Answers
Answer:
Option (4)
Step-by-step explanation:
m(∠PZR) = [tex]\frac{2}{3}\pi[/tex]
Radius of the circle = 8
Since, length of an arc = [tex]\frac{\theta}{2\pi }(2\pi r)[/tex]
Here, θ = Central angle in radians
From the given formula,
m(arc PR) = [tex]\frac{\frac{2}{3}\pi}{2\pi }(2\pi \times 8)[/tex]
= [tex]\frac{2}{6}(16\pi )[/tex]
= [tex]\frac{16}{3}\pi[/tex]
Therefore, Option (4) will be the correct option.
Related Questions
In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.
Answers
Answer:
y = 12 + 2x
Step-by-step explanation:
Given that :
Let number of butterflies = y
Number of moths = x
y = 12 more than twice the number of moths
y = 12 + 2x
Hence, the expression which relates the number of butterflies he has is :
y = 12 + 2x
the bag of mass is 1.5kg what is the mass of bag in grams
Answers
Answer:
the mass of the bag in grams is 1500
Answer:1500
Step-by-step explanation: Have a good day
sovle????
10x + 15 =
Answers
Answer:
x=3
Step-by-step explanation:
10x - 15 = 15
10x = 15 + 15
10x = 30 (divide both sides by 10 to get x)
10x/10 = 30/10
x = 3
Solution:
-Group like terms on one side of the equal sign and once they cross the equal sign,the polarity changes
10x= - 15
- divide both sides by the number that x is carrying
10x/10 = -15/10
X= - 1.5
For an acute angle 8, the equation sin(O) = cos(6)
is true. What is the value of 0?
Answers
Answer:
heres your answer
Step-by-step explanation:
Please help i will give brainleist and 25 points please dont play please
Complementary Angles are two angles that add up to 90 degrees. If ∠1=30 then ∠2=60 because 90-30=60.
Find the missing angle that makes them complementary. ∠3=50 so ∠4=
∠5=25 so ∠6=
∠7=80 so ∠8=
Answers
Step-by-step explanation:
1)90-50= 40°
2)90-25= 65°
3)90-80=10°
The flag has been rotated clockwise 122°. Consider this single transformation to be a composition of reflections over two intersecting lines.
The measure of the angle between the two intersecting lines is
A degrees
Answers
Answer is in the file below
tinyurl.com/wtjfavyw
What is the solution to the equation 38.18 + x = 82.06? A. 44.88 B. 43.88 C. 56.12 D. 44.12
Answers
Answer:
A
Step-by-step explanation:
Simplify both sides x+38.18=82.06
subtract 38.18 from both sides
x+38.18-38.18=82.06-38.08
x=43.88
find the slope of the line through each pair of points
(3,-2),(-13,-8)
Answers
please help (no links)
Answers
Answer:
EZ Excavation: y = 24.5x
Happy Hauling Service: y = 25x
Step-by-step explanation:
✔️Equation for EZ Excavation:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using any given pair of values from the table, say, (8, 196),
k = 196/8
k = 24.5
To write the equation, substitute k = 24.5 into y = kx
Thus:
y = 24.5x
✔️Equation for Happy Hauling Service:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using the coordinate of any point on the line, say (1, 25),
k = 25/1
k = 25
To write the equation, substitute k = 25 into y = kx
Thus:
y = 25x
write the equation of the line in slope intercept form given a table
Answers
Answer:
y=3x+1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the formula for slope (m) is given as (y2-y1)/(x2-x1)
we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)
label the points:
x1=2
y1=7
x2=3
y2=10
now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(10-7)/(3-2)
m=3/1
m=3
the slope of the line is 3
here's our equation so far:
y=3x+b
now we need to find b (y intercept)
because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b
Let's take (2,7) though since it's the first point
substitute 2 as x and 7 as y in the equation
7=3(2)+b
7=6+b
1=b
so our equation is y=3x+1
Hope this helps! :)
Find the 60th term of the arithmetic sequence -27, -24, -21
Answers
The 60th term would be 150.
If a triangle has a leg with a length of 6 units and a hypotenuse with a length of 10 units, find the length of the other leg.
Answers
Answer: 8 units
Step-by-step explanation:
This can be solved using the Pythagorean Theorem:
c² = a² + b²
c is the hypotenuse
a and b are the sides
Solving for the length:
10² = 6² + b²
100 = 36 + b²
b² = 100 - 36
b² = 64
b = √64
b = 8 units
The missing side is 8 units.
Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?
