Find the area of each shaded sector. Round to the hundredths place
10. SR = 26m
Answers
Check the picture below.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]
Related Questions
What’s the volume of the rectangular prism ?
Answers
Hey there!
Option answer: [tex]12 \frac{1}{4} \: cubic \: inches[/tex]
volume of cuboid: length * breadth * height {formula}
=> [tex](3 \frac{1}{2} )[/tex]× (2) × [tex](1 \frac{3}{4} )[/tex]
=> [tex] \frac{7}{2} \times 2 \times \frac{7}{4} [/tex]
=> [tex] \frac{49}{4} inches[/tex]
=> [tex]12 \frac{1}{4} \: cubic \: inches[/tex]
name the polygon below.
Answers
Answer:
Parallelogram
Step-by-step explanation:
Since the opposite sides are parallel in the given polygon, it is parallelogram.
Please help!!!! Will mark the brainliest!!!!
Answers
To get x the lines on the sides of the triangle mean the three sides are congruent. The angle across from that side are equal. So that makes all three angles equal. In every angle it’s 9x-3 so you add that together and you get 27x-9. All triangles equal 180 so do 27x-9=180 add 9 to both sides,
+9 +9 and you get 189
27x=189 Divide by 27
27x/27=189/27
x=7
A premedical student at a university was complaining that she had just paid $158. 60 for her human anatomy book, including tax. Find the price of the book before taxes if the university tax rate is 9%
Answers
Answer:
145.50
Step-by-step explanation:
158.60 / (1+.09)
158.60 / 1.09 = 145.50458 (Approximately, I assume you have to round. I included extra digits incase they want more.)
which numbers are rational?
Answers
Answer:
the asnwers are B,C, and E
Step-by-step explanation:
4/3=1.3333333... it keeps repeating so it cannot be rational. Same problem with 19/9 (equials 2.111111...)
pi is a number that never ends therefore it is not rational.
Given the figure below, find the values of x and z.
(7x + 61)
(15x – 35)
Х
Z
Answers
Answer: Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.
Step-by-step explanation:
The vertical height in feet of a projectile on a planet in our solar system at a given time t in seconds is represented by the function h (t) = -4^2 + 24t Re-write h(t) in the form h(t) = a(t – h)^2 + k and determine the maximum height of the projectile. Show all work.
Answers
h (t) = -4t^2 + 24t = -4 (t² - 6t)
= -4 [(t - 3)² - 3²]
= -4 (t - 3)² + 36
max (3 ; 36)
(t - 3)² = t² - 2*t*3 + 3² = t² - 6t + 9
so it's why t² - 6t = (t - 3)² - 9
The maximum height of the projectile is 36 feet.
It is given that the projectile on a planet in our solar system at a given time t in seconds is represented by the function:
[tex]\rm h(t) = -4t^2+24t[/tex] can be written as a function:
[tex]\rm h(t) = a(t-h)^2+k\\[/tex]
It is required to determine the maximum height of the projectile.
What are maxima and minima?Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
The given function:
[tex]\rm h(t) = -4t^2+24t[/tex] for the maximum height of the projectile differentiate the given function with respect to 't' and equate it to zero.
[tex]\rm h(t) = -4t^2+24t\\[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x} [h(t)] = \frac{\mathrm{d} }{\mathrm{d} x}(-4t^2+24t)\\[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x} [h(t)] = \frac{\mathrm{d} }{\mathrm{d} x}(-4t^2)+\frac{\mathrm{d} }{\mathrm{d} x}(24t)\\[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x} [h(t)] = -8t+24\\[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x} [h(t)] = 0 \Rightarrow-8t+24=0\\[/tex]
[tex]\rm -8t+24=0\\\rm t= 3 \ sec[/tex]
Here, [tex]\rm \frac{\mathrm{d}^2 }{\mathrm dx^2} \leq 0[/tex]
It means that at t=3, we get the maximum height of the projectile.
