Answers
Answer:
Option E) 832.9km2
Step-by-step explanation:
The total area of the circle:
[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]
The proportion of the blank region:
[tex]\frac{(67)(3)}{360} =0.558333[/tex]
Then the proportion of the shaded region is:
[tex]1-0.558=0.441667[/tex]
Extract this proportion from the total area
[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]
Hope this helps
Related Questions
Draw a right trapezoid with bases of 8 and 10 cm
Answers
Answer:
Here is a picture of a right trapezoid with bases of 8 and 10 cm
16 Select the correct answer. Jonathan opened an auto repair shop. In the first month, 11 cars were serviced at his shop. After the first month, the total number of cars serviced at Jonathan's shop increased by 9 cars per month. How many total cars were serviced at Jonathan's shop at the end of the 7th month? O A 75 cars OB. 86 cars Oc 74 cars OD 65 cars Reset Net l rights reserved.
I just need help please
Answers
Answer:
65 cars
Step-by-step explanation:
In the first month, there are 11, then the cars increased by 9 for the last 6 months, meaning you can do 6*9=54
You can then add that to 11, which is 11+54=65
Solve the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5), Dg=(-∞,4)
Answers
For the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5) the solution is mathematically given as
1 ≤ x < 6
What is the following inequalities g(5-x^2)≤g(3x-5)?
Generally, the equation for the inequalities is mathematically given as
g(5-x^2)≤g(3x-5)
therefore,
x^2<5x+6
-1< x <6
In conclusion, the solution to the inequalities are
1 ≤ x < 6
Read more about Inequality
https://brainly.com/question/19491153
Look at the image for the instructions! I need this asap! I will give points, 5 stars and brainliest ((:
(This is an essay)
Answers
Answer:
1. one is smaller by 5 cm and one is larger by 5 cm
2. well they are similar to each other, but one is dilated and isn't
5. Which side lengths form a right triangle?
Check all that apply.
Answers
Answer:
=> 6.5, 7.2 , 9.7
Step-by-step explanation:
By using Pythagorean theoram
H² = P² + B²
=> (9.7)² = (7.2)² + (6.5)²
=> 94.09 = 51.84 + 42.25
=> 94.09 = 94.09
Sally's soccer team played 25
games this season and lost 9 of
those games. What percent of the
games did the team win?
Answers
Answer:
64%
Step-by-step explanation:
25 - 9 = 16, so 16 of the games were won by Sally's team.
16/25 = 64% of the games were won
Let p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x. Define r(x) = p(x) \cdot q(x).
Find all values of x for which r(x) = 0.
Answers
The roots of the entire polynomic expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6.
How to solve a product of two polynomials
A value of x is said to be a root of the polynomial if and only if r(x) = 0. Let be r(x) = p(x) · q(x), then we need to find the roots both for p(x) and q(x) by factoring each polynomial, the factoring is based on algebraic properties:
r(x) = (x + 6) · (x + 2) · x · (x² + 5 · x - 6)
r(x) = (x + 6) · (x + 2) · x · (x + 3) · (x + 2)
r(x) = x · (x + 2)² · (x + 3) · (x + 6)
By direct inspection, we conclude that the roots of the entire polynomic expression are x₁ = 0, x₂ = -2, x₃ = -3 and x₄ = -6. [tex]\blacksquare[/tex]
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
Which equation represents the graphed function? –3x 2 = y –x 2 = y x – 3 = y 2x – 3 = y
Answers
Answer:
C) 3/2x-3=y
Step-by-step explanation:
-3 because that is the Y- intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.
What's the range of f(x)=x+6 if x ∈(-4,-1)
Answers
Answer:
the range of is (2 , 5)Step-by-step explanation:
f(x)=x+6
f is an increasing function then the range of is
f(-4,-1) = (f(-4) , f(-1))
f(-4) = -4 + 6 = 2
f(-1) = -1 + 6 = 5
Therefore
the range of is f(-4,-1) = (2 , 5)
A notebook costs £1.60, a pen costs 37p, a pencil costs 21p and a sharpener costs 86p.
Remi buys 3 pencils, 2 pens, 3 sharpeners and some notebooks.
He pays with £8 and receives 85p change.
How many notebooks did he buy?
notebooks
Answers
3 pencils times 21p= 63p
2pens times 37p=74p
3sharpeners times 86p=258p
63p+74p+258p=£3.95
£8-3.95=£4.05
£4.05-£1.60= £2.45
£2.45-£1.60=85p
So… he bought 2 notebooks
Answer:
2
Step-by-step explanation:
£1 = 100p
3*21p+2*37p+3*86p+x*160p (x is the number of notebooks)
63p+74p+258p+x*160p = 395p+x*160p
He paid £8 so he paid 800p
800p-395p = 405p
405p-85p = 320p
320p:160p = 2
He bought 2 notebooks
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
c
Step-by-step explanation:
because 3 x 3 = 9
1 x 5 = 5
simplest form will be 1 4/5
what is the median in 72 77 75 72 70 69 71 78 75 68 62 69 65 63 68 53 57 79 77 75 80 73 71 64 71 64 50 50 55 55
Answers
Answer:
The median is 69.5
Step-by-step explanation:
The median is also known as the middle value. To find the median, you first arrange your data in numerical order.
Numerical order:
50, 50, 53, 55, 55, 57, 62, 63, 64, 64, 65, 68, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73, 75, 75, 75, 77, 77, 78, 79, 80
There are 30 numbers, which means that the median is between the 15th and 16th value (69 and 70).
69 + 70 = 139
139/2 = 69.5
Therefore, the median of this data set is 69.5
Hope this helps!
- A new rectangular lawn has a
perimeter of 298 ft. and a width of
67 ft. A bag of grass seed will cover
285 ft2 of ground. How many bags
of grass seed are needed to seed
the new lawn?
Answers
The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .
Perimeter of a rectangle
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore,
perimeter of the rectangle = 298 ft
The width is 67 ft.
Hence
perimeter of rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
298 = 2 ( l + 67)
298 = 2l + 134
298 - 134 = 2l
164 = 2l
l = 164 / 2
l = 82 ft
Therefore,
area of the rectangle = 82 × 67 = 5494 ft²
285 ft² = 1 bag of grass seed
5494 ft² = ?
cross multiply
number of bag of grass seed to fill the new rectangular lawn = 5494 / 285
number of bag of grass seed to fill the new rectangular lawn = 19.2771929825
learn more on rectangle here: https://brainly.com/question/16878024
What are the y-intercept and the horizontal asymptote of g(x) = 7x + 2?
(0, 3) ; y = 2
(0, 4) ; y = 7
(0, 7) ; y = 2
(0, 9) ; y = 7
please hurry
Answers
Put x =0 to find y intercept
7(0)+20+22Y intercept:-
(0,2)Horizontal asymptote=y=2
Last year the depth of the river was 4.2 feet deep. This year it dropped 9% Find the depth of the river this year
Answers
Answer: 3.822
Step-by-step explanation: 9/100 × 4.2 = 0.378
Deduct from 4.2
What is the length of the missing leg? If necessary, round to the nearest tenth
Answers
Answer:
Solution
Here,
H=?
P=3
b=6
H=√p2+B2
=√6×6+3×3
=√36+9
=√45
=3√5
Answer:
23
Step-by-step explanation:
a^2 + b^2=c^2
3=a^2
6=b^2
3×3= 9
6x6=36
36+9=45
45÷2=22.5
30 points pls helppp
Select the equation of the line that passes through the point (2, –1) and has slope 3 in point-slope form.
(y + 1) = 3(x – 2)
(y – 1) = 3(x + 2)
(x + 2) = 3(y – 1)
(x – 2) = 3(y + 1)
Answers
Answer:
(y + 1) = 3( x +2)
Step-by-step explanation:
from equation,
y - y1 = m( x - x1)
given x1=2, y1= -1
m = 3 (slope)
substitute
y - (-1) = 3( x - 2)
ans: y+1= 3(x+2)
Don't Send links, don't Write random things and get the points for free.
Answers
Answer:
2,714in^3
Step-by-step explanation:
V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714
The volume of the cylindrical fish tank is 2,714 inches cubed.
Answer:
Option A, [tex]2714\ in^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume of the cylinder
[tex]V=\pi r^2h[/tex]
[tex]V=\pi *(12\ in/2)^2*24\ in[/tex]
[tex]V=\pi *(6\ in)^2*24\ in[/tex]
[tex]V=\pi * 36\ in^2 *24\ in[/tex]
[tex]V = \pi *864\ in^3[/tex]
[tex]V=2,714\ in^3[/tex]
Answer: Option A, [tex]2714\ in^3[/tex]
find the are of the shape below
Answers
Answer:
Area is 235
Step-by-step explanation:
Split the shape evenly so 11 x 14 and 9 x 9then multly and add
when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9
9 x 9 = 81
11 x 14 = 154
81 + 154 = 235
or
Simular to the first one but the cutting line is different. this time the line cuts through 14
9 x 20 = 180
11 x 5 = 55
180 + 55 = 235
‼️⚠️⚠️‼️ HELP PLEASE WILL GIVE POINTS
Answers
Answer:
m∠ABC=42°
Step-by-step explanation:
m∠ABD=70°
⇒m∠ABD=m∠ABC+m∠CBD
⇒70°=(3x+33°)+(5x+13°)