Answers
Answer:
Nope. Does not satisfy pythagoras theorem
Step-by-step explanation:
72 squared does nit equal 45 squared plus 56 squared
20 POINTSS PLEASE HELP
Answers
Answer:
14 units
Step-by-step explanation:
Write the exponential expression
26 squared
Answers
Answer:
26²
Step-by-step explanation:
26 x 26 = 676
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
Answers
Answer:
d
Step-by-step explanation:
A. g(x) = (- x)2 + 4
O B. g(x) = – x2 - 4
O c. g(x) = (- x)2 - 4
O D. g(x) = – x2 + 4
Answers
х
NK
a
1
2
3
у
2
4.
8
16
Is the table linear, exponential, Quadratic, or not a
function at all?
Answers
Answer:
Is Linear
Step-by-step explanation:
Because The number said that
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Answers
Answer:
62 feet
Step-by-step explanation:
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Step 1
We convert 20 yards to feet
1 yard = 3 feet
20 yards = x feet
Cross Multiply
1 yard × x feet = 20 yards × 3 feet
x feet = 20 yards × 3 feet/1 yard
x feet = 60 feet
Step 2
How many feet from the goal line is the football?
This is calculated as:
20 yards 2 feet =
60 feet + 2 feet = 62 feet
Therefore, the football is 62 feet from the goal line
Solve for x please. :)
Answers
Answer:
180-130=50
Step-by-step explanation:
done hope you like it
i use the 180 because its a straight line from the x to the 130
sin(20)=x/670 ????????
Answers
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices
Answers
Which quadratic function in vertex form has a vertex at (−5 , −4) and passes through the point (−2 , −1)?
y=−13(x+5)^2−4
y=−13(x−5)^2+4
y=13(x−5)^2−4
y=13(x+5)^2−4
Answers
Answer:
y = 1/3(x + 5)^2 - 4
Step-by-step explanation:
The general vertex form is;
y = a(x-h)^2 + k
From the question, (h,k) are the coordinates of the vertex which is (-5,-4)
So we have
y = a(x + 5)^2 -4
So we need to get the leading coefficient
Simply substitute the point it passes through
x = -2 and y = -1
-1 = a(-2 + 5)^2 - 4
-1 = a(3)^2 -4
-1 = 9a -4
9a = 4-1
9a = 3
a = 3/9
a = 1/3
So the equation is;
y = 1/3(x + 5)^2 - 4
Mr Jack thinks that ⅘ is equivalent to 9/10 because 4+5=9 and 5+5=10 Explain what was incorrect about this. Please use the terms numerator and denominator in your explanation, below.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{4}{5} = \frac{9}{10}[/tex] --- Jack's thought
Because:
[tex]\frac{4+5}{5+5} = \frac{9}{10}[/tex]
Jack's thought is incorrect.
This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.
Take for instance, the common term is: 2
The fraction becomes:
[tex]\frac{4 * 2}{5 * 2} = \frac{8}{10}[/tex]
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answers
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
I’m so confused help pls
Answers
Step-by-step explanation:
A: n(n+1) = 72
B
n^2 + n = 72
n^2 + n -72 =0
(n+9)(n-8) = 0
adult tickets cost 1.25
Child tickets cost 0.75p
you sell 80 tickets for 7500p
How many are adult tickets and how many are child tickets
Answers
Naturally, the number of child tickets you sold would be 80-x.
1.25x + 0.75(80-x) = 75
1.25x + 60 - 0.75x = 75
0.5 x = 15
x = 30
adult tickets = 30
child tickets = 80-30 = 50
Is 7 a solution for the equation 3(x + 4)= 2x - (-2x)?
Answers
Step-by-step explanation:
3x+12=2x+2x
3x+12=4x
3x-4x=-12
-x=-12
x=12
Answer:
no, the answer is x = 12
Step-by-step explanation:
3(x + 4)= 2x - (-2x)
3(x + 4)= 2x + 2x
3x + 12 - 12 = 4x - 12
3x - 4x = 4x - 12 - 4x
-x = -12
x = 12
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answers
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
you now have two congruent right triangles with 7ft and 12ft long legs
Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)
7^2 + 12^2 = c^2
49 + 144 = c^2
c^2 = 193
Square root both sides to get rid of the ^2
c = 13.9 ft
Betsy borrowed $525 for a new foot stool. She made 6 monthly payments to repay the loan. She paid $35 interest. What is her simple interest rate?
35%
13.3%
6.7%
40%
20%
Answers
The simple interest rate of the loan is 13.3%.
What is simple interest rate?A simple interest rate is a type of rate that is paid only on the amount borrowed and not on both the amount borrowed and the interest already accrued as it is in a compound interest.
Simple interest rate = interest / (time x principal)
$35 / (6/12 x 525)
= 13.3%
To learn more about interest, please check: https://brainly.com/question/26164549