Answer:
Area of Segment = 3.26 in² (Approx)
Step-by-step explanation:
Given:
Radius (r) = 6 in
Angle (θ) = 60°
Find:
Area of segment
Computation:
Area of Segment = (θ/360)πr² − (1/2)r²sin(θ)
Area of Segment = (60/360)(22/7)(6)² − (1/2)(6)²sin(60)
Area of Segment = (1/6)(22/7)(36) - (0.5)(36)sin(60)
Area of Segment = 18.8571429 - 15.5884573
Area of Segment = 3.2686856
Area of Segment = 3.26 in² (Approx)
Suppose that a line segment is translated. Which of the following is true?
The line segment's position and length change.
The line segment's position changes, but its length remains the same.
The line segment's slope changes, but its length remains the same.
The line segment's length and position remain the same.
Answer:
The line segment's position changes, but its length remains the same.
Step-by-step explanation:
When a line segment is translated, it only will move its position up, down, or to the side.
The slope and length will stay the same, but the position will change.
So, this answer is correct because the position changes but not the length.
Find the area of the circle to the nearest hundredth with r=4cm. d=18in.
Answer:
1.r = 4 cm
A(circle) = π·r²
= π·(4cm)²
= 3.14·16cm²
= 50.24 cm²
2.d = 18 in
d = 2r => r = d/2 = 18in/2 = 9 in
A(circle) = π·r²
= 3.14·(9in)²
= 3.14·81in²
= 254.34 in²
Simplify (7x2− 2x + 9) + (3x2+ 15x − 4)
Answer:
10x^2+13x+5
Step-by-step explanation:
(7x^2− 2x + 9) + (3x^2+ 15x − 4)
Combine like terms
(7x^2+3x^2− 2x+ 15x + 9 − 4)
10x^2+13x+5
Answer:
[tex]10x^{2} + 13x + 5[/tex]
Step-by-step explanation:
In this equation, you need to add all the like terms. For example, 7x² and 3x² are like terms, since they both are being squared.
First find the like terms:
7x² + 3x²
-2x + 15x
9 - 4
Now simplify the above equations.
7x² and 3x² is equal to 10x². You only have to add the whole number, the exponent stays the same.
-2x + 15x is equal to 13x. Since -2 is negative, you can simply take away two from 15, which is 13, making it 13x.
9 - 4 is equal to 5.
Now add everything together.
[tex]10x^{2} + 13x + 5[/tex]
Your answer is 10x² + 13x + 5.
PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECTTT
Answer:
The answer is: $0.51.
Step-by-step explanation:
Since Maggie bought 4 boxes of cereal then the total cost of the cereal she bought is $9.60 or 960 cents. $10.11 can be converted to 1011 cents:
1011 - 960 = 51
The amount of money we're left with is 51.
Answer: A) $0.51
Step-by-step explanation:
Maggie bought 4 boxes of cereal, each costing $2.40. Thus, she spent $2.40*4, or $9.60 on cereal. Because she spent $10.11, she spent $10.11-$9.60=$0.51
Hope it helps <3
The negative reciprocal of -5/8 is: A. -5/8 B. 5/8 C. 8/5 D. -8/5
Answer:
+ 8/5
Step-by-step explanation:
Reciprocal is flip
Take the negative flip
- ( - 1 /(5/8))
+ 8/5
Answer:
8/5
Step-by-step explanation:
The reciprocal of a number is 1/that number.
So, the reciprocal of -5/8 is [tex]1/\frac{-5}{8}[/tex]= 1 times 8/-5
8/-5 is the reciprocal of -5/8.
However, we are looking for the negative reciprocal.
So, multiply the number by negative 1.
[tex]\frac{8}{-5} (\frac{-1}{1}[/tex]) = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex]
Find the missing length indicated.
Answer:
x = 15
Step-by-step explanation:
From the above diagram, we can see that the right angled triangle has been split into two by drawing a line from the altitude.
This would really in the following ratios or proportions below
25 : x = x : 9
25/x = x/9
Cross Multiply
x² = 25 × 9
x² = 225
x = √225
x = 15
Can you guys plz help me fast !!!
