The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
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you go to the pet store and see 9 cats and 12 dogs.if this ratio stays the same and there are 108 cats in the store,how many dogs would be in the store?
Answer:
144
Step-by-step explanation:
Because if you multiply 9*12=108 and 12*12=144
Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6
Answer:
not a solution
Step-by-step explanation:
substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.
2(2) - 4(- 1) = 4 + 4 = 8 ← true
- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1
then (2, - 1 ) is not a solution of the system
Please help me graph the points with this please and thank you
Answer:
Hope this helps <3
Step-by-step explanation:
(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)
If tan 0 = 8/15, what is sin 0?
use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot
Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
What is the Tangent Ratio?Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
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Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.
Answer:
Step-by-step explanation:
Complementary angles add up to 90°
∠1 + ∠2 = 90°
66 + 2x = 90°
2x = 90° - 66°
2x = 24°
x = 24/2
x = 12°
∠2 = 2*12
∠2 = 24°
Jim has some socks in two drawers. In one drawer he has 3 red and 6 green socks. In the other drawer he has 2 red and 2 green socks. If jim takes one sock out of each drawer, how probable is it that both will be red?
Answer:
5/6
Step-by-step explanation:
There are 5 steps to solving this problem:
Calculate the number of marbles in each drawerCalculate the fractional number of red marbles in each drawerThe answer is the number of red marbles in both drawers added together.Using these steps, we see that:
9 in the first drawer and 4 in the other drawer 3/9 or 1/3 of the socks in the first drawer are red, and 1/2 of the socks in the second drawer are redAdding 1/3 and 1/2 together equals 5/6Therefore, the answer is 5/6!X + Y-2 (3X-4Y+3) please simplify this
thanks
Answer:
-5x+9y-6
Step-by-step explanation:
Step 1:
Remove bracket,
x+y-6x+8y-6
collect like terms and simplify,
x-6x+y+8y-6= -5x+9y-6
A triangle has and area of 42 cm2. The height of the triangle is 14cm What is the base and length
Answer:
Step-by-step explanation:
AREA: 42 cm^2
h = 14 cm
area of a triangle formula:
[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]
(14)(base) = 42 * 2
(14)(base) /14 = 84 /14
base = 6 cm
Miras kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter
Answer:
103
Step-by-step explanation:
To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.
Find the 8th term of the sequence whose common ratio is 1/3 and whose first term is 3
Answer:
The 8th term is [tex]\frac{1}{729}[/tex].
Step-by-step explanation:
Let's begin with the formula for a geometric sequence. We know this is geometric because we are working with a common ratio, or the number we multiply to find each term.
[tex]a_n=a_0(r)^{n-1}[/tex]
In this formula, [tex]a_0[/tex] is the first term, [tex]r[/tex] is the common ratio, and [tex]n[/tex] is the desired term. We know the values of [tex]r[/tex], [tex]a_0[/tex], and [tex]n[/tex] from the given information:
[tex]a_0=3\\r=\frac{1}{3}\\n=8[/tex]
Substituting those values we get:
[tex]a_8=3(\frac{1}{3})^{8-1}[/tex]
[tex]a_8=3(\frac{1}{3})^7\\a_8=3(\frac{1}{2187})\\a_8=\frac{3}{2187}\\a_8=\frac{1}{729}[/tex]
what number is 0.1 more than 149.99
Answer:
150.09
Step-by-step explanation:
0.1 = 1/10 + 149.99= 150. the leftover of 0.09 then is finally added to 150 which then you get 150.09
Please mark brainliest!
Answer:
The answer should be 150.09
Step-by-step explanation:
Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09
Hope This Helps
Have A Great Day
~Zero~
Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $ .
The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
How to find the area of the composite figures?To find area of the composite figures,
Separate the figure.Calculate the are of the each figure by which the composite figure is made of.Add the area of all the individual figures to get the total area of composite figures.The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,
[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]
The radius of the semicircle is 1.5 m. The area of the semicircle is,
[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]
The area of the composite figure is,
[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]
The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,
[tex]A=15.5325\times2\\A=31.065[/tex]
Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
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Answer:31
Step-by-step explanation:
Shawna won 40 super bouncy balls playing
horseshoes at the county fair. At school she
gave three to every student in her math
class. She only has 1 remaining. How
many students are in her class?
Answer:
13 not including Shawna
Step-by-step explanation:
First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.
Answer:
13
Step-by-step explanation:
13 x 3=39. There is one remaing, +1 = 40.
An equation is shown.
3m • 3 = 3-2
What are the possible values for m and n?
Answer:
n=3m+5
n−2m=3
\hboxsubstitute3m+5forninthesecondequation:
3m+5−2m=3
m+5=3
m=3−5
m=−2
n=3m+5
n=3×(−2)+5
n=−6+5
n=−1
(m,n)=(−2,−1)
The answer is C.
The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?
can you help me with this
Answer:
the anwer is b
I did the math
A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds?
The distance of the plane travelling at 220 feet per second off the ground is 151.71feet
How to calculate the maximum height of an objectMaximum height of the plane is expressed as:
[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]
u is the velocity = 220ft/s
θ is the angle of elevation = 14.5°.
g is the acceleration due to gravity
Substitute
[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]
Hence the distance of the plane off the ground is 151.71feet
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Use the figure to answer the question.
What is the area of the triangle on the left?
Answer: 15
Step-by-step explanation:
Area of a triangle = base * height.
Since the inside figure is a square, the base of the triangle must be 5.
To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.
Plug these numbers into the formula: 5 * 6 / 2 = 15 :)
Answer:
the answer is 29
Step-by-step explanation:
The answer is 12 because
the length is 17 then i did minus 5 since that's the width
17-5=12
that's the length for the slanted part then......
12+12=24+5=29
(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.
What is one way to put your PowerPoint Online presentation in full screen mode for your audience?
Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show
Answer:
The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.
Step-by-step explanation:
Answer:
Reading View
Step-by-step explanation:
First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.
Determine the value of y, if x is −8. y=x 2 +4
Step-by-step explanation:
given: x = -8,
putting value of x in given equation,
y=(-8)2+4
y= -16+4
y=-12
What is a formula for the nth term of the given sequence?
16,8, 4...
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12
Answer:
x=2-y/2
y=12/7-6x/7
Step-by-step explanation:
Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answer:
(-5,-1)
Step-by-step explanation:
PLEASE HELP!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
40/41.
Step-by-step explanation:
sin Z = opposite side / hypotenuse
= 40/41
What is the perimeter of the shape below?
None of these choices are correct
The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.
Eman skateboarded 24 miles in 2 hours on Monday and 6 miles in half an hour on Wednesday . Hiro has been tracking his speed while riding his bike also. He noticed that he can bike 15 miles per hour. What is Eman's unit rate?
Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.
What is his unit rate?The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.
Average speed = total distance / total time
24/2 = 12 miles per hour
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OMG IM SO SORRY BUT I SERIOUSLY NEED HELP
Answer:
C
Step-by-step explanation:
The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).
I wasn't entirely sure how to explain this but I really hope this helps!
Answer:
A and C
those are the two ways to find surface area on that shape without overlap
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
1 m cube is equal to how many centimetre cube?
Answer:
1,000,000 cm³
Step-by-step explanation:
A cube has 3 dimensions of equal measure: length, width and height
To determine the volume of a cube, we multiply the dimensions:
⇒ volume of a cube = length × width × height
1 metre = 100 centimetres
Therefore, for a cube with a length, width and height of 100 cm:
⇒ volume = 100 cm × 100 cm × 100 cm
= 1,000,000 cm³