Answer:
Question 1:
The sum of interior angles of a polygon can be found by the following formula:
(n-2) × 180
Where n is the no. of sides
A pentagon has 5 sides
So,
= (5-2) × 180
= (3) × 180
= 540 degrees
Question 2:
Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8
So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]
Measure of interior angle = 135 degrees
Question 3:
Since, one interior angle in a hexagon measures 120 degrees.
So,
The interior angle should be subtracted by 180 to get the exterior angle.
Exterior angle = 180-120
Exterior Angle = 60 degrees
how to write 1/4 as a decimal
Answer:
0.25
Step-by-step explanation:
As a decimal, 0.25
As a fraction, 1/4
As a percentage, 25%
Answer:
0.25
Step-by-step explanation:
1/4
= 1*25/4*25
= 25/100
(Multiplying to both numerator and denominator doesn't change the value)
Now to write 25/100 as a decimal
The decimal point goes two places to the left in 25
(Since 100 has 2 zeroes so two values back)
25/100 = .25
= 0.25
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
State the negation of the following statement: It is cloudy.
Answer:
It is not cloudy.
Step-by-step explanation:
The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.
Answer: It is not cloudy.
Step-by-step explanation:
What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? Your answer: (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)
Answer:
Option (3). (5, 9.2)
Step-by-step explanation:
If Point P divides the line segment QR in the ratio of m : n.
Let the coordinates of the point P are (x, y)
Since coordinates of the point P are given by,
x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]
y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.
If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),
Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.
x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]
x = [tex]\frac{25}{5}=5[/tex]
y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]
y = [tex]\frac{46}{5}=9.2[/tex]
Therefore, Point P will be represented by (5, 9.2)
Option (3) will be the answer.
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Monday. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answer:
C) Intersecting
Step-by-step explanation:
happy to help ya:)
Answer:
Is thier an answer that you can put as Perpindicular because that should be the right answer
Step-by-step explanation:
Perpendicular lines are two lines that intersect and form right angles
What’s the answer to this question?
Answer:
The answer is
The first one, the second one and the last one.
Hope this helps.
What is the x-value of the vertex?
f(x)=(x+2)2−1
x-value of the vertex:
Step-by-step explanation:
f(x) = (x+2)(2-1)
= x(2-1)+2(2-1)
= 2x-x + 4-2
= 2x - x + 2
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
Theta= 0.32 rad
or Theta= 1.25 rad
Step-by-step explanation:
On the Aleks explanation
What is the midpoint of the segment shown below?
Answer:
B
Step-by-step explanation:
3 is too high up to be in the middle of the line, so the y value must be [tex]\frac{3}{2}[/tex] and this eliminates C and D as possible answers. -7 is too far back on the y axis, so this eliminates A. We are left with B.
Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?
Answer:
Greater than (>)
Step-by-step explanation:
Last week, Jason ran 26.1 miles.
He wants to run further this week.
Distance Run this week
2.4 miles to the park, Four times around the park= 4p (if distance around the park is p miles) 2.4 miles back from the park.Total Distance this week =2.4+4p+2.4
Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:
Total Distance covered this week > Total Distance Last week
[tex]2.4+4p+2.4>26.1[/tex]
Jason should use the greater than inequality sign.
Answer:
He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.
Step-by-step explanation:
James is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
Can someone pls help me solved this problem plz! I really need help plz someone help me solved it! I need help ASAP!
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
why is 1.5 + 2 + 3 = 5 + (2 + 3) false ?
Answer:
because each side has a different value making that = sign false
Step-by-step explanation:
Answer:
It is false.
Step-by-step explanation:
If you calculate the sum, you get 6.5 = 10.
6.5 does not equal ten. If you need me to go further in depth, let me know!
What are the x-intercepts
1. (x - 12) (x + 6) = 0
( x - 12 ) ( x + 6 ) = 0
x - 12 = 0 and x + 6 = 0
x = 12 and x = -6
Answer:
[tex]x=12,\:x=-6[/tex] are your x intercepts
Step-by-step explanation:
[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]
Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation
Answer:
This is a rotation of 180 degrees
Step-by-step explanation:
A translation is a shift side to side or up and down
A reflection is a mirror image across a line
A dilation is a shrink/enlargement
This is a rotation of 180 degrees. If we rotate around the origin 180 degrees, we will have the same image
Answer:
B. one 90 degree rotation
Step-by-step explanation:
im smart.
The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answer:
1,600
Step-by-step explanation:
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5
Answer:
f(3) = 7
Step-by-step explanation:
Using the recursive formula and f(1) = - 3 , then
f(2) = f(1) + 5 = - 3 + 5 = 2
f(3) = f(2) + 5 = 2 + 5 = 7
find the value of x when m<2= 8x
Answer:
x = 10
Step-by-step explanation:
The base angles of an isosceles triangle measure the same
The three angles of the triangle and 50 , 50 and <2
They sum to 180 degrees
50 +50 + 8x = 180
Combine like terms
100+8x = 180
Subtract 100 from each side
100-100 +8x = 180 - 100
8x= 80
Divide by 8
8x/8 = 80/8
x = 10
Answer:
x =10
Step-by-step explanation:
this is isosceles Δ so it has base ∠ that are =
sum of angles in Δ is 180 so 180 -50-50 = 80
m<2= 80
80= 8x
x =10
What is the mid point of the segment shown below please help
For one month Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert
that temperature from degrees Fahrenheit to degrees Celsius using the function co-32) What does C(F)
represent?
Answer:
the temperature of f degrees Fahrenheit converted to degrees Celsius.
Step-by-step explanation:
Can anyone help me with this problem?
Answer:
Step-by-step explanation:
What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:
1 | 2 1 -3
___________
We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:
1 | 2 1 -3
2
2
Now we add down the column:
1 | 2 1 -3
2
2 3
Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:
1 | 2 1 -3
2 3
2 3 0
Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1. What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.
2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.
So the answer you want is the first one!
Could someone help me out
Answer:
−10d^4+17d^2s−6s^2
which expression is equivalent
HELP ME PLEASE
Answer:
the 4th option is correct
Step-by-step explanation:
[tex]xy^{2/9}[/tex] Original expression
[tex]x(y^{2})^{1/9}[/tex] Split up the exponent
[tex]x(\sqrt[9]{y^{2} } )[/tex] The 1/9 of an expression is the same thing is the 9th root of the expression.
URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder
Step-by-step explanation:
Do it yourself will be help ful
[tex]6113 {2x}^{2} [/tex]
Add.
5x^2- 5x+1
2x^2+9x-6
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.
Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answer:
Your answer is B.
Have a great day!
Step-by-step explanation:
I'm so sorry that I do not have an explanation for you. I truly am.
Answer:
B
Step-by-step explanation:
Someone please help me! I need this done ASAP
Answer: ill try to do #3 for you
A. money= dependent (depends on days)
days= independent
B. im guessing its this: m=250d
C. $250x 10 days= $2,500 he will need to save
also #4 is y-2x-2
if this is all correct could u mark my answer brainliest if you want to thanks!
A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.
Answer:
Step-by-step explanation:
Surface area of sphere = 125 sq.ft
4πr² = 125
4*3.14*r² = 125
[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]
r = 3.15 ft
Answer:
631 feet
Step-by-step explanation:
125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.
Work out the mean for the data set below 4,3,5,5,4,4,3,2 give your answer as a fraction
