Answer:
Step-by-step explanation:
The perimeter is the arc length plus the two radius lines.
Arc length is:
s = (θ/360) 2πr
So the perimeter is:
P = (θ/360) 2πr + 2r
Given that θ=135 and r = 11:
P = (135/360) 2π(11) + 2(11)
P = 8.25π + 22
P ≈ 47.9
So the perimeter is greater than 47.5 cm.
5. What is the slope of the line ?
Answer:
it is 2/3
Step-by-step explanation:
Two cyclists left simultaneously from cities A and B heading towards each other at constant rates and met in 5 hours. The rate of the cyclist from A was 3 mph less than the rate of the other cyclist. If the cyclist from B had started moving 30 minutes later than the other cyclist, then the two cyclists would have met 31.8 miles away from A. What is the distance between A and B, in miles?
Answer:
73.92 miles
Step-by-step explanation:
Formula for calculating distance = speed × time
Rate/speed of cyclist from city A = ( x - 3 ) mph , Time Taken = 5 Hours
Rate/speed of cyclist from city B = x mph
If Cyclist from B had started moving 30 minutes later
Time Taken by cyclist from B = 4.5 Hours
If B had started 30 minutes later, then the two cyclist would have met 31.8 miles from A.
distance covered by cyclist from A = 31.8
Solution:
For city A:
distance = speed × time
31.8 = ( x - 3 ) × 5 ⇒ [tex]\frac{31.8}{5}[/tex] = x - 3
6.36 = x - 3 ⇒ x = 6.36 + 3 ⇒ x = 9.36 mph
For city B:
distance = speed × time
= 9.36 × 4.5
= 42.12 miles
Distance between A and B = 31.8 + 42.12
= 73.92 miles
Find the measure of arc BC
Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
Answer:
198
Step-by-step explanation:
360-162= 198
to determine a student's grade, a teacher throws out the lowest grade obtained on 5 tests, averages the remaining grades, and round up to the nearest interger. If Betty scored 75,90,88,72,and86 on her tests, what grade will she receive
Answer:
B grade
Step-by-step explanation:
75 + 90 + 88 + 86 = 339
339/4 = 84.75
Grade B = 80-89%
Answer:
Betty will get 85 grade.
Step-by-step explanation:
Betty scored 75,90,88,72, and 86 on her tests.
As given the teacher throws out the lowest grade, we will not consider 72.
Now the teacher averages the remaining grades, and round up to the nearest integer.
So, taking the average we get;
[tex]\frac{75+90+88+86}{4}[/tex]
= 84.75
Rounding this to nearest integer, we get 85.
Hence, Betty will get 85 grade.
what is
the sum of the distance,d, times 8 and 5
I think the answer is 40
I think it’s 8d+5.
Solve the equation for x by graphing -4x+1=3x-4
A x=0.75
B x=0
C x=-0.75
D x=-1.75
The equation for x by graphing -4x+1=3x-4 is x=0.75.
What is the equation for x by graphing -4x+1=3x-4?Given:
The equation is given as -4x+1=3x-4.Find:
The value of x.Solution:
We will solve the given equation
The Given equation is -4x+1=3x-4.
Now, add 4x on both sides of the equation, and we get;
-4x+1+4x = 3x-4+4x
1 = 7x-4
Now, add 4 on both sides of the equation, and we get;
1+4 = 7x-4+4
5=7x
Now, x =5/7 = 0.714 ≅ 0.75
Hence, the equation for x by graphing -4x+1=3x-4 is x=0.75.
Therefore, Option A is the correct answer.
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Given the volume of Figure A is 512cm ^3and Figure B is 343cm^3, find the ratio of the perimeter from Figure A to Figure B.
[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{\textit{figure A}}{\textit{figure B}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{512}}{\sqrt[3]{343}}\qquad \begin{cases} 512=&2^9\\ &2^{3\cdot 3}\\ &(2^3)^3\\ 343=&7^3 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{(2^3)^3}}{\sqrt[3]{7^3}} \\\\\\ \cfrac{s}{s}=\cfrac{2^3}{7}\implies \cfrac{s}{s}=\cfrac{8}{7}\implies s:s = 8:7\impliedby \textit{ratio of the }\stackrel{sides~and}{perimeters}[/tex]
You can rent time on computers at the local copy center for a $6 setup charge and an additional $5.50 for every 10 minutes. How much time can be rented for $21?
21$ is the start.
You need to take 6$ off because of the setup charge.
