Answer:
The length of the arc is 1.6 cm
Step-by-step explanation:
To find the value of the length of the arc, we use the length of arc formula
Mathematically, this is;
theta/360 * 2 * pi * r
where theta is the central angle
In this case pi/4 = 180/4 = 45 degrees
r = 2 cm
So the measure of the length of the arc will be;
L = 45/360 * 2 * 22/7 * 2
= 1/8 * 4 * 22/7
= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm
Answer:
π/2
Step-by-step explanation:
Khan
jenny goes to the shop she buys
. three cups for £1.24 each
.three saucers for 95p each
. a teapot for £6.18
jenny has £20 to spend she also wants to but some plates, which are £1.57 each.
what is the greatest number of plates jenny she can buy
Answer:
5
Step-by-step explanation:
1.24 times 3 = 3.72
.95 (the value of pence to a pound in decimal form) = 2.85
6.18 for the teapot
2.72+2.85+6.18=11.75
She now has £8.25 left (20-11.75).
8.25/1.57=the amount of plates she can buy: 5.25477707006, so 5 with some money left
3x + 10 = 4x +54. How did you get your answer?
Answer:
[tex]x=-44[/tex]
Step-by-step explanation:
[tex]3x+10=4x+54[/tex]
To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:
[tex]10=x+54[/tex]
Then, subtract [tex]54[/tex] from both sides of the equation:
[tex]-44=x[/tex]
Therefore, [tex]x=-44[/tex]
-
To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:
[tex]3(-44)+10=4(-44)+54[/tex]
Multiply:
[tex]-132+10=-176+54[/tex]
Add:
[tex]-122=-122[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
[tex] = > 3x + 10 = 4x + 54[/tex]
We need to get the x on the one side and the numbers on the other.
Subtract 3x from both sides:
[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]
[tex] = > 10 = x + 54[/tex]
Subtract 54 from both sides:
[tex] = > 10 - 54 = x + 54 - 54[/tex]
[tex] = > - 44 = x[/tex]
Thus,the value of x is -44.
For checking:
[tex] = > 3x + 10 = 4x + 54[/tex]
[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]
[tex] = > - 132 + 10 = - 176 + 54[/tex]
[tex] = > - 122 = - 122[/tex]
Need help tx sm I appreciate it
Answer:
x =11Step-by-step explanation:
Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle
From the diagram
Interior angles = 5x +10 and 58
Interior angle = 11x+2
Equate both expressions
5x + 10 + 58 = 11x+2
5x - 11x = 2 - 10 - 58
-6x = 2-68
-6x = -66
x = -66/-6
x = 11
Hence the value of x is 11
Given the linear inequality graph, which statements are true?
A)
Point (8,3) is a solution.
B)
The graph represents y
- 1 x + 5.
9
The graph represents y s 3x + 5.
D
All points in the blue area are solutions.
E)
All points above the broken line are solutions,
Answer: answer is b
Step-by-step explanation: I know it’s b
Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions
Step-by-step explanation:
Okay, so the first thing that we have to do is divide 13 by 2.
Of course, it wouldn't equal so let's just say 6.
So both boys made around 6 resolutions each.
Now we have to take into consideration the 5 more resolutions that Harry made.
What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.
Finally, my resolution ratio came to 4:9
Tim made 4 resolutions and Harry made 9
In conclusion, Harry made 9 resolutions.
Plz mark me brainliest :)
There are 9 resolutions did Harry make.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Harry and Tim both made New Years resolutions.
Harry made 5 more resolutions than Tim.
And, Together they made 13 resolutions.
Now,
Let number of resolution Tim make = x
Then, Number of resolution Harry make = x + 5
Since, Together they made 13 resolutions.
Hence, We get;
⇒ x + (x + 5) = 13
⇒ 2x = 13 - 5
⇒ 2x = 8
⇒ x = 4
Thus, Number of resolution Harry make = x + 5
= 4 + 5
= 9
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
The sum of two integers is 5. Their difference is 11. What are
the two integers?
A) 3 and 14
B) -3 and 8
C)2 and 3
D) -14 and - 3
Answer:a
Step-by-step explanation:
Seven less than three times a number is 14. Find the number.
Side lengths: 24 in, 30 in, and 36 in
Volume of this is 25920 inches cubed
I WILL GIVE BRAINLIEST PLSSS ANSWER
Answer:
C.
Step-by-step explanation:
Alright so basically you want to get the same denominator
3/4 = 6/8
And (6/8)/(1/8) = 6
So it's 6.
Answer:
3:32
Step-by-step explanation:
You multiply the numerators and denominators.
