Answer:
The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.
Step-by-step explanation:
The length of an arc ([tex]\Delta s[/tex]) with a given central angle is determined by the following expression:
[tex]\Delta s = \frac{\theta}{360^{\circ}}\cdot 2\pi\cdot r[/tex]
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]\theta[/tex] - Central angle, measured in sexagesimal degrees.
Given that [tex]r = 5\,cm[/tex] and [tex]\theta = 60^{\circ}[/tex], then:
[tex]\Delta s = \frac{60^{\circ}}{360^{\circ}} \times 2\pi \times 5\,cm[/tex]
[tex]\Delta s = \frac{5\pi}{3}\,cm[/tex]
The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.
The length of a rectangle is 3 inches. Enter an expression for the area of the rectangle if the width is w inches. Find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
Answer:
An expression for the area of the rectangle if the width is w inches is
[tex]A =[/tex] 3w
when the width is 1 inch, Area = 3 square inches (in²)
when the width is 2 inches, Area = 6 square inches (in²)
when the width is 3 inches, Area = 9 square inches (in²)
when the width is 26 inches, Area = 78 square inches (in²)
Step-by-step explanation:
The area of a rectangle is given by
[tex]A = l[/tex] × [tex]w[/tex]
Where [tex]A[/tex] is the area of the rectangle
[tex]l[/tex] is the length of the rectangle
and [tex]w[/tex] is the width of the rectangle
From the question,
length, [tex]l[/tex] = 3 inches
width, [tex]w[/tex] = w inches
Hence, An expression for the area of the rectangle is
[tex]A =[/tex] 3 × w
[tex]A =[/tex] 3w
Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
1. when the width is 1 inch (That is [tex]w[/tex] = 1 inch)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 1
[tex]A =[/tex] 3 square inches (in²)
2. when the width is 2 inches (That is [tex]w[/tex] = 2 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 2
[tex]A =[/tex] 6 square inches (in²)
3. when the width is 3 inches (That is [tex]w[/tex] = 3 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 3
[tex]A =[/tex] 9 square inches (in²)
4. when the width is 26 inches (That is [tex]w[/tex] = 26 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 26
[tex]A =[/tex] 78 square inches (in²)
Riangle ABC is isoscelesGJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answer:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.
Answer:
It has exactly 3 congruent sides
Step-by-step explanation:
took the unit test on edg 2020
Nancy put 80 acorns in her backyard. Then, she made a graph of how many acorns different types of squirrels
ate.
how many acorns were left after the squirrels ate?
Answer:
16
Step-by-step explanation:
If we take the partial image to be 1/2 of a full image, then there are a total of
5 1/2 + 2 + 6 + 2 1/2 = 16
acorn images on the graph. Each image represents 4 acorns, so a total of ...
4 × 16 = 64
acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.
Brian is on the swim team. Each day he swims 900 m. How many kilometers does he swim each day?
Answer:
he swims 0.9 kilometers each day.
Step-by-step explanation:
Answer:
He swims 0.9km each day.
Step-by-step explanation:
To convert m to km divide by 1000
900/1000 =0.9
Find the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)
Answer:
B = (6, 4)
Step-by-step explanation:
You know that the midpoint is calculated as ...
M = (A +B)/2
Solving this for B, we find ...
2M = A + B
B = 2M - A
Filling in the coordinate values, we get ...
B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)
B = (6, 4)
(1. - 2.9), (3, - 1.9), (3, 3), (1, 2)
Fallon connects the points to make a polygon. Which shape does she draw?
f
A
square
B
rectangle
С
trapezoid
D
parallelogram
Solve for b.
5 = b/2
Answer: b=10.
Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10
Select all expressions that are equivalent to 6(b+2)-b. A) 5b+12 B) 7b+8 C) 6b+8-b D) 5b+8 E) 6b+12-b
Answer:
A, E
Step-by-step explanation:
Wanted expression: 6(b+2)-b
Let's factorise each expression and make it look like the wanted expression as much as possible.
A: 5b+12
In this case we do not have a "-b" at the back, to make it similar to the given expression we can insert a "-b" at the back while adding 1 b to the front (5b) of the expression.