Answer:
Option A : 200, 250, 300, 350, 400, 450
Add 50 to each weekly result
Option B : 200, 220, 242, 266.2, 292.82, 322.1
Mutiply the weekly result with 110/100
The value of /42 is rational or irrational numer. It’s value is between 3 and 5/. 5 and7/7and 9
Answer:
irrational
5 and 7
Step-by-step explanation:
sqrt( 42) irrational
it is not a perfect square so it is irrational
Looking at perfect squares
6^2 = 36
7^2 = 49
42 is between 36 and 49
so sqrt(42) is between sqrt(36) and sqrt(49)
sqrt(42) is between 6 and 7
Given the choices, 5 and 7
Answer:
Irrational
5 and 7
Step-by-step explanation:
[tex]\sqrt{42}[/tex] is irrational (Those Roots are usually irrational which cannot be simplified)
=> [tex]\sqrt{42}[/tex] = 6.48 (Between 5 and 7)
PLEASE HELP, Thank YOU
Answer:
5652ft²Step-by-step explanation:
Surface area of a hemisphere is 2πr²
Where r is the radius
radius = diameter / 2
From the picture diameter = 60ft
Therefore
radius = 60/2 = 30ft
Surface area of the hemisphere is
2π(30)²
= 2(900)× 3.14
= 1800 × 3.14
= 5652ft²
Hope this helps you
Answer:
Your answer would be 5652ft squared
Step-by-step explanation:
rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c. 6+9x^2
Answer:
see below
Step-by-step explanation:
6+9x^2
Rewriting in decreasing powers of x
9x^2 +0x + 6
ax^2+bx+c
a = 9
b =0
c = 6
FIRST GET AN BRAINLLEST !!!!! Solve the inequality below, then determine which number line shows the solution graphed correctly. 7x+9>−5
Answer:
Number Line B
Step-by-step explanation:
Let's simplify the inequality.
7x + 9 > -5
7x > -14
x > -2
The number line that represents this is B.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Include a let statement in your answer.
Answer:
54
Step-by-step explanation:
Number of students travelled by bus = 331 - 7 = 324
Number of students in each bus = 324/6 = 54
Answer:
First thing you would do is subtract 7 from 331 and then you would be left with 324 and then you divide the 324 by 6 and a would end out with 54
Step-by-step explanation:
Please mark brainliest
URGENT !!! f(x) = x^2. what is g(x)?
A. [tex]g(x)=4x^2[/tex].
Inserting point [tex](1,4)[/tex] into equality [tex](4=4\cdot1^2)[/tex] results in true.
Hope this helps.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x -1) was substituted in place of the x?
Answer:
B.
Step-by-step explanation:
f(x - c) shift the function c units to the right.
In this case, if (x - 1) was substituted in place of the x, the graph would shift 1 unit to the right.
If you want to graph the new function and know the graph of the previous one, this relationship avoids you the substitution of (x - 1) into the function and expansion of the expression to obtain a new quadratic formula.
Answer:
The answer would be B!!
Step-by-step explanation:
Subtract b (b2 +b -7) + 5 from 3b2 – 8 and find the value of expression obtained for b = -3.
Answer:
Step-by-step explanation:
Hi your answer is 1975
Simplify the expression so there is only one positive power for the base, -5. -5^7÷-5^2? A.1/5^9 B.-5^9 C.-5^5 D.1/5^5
Answer:
-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer
Step-by-step explanation:
plz give me brainlist
Answer:
5^5
Step-by-step explanation:
given f(x) = x -2, if the domain is 5, find the range
Answer:
3solution,
[tex]f(x) = x - 2[/tex]
X= 5
Plugging the value,
[tex]f(5) = 5 - 2 \\ \: \: \: \: = 3[/tex]
Hope this helps...
Good luck on your assignment..
What is 3/4 plus 1/8 plus 4/5 plus 17/125 as a decimal? Help! Thanks.
Answer:
1.811
Step-by-step explanation:
3/4 + 1/8 + 4/5 + 17/125=1811/1000 or 1 811/1000 = 1.811
Answer:
The answer is 1.811.
