Answer:
[tex]l(\widehat {ST})=6\pi [/tex]
Step-by-step explanation:
Radius (r)= RS = 12 (Given)[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)To find: [tex]l(\widehat {ST})[/tex]Formula for finding the length of arc is given as:[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex][tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex][tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex][tex]l(\widehat {ST})=6\pi [/tex]The required length of an arc ST is 6π units which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the question, we have:
θ = 90° and r = 12 units
Substitute the given values in the formula,
Arc length = 2π(12) (90/360)
Arc length = 6π
Therefore, the required length of an arc ST is 6π units.
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which is closer to 12? 11.96 or 12.0321
Answer:The answer is 12.0321
Step-by-step explanation:
Find the area of the kite
Answer:
180
Step-by-step explanation:
(10×11)+(10×7)=110+70
The area of the kite is expressed as 1/2 × (Product of its diagonals)
In this case, we have;
Diagonal₁ - 10 + 10 feet = 20 feetDiagonal₂ - 7 + 11 feet = 18 feetTherefore, when we substitute the diagonals in the formula, we get;
⇒ 1/2 × (Product of its diagonals)⇒ 1/2 × (20 × 18)When simplified, we get;
⇒ 1/2 × (20 × 18)⇒ 1/2 × (360)⇒ 360/2 = 180 ft²Therefore, the area of the kite is 180 ft².
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3/4 to decimal what the answer
Answer:
0.75
Step-by-step explanation:
4/4=1
3/4=0.75
2/4=1/2=0.5
1/4=0.25
what is the area of a cylinder
A cylinder's volume is =
π r² h,
and its surface area is =
2π r h + 2π r².
Luca shows his work in finding the solution to 2−6=5−5(−1)
. After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?
what are the dimensions for matrix c
Because matrix A has 3 rows, and matrix B has 2 columns, matrix C will be a 3x2 matrix. 3 rows, 2 columns.
Answer:
it is c I hope this helps you.
Which of the following inequalities matches the graph?
Answer:
6x - y < -3
Step-by-step explanation:
When graphing inequalities:
< or > = dashed line
≤ or ≥ = solid line
< or ≤ = shade below the line
> or ≥ = shade above the line
Create an equation for the line
Choose 2 points on the line:
let (x₁, y₁) = (-1, -3)let (x₂, y₂) = (0, 3)Calculate the slope:
[tex]\sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-3)}{0-(-1)}=6[/tex]
Determine the equation for the line using the point-slope formula:
[tex]\implies\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-(-3)=6(x-(-1))[/tex]
[tex]\implies \sf y+3=6(x+1)[/tex]
[tex]\implies \sf y=6x+3[/tex]
As the shading is above the line:
⇒ y > 6x + 3
Compare with answer options
Rearrange each answer option to make y the subject:
Option (a)
-6x + y < 3
⇒ y < 6x + 3
Option (b)
6x + y < 3
⇒ y < -6x + 3
Option (c)
6x - y < -3
⇒ -y < -6x - 3
⇒ y > 6x + 3
Therefore, as option C matches the calculated inequality, the answer is
6x - y < -3
Answer:
6x - y < 3
Step-by-step explanation:
Finding the equation of the inequality :
Slope :
⇒ m = 3 - (-3) / 0 - (-1)
⇒ m = 6/1
⇒ m = 6
Y-intercept :
⇒ (0, 3)
Equation :
⇒ y = 6x + 3
Here :
⇒ Above the origin, so it is greater than ( > )
⇒ y > 6x + 3
⇒ 6x - y < 3
Four friends are playing the board game Hidden Treasure. The game begins with 40 coins
divided evenly among the four players. Each player keeps 2 of their coins on the table and
keeps the rest of the coins inside their bag.
Let b equal the number of coins in each bag.
Which equation represents the total number
of coins the four players have?
4(b+2)=40
4b=40
b+2=49
4b+2=40
Answer:
I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32
Lisa
and penny are guests at a beachside hotel. lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. when shi
looks up at an angle of 54.5 degrees, she can see her sister penny waving to her from the hotel window.
draw a scale representation of the triangle that models the situation and can be solved to find the stralght-line distance between penny
and lisa. round calculations to the nearest foot. each unit on the grid represents five feet.
drawing tools
click on a tool to begin drawing.
& delete
undo
0 reset
select
point
line segment
The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Let's suppose the distance between the Lisa and Penny is x feet.
We can draw a right-angle triangle for this situation.
As we can see in the right angle triangle.
tan54.5 = x/50 (from the right-angle triangle)
x = 50tan54.5
x = 70.09 ≈ 70.1 feet
Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
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help would be greatly appreciated!
Answer:
D the answer is D, thats when cos and sin are equal together
What is a simpler form of the expression?
(4k + 5)(3k^2 - 4k - 4)
Answer:
[tex]12k^3 -k^2-36k-20[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](4k + 5)(3k^2 - 4k - 4)[/tex]
[tex](4k * 3k^2)+(4k*-4k)+(4k*-4)+(5*3k^2)+(5*-4k)+(5*-4)[/tex]
[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]
Step 2: Combine like terms
[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]
[tex]12k^3 -k^2-36k-20[/tex]
Answer: [tex]12k^3 -k^2-36k-20[/tex]
Its a math problem Please help me !!! For the data sets below, which of the following statements is FALSE?
Answer:
fist bubble i am pretty sure
Step-by-step explanation:
explain the steps
for solving the following.
3√3+4√3
Answer:
[tex]7 \sqrt{3} [/tex]
Step-by-step explanation:
Simply combine like radicals:
[tex]3 \sqrt{3} + 4 \sqrt{3} = 7 \sqrt{3} [/tex]
1. You and your friends receive a lunch bill for $22.50 before tax is included. The sales tax in your state
is 8%. What is the total cost when the tax is included?
Answer:
$24.30
Step-by-step explanation:
8% of 22.50 = $1.8
$22.50 + $1.8 = $24.30
Give brainliest, please!
Hope this helps :)
please help thanks :)
The equation of line A and line B will be y =4 and x = 8, respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
We know the equation of the line parallel to the x-axis.
y = c
The equation of line A will be
y = 4
We know the equation of the line parallel to the y-axis.
x = c
The equation of line B will be
x = 8
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The price of a box of colored pencils increased from $8.00 to $8.48. What was the percent increase in the price?
Step-by-step explanation:
100% = $8.00
1% = 100%/100 = 8/100 = $0.08
the price went up by $8.48 - $8.00 = $0.48.
how many % is this ?
as many % as 1% fits into this difference :
0.48 / 0.08 = 6%
the price increase was 6%.
buffy's beverages has increasing profits each week during the hot summer months. Buffy finds that each week his profits increase by 20% over what they were the previous week. In his first week of business his profits were $200
The exponential function that gives the profit after x weeks is given by:
[tex]P(x) = 200(1.2)^x[/tex].
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
Buffy finds that each week his profits increase by 20% over what they were the previous week, hence r = 0.2.In his first week of business his profits were $200, hence A(0) = 200.Thus, the equation is given by:
[tex]A(x) = 200(1 + 0.2)^x[/tex]
[tex]A(x) = 200(1.2)^x[/tex]
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A campaign manager is creating campaign signs that advertise his political candidate. The campaign manager would like to maximize the surface area of the signs so that passersby have the greatest chance of seeing them. In keeping with local campaign laws, the campaign signs must have a perimeter of 160 inches. Explain how the campaign manger can find the width and height of the signs that maximize area. Round your values to the nearest tenth of a square inch.
Will mark brainliest please help!!
So if length be L and width be B
We know
Perimeter
2(L+B)So if he wants to create a rectangle advertisement
2(L+B)=160L+B=80The sum of length and breadth must be 80
If it's square
4S=160S=40inIt should have side as 40in
Calculate the length of a diagonal of a square with side each 7cm long
Answer:
[tex]7\sqrt{2} \ cm[/tex]
Step-by-step explanation:
Formula ………………………………………………
The length of a diagonal of a square with side of length “a” is :
[tex]a\sqrt{2}[/tex]
======================================================
Since a = 7 (in our case) then
[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]
Note : you can also use the Pythagorean theorem.
What is the product? 2/3×1/5
Answer:
0.13
Step-by-step explanation:
2/3×1/5 = 0.13
Last year, the number of skateboards produced by a skateboard company is normally distributed. The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year. Use this information to find the average number of skateboards produced per day last year.
The average number of skateboards produced per day last year is 310.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.
Z- score at 93.32% is -1.5
We know:
[tex]\rm Z = \dfrac{(x - \mu)}{\sigma}[/tex]
[tex]\rm -1.5 = \dfrac{(280 - \mu)}{20}[/tex]
μ = 280 + 30
μ = 310
Thus, the average number of skateboards produced per day last year is 310.