21-6= 15$ left
Every 10 minutes costs $5.50 so you need to divide 5.50 from 15 and multiply that answer by 10. 20 minutes can be rented. with 4$ left
The sum of the digits of a 2-digit number is 1. What is the number?
Answer:
The number is 10
I can’t do it rn so just dm me later
At miles, the cost for both trucks would be $ .
The cost of the truck rentals will be the same at 200 miles
How to determine the miles when the cost will be the same
From the question, we have the following parameters that can be used in our computation:
Company 1: 39.95 + 0.45x
Company 2: 59.95 + 0.35x
When the costs are equal, we have
39.95 + 0.45x = 59.95 + 0.35x
Evaluate the like terms
So, we have
0.1x = 20
Divide both sides by 0.1
x = 200
This means that the number of miles is 200
Question
two companies rent moving trucks. pack and go charges $39.95 flat fee and $0.45 for every mile driven. U-drive charges $59.95 flat fee and $0.35 for every mile driven.
At how many miles is the cost of the truck rentals the same
What is the value of y in the following system of linear equations
2x+2=y
Answer:
y = 12
Step-by-step explanation:
Given the 2 equations
2x + 2 = y → (1)
2y = 5x - 1 → (2)
Substitute y = 2x + 2 into (2)
2(2x + 2) = 5x - 1
4x + 4 = 5x - 1 ( subtract 4x from both sides )
4 = x - 1 ( add 1 to both sides )
x = 5
Substitute x = 5 into (1) for corresponding value of y
y = (2 × 5) + 2 = 10 + 2 = 12
Answer:
y=12
Step-by-step explanation:
look this solution :
Eddies towing company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Which equation best represents the relationship between the number of miles towed, m, and the total charges, c?
A.c=40+1.70
B.c=40+1.70m
C.c=40m+1.70
D.c=40m+1.70
Answer:
B
Step-by-step explanation:
$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.
$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.
THAT, would be added to the initial fixed me of $40.
Hence, total charges, c, would be 40 + 1.70m
Answer choice B is right.
The correct equation that represents the total charges from Eddies towing company, taking into account the fixed hooking fee and the per mile charge, is c = 40 + 1.70m. This equation combines the constant fee of $40 and the $1.70 charge per mile, where the number of miles is represented by m.
Explanation:The question is about finding the equation that represents the total charges, c, from Eddies towing company given the number of miles a vehicle is towed, m. Since the company charges a fixed fee of $40 for hooking the vehicle and an additional $1.70 for each mile the vehicle is towed, the correct equation should present these two charges. The fixed fee doesn't change with the number of miles, so it remains constant at $40. On the other hand, the per mile charge depends on how many miles are towed, hence it'll be multiplied with the number of miles, m. That results in an equation with the form of c = 40 + 1.70m. Therefore, the correct answer is option B.
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5hr = how many days
Answer:
Step-by-step explanation:
the day is going to be one because you can't covert hours to days. If it said 24 hours only many days? then the answer will be one because a new day has started.
(if you don't understand then comment)
The function f(x)=x^2+4.2x+3.6 has an axis of symmetof x=-2-. What is the minimum value of the function
ANSWER
The minimum value is -0.8
EXPLANATION
The given
[tex]f(x)=x^2+4.2x+3.6[/tex]
The minimum value is the y-value of the vertex (minimum point).
To find the minimum value of the function, we substitute x=-2 into the function to get;
[tex]f( - 2)=( - 2)^2+4.2( - 2)+3.6[/tex]
[tex]f( - 2)=4 - 8.4+3.6 = - 0.8[/tex]
The minimum value is -0.8
Would someone please break this down in a simple way on how to solve it.
Since you're finding the sum (adding) all you have to do is combine like terms.
5x ² is by itself because there is no other term with x²
3x and 12x because they have an x
-7 and 12 because they're normal coefficients
Then you're left with 5x² + 15x + 5, answer choice A
Answer:
5x² + 3x - 7 + 12x + 12 = 5x² + 15x + 5
So here we have 3x and 12x, you can see that they have the common factor which is x, so you keep x and add 3 and 12 and we have 15x. For the numbers just calculate as usual. What you have 5x² left, there is no number to subtract or add with it so it will remain unchanged.
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start superscript, 2, end superscript. What is the diameter of an extra large pizza from Gambino's Pizzeria?