PLEASE HELP ASAP Brent is driving to a conference in another state. Three hours after leaving his home and beginning his drive, Brent is still 470 miles from his destination. After another 4 hours of driving, Brent is 258 miles from his destination. After 9 hours of driving, Brent plans to stop at a hotel for the night and begin his trip again 12 hours later. If Brent’s average speed had been faster or slower on his trip, what features of the graph would change and how would they change in each situation. Explain your answers. Type your response here: Brent decided that he needed to reach his destination in 11 hours of driving. What would his average rate of speed, rounded to the nearest hundredth, need to be to accomplish this? Show your work.
Answer:
The average rate of speed needed is 76 miles/hr.
Step-by-step explanation:
From the provided data, we can conclude two points:
Brent is 470 miles from his destination after driving for 3 hours, (3, 470).Brent is 258 miles from his destination after driving for 7 hours, (7, 258).Form an equation representing the distance left to Brent's destination, d, based on the amount of time he has spent driving, t.
[tex](d-d_{1})=\frac{d_{2}-d_{1}}{t_{2}-t_{1}}\cdot (t-t_{1})\\\\(d-470)=\frac{258-470}{7-3}\cdot (t-3)\\\\d-470=-53(t-3)\\\\d=-53t+159+470\\\\d=629-53t[/tex]
The speed of a vehicle is:
[tex]speed=\frac{distance}{time}\\\\\Rightarrow distance=speed\times time[/tex]
So distance is directly proportional to the speed, i.e. as speed increases the distance covered also increases and as speed decreases the distance covered also decreases.
So, if Brent’s average speed had been faster or slower on his trip, the distance left to be covered would decrease or increase accordingly.
Consider the provided information:
3 hours of driving → 470 miles left
7 hours of driving → 258 miles left.
That in 4 hours Brent covered 212 miles.
Speed at which he was driving was:
[tex]speed=\frac{distance}{time}=\frac{212}{4}=53\ \text{miles/hr}[/tex]
Now it is provided that after 9 hours of driving, Brent plans to stop at a hotel for the night.
That is he drove for another 2 hours at the same speed, i.e. 53 miles/hr.
Compute the distance covered between 7 hour to 9 hour as follows:
[tex]distance = speed\times time=53\times 2=106\ \text{miles}[/tex]
Remaining distance = 258 - 106 = 152 miles.
If Brent wants to reach his destination in 11 hours of driving then he has to cover the remaining 152 miles in the next 2 hours.
Compute the speed as follows:
[tex]speed=\frac{distance}{time}=\frac{152}{2}=76\ \text{miles/hr}[/tex]
Thus, the average rate of speed needed is 76 miles/hr.
Answer:
WHAT DOES THE SLOPE OF THE LINE REPRESENT????
Step-by-step explanation:
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.
Answer:
[tex]3.5725 * 10^5[/tex]
Step-by-step explanation:
Given
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.
Required
How many grains of sand would there be in a 5-gallon container?
Let x represent the number of grains in 5 gallon; So, From the question, we have that;
8 cups = 3.5725 * 10^4
5 gallon = x
Cross Multiply
x * 8 cups = 5 gallon * 3.5725 * 10^4
Recall that 1 gallon = 16 cups
[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]
[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]
Divide both sides by 8
[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]
[tex]x = 10 * 3.5725 * 10^4[/tex]
[tex]x = 3.5725 * 10^5[/tex]
Hence, the number of grains of sand in 5 gallon is [tex]3.5725 * 10^5[/tex]
Which of the following is the equation of the graphed circle? answers: 1) (x + 2)2 + (y – 3)2 = 25 2) (x – 2)2 + (y + 3)2 = 25 3) (x – 2)2 + (y + 3)2 = 5 4) (x + 2)2 + (y – 3)2 = 5
Answer:
( x - 2)^2 + ( y +3) ^2 = 25
Step-by-step explanation:
The center is at (2,-3) and the radius is 5 units
A circle can be written as
( x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
( x - 2)^2 + ( y - -3) ^2 = 5^2
( x - 2)^2 + ( y +3) ^2 = 25
factor the expression 2x^2-5x-3
Answer:
(2x+1)(x-3) is the factorized form of the given expression
Step-by-step explanation:
=2x^2-5x-3
By using sum and product rule
=2x^2-6x+1x-3
By taking common
=2x(x-3)+1(x-3)
=(2x+1)(x-3)
I hope this will help you :)
Answer:
(x-3)(x+1/2)
_____________________________________
I really need help on this please.
Answer: 39
Step-by-step explanation:
Because the vertex of the angle is at the center of the circle, the arc would be equal to it. Hope this helped:)
Answer:
37°
Step-by-step explanation:
39 = 1/2(41 + DE)
78 = 41 + DE
37 = DE
Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?
Answer:
20
Step-by-step explanation:
lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d
combinations include:
Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed
however, it isn't necessary to write out all the combinations as you could just do 5*4=20.
if i have to do 60 hours in 5 weeks how many mintues do i do a day
Answer:
102 minutes
Step-by-step explanation:
If you have to work 60 hours in five weeks, there are seven days in a week so I multiply 7 by 5 (5 being the number of weeks) and I divide that by 60, getting 1.7 hours a day, which is 102 minutes. Hope this helped!
Answer:
Hey there!
60 hrs in 5 weeks is equal to 3600 minutes in 35 days.
So, each day you would have to do 102.86 minutes.
Hope this helps!
the volume of a cube depends on the length of its sides
Answer:
True
Step-by-step explanation:
The volume of a cube depends on the length of its sides.
To find the volume, you will need only one side measurement, because a cube has all lengths equal.
V = a³
True.
Volume of cube is [tex]V=a^3[/tex] where [tex]a[/tex] is cube's side. Thus volume depends on sides.
Hope this helps.
Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFraction 7 Over 8 EndFraction foot Negative one-fourth foot –1 foot –2 feet Negative StartFraction 5 Over 8 EndFraction foot. If You Help ME and GET it CORRECT u will give u brainiest
Answer:
[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot
Step-by-step explanation:
We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot
We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?
i) [tex]-\frac{7}{8}[/tex]
So, this location is not higher than [tex]\frac{-3}{4}[/tex]foot
ii)[tex]-\frac{1}{4}[/tex]
So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]
So, this location is higher than[tex]\frac{-3}{4}[/tex] foot
iii) - 1 foot
[tex]-1 < \frac{-3}{4}[/tex]
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
iv)-2 feet
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
v)[tex]\frac{-5}{8}[/tex]
So, this location is higher than [tex]\frac{-3}{4}[/tex]foot
Answer: B, E
Step-by-step explanation:
The guy above is right but just to make it more easy
Write a polynomial that is a trinomial, has the coefficients 3 and 4, the variable x,
and the constant 7
Answer:
3x+4x+7
Step-by-step explanation:
First, a Trinomial consists of three terms.
so we have blank+blank+blank
Next we need to add the coefficients.
3+4+blank
Add the variables.
3x+4x+blank
And lastly, add the constant.
3x+4x+7
Good luck!
A trinomial that meets the given criteria is:
p(x) = 3*x^2 + 4*x + 7
How to get a trinomial?
A trinomial is a polynomial with 3 terms, we can write it as:
p(x) = A*x^n + B*x^k + C*x^m
Where n, k, and m, can be only natural numbers equal to or larger than zero, and A, B, and C are the coefficients.
First, we know that our trinomial has a constant 7, then one of the exponents must be 0, let's say that m = 0, then C = 7.
p(x) = A*x^n + B*x^k + 7
Now, we know that the other coefficients must be 3 and 4, so we can use:
A = 3B = 4And there are no more restrictions, so we can use any values for n and k, I will use:
n = 2k = 1.Then the trinomial becomes:
p(x) = 3*x^2 + 4*x + 7
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
The exact values for the intersection point is (20/9, -107/9)
Given the system of equation expressed as;
y = −13x + 17;
y = 5x - 23
Since they are both y-values, we will equate both expressions to have:
-13x + 17 = 5x - 23
-13x - 5x = -23 - 17
-18x = -40
x = 40/18
x = 20/9
Substitute x = 20/9 into equation 2:
y = 5x - 23
y = 5(20/9) - 23
y = 100/9 - 23
y = -107/9
Hence the exact values for the intersection point is (20/9, -107/9)
Learn more on solution to equations here: https://brainly.com/question/13729904
Answer:
The answer is 7.5 and 14.5
( 7.5 , 14.5 )
Step-by-step explanation:
Find (f•f)(3) f(x) = x^2 - x