70°=8x+46°
70°-46°=8x
24°=8x⇒x=3°
x=3°
Then,
m∠ABC=3x+33°
put x=3°, we get
m∠ABC=3×3°+33°=9°+33°
m∠ABC=42°
6. A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.
Answers
Answer:
46 feet
Step-by-step explanation:
it is a 8-15-17 Pythagorean Triple (or you can use the Pythagorean theorem)
P=8+8+15+15=46
The perimeter of the rectangle with a length of 15 feet and has a diagonal that measures 17 feet is: A. 46 feet.
What is the Perimeter of a Rectangle?To find the perimeter of the rectangle, we need to know the width of the rectangle. Let's call the width of the rectangle W.
In a rectangle, the diagonal, length, and width are related by the Pythagorean theorem:
Diagonal² = Length² + Width²
In this case, the diagonal (D) is 17 feet, and the length (L) is 15 feet. So we have:
17² = 15² + W²
289 = 225 + W²
Now, let's solve for W:
W² = 289 - 225
W² = 64
W = √64
W = 8 feet
Now that we know the width is 8 feet, we can calculate the perimeter (P) of the rectangle:
Perimeter = 2 * (Length + Width)
= 2 * (15 + 8)
= 2 * 23
Perimeter = 46 feet
Learn more about Perimeter of a Rectangle on:
https://brainly.com/question/24571594
#SPJ2
What expression is equivalent to 4 (3x-2)
Answers
Answer:
12x-8
Step-by-step explanation:
In order to take away the parentheses, we have to multiply all terms inside the parentheses by 4. 4*3x = 12x, and -2*4 = -8. So we can determine at 4(3x-2) = 12x-8.
Help pls
What is the value of RS?
Answers
Answer:
RS = 16
Step-by-step explanation:
If a line is parallel to a side of a triangle and intersects the other 2 sides , it divides those sides proportionally.
PR is such a line , then
[tex]\frac{QR}{RS}[/tex] = [tex]\frac{QP}{PT}[/tex] ( substitute values )
[tex]\frac{32}{RS}[/tex] = [tex]\frac{42}{21}[/tex] = 2 ( multiply both sides by RS )
32 = 2 RS ( divide both sides by 2 )
16 = RS
Answer:
Your answer is, RS- 16.
Step-by-step explanation:
I hope this helps you :)
pls mark brainleist :P
`
`
`
W/ <3...
Tori
A sample of students is taken from the school's A honor roll. The school
estimates that there are 360 students on the A honor roll. Using this sample,
how many students on the A honor roll are 8th graders?
Answers
Answer:
There are 126 8th grade A honor roll students.
Step-by-step explanation:
please solve for x 3x + 22
Answers
Answer:
The x intercept is [tex](-\frac{22}{3} ,~0)[/tex]
The y intercept is [tex](0,~22)[/tex]
Can you please help me really quick I need help with this
Answers
Check the picture below.
f x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?
Answers
y<=-x-7
(-infinity ,-x-7)
This is statement is true
Interval notation for 5-y<=2(x-3)
y=>11-2x
[11 - 2 x, ∞)
lily and Aiko think of a whole number aiko's numbers of 2000 when rounded to the nearest 1000 lily's number 1900 when rounded to 100 Aiko says "my number larger than Lily's!" is Aiko correct?
Answers
he has a higher chance of having the larger number but that does not make him correct
Step-by-step explanation:
Aikos number can be any where from 1501 all the way to 2499 while lily's number would have to be between 1851 and 1949.
27
5
to a mixed number
a
decimal.
Answers
Answer: 5.4 and 5⅖
Step-by-step explanation:
27/5 to a mixed number 5⅖
Decimal 5.4
The tank of a car holds 10 gallons of gas.
How many liters does the tank hold? Round to the nearest tenth.
Answers
Answer:
37.9 liters
Step-by-step explanation:
Multiply the number of gallons by 3.785 to convert to liters
Multiplying by ten moves the decimal point over to the right
3.785 * 10 = 37.85
The tenths place is where the 8 is, and since 5 is [tex]\geq[/tex] (greater than or equal to) 5 that makes the 8 round up to a 9
resulting in...
10 gallons = 37.9 liters
hope this helps:)