6b+12-b
6(b+2)-b
B: 7b+8
8b+8-b
8(b+1)-b
C: 6b+8-b
2(3b+4)-b
D: 5b+8
6b+8-b
2(3b+4)-b
E: 6b+12-b
6(b+2)-b
The 2 expressions out of A-E that are the same as the wanted expression are A and E.
hope this helps :))
You need to purchase a new windshield for your vehicle. The quote is $309.99 with an additional 6.25% tax. What is the total cost of the windshield replacement? (hint figure out how much tax there will be and add it to your payment) (use a $ in your answer and round to two decimal places)
Answer:
$329.36
Step-by-step explanation:
Multiply the price by 1.0625 to find the total cost:
309.99(1.0625)
= $329.36
The episodes of a TV program are each 40 minutes long. Phill watches four episodes together. How long is he watching TV for ? Give your answer in hours and minutes.
Answer:
He is watching TV for 2 hours and 40 minutes.
Step-by-step explanation:
We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.
As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;
1 episode = 40 minutes
4 episodes = 4 [tex]\times[/tex] 40
= 160 minutes
So, the length of four episodes together is 160 minutes.
Now, we have to convert the time in hours and minutes;
As we know that 1 hour = 60 minutes
160 minutes = 120 minutes + 40 minutes
= 2 hours + 40 minutes
Hence, the length of four episodes together is 2 hours and 40 minutes.
ALG II NEED HELP QUICK WILL MARK BRAINLIST
Answer:
type the question that is the answer
Step-by-step explanation:
Which number is rational Can y’all please help me my time is about to run out I need this ASAP I will give brainliest
Answer-
0.4
Step-by-step explanation:
The answer is pi. It doesn't go on forever.
15 divided by 4 and 1/6
Answer:
15÷4÷1/6.
first of all change ÷ to ×.
which will be 15×1/4×6/1.
which will be 15×1/2×3.
which is 15×3=45/2.
the answer is 22.5 or 22 whole number 1/2.
15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
To divide 15 by 4 and 1/6, we can convert the mixed number 4 and 1/6 into an improper fraction.
4 and 1/6 can be written as (4 x 6 + 1) / 6 = 25/6.
Now, we can divide 15 by 25/6:
15 ÷ (25/6) = 15 x (6/25)
= (15 x 6) / 25
= 90/25.
Now, the fraction 90/25 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
= 90/25
= (90 ÷ 5) / (25 ÷ 5)
= 18/5.
Therefore, 15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
Learn more about Division here:
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4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
Answer:
N$12 576. 11
Step-by-step explanation:
Loss%=10%
S.P= N$11 480.50
C.P =?
Loss%=100(C.P - S.P)/C.P
10=100(C.P-11 480.50)/C.P
10C.P=100C.P - 1 148 050
1 148 050=100C.P - 10C.P
1 148 050=90C.P
C.P=N$12 576.11
In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can be used to determine if the triangle is a right triangle?
a squared = c squared
2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².
The equation can be used to determine if the triangle is a right triangle is c² = 2a².
What is Pythagorean Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
Learn more about Pythagorean Theorem here:
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Which expression has a sum of a 11/12? pls help. explain step by step in a way a 13 year old will understand.
a. 10/22+2/12
b. 5/4+3/4+3/4
c. 1/12+5/12+5/12
d. 5/6+6/6
c. they are all parts of 12, and when added together they equal 11/12. The formula to solve non proportionate fractions*or with different denominators* is to CROSS multiply and make the denominators equal, then add the numerators and SIMPLIFY.
*Cross multiply to make the denominator equal (you can google how to make fractions equal)
then add the numerators together
then simplify. PLEASE BE CONSIDERATE OF THE FORMULA AND DONT BE INTIMIDATED BY THE LOOK OF THE PROBLEM. They all have the same formula or method of solving. Good Luck!! I hope this helps.
The expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12
check all options:
a. 10/22 + 2/12
The lowest common multiple of 22 and 12 is 264
= (120 + 44) / 264
= 164/264
divide through by 4
= 41 / 66
b. 5/4+3/4+3/4
The lowest common multiple 4 is 4
= (5+3+3) / 4
= 11/4
c. 1/12+5/12+5/12
The lowest common multiple of 12 is 12
= (1+5+5) / 12
= 11/12
d. 5/6+6/6
The lowest common multiple of 6 is 6
= (5+6) / 6
= 11/6
Therefore, the expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12
Read more:
https://brainly.com/question/21879420
A random sample of individuals living in a country reveals that most of its population is between the ages 0 and 29. What would this country's age pyramid look like?
Step-by-step explanation:
The Population pyramids or the age pyramid visualizes the demographic structure of any population. It is the graphical illustration which shows the distribution of the various age groups in the population.
The width of the pyramid represents the size of a population for a given age. Men are shown to the left and the women on the right.
The population pyramid between the age group will look like a pyramid with a very large width at the bottom and narrowing top.
HELP ME PLEASE IM NOT GOOD AT MATH!!!! 4
Answer:
The answer should be 1/12 because a a cube has 6 sides rolling it twice would make it 12.
Hope This Helps!
Side length of square = 4.5 in
Perimeter of square=
Answer:
18 in
Step-by-step explanation:
(4.5)(4)=18
Side Length * Sides = 18 in
The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. 21.2d+12.4 B. 9.7−7f+21.2d C. 21.2d+12.4f D. 6.2+10.6d
Answer: C. 21.2d+12.4f
Step-by-step explanation:
Given, The width of a rectangle measures[tex](5.5d+9.7f)[/tex] centimeters, and its length measures [tex](5.1d-3.5f)[/tex] centimeters.
Perimeter of rectangle = 2 (length + breadth)
[tex]= 2 ((5.5d+9.7f)+ (5.1d-3.5f) )\\\\=2 (5.5d+9.7f+5.1d-3.5f)\\\\= 2(5.5d+5.1d+9.7f-3.5f)\ \ \ [\text{Combine like terms}]\\\\= 2(10.6d+6.2f)\\\\= 21.2d+12.4f\ \ \ [\text{Multiply 2 inside the bracket}][/tex]
Hence, the correct option is C. 21.2d+12.4f .
Which equation describes a line that passes through (-6,8) and is perpendicular to the line described by y=2x-4
Step-by-step explanation:
Hey, there!!
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
[tex]m1 = \frac{ - 1}{2} [/tex]
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
b/11-6b/11=10/11 solve for b asap
I hope this helps you
b-6b/11=10/11
-5b=10 (divide -5 both of sides)
b=-2
In a survey, 3 out of 5 people preferred rice to noodles. If 75 people were
surveyed, how many preferred rice?
Will award the brainlest
Answer:
45 people
Step-by-step explanation:
3/5 x 75 = 45, therefore, 45 people out of 75 preferred rice to noodles.
Answer:
45 prefer rice out of 75 surveyed.
Step-by-step explanation:
75 divided by 5 is 15. 15 x 3 = 45!
3/5 = 45/75
i. dont know what to do jesys chrusr
What is the value of the expression below?
-8+19+8
О 0
O 11
0 19
O 35
Answer:
19
Step-by-step explanation:
Using number line method:
-8+19=11
11+8=19
Answer:
19 is the answer
19 -8+8=19
what is 20c + 8d + 10c - 5d simplified?
Answer:
30c +3d
Step-by-step explanation:
20c + 8d + 10c - 5d
Combine like terms
20c+10c +8d - 5d
30c +3d
Answer:
30c + 3d
Step-by-step explanation:
20c + 10c = 30c
8d - 5d = 3d
= 30c + 3d
The speed of sound through glass is 1.63 × 10 4 kilometers per hour. Expressed in standard form, how many kilometers per hour is that? 0.000163 1.6300 16,300 163,000
Answer:
16,300
Step-by-step explanation:
Answer:
the answer is 16,300
Step-by-step explanation:
hope this answer helps
PV=nRT, solve for T
Answer:
[tex]\huge \boxed{T= \frac{P V}{n R} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]P \cdot V = n \cdot R \cdot T[/tex]
Dividing both sides by n · R:
[tex]\displaystyle \frac{P \cdot V}{n \cdot R} =T[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]
$$P \cdot V = n \cdot R \cdot T$$
Dividing both sides by n · R:
$$\displaystyle \frac{P \cdot V}{n \cdot R} =T$$
$$\rule[225]{225}{2}$$
16= -16h i have no clue what the answer is so ya :/
Answer:
Hey there!
-16h=16
Divide both sides by -16
h=-1
Hope this helps :)
Answer:
h = -1
Step-by-step explanation:
inverse operation:
16 = -16h
divide by -16 on both side
-1 = h
10. Undefined slope and contains the point (7,2)
in standard form.
m
Please help and show work .
Answer:
x = 7
Step-by-step explanation:
A vertical line has undefined slope.
The equation of a vertical line is x = b, where b is the x-coordinate of all points on the line.
We are told the line contains point (7, 2) with x-coordinate 7, so all points on this line have x-coordinate 7, and the equation of the line is
x = 7