Mrs. Music bought a dress priced at $98.00. If the sales tax is 6%, what is the total amount she paid for the dress?
Answer: $103.88
Step-by-step explanation:
98*0.06=5.88 <--- total tax charged
98+5.88=103.88 <--- add tax to price
1. 5(2x + 1) = 35
I need help what’s the answer showed work
Answer:
x=3
Step-by-step explanation:
5(2x+1)=35
Step 1: Simplify both sides of the equation.
5(2x+1)=35
(5)(2x)+(5)(1)=35(Distribute)
10x+5=35
Step 2: Subtract 5 from both sides.
10x+5−5=35−5
10x=30
Step 3: Divide both sides by 10.
x=3
given the function f(x)=x^2+5,evaluate f(-10)
Answer:105
Step-by-step explanation:
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
will got 17 out of 25 questions correct on his driving test what percent correct did he get on the test?
Answer:
68%
Step-by-step explanation:
[tex]\frac{17}{25} = \frac{68}{100}[/tex] [tex]\frac{68}{100}[/tex] = 68%I hope this helps!
Addy works out with a 2.5 kilogram mass. What is the mass of the 2.5 kilogram mass in grams?
Answer:
The mass of the 2.5 kilograms mass in grams is 2,500 grams.
8h + (-6.7d) - 15+ 4d-2.6h.
Answer:
5.4h-2.7d-15
Step-by-step explanation:
8h minus 6.7d minus 15 plus 4d minus 2.6h
using the knowledge or principle of algebra
5.4h minus 2.7d minus 15
A container has 5 green, 4 yelow and 2 whhite marbles. Carla chooses a marble without looking. Is it the probability that she will select a green marble closest to 0, 1/2 or 1? What is P (white)
Step-by-step explanation:
A container has 5 green, 4 yellow and 2 white marbles.
We need to find the probability of selecting a green marble.
The probability of getting an event is given by :
P(E) = favorable outcomes/no. of outcomes
The probability of getting green marble will be :
[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]
The probability of getting white marble will be :
[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]
Hence, this is the required solution.
A farmer has 28 bushels of apples and can harvest 25 bushels of apples each day. In how many days will he have more than 125 bushels to sell? What inequality represents this situation?
Answer: 4 days, there are already 28 bushels of apples
Step-by-step explanation:
In 4 days because 25 times 4 is 100.
100 + 28 is 128 which is more than 125.
Which inequalities correctly show the relationship between the numbers 13, −4, and −17?
Answer:
13 > -17 < -4
Step-by-step explanation
13 = postive number
-17 and -4 = negtive.
13 is greater than -17
Since negtive is oppistie of postive it goes backwards.
So -4 is greater than -17
(Im new to this so Im not sure if it is correct)
HElP MEh PleZ
A scuba diver descends below the surface of a lake at a rate of 12 feet per minute. What integer represents the depth of the diver after 4 minutes?
Since this scuba diver descends below the surface of a lake at a rate of 12 feet per minute, an integer which represents the depth of the diver after four (4) minutes is 48 feet.
What is the rate of change?The rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the rate of change for the depth covered by this scuba can be calculated by using this formula;
Rate of change = Depth/time
Making depth the subject of formula, we have:
Depth = Rate of change × time
Substituting the given parameters into the formula, we have;
Depth = 12 × 4
Depth = 48 feet.
Read more on rate of change here: brainly.com/question/15648128
#SPJ1
Solve for x
PLS HURRY
Answer:
C.....................m
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
Simplify e⁰. answer it please
What is the equation of a line with slope 4 and passes through point (4,2)?
Answer:
y = 4x - 14
Step-by-step explanation:
Use point-slope form and substitute the values.
y - 2 = 4(x - 4)
y - 2 = 4x - 16
y = 4x - 14
What is the y-intercept of the following equation?
y=-3x - 2
Answer:
(0,−2)
Step-by-step explanation:
y=mx+b , where: m is the slope, and b is the y-intercept. Therefore, the y-intercept is (0,−2).
Answer:
(0,-2)
Step-by-step explanation:
this is the y intercept of the following equation below i hope this helps
at what rate, how long will it take to go 4.5 miles
Step-by-step explanation:
they need a car to drive duhhhhh
Answer:
0.36 hours
Step-by-step explanation:
Divide 4.5 with 12.5 mph.
write the equation of a line that has a m= -5 and passes through the point (-1,4)
write a paragraph describing the steps taken to find the linear equation and include the answer the the question in your response.
at least 6 sentences plz
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
Whats the answer does anyone know
Answer:
I think it's 12.96
Step-by-step explanation:
Answer:
1.8*1.8=3.24
3.24*4= 12.96
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation: