Answers
Answer:
[tex]\approx 12.8[/tex]
Step-by-step explanation:
1. Approach
Assume that this problem is asking for the value of the shaded region.
To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.
2. Area of the circle
The formula to find the area of a circle is the following,
[tex]A=\pi r^2[/tex]
Where ([tex]\pi[/tex]) represents the numerical value, ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.
Substitute in the given values and solve for the area,
[tex]A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938[/tex]
3. Find the fraction that the shaded region takes up
It is given that the arc surrounding the shaded region has a measure of ([tex]30 \degree[/tex]). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are ([tex]360[/tex]) degrees in the full angle, then the fraction of the are is the measure of the arc over ([tex]360[/tex]). Use this to solve for the fraction that the angle takes up,
[tex]\frac{30}{360}[/tex]
Simplify,
[tex]\frac{1}{12}[/tex]
4. Find the area of the shaded region,
Now multiply the fraction that the arc takes up by the total area of the circle,
[tex]49\pi *\frac{1}{12}[/tex]
Multiply,
[tex]\frac{49\pi }{12}[/tex]
Convert to decimal form,
[tex]=12.82817[/tex]
Related Questions
Find the sum of the first 10 terms in this geometric series.
1+3+9+27+...
Answers
Answer:
29524
Step-by-step explanation:
The sum of the first n terms is [tex]S_n=a_1\frac{1-r^n}{1-r}[/tex] where [tex]a_1[/tex] is the first term and r is the common ratio.
For the sequence in this question, [tex]a_1=1,\,r=3[/tex].
[tex]S_10=(1)\frac{1-3^10}{1-3}=\frac{-59048}{-2}=29524[/tex]
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answers
Answer:
The values are 13 and 1
I hope this is correct
Your college tuition is $25,000 and it increases by 6% each year.
Answers
Answer:
Your collage tuition will increase by $1,500 each year.
Step-by-step explanation:
To find the answer we will first turn 6% to a decimal by dividing 6 by 100 and we get 0.06. Now multiply $25,000 by 0.06 and we get $1,500. Therefore the answer is $1,500.
Decrease #2000 by 20%
Answers
Answer:
400
Step-by-step explanation:
2000 divided by 20% is 400
Can someone help me?
Answers
Answer:
+6 dollars
Step-by-step explanation:
Find the new number given the Original number and the percent of change
Answers
Explanation: multiply 120 by the percentage of change which is 0.60 and then you can get the answer
Answer:
72
Step-by-step explanation:
Multiply the original number by 60 and divide it by 100 to find the percent change
120 * 60 / 100 = 72
How many liters are in a gallon and why
Answers
Answer:
There are 4 liters- in a gallon. Why? Well because for a gallon to be completely filled you need 4 liters, nothing less, and nothing more.
Answer: 3
beacuse 1 gallon is=3 liters easy i dont know why but i learn it in 4 grade
7. You have $2 worth of quarters, dimes, and nickels
and you have 12 total coins. How many of each do you
have?
Answers
Answer:
6 quarters, 4 dimes, and 2 nickels
Which graph best represents a function with a domain of all real numbers greater than or
equal to 1 and less than or equal to 2?
Answers
The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y [tex]\geq[/tex] 1 and x + y [tex]\leq[/tex] 2 .
Which function has a domain that includes all real numbers?The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.
How do you plot all real values on a graph?The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.
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In ΔSTU, = 670 inche, u = 630 inche and ∠U=67°. Find all poible value of ∠S, to the nearet degree
Answers
The measure of ∠S is 59.4° for trignometric identities
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
ΔSTU:
s = 50 inches
t = 58 inches
u = 630 inches
Applying the cosines rule on ΔSTU.
s² = t² + u² - 2 x t x u x cos S
cos S = (t² + u² - s²) / 2tu
cos S = (58² + 27² - 50²) / (2 x 58 x 27)
cos S = (3364 + 729 - 2500) / 3132
cos S = 0.5086.
∠S = (0.5086)
∠S = 59.4°
Thus,
∠s angle value is 59.4°.
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Amare is buying museum souvenirs. He buys 3 animal figures
and 6 bookmarks for $33. Later he goes back to buy 3 more
figures and return 3 of the bookmarks, spending another $6.
In the system, fis the price of a figure and b is the price
Al Pisto
of a bookmark.
3f + 6b = 33
3f-3b = 6
How much does each figure cost? How much does each bookmark cost?
Answers
Answer:
Each animal figure cost $2 dollars and each bookmark cost $4.50 dollars
Step-by-step explanation:
I got this answer is because second part of the question it says "Later he goes back to buy 3 more figures and return 3 of the bookmark spending another $6". The information this gives us is that since he bought nothing but animal figures and bought 3 animal figures and spent $6 dollars that tells us that each animal figure cost $2 dollar knowing this we can figure out the first part since in the first part he spent $33 dollars in total and bought 3 animal figures and 6 bookmarks and we know each animal figure cost $2 dollars we know in total he spent $6 dollar on animal figures and he spent $27 dollar on bookmarks doing division 27 divided by the number of bookmarks he bought we figure out the cost of one bookmark so doing this the answer is one animal figure is $2 dollars and one bookmark is $4.50.
I hope this help this is less of a math problem and more of a logic one this took me a while of rereading to figure out!
Give me a thanks.
The cost to hire a tent consists of two parts. $c + $d per dayThe total cost for 4 days is $27. 10 and for 7 days is $34. 30. Write down two equations in c and d and solve them
Answers
The cost to hire a tent consists of a fixed cost of $17.50 and a variable cost of $2.40 per day.
Let's call the total cost of hiring a tent for 4 days as T4, and the total cost of hiring a tent for 7 days as T7.
The first equation is the cost for 4 days:
T4 = c + 4d
The second equation is the cost for 7 days:
T7 = c + 7d
We know the values of T4 and T7 from the problem statement:
T4 = $27.10 and T7 = $34.30
We can now use these two equations and their corresponding values to solve for c and d:
Substitute the value of T4 into the first equation:
$27.10 = c + 4d
Substitute the value of T7 into the second equation:
$34.30 = c + 7d
Now we have a system of two equations with two variables (c and d).
Subtract 4d from both sides of the first equation:
$27.10 - 4d = c
Subtract c from both sides of the second equation:
$34.30 - c = 7d
Now we can substitute the value from step 4 into step 5:
$34.30 - $27.10 + 4d = 7d
7d = $34.30 - $27.10 + 4d
3d = $7.20
d = $7.20 / 3 = $2.40
Now we have the value of d, we can substitute it back into the first equation to find the value of c:
$27.10 = c + 4d
$27.10 = c + 4($2.40)
$27.10 = c + $9.60
c = $27.10 - $9.60
c = $17.50
Therefore, c= $17.50 and d= $2.40
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PLEASE ANSWER ASAP!
The question is on the screenshot
Answers
Answer:
A
Step-by-step explanation:
Cross multiply
2x8 over 3x6
Answer:
B. i beleive
Step-by-step explanation:
please help me I only have 2 minutes left winner gets brainliest when did Qin Shi Huang become ruler
Answers
Answer: 221 B.C
Step-by-step explanation:
Answer:
221 B.C.
Step-by-step explanation:
The state of Qin, based in the Sichuan plains, eventually won out in 221 B.C. under the leadership of the ruthless King Zheng. The victorious monarch gave himself the title Qin Shi Huangdi (259–210 B.C.), First Qin Emperor.Jun 3, 2019
50 points!!! and BRAINLIEST IF CORRECT
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:
Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.
Answers
Answer: account b
Step-by-step explanation:
account A will give 92 thousand dollars
account B will give 100 thousand dollars
I put it in a table
Answer:
SEE ANSWER BELOW
Step-by-step explanation:
A. (formula A=P(1+r/n)^nt
P=50,000(1+.08/1)^nt
P=50,000(1+.08)^nt
P=50,000(1.08)^nt
P=50,000 • 1.85
P=92,546.5
B. (formula A=Pe^rt
P=50,000e7 • 10
P=50,000 • 7
P=50,00 •2 .013
P=100689.64
B saves more
HELP PLEASE PLEASE!!!!!!!!
Answers
Answer:
The measure of the third angle is equal to 34°
Step-by-step explanation:
Given that,
The measure of angle 1 is 50°.
The measure of angle 2 is 96°
We need to find the measure of the third angle. We know that the sum of angles of a triangle is equal to 180°. So,
x+50+96=180
x+146=180
x = 180-146
x = 34°
So, the measure of the third angle is equal to 34°.
A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter
Answers
Answer:
y=4x+12
Step-by-step explanation:
if a line is parallel to another they have the same slope ,,
y=mx+c
where m represents the slope
and c represents the intercepted part of y axis
so the slope equals 4 from y=4x+11
to find the intercepted part c ,, substitute by the given point in the equation y=mx+c
(-2,4),, and slope is 4
4= 4×-2+c
4= -8+c
c= 12
so the equation is
y=4x+12
Answer:
y =4x-18
Step-by-step explanation:
y +2 = 4(x - 4)
y +2 =4x-16
y = 4x-18
Simplify
(12 – 3) + 15+5 (-2)
Answers
Answer:
14
Step-by-step explanation:
The multiplication must be done before the addition and subtraction.
(12 – 3) + 15+5 (-2)
becomes (9) + 15 + 5(-2), which in turn becomes
(9) + 15 - 10, or 14
what’s the perimeter of a rectangle that’s
6m
6m
9m
9m
Answers
Answer:
30
Step-by-step explanation:
perimeter is the outside of a shape so just add them all together honestly
Need answer quick 65 points and brainlyest
Graph using this picture
y+4=25(x−3)
Answers
The linear function y = 25x - 79 is plotted on a graph with x - intercept at 3.16
What is Graph of Linear FunctionA graph of a linear function is a line that goes through the origin (0, 0). The line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line can be positive, negative, zero, or undefined.
In this problem, the linear function given y + 4 = 25(x - 3) can be written in slope - intercept form and then plotted in a graph using a graphical calculator.
y + 4 = 25(x - 3), the linear function can written;
y + 4 = 25(x - 3) = y + 4 = 25x - 75 ;
This becomes y = 25x - 75 - 4;
Collecting like terms
y = 25x - 79
Plotting this on a graph;
The line passes through the x - axis at 3.16 which is the x - intercept
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Please answer question plz!!!!!
Answers
Answer:
V = 214.32
Step-by-step explanation:
Remark
You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.
Formula
V = (h1 - h2)* Base
Givens
h1 = 32.9
h2 = 29.1
Base = 56.4
Solution
V = 56.4 ( 32.9 - 29.2)
V = 56.4 * 3.8
V = 214.32
another oneeee T-T please help
Answers
Answer:
d=90* e=54* f=126*
Step-by-step explanation:
plz crown
Answer:
d = 90
e = 54
f = 126
Step-by-step explanation:
Have a nice day!
Can someone please help me with math.
Answers
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
[tex](9)^2 +(12)^2 = (c)^2[/tex]
Simplify,
[tex]81+144=c^2\\\\225=c^2[/tex]
Inverse operations,
c = 15
Helen told her mom she got 85% on a recent math test. She remembered the test was out of 60. What was her actual mark? *
Answers
Answer: 85% out of how many questions.
Step-by-step explanation:
- What is the domain of the function
f(x) = x2 - 6x +1?
Answers
Answer:
(-infinity, +infinity)
Step-by-step explanation:
I need help please, question in photo
Answers
Answer:
A. and F. and B.
:)
Index form of 2m⁴-3m²+7
Answers
Answer:
2m⁴ +0m³ -3m² +0m +7
Step-by-step explanation:
You want the index form of 2m⁴-3m²+7.
Index formThe index form of a polynomial has terms with all indices present in decreasing order, using 0 coefficients where necessary.
The given polynomial is missing indices 3 and 1, so we add those with coefficients of 0:
2m⁴ +0m³ -3m² +0m +7
Find the value a1
for an arithmetic sequence if the sum of 9 terms is 45 and the last term is 6
A. 4
B. 2
C. 1/4
D. 1/2
Answers
Please help:( if anyone is good at algebra, assist me in this tragic time
Answers
Step-by-step explanation:
x -2 -1 2 7
y -6 -6 -2 3
All y are in under root
Does 4 8 10 make a right triangle?
Answers
No, 4, 8 and 10 cannot be the sides of a right triangle. So 4, 8 and 10 does not make a right triangle.
In a right triangle, the side opposite the right angle (the hypotenuse) is the longest side. The side opposite the 90-degree angle is the hypotenuse and it follows the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the legs, so:
c² = a² + b²
In this case, c = 10, a = 8 and b = 4,
so 8² + 4² = 64 + 16 = 80 ≠ 10²
That is it does not follows the theorem. Therefore, 4, 8 and 10 cannot be the sides of a right triangle.
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