[tex]\rm h(3)= -4(3)^2+24(3)\\\rm h(3) = -36+72\\\rm h(3)= 36 \ Feet[/tex]
Thus, the maximum height of the projectile is 36 feet.
Know more about the maxima and minima here:
brainly.com/question/6422517
At the county fair, 4 employees were paid $8.75 an hour to work a funnel cake stand. The worked for 8 hours at regular pay and then for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?
Answers
Answer:
126.25
Step-by-step explanation:
take 8.75 and multiply by 8 =70
take 8.75+2.50=11.25
11.25x5=56.25
56.25+70=126.25
Determine the gcf of each set of monomials
35,30a
Answers
Answer:
The GCF of 35 and 30a, will be 5.
Step-by-step explanation:
5 is the greatest number that can be factored into 35 and 30a.
PLS HELP ASAP
What is the measure of ZABC?
Enter your answer in the box
the measure of LABC =
Answers
Answer:
B = 180 - 85 = 95
∠ABC = 95
Step-by-step explanation:
What is the radius of a circle with an area of 78. 5 square inches? Use 3. 14 for pi. Enter your answer in the box.
Answers
Answer:
The radius is 5
Step-by-step explanation:
[tex]r^{2}[/tex] = [tex]\frac{78.5}{3.14}[/tex]
[tex]r^{2}[/tex] = 25
r = [tex]\sqrt{25}[/tex]
r = 5
hence the answer is 5
on another training ride,Jana bikes 15 miles in 50 mins.Explain how you could find the number of miles she bikes in 1 hour
Answers
Answer:
18 miles
Step-by-step explanation:
Okay first I divided 15 and 50 by 5 this gives me miles for every 10 minutes this gave me 3 miles for every 10 minutes. Then I multiplied this by 6 because there are 60 minutes in an hour and got 18
the distance from castroville to dover is 37.9 kilometers, how far is it from new port to springfield
Answers
Answer:
12.8
Step-by-step explanation:
subtract each leg from the total distance of 37.9. 37.9 - 12.3 - 7.6 - 4.2 = 12.8
papsdamatrix here is this picture
Answers
excuse the other person saying u need a bigger brain, u don’t
Missing numbers on the number line
The blue dot is at what value on the number line?
Answers
Answer:
-3
Step-by-step explanation:
the number line is going up by 3's. It would start at -3 then 0 then 3 then 6 then 9 and so on. Hope this helps (:
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer: 20.4
Step-by-step explanation:
Find the circumference of the object. Use 3.14 or
22/7 for . Round to the nearest hundredth if necessary.
Answers
Answer:
C = 3.14 ft
Step-by-step explanation:
C = 2πr
Step 1: Define
r = 0.5 ft
Step 2: Substitute and Evaluate
C = 2π(0.5 ft)
C = 1π ft
C = π ft
C = 3.14 ft
Answer:
3.14
Step-by-step explanation:
Franny wants to spend an equal amount of money
on the presents for her friends. If she has $62, about
how much money can she spend on each present?
With actually answer
Answers
Answer:
62/amount of friends= each present
Step-by-step explanation:
Answer:
62 divide by the number of friends present
solve the equation using the quadratic formula. 3x^2+7x-20=0
Answers
Answer:
Step-by-step explanation:
a = co-efficient of x² = 3
b = co-efficient of x = 7
c = constant = -20
Determinant = D = b² -4ac
= 7² - 4*3*(-20)
= 49 + 240
= 289
[tex]x =\dfrac{-b + \sqrt{D}}{2a} ; \ x =\dfrac{-b- \sqrt{D}}{2a}\\\\\\x=\dfrac{-7+\sqrt{289}}{2*3} ; \ x=\dfrac{-3-\sqrt{289}}{2*30}\\\\\\x=\dfrac{-7+17}{6} ; \ x=\dfrac{-7-17}{6}\\\\x=\dfrac{10}{6}; \ x=\dfrac{-24}{6}\\[/tex]
x = 5/3 ; x = -4
pls help me i dont get it
Answers
Answer:
i dont see anything
Step-by-step explanation:
Answer:
What do you need help with, theres no image or question
Which inequality represents 17 less than twice a number is no more than 35?
Answers
Answer:
A
Step-by-step explanation:
"17 less than twice a number" is 2n - 17
"No more than 35" is [tex]\leq[/tex] 35
2n - 17 [tex]\leq[/tex] 35
Can anyone help
check attachment
Answers
Answer:
first of all
11+4=15/3×√64
5×8=40
[tex](11 + 4) \div 3 \times \sqrt{64} [/tex]
Add the numbers
[tex]15 \div 3 \times \sqrt{64} [/tex]
Calculate the square root
[tex]15 \div 3 \times 8[/tex]
Divide the numbers
[tex]5 \times 8[/tex]
Multiply the numbers
[tex]40[/tex]
the length of a rectangle is 1 more than 3 times the width. if the perimeter is 98. what is the length ?
Answers
Answer:
length = 37
Step-by-step explanation:
w= x
l= 3x + 1
to get the perimeter you need to add all sides.
x + x + 3x + 3x + 1 + 1 = 98
8x + 2 = 98
8x = 96
x = 12
To get the length plug in the value of the x to 3x + 1.
length = 3(12) +1
length = 37
Kelly really wants to buy a car. She needs a down payment of $6000. If
she deposits $4550 now with interest compounding continuously at 5%,
how many years will it take her to save enough to buy the car?
Answers
Answer:
6 years
Step-by-step explanation:
4550 x 1.05⁶= 6097.43516484
is 5.16 a rational or irrational number?
Answers
Answer:
rational
Step-by-step explanation:
What is 8 inches converted to feet? Write your answer as a fraction in simplest form
Answers
Answer: 2/3 feet
Step-by-step explanation:
Since there are 12 inches in a foot, 8 inches would be equal to 8/12 of a foot. We can divide the numerator and the denominator by 4.
8/12 = 2/3 feet
Answer:
2/3 feet
Step-by-step explanation:
How do we convert inches to feet?
To convert a number of inches into feet, we divide the number of inches by 12.Solving
8 ÷ 12 = 8/128 and 12 have a GCF of 4.8/4= 2, 12/4 = 32/3Therefore, the answer is 2/3 feet.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The coldest temperature ever recorded in Nome, Alaska, is -54°F. The average temperature in Nome during the Serum Run was 34° warmer. What was the average temperature in Nome during the Serum Run?
Answers
Since it was warmer it means there was an increase in temperature
A business has $10,000 in its bank account. In order to build an addition onto its office, it takes out a loan for $30,000 and deposits that money into the bank account. A number line is shown. The number line goes from zero dollars to forty thousand dollars by intervals of five thousand. A point is plotted at ten thousand dollars. What is the new account balance?
Answers
Answer:
The new account balance is $40000
Step-by-step explanation:
The number line is not given. However, the question can be solved without it.
Given
[tex]Balance = \$10000[/tex]
[tex]Loan = \$30000[/tex]
Required
Determine the new balance
[tex]New\ Balance = Initial\ Balance + Loan\ Amount[/tex]
[tex]New\ Balance = \$10000 + \$30000[/tex]
[tex]New\ Balance = \$40000[/tex]
Hence:
The new account balance is $40000
Find the slope of the line through the given points.
( -2,-8) and (2,4)
Answers
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
3
Step-by-step explanation:
hope this helps!
A sink holds 312 gallons. About how many liters does it hold? Round your answer to the nearest tenth if necessary.
Answers
Answer:
321
Step-by-step explanation:
I think its 321 because it says round to the nearest tenth
Answer:
1180.9litres
Step-by-step explanation:
The unit conversion between (American) gallons and liters:
1 gallon = 3.785 liters.
312 × 3.785litres = 1180.92litres
= 1180.9litres