Answer:
The diameter of an extra large pizza from Gambino's Pizzeria is [tex]44\ cm[/tex]
Step-by-step explanation:
we know that
The area of a circle (circular pizza ) is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]A=484\pi\ cm^{2}[/tex]
substitute in the formula and solve for the radius r
[tex]484\pi=\pi r^{2}[/tex]
Simplify
[tex]484=r^{2}[/tex]
[tex]r=22\ cm[/tex]
Find the diameter
Remember that the diameter is two times the radius
[tex]D=2(22)=44\ cm[/tex]
Answer:
44
Step-by-step explanation:
Determine ƒ(a + h) for ƒ(x) = 2x3.
Answer:
see explanation
Step-by-step explanation:
To evaluate f(a + h) substitute x = a + h into f(x)
f(a + h)
= 2(a + h)³
= 2( a³ + 3a²h + 3ah² + h³ ) ← distribute
= 2a³ + 6a²h + 6ah² + 2h³
A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
f(x) = 2x³
Substitute x → a + h
f(a + h ) = 2(a + h)³
It is known that (a + b)³ = a³ + b³ + 3a²b + 3ab².
Therefore,
f(a + h ) = 2[a³ + h³ + 3ah² + 3a²h]
f(a + h ) = 2a³ + 2h³ + 6ah² + 6a²h
Hence "A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³".
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which parallel lines statement is true for the figure
Without a specific figure, it's not possible to definitively answer which parallel lines statement is true. However, parallel lines are equidistant and never meet, contrasting with mutually perpendicular lines, which intersect at right angles.
Explanation:Given the various contextual clues from the fragments presented, it seems that the question concerns the properties of parallel lines and their behavior in a geometric or physical context, possibly relating to vectors, navigation, or electrical currents. However, without a specific figure or more detailed information, it's not possible to accurately determine which statement is true regarding the parallel lines in the figure.
For parallel lines, we know that they are equidistant from each other at all points and will never meet, no matter how far they are extended. This trait could relate to the x-axis alignment if we assume the lines are coplanar. On the other hand, if lines are mutually perpendicular, they will intersect at right angles to each other and therefore are not parallel.
D) AB is parallel to CD.
To understand why this statement is true, let's analyze the properties of a trapezium and the given figure.
A trapezium is a quadrilateral with one pair of parallel sides. In this case, AB and CD are the sides of the trapezium.
Looking at the given figure, we can see that AB is the upper side and CD is the base of the trapezium. Since AB and CD are not intersecting each other and are on opposite sides of the trapezium, they must be parallel to each other.
Therefore, the correct parallel lines statement is that AB is parallel to CD.
To summarize:
- AB and CD are the sides of the trapezium.
- AB is the upper side and CD is the base.
- AB and CD are not intersecting and are on opposite sides of the trapezium.
- Therefore, AB is parallel to CD.
When jack bought his new truck, there were 96 different ways his truck could be equipped. He had four choices of engines and two choices of transmissions. If only other choice was color, how many colors were available?
To Find all the different ways the truck could be, you would mutiply all the choices together.
There were three different choices.
Multiply the two known ones together than divide the total different ways by that to find the third choice.
4 x 2 = 8
96 / 8 = 12
There are 12 colors available.
Answer:
There are 12 colors available
Step-by-step explanation:
We have product rule which states that if there are [tex]n_{1}[/tex] ways of doing one task, and [tex]n_{2}[/tex] ways of doing another task then there [tex]n_{1}n_{2}[/tex] ways of doing the tasks together.
Let us assume that there are x choices for colors
so we have 4 ways of selecting engines , 2 ways of selecting transmissions and x ways of selecting colors
number of ways of truck could be equipped = [tex]4*2*x[/tex]
= [tex]8x[/tex]
it is given that number of ways truck could be equipped= [tex]96[/tex]
so we have
[tex]8x= 96[/tex]
[tex]x=\frac{96}{8}[/tex] ( divide both side by 8)
[tex]x= 12[/tex]
There are 12 colors available
help ive been trying for hours and i keep getting it wrong. so i will give the person 20 points if you do it
5- 25
4- 20
2- 10
please give brainliest if correct
How many points are contained on a line
Answer:
If you are talk about a line segment, it would contain two points.
If your talking about a ray, it would contain 1 point.
If your talking about just the line, it would contain no points.
Step-by-step explanation:
What is the area of this rectangle?
10 units
20 units
24 units
48 units
The correct answer will get branliest :)
Answer:
The area is A = L * W = 24 units^2
Step-by-step explanation:
The width (measured horizontally) is (7 - 3), or 4 units. The height (measured vertically) is (8 - 2), or 6 units.
The area is A = L * W = (6 units)(4 units) = 24 units^2.
