Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
what's the ratio for 3 stars and 7 circles
Answer: 3:7
Step-by-step explanation:
There are 3 stars for every 7 circles, thus the ratio is 3:7.
Answer:
3 : 7.
Step-by-step explanation:
For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.
This is what it would look like: 3 : 7
With ratios, you could also write,
3 to 7
or
3 / 7
But 3 : 7 is most common :)
Onii-Chan help me whit 5-8
Question 1 (3 points)
(6.03)
Which expression shows a sum of three terms? (3 points)
O a
x3
3 + x + 3
Ob
ос
3x
Od
3(x + 3)
Answer:
more context please:)
Step-by-step explanation:
Answer:
3 + x + 3
Step-by-step explanation:
Hope it helps!
Find the gradient of the line segment between the points (1,-2) and (-2,10).
Given:
A line segment is between the points (1,-2) and (-2,10).
To find:
The gradient of the given line segment.
Solution:
We know that gradient of the given line segment means slope of the line segment.
The line segment between the points (1,-2) and (-2,10). So, slope of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]
[tex]m=\dfrac{10+2}{-3}[/tex]
[tex]m=\dfrac{12}{-3}[/tex]
[tex]m=-4[/tex]
Therefore, the gradient of the given line segment is -4.
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]I need number 7 and 8 answered
The sum of the interior of the triangle equal 180
Answer:
Angle5=angle1Angle6=angle3angle1+angle2+angle3 = 180° (Angle on a. straight line)angle2+angle5+angle6 = 180° (ASP)what is one-fourth of 24
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
Answer:
6...? I don't know why you are doing first grade math again...
Step-by-step explanation:
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
PLease ANSER ASASP!!!!!!!!!!!!
Sovle the problem
7 ( x + 4 ) = -21
what is x?
Answer:
X = -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answer:
6/9 miles
Step-by-step explanation:
Find one pair of prime numbers whose product is an even number.
Answer:
I think it's 1 and two for example 2 times 7 is 14
Step-by-step explanation:
Answer:
2 and 3.
Step-by-step explanation:
To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.
There is only one even prime number- 2.
Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.
2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.
What is the rate of change And initial value for the linear relationship that includes the points shown in the table
Answer:
Multiply them and then add them altogether
so
Step-by-step explanation:
2x3=6
4x5=20
6x7=42
8x9=72
6+20+42+72= 140
6+20=26
26+42=68
68+72= 140
Pls help I’ll brainlest
Answer:
-2.1y + 12.9
Step-by-step explanation:
Answer:
12.9-2.1y
Step-by-step explanation:
Use the distributive property to multiply −0.5 by 12y−9.
8.4+3.9y−6y+4.5
Combine 3.9y and −6y to get −2.1y.
8.4−2.1y+4.5
Add 8.4 and 4.5 to get 12.9.
12.9−2.1y
Please answer will give brainliest to the best answer please make sure to explain!
Joshua finished the mile race in 22.7 minutes. Blake finished the race 8 3/10 minutes sooner than Joshua finished it. How many minutes did it take Blake to finish the race?
Answer:
31 mins
Step-by-step explanation:
22.7+8 3/10=31 mins
HELP ILL MARK U AS BRaiNLIEST
Answer:
2
Step-by-step explanation:
I am super confused
.....................
Answer:
B is the answer
Step-by-step explanation:
The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings
are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and
anchovies.
How many ways can you arrange 3 toppings out of 10 toppings on a pizza?
Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
Leave a like if it helped you, please
Round 4.24 to the nearest tenth.
4
4.3
4.2
5
Answer:
4.2
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
........................
Find the value of x.
B
92
A
1019
68
D
X=
Answer:
Step-by-step explanation:
- 5/6e (the fraction) - 2/3e (the fraction)=-24
Answer:
I believe this is the correct answer. e = 16
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Approximately how wide is the new television? show work
Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
Can someone help me find the perimeter of this
Answer:
Perimeter is 60.4 + 4x
Step-by-step explanation:
12.2 + 12.2 + 4(x+9)
= 24.4 + 4x + 36
= 60.4 + 4x
Answer:
2/5 • (151 + 10x )
Step-by-step explanation:
(This is going to be a long one so i apologize in advance)
First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:
12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9
61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9
122/5 + 4x + 36
2/5 • (61 + 5 • 2x + 5 • 18)
2/5 • (61 + 10x + 90)
2/5 • (151 + 10x )
Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?
Answer:
1/3
Step-by-step explanation:
4/3=1 1/3
1 2/3 - 1 1/3= 1/3
Hope this helps!
What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11
Answer:
21 because I serch it up I believe
The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?
Answer:
P = 14.5+4x
Step-by-step explanation:
Let the width of the room is x.
Length = 7.25 feet longer than the width = 7.25 +x
We need to find an expression the represents the perimeter of the room.
Perimeter = sum of all sides
P = 2(l+b)
l is length and b is width
P = 2(7.25 +x+x)
=2(7.25 +2x)
=14.5+4x
Hence, the required expression for the perimeter is 14.5+4x.
how many 1/3's are in 3
Answer:
9
Step-by-step explanation:
1/3 times9=3
Solve 3x − 5y = 17
9x − 15y = −4
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.