles?
Corresponding Angles
Alternate Interior Angles
Same Side Interior
O None of the above
Determine the amount of potential energy of a 5.0 N book that is moved to three different shelves on a bookcase. The height of each shelf is 1.0m, 1.5m and 2.0m.
Answer:
Ep = weight x height = 5 x 1 = 5N ; 5 x 1.5 = 7.5N; 5 x 2 = 10N
Step-by-step explanation:
Hope that helps
I need the answer ASAP
Answer:
i just did this in class a week ago and i think it was option c
Step-by-step explanation:
Angles 1 and 5 are what type of angle pair? *
Answer:
Angle 1 and Angle 5 are corresponding angles
Step-by-step explanation:
Two angles that lie on the same side of the transversal in corresponding positions.
PLZ mark BRAINLIEST
factorize: (2a+b)^3+(a+2b)^3
Answer:
9(a+b) x (a²+ab+b²)
Step-by-step explanation:
expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiplyWhich of the following functions is graphed below?
Answer:
the answer is b
Step-by-step explanation:
hope this helps love:) i'm doing this rn in algebra..it's a pain!
Question 1 options:
m∠A = _____˚
m∠B = _____˚
m∠C = _____˚
m∠X = _____˚
m∠Y = _____˚
m∠Z = _____˚
Segment AB = _____ units
Segment BC = _____ units
Segment AC = _____ units
Segment XY = _____ units
Segment YZ = _____ units
Segment XZ = _____ units
Given:
Two triangles are congruent, i.e., [tex]\Delta ABC\cong \Delta XYZ[/tex].
To find:
All the measures of both triangle.
Solution:
We have,
[tex]\Delta ABC\cong \Delta XYZ[/tex].
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
[tex]\angle A=\angle X[/tex]
[tex]\angle B=\angle Y=90^\circ[/tex]
[tex]\angle C=\angle Z=37^\circ[/tex]
It triangle ABC,
[tex]\angle A+\angle B+\angle C=180^\circ[/tex] (Angle sum property)
[tex]\angle A+90^\circ+37^\circ=180^\circ[/tex]
[tex]\angle A+127^\circ=180^\circ[/tex]
[tex]\angle A=180^\circ -127^\circ[/tex]
[tex]\angle A=53^\circ[/tex]
So,
[tex]\angle A=\angle C=53^\circ[/tex]
[tex]AB=XY=3\text{ units}[/tex]
[tex]BC=YZ=4\text{ units}[/tex]
[tex]AC=XZ=5\text{ units}[/tex]
Therefore, m∠A = 53˚, m∠B =90˚ , m∠C =37˚ , m∠X = 53˚, m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .
If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o
Answer:
n and o
Step-by-step explanation:
Because those 35 and x are corresponding angles and they are lying on line n and o.
Hope this helped!
Scott borrowed money from the bank for repairs at an 8% interest rate, At the end of 1 year, he owed a total of $7992 in principal and interest. How much money did he borrow? a) Write the model first b) solve the equation.
Answer:
I = $3,772, P = $8,200, r = ?, t = 4 years
Step-by-step explanation:
just got it right on my quiz
What is the value of 19,356 ÷ 59?
Answer:
Approximately 328.067
Step-by-step explanation:
The value of 19,356 ÷ 59 is approximately 328.068.
Full Answer: 328.06779661
PLZ HELP I WILL MARK BRAILNLEIST!! 20. b) Find the side length of the square. [No label is required.] *
1 point
2x + 5 ft
6x – 11 ft
Your answer
This is a required question
Answer:
The length of one side is 13 feet.
Step-by-step explanation:
To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:
[tex]2x+5=6x-11[/tex]
In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:
[tex]5=4x-11[/tex]
After that, you solve it like a normal one-step equation. Add 11 to both sides.
[tex]16=4x[/tex]
Now, divide both sides by 4 and you will know how much [tex]x[/tex] is worth.
[tex]4=x[/tex]
Now that we know how much [tex]x[/tex] is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.
[tex]2(4)+5[/tex]
That would give us 13.
Answer:
the sides are 13
x= 4
Step-by-step explanation:
2x+5 = 6x-11 subtract five from both sides
2x = 6x-16 subtract 6x from both sides
-4x = -16 divide both sides by -4
x = 4 substitute into original problem
2(4) + 5 = 6(4) - 11
8 + 5 = 24 - 11
13 = 13
Use the figure to find measures of the numbered angles.
Answer:
1 = 137
2 = 43
3 = 43
4 = 137
Step-by-step explanation:
for the first line, do (180-137 = 43)
then, 43 would be corresponding angle to 2 - making them equal
2 would be vertically opposite to 3, making them equal
137 and 1 are corresponding- making them equal
4 is vertically opposite to 1 - making them equal
Sally has saved 41 quarters from washing cars. How many cents does Sally have ?
Answer:
Sally has $10.25 or 1,025 pennies
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the graph?
Answer is y=2x because when you look at graph it’s clear
Answer: y=2x
Step-by-step explanation:
0.6 + 0.008 + 0.0007 in standard form?
Answer:
0.0687
Explantion:
0.0007
0.008
0.6 +
____________
0.0687
Wyoming has 63,791 fewer people than Washington DC has. What is the population of Washington DC? Wyoming has 582,658 people total.
Answer:646449
Step-by-step explanation:You can use a calculator if Wyoming has 63781 fewer people than Washington you have to add that number to Wyoming’s population to get Washington’s
What does x equal to?
Answer:
Step-by-step explanation:
La X: En matemáticas la x hace referencia a una incógnita o variable. Variable quiere decir que puede tomar un valor específico dentro de conjunto. Por ejemplo, si tenemos "X+1=3" con X que pertenece al conjunto de los números enteros, la X toma el valor exacto de 2 del conjunto de los enteros.
3x+2(5x-3)=7
with steps
Answer: x=1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+2*(5*x-3)-(7)=0
3x + 2 • (5x - 3)) - 7 = 0
Pull out like factors :
13x - 13 = 13 • (x - 1)
13 = 0
A a non-zero constant never equals zero.
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
HELPPPPPPP PLEASEEEEE
Answer:
D
Step-by-step explanation:
The constant of proportionality is 8 as seen by the equation:
y = 8x
8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)
The number 8 will not change
Therefore, 8 is the constant ot proportionality
Gabriella had some candy to give to her four children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many did she start with
A) 15
B)13
C)16
D)30
Answer:
The answer is 15
Step-by-step explanation:
because it is 2 two each child and there are four and the mom has 7
Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
Clear answer
Back
Next
Answer:
third choice of those listed here
Step-by-step explanation:
Match the given statement to the pattern:
if H, then C.
__
If you take a class in television broadcasting, then you will film a sporting event
You should be able to see ...
H: you take a class in television broadcasting
C: you will film a sporting event
Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Answer:
It is
-0.5(3x+5)= -1.5x+2.5
Step-by-step explanation:
-0.5(3x+5)
multiply-0.5 with 3x and 5 to get rid of the brackets.
-0.5×3x= -1.5x
-0.5×5= 2.5
-1.5x+2.5
Answer:
Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Step-by-step explanation:
