The length of arc FH in the circle 8.37 units.
What is circle?In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.
Here,
To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:
m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees
Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:
m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees
To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:
r = FG/2 = 16/2 = 8 units
The circumference of the circle is then:
C = 2πr = 2π(8) = 16π
To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:
Length of arc FH = (188/360) × C
Substituting the value of C, we get:
Length of arc FH = (188/360) × 16π
Simplifying and rounding to the nearest hundredth, we get:
Length of arc FH ≈ 8.37 units
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Answer:
FH=24.02
Step-by-step explanation: trust me
What is the difference between the 8th square number and the 4th square number?
Answer:
240
Step-by-step explanation:
The 8th square number is 2^8 = 256.
The 4th square number is 2^4 = 16.
Their difference is 256 - 16 = 240.
Solve for x: 2/7 (x-2) =4c
Answer:
x=14c+2
Step-by-step explanation:
[tex]\frac{2}{7} (x-2)=4c \\\frac{2}{7}x-\frac{4}{7} =4c\\\frac{2}{7}x=4c+\frac{4}{7}\\\frac{2}{7}x= \frac{28c+4}{7} \\2x=28c+4\\x=14c+2[/tex]
what is (3x + 4)(5x − 2)
Answer:
15x² + 14x - 8
Step-by-step explanation:
Apply the distributive property by multiplying each term in (5x - 2) by each term in (3x + 4).
5x(3x) + (-2)(3x) + 5x(4) + (-2)(4)
= 15x² - 6x + 20x - 8
Combine like terms:
15x² + 14x - 8
(3x + 4)(5x − 2) is the factored form of 15x² + 14x - 8.
hope this helps!
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?
Answer:
33%
Step-by-step explanation:
x = original price now take 45% off <=====means you pay 55% of original
.55 x is the new price now take 40% MORE off (leaving 60%)
.55x * .6 = .33 x
Select the correct answer. What is the range of the function shown on the graph?
Answer:
B
Step-by-step explanation:
The lower limit of the range of the function is -6, as it does the y-value does not decrease below that amountThe upper limit is not shown, hence we can assume it to be infinity (∞)Range
Lower limit < y < Upper limit-6 < y < ∞The best option is B
Two equilateral triangles are similar
A. Always
B. Sometimes
C. never
Answer:
b
Step-by-step explanation:
The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal. Since every equilateral triangle's angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.
A cylinder with radius 6 centimeters
and height 18 centimeters is shown.
Enter the volume of the cylinder, in cubic centimeters round your answer to the nearest hundredth.
The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
Given the parameters of the cylinder:
Radius (r) = 6 cmHeight (h) = 18 cmVolume of the cylinder = πr²h = π(6²)(18)
Volume of the cylinder = 2035.75 cm³
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Find the measure of <1
Please answer ASAP
Answer: 70 degrees
Step-by-step explanation:
The angle created by a tangent and a chord is half the measure of the arc.
Which of the following do not represent a function of x?
F
G
H
J
Answer:
f,j
Step-by-step explanation:
Can someone please help me ??
Answer:
C
Step-by-step explanation:
The values are not vectors so ST/SR should be 3
Please help this is due in 10 minutes!!!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's calculate the volume of hemisphere} [/tex]
[tex] \textbf{Given :} [/tex]
[tex] \textsf{radius = 11 inches} [/tex][tex] \textbf{Volume of a hemisphere is :} [/tex]
[tex] \sf{v=\dfrac{2}{3}\pi r³} [/tex][tex] \sf{v=\dfrac{2}{3}\cdot 3.14 \cdot 11³} [/tex][tex] \sf{v=\dfrac{2}{3}\cdot 3.14\cdot 1331} [/tex][tex] \sf{v=\dfrac{8358.68}{3}} [/tex][tex] \sf{v\approx 2786.2 in³} [/tex]The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose?
Answer:
5 $ per rose
Step-by-step explanation:
it is 5 $ as
if we do 90 / 18 we get 5
or 5 × 18 is also equal to 90
therefore it is 5$ per rose
edit if you like my answer please mark brainlist
the quadrilaterals ABCD and JKLM are similar. Find the length of x of KL
sorry if the photo does not load
Answer:
1.5
Step-by-step explanation:
abcd is 2 times bigger than jklm. so 3÷2=1.5
5÷2=2.5
2÷2=1
7÷2=3.5
so that means 3÷2=1.5
Complete the point-slope equation of the line through (3,6) and (5,-8)
Answer:
y = - 7x + 17
Step-by-step explanation:
Given, (3,6) and (5,-8)
Equation of a straight line is y = mx + c
Here, y = -8, x = 5 and m = ?
m = [tex]\frac{Change in Y}{Change in X}[/tex]
m = [tex]\frac{-8 - 6}{5 - 3}[/tex]
m = - 7
Substituting x, y and m in y = mx + c we get,
- 8 = - 7(5) + c
c = 35 - 8
c = 17
The equation is y = - 7x + 17 (Answer).
please help me this is timed!!
which point represents the unit rate?
a
b
c
d
Answer:
C, because it is one unit across
filler filler filler
The product of two consecutive positive integer is 306. We need to find the Integers.