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Write in the slope-intercept form an equation of the line that passes the given point
1 (0,1) , (2,4)
2 (-3,1) , (0,4)
Please show work :) for brainliest
Answer:
1) y = 1.5x + 1
2) y = x + 4
Explanation:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
1)[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]
Equation:
[tex]\sf y - y_1 = m(x-x_1)[/tex]
[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]
[tex]\sf \rightarrow y = 1.5x + 1[/tex]
2)[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]
Equation:
[tex]\sf y - y_1 = m(x-x_1)[/tex]
[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]
[tex]\rigtharrow \sf y = x + 4[/tex]
A special-edition model of a smart watch is sold in gold, green, blue, or red. ernie's electronics sold 234 of these smart watches last week. they sold twice as many red watches as gold watches. they sold 3 times as many green watches as gold watches. they sold the same number of blue watches as green watches. how many green smart watches did the store sell last week?
The number of green watches that were sold is 78
How to determine the number of green watches?The given parameters are:
Total =234Red = 2 * GoldGreen = 3* GoldBlue = GreenThe number of watches can be represented as
Gold + Green + Blue + Red = 234
Substitute Blue = Green
Gold + Green + Green + Red = 234
Gold + 2 * Green + Red = 234
Substitute Red = 2 * Gold
Gold + 2 * Green + 2 * Gold = 234
Evaluate the like terms
2 * Green + 3 * Gold = 234
Make Gold the subject in Green = 3* Gold
Gold = Green/3
Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234
2 * Green + 3 * Green/3 = 234
Evaluate the product
2 * Green + Green = 234
Evaluate the sum
3 * Green = 234
Divide both sides by 3
Green = 78
Hence, The number of green watches that were sold is 78
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simplify 3^-6*(3^4/3^0)^2
Answer:
Thhe simplified form of the expression is 9
Indices are expressed as power or exponent which is raised to a number or a variable.
According to the law of indices
\begin{gathered}a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\end{gathered}
a
n
×a
m
=a
n+m
a
n
÷a
m
=a
n−m
Given the expression
3^{-6} \times (\dfrac{3^4}{3^0} )^23
−6
×(
3
0
3
4
)
2
This can also be expressed as:
\begin{gathered}=\dfrac{1}{3^6} \times (\frac{3^4}{1})^2 \ (3^0 =1)\\= \dfrac{1}{3^6} \times 3^8\\=\dfrac{3^8}{3^6}\\=3^{8-6}\\=3^2\\=9\\\end{gathered}
=
3
6
1
×(
1
3
4
)
2
(3
0
=1)
=
3
6
1
×3
8
=
3
6
3
8
=3
8−6
=3
2
=9
This shows that the simplified form of the expression is 9
question 4. evaluate the expression [tex]-6^3[/tex]
Answer:
The answer would be ~30~ because 2*2^3 = 2^4= 16 then 3*6=18 then 16+18-4=30
Hope this helps
Have a great day/night
Answer ~
whenever we see an expression in the form of [tex]x^{n}[/tex] we have to multiply x to itself " n " times !
here in the question ,
we're given with the expression ( - 6³ )
so ,
[tex] - 6 {}^{3} = - 6 \times - 6 \times - 6 \\ \dashrightarrow \: - 216[/tex]
hope helpful ~
What does the correlation coefficient of a function tell us about the model?
Answer:
the correlation coefficients is a statistical calculation
that used to examine the relationships between two sets of data.
Step-by-step explanation Hope this helps :)
Determine the equation for the line of best fit to represent the data.
Answer:
d
Step-by-step explanation:
Labor supply and demand are market forces that, ignoring all other factors, determine the equilibrium wage. In the real world, other factors, including government regulations, can play a part in setting wage levels for a given occupation. Describe a government regulation that may affect wage levels. Explain your thinking.
50! POINTS
Federal agencies have the power to enforce those laws through regulation. State lawmakers, in turn, make laws that typically supplement federal legislation. State government regulation examples include setting a higher minimum wage than the federal requirement
Adding extra tax for Imported goods rather than Built in country goods
Look at a situation
In south east Asia ,Tesla is tryiny to import cars from foreign and trying to sell thereBut the tax is about 90% .So it's unfair and not possible for occupationEnvision Math 4th grade topic 16-1
Noah bowled 3 games for his bowling team. in the second game, he scored 10 points more than in the first game; in the third game, he scored 10 points more than in the second game. his average score was 230 points for the 3 games. how many points did noah score in the third game?
Answer:
240 points game 3
Step-by-step explanation:
use what is given and put everything in variable terms since this asks for the average, you have to divide by the number of games in the end