Answer:
24^2
Step-by-step explanation:
Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)
Answer:
y = [tex]\frac{1}{5}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{1}{5}[/tex], hence
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 10, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = [tex]\frac{1}{5}[/tex] x + 8
Question 5 J, please provide each step
Answer:
x = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Multiply all terms in the equation by the lowest common multiple of 3 and 5, that is 15. This will eliminate the fractions in the equation
10(1 - 2x) - 30x = - 6 + 20(2 - 3x) ← distribute and simplify both sides
10 - 20x - 30x = - 6 + 40 - 60x
10 - 50x = 34 - 60x ( add 60x to both sides )
10 + 10x = 34 ( subtract 10 from both sides )
10x = 24 ( divide both sides by 10 )
x = [tex]\frac{24}{10}[/tex] = [tex]\frac{12}{5}[/tex]
Two coins are flipped. What is the probability that both of the coins land on heads up
Answer:
0.25, 25%, or 1/4
Step-by-step explanation:
There are two possibilities for each coin: heads or tails. So the chance of getting heads for the first flip is 50%, or 1/2. To find the probability for both, you multiply 1/2*1/2 and get 1/4.
The probability that both of the coins land on heads up when two coins are flipped is 1/4. This can be obtained by obtaining the possible outcomes and using formula for probability.
What is the formula of Probability?The formula of Probability is,
P= number of favorable outcomes/ total number of outcomes
Calculate the probability for the question:When two coins are flipped the possible outcomes are,(H,H), (H,T), (T,H), (T,T), that is, the total number of outcome is 4.
The outcome where both of the coins land on heads up is (H,H),that is, the number of favorable outcome is 1.
Thus the probabilty is, P(both coins heads up)=1/4Hence the probability that both of the coins land on heads up when two coins are flipped is 1/4.
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How many cubes with sides length of 1/2 cm does it take to fill the prism
Answer:
40 cubes
Step-by-step explanation:
We need to determine the volume of the cuboid.
[tex]Volume=lbh[/tex]
We substitute the given dimensions l=2.5cm,w=2cm and h=1cm.
[tex]Volume=2.5\times2\times1cm^3[/tex]
[tex]Volume=5cm^3[/tex]
The volume of the cube is [tex]Volume =(\frac{1}{2})^3=\frac{1}{8} cm^3[/tex]
We need to divide the volume of the cuboid by the volume of the cube to get the number of cubes that can fill it;
[tex]\frac{5}{\frac{1}{8} }=8\times 5=40[/tex]
Simplify -20b^8 + 2b^8
Answer:
Step-by-step explanation:
Answer:
-18b^8.
Step-by-step explanation:
To simplify an expression, we combine the elements that are similar (look the same).
So, it we have -20b^8 + 2b^8, we see that there are 2 terms with b^8. We need to simplify them.
So, we have -20b^8 + 2b^8, that addition leaves -18b^8.
-18b^8 cannot be simplified more.
Which are right triangles that can be formed using a diagonal through the interior of the cube? Select all that apply.
A) Triangle CEG
B) Triangle AEH
C) Triangle CFG
D) Triangle BCH
E) Triangle BFG
F) Triangle DEG
Answer:
triangle AEH, triangle CFG, triangle BFG, and triangle DEG.
so b,c,e,f
this is right for e2020.
The right triangles that can be formed using a diagonal through the interior of the cube are A) Triangle CEG, B) Triangle AEH and C) Triangle CFG
Which are right triangles that can be formed using a diagonal through the interior of the cube?In a cube, a diagonal through the interior can form right triangles when it is perpendicular to a face of the cube.
Based on this, the right triangles that can be formed are:
A) Triangle CEG (since CE is perpendicular to face CDEG)
B) Triangle AEH (since AE is perpendicular to face ABCD)
C) Triangle CFG (since CF is perpendicular to face ABCD)
D) Triangle BCH (since BC is perpendicular to face CDEG)
So, the correct options are A, B, C, and D.
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What is the percent when the balance goes from $300 to $60?
Answer:
80% decrease
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Help me answer this question please
Answer:
The answer would be 74.
Step-by-step explanation:
g(-4)=-4(-4)+7
g(-4)=16+7
g(-4)=74
f(23)=3(23)+5
f(23)=74
(fog)(-4)=74
Answer:
The answer is 74.
here's how to solve the equation
g(-4)=-4(-4)+7
g(-4)=16+7
g(-4)=74
f(23)=3(23)+5
f(23)=74
(fog)(-4)=74
hope this helps