Hope you guys are help me.
Answer:
Let the given set of integers be n and (n+1)
n(n+1)=306
n to the power square +n−306=0
(n+17)(n−16)=0
Therefore, n=16 and integers are 16 and 17.
Answer:
17, 18
Explanation:
Let the integers be y, y + 1
=======================
y * (y + 1) = 306 (products of them)y² + y = 306 (multiply)y² + y - 306 = 0y² + 18y - 17y -306 = 0 (factorize)y(y+18) -17(y+18) = 0 (take out common variables)(y-17)(y+18) = 0 (collect into groups)y = 17, -18 y = 17 (as required positive integer)Next integer:
y + 117 + 118it's for my friend............................................
Answer:
Ok get ready to get taken down by either Sarah, Katie, or Eric lol
Step-by-step explanation:
No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
What is Trenchless Installation of Conduits Underneath Highway?Trenchless Installation of Conduits Underneath Highways is described as a planned and engineered way with the issue of permits for installing conduits beneath roadways, local transportation authorities; and manufacturers of trenchless construction equipment.
It presents the current situation of the technique for laying conduits beneath highways without open-cut excavation using trenchless technology.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
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P(, b)
s(a)
70)
T
16
Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the
given coordinates to justify your answer. Yes it is because all four sides are parallel to each other.
Part A:
1. What is the slope of side OP?
2. What is the slope of side TS?
3. Are side OP and side TS parallel/perpendicular/neither? Parallel
Part B
1. What is the slope of side OT?
2. What is the slope of side PS?
3. Are side OT and side PS parallel/perpendicular/neither? Parallel
Part C
1. What is the length of side OP?
2. What is the length of side TS?
3. Are side OP and TS congruent or not congruent? They are congruent
Part D
1. What is the length of side PS?
2. What is the length of side OT?
3. Are side PS and side TS congruent or not congruent? They are not congruent
Part B
1. What is the midpoint of diagonal PT?
2. What is the midpoint of diagonal OS?
3. Do the two diagonals PT and OS bisect each other? Yes
Answer:
lmk when you got the answer
Ashley's ladder is 1.85 meters high. what is the height in centimeters, of Ashley's ladder
Answer:
185cm
Step-by-step explanation:
Answer:
185 cm
Fun Fact : my name is Ashley
Can anyone help me been stuck for a while
What slope would make the lines
perpendicular?
y = 1/2x-1
y = [?]x - 1
Answer:
y = [-2]x - 1
Step-by-step explanation:
y = [-2]x - 1 will make the lines perpendicular.
Because the product of slopes of perpendicular lines is -1
-> 1/2*(-2) = -1
Hope it helps you in your learning process.
3a + 2=11... need help urgently.
Answer:
a=3
Step-by-step explanation:
3a+2=11
-2
3a=9/3
a=3
Answer:
answer is a=3
Step-by-step explanation:
10% of the 50 coffee mugs at Adam's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0.10*50=5
Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21
The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
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Help on all 3 questions
Answer:
a. What is the slope of the line?
[tex]y = -3x-3[/tex]
b. What is the x-intercept of the line? (Where does the line cross the x-axis?)
[tex](-1,0)[/tex]
c. What is the y-intercept of the line? (Where does the line cross the y-axis?)
[tex](0, -3)[/tex]
Step-by-step explanation:
Calculate slope:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]
Calculate y-intercept:
(Pick any point that lies on the line)
[tex](-1,0)[/tex]
[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]
Create function:
[tex]y = -3x-3[/tex]
Get x-intercept:
Set y = 0:
[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]
[tex](-1,0)[/tex]
Get y-intercept:
Set x = 0:
[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]
[tex](0, -3)[/tex]
A variable needs to be eliminated to solve
the system of equations below. Choose the
correct first step.
-4x + y = -35
-2x - y = -7
Add to eliminate x.
Add to eliminate y.
Subtract to eliminate x.
Subtract to eliminate y.
Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )
What is the area of the
figure shown?
in?
3 in.
10 in.
5 in.
10 in.
Intro
Done
Answer:
65in^2
Step-by-step explanation:
5*10+(1/2)*3*10=65
A recipe requires ¼ lb. of ground beef to make 5 servings of lasagna. Ricardo has 3 ½ lbs. of ground beef. How many servings can Ricardo make?
Answer:
70 servings
Step-by-step explanation:
3 and 1/2 lbs is equal to 14/4. If 1/4 lbs of ground beef makes 5 servings, and you have 14/4, simply multiply 5 by 14.
Answer:
Ricardo can make 70 servings of lasagna.
Step-by-step explanation:
3.5 divided by 0.25 = 14
14 x 5 = 70
Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.
Step-by-step explanation:
14, 14,median
So option d is right
I hope it helped you