Answers
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + 44° = 360°
For this topic, here are some general angle rules for polygons:
n is the number of sides180° (n – 2) = sum of interior angles of any polygon.180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].360° = sum of exterior angles of any polygon.360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].Related Questions
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $. Complete parts a through c below.
Answers
Answer:
a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore given as follows:
You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.
a. Should the cost of service and insurance determine which option you choose?
A. Yes, because you probably don't have to pay for services when you buy the car.
B. No, because it is cheaper to lease the car than to buy it.
C. No, because you will probably have to pay for service and insurance with either plan.
D. Yes, because you get a discount on your insurance when you lease the car.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)
B. No, the total cost of the car at the end of the lease is $___(fill in the blank)
c. What are some possible advantages of leasing the car?
A. You can sell the car whenever you want and you can make money on the car when you sell it.
B. The insurance costs less and you get a service discount.
C. You can give the car back whenever you want and you can get a new car whenever you want.
D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
The explanation of the answer is now provided as follows:
a. Should the cost of service and insurance determine which option you choose?
No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.
Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
From part a above, it is stated that the cost of service and insurance should not determine which option to choose. Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.
This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.
Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:
Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400
Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. What are some possible advantages of leasing the car?
Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.
Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Help ASAP I need it quick please and thank you!!!!!
Answers
If the sinø=7/12, what is cosø?
Answers
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
PLEASE HELP W MATHHHH
Answers
Answer:
(15m^2 + 5)
Step-by-step explanation:
(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)
15m2 + 0m + 5
=> 15m^2 + 5
Answer:
try adding all the sides up
Step-by-step explanation:
Which equation represents the line that passes through points B and C on the graph?
A. Y=2x-6
B. Y=2x+10
C. Y=2x-6
D. Y=2x+10
Answers
1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.
Answers
Answer:
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Step-by-step explanation:
Area of a trapezium:
[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]
This formula is valid if b1 and b2 are parallel and h is perpendicular to both.
Since the trapezium given in the problem satisfies those conditions, we use the formula with:
b1=15 cm
b2=7 cm
h=6.8 cm
[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]
[tex]A=74.8\ cm^2[/tex]
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answers
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
what is the restriction in the determining if the given equation is a polynomial?
Answers
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
It will really help if you answer atleast 2 of them
Answers
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
Solve for y.
14-y= b
Answers
14 = b + y
14 - b = y
I hope this helps!
The value of y in the expression 14 - y = b is y = 14 + b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.
Therefore,
14 - y = b.
- y = b - 14.
- ( - y) = - (b - 14).
y = 14 + b.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Find the slope of each line.
8x + y = 10
please help super soon my time is up in 5 minutes
Answers
Answer:
The answer is -8
Step-by-step explanation:
Subtracting 8x from both sides to get Y by itself, you would get
Y= -8X + 10, and we know that y=mx+b, where M is the slope, therefore -8 is M and the slope is -8.
Answer:
y = -8x + 10
Step-by-step explanation:
Just move the 8x to the other side of the equation. hope you finish
g(x)=17-2/3x;g(6)
please help me i only have 5 mins left
Answers
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
pleaseee help me answer this
Answers
I
And that line is the y axis while this line
_
Is x axis
A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.
Answers
Answer: 500
Step-by-step explanation:
The remainder of the question is:
How many units does the company need to sell to reach the target profit?
The required sales to break even will be calculated as:
= (Fixed cost + Required profit) / ( Price per unit - Variable cost)
= (120000 - 80000) / (100 - 20)
= 40000/80
= 500
The company needs to sell 500 units.
HELP PLEASE Can you please give an explication when you answer
The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C
Answers
Answer:
C. 6°C
Step-by-step explanation:
-3°C + 9°C = 6°C
At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answers
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
P(-2, -3) and Q(2, 7)
Answers
Answer:
The slope is 10/4
Step-by-step explanation:
Which ordered pair is a solution of the equation?
5x−2y=18
Answers
Answer:
Step-by-step explanation:
5x−2y=18
5(0)−2y=18
-2y=18
y=-9
5x−2(0)=18
5x+0=18
5x=18
x=18/5
What is the best estimate of the measure of the angle shown?
Answers
*answer was incorrect please see below*
as the angle is obviously larger than 90°, but not large enough to be 171° as if it were so it would be closer to a straight line (since 171° is closer to 180°) hence, the answer is 141° as it is the only option in between.
NEED HELP ASAP
A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.
A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?
9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds
Answers
Answer:
10,244 pounds
Step-by-step explanation:
|R|= √(7,500+10,000cos110)²+(10,000sin110)²
|R|= about 10,244 pounds
thats how i did it :I
Answer:
B
Step-by-step explanation:
Edge 2021
The equation that represents the linear relationship is y =
Will give brainlist
Answers
Answer: Y=150
Step-by-step explanation: SIMPLE MATH
Help me ASAP for this question.
Answers
Answer:
<6 and <8
<1 and <7
Step-by-step explanation:
Supplementary are angles that add up to 180 degrees. (A straight line)
Find the missing term ___,48,12,3
Answers
Answer:
192
Step-by-step explanation:
It’s the answer
Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?
Answers
Answer:x = 0.028571 cm3
Step-by-step explanation:
I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?
So, let x be the volume in cubit centimeters.
the mass is to the volume is as the mass is to the volume
3.5g /(1 cm3) = 0,1g / (x cm3)
Cross-multiply to get:
3.5x = 0.1
x = 0.1 / 3.5 (divide both sides by 3.5)
x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)
5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.
Answers
Answer:
Your answer is: Infinitely Many
Any value of x makes the equation true. Also, they are all real numbers.
Step-by-step explanation:
If you are solving to find all Complex Number Solutions: ↓
Solve the equation to find all of the complex solutions and that means that equation will be always true.
Hope this helped : )
(-1)(-11) please solve!!
Answers
Answer:
A positive 11
Step-by-step explanation:
11 is your answer
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answers
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
Noah said, "Division always results in a smaller number. When you divide a number by a second number, the result will always be smaller than the first number."
Jada said, "I disagree. I think the result can be larger or smaller, depending on the number you are dividing by."
Do you agree with Noah or Jada?
LaTeX: 20\div420÷4 results in a number
[ Select ]
20.
LaTeX: 20\div\frac{1}{4}20÷14 results in a number
[ Select ]
20, so
[ Select ]
is correct.
Answers
Answer:
Step-by-step explanation:
Greater, provided the divisor is positive.
It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.
If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).
Vote you brainiest please help me
Answers
Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this function.
Answer choices
a.y=-3x+2
b.y=x+2
c.y=3x-7
d.y=3x+2
Answers
Answer:
A
Step-by-step explanation:
I included the steps in the picture I attached. lmk if you need me to explain more