If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:

If The Length Of The Shorter Arc AB Is 22cm And C Is The Center Of The Circle Then The Circumference

Answers

Answer 1

Answer:

176 cm

Step-by-step explanation:

The shorter arc is 22 cm.

Arc length formula:

s = πrθ/180

Circumference formula:

C = 2πr

Use the first formula to work out the value of C:

22 = πr*45/180πr/4 = 22πr = 88 2πr = 176C = 176 cm
Answer 2

Length of arc=L=22cm

We know

[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]

[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]

[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]

[tex]\\ \sf\longmapsto {2πr=176}[/tex]

[tex]\\ \sf\longmapsto Circumference=176cm[/tex]


Related Questions

Please answer srep by step if can!!​

Answers

Adding mixed number fractions is easy.
For example for the first one 1 1/2 the number 1 in large letter represents 2/2 so 2/2+1/2= 3/2
3/2 is equivalent to 1 1/2 but just with the whole number on the bottom added to the top.
However if 2 or more is the larges number times the number on the bottom by the large number and add it to the number already there.

If you have money 50000, so you give your money to your friend in 49999 how much does money rimend

Answers

Ima think you meant how much you have left, and that would be 1

The patio on the landscaping blueprint measures 2 inches wide and 5.5 inches long.If the actual patio is going to have a width of 20 feet, what would its length be?

Answers

Answer:

55 feet

Step-by-step explanation:

simple 5.5 x 10

Answer:

660 inches or 55 feet

Step-by-step explanation:

20 feet * 12 = 240 inches

2/5.5 = 240/×

2x = 240 * 5.5

2x= 1320

x=660 inches

660 inches ÷ 12 = 55 feet

What is true about angle ∠APD?

Answers

Answer:

HEY MATE FIRST OF ALL THE QUESTION  IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !

Step-by-step explanation:

IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER  .

What is true about angle ∠APD?

It is to angle Angle A P C.

It is to angle Angle C P B.

SOLUTION :

Answer: It is supplementary to angle Angle A P C.

It is vertical to angle Angle C P B.

 I hope this help :)

Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow

Answers

I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700

what is 12.5% of 10 kg in grams​

Answers

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

Answer:

1250 grams

Step-by-step explanation:

[tex] \frac{12.5}{100} \times 10kg = x \: grams[/tex]

[tex]1.25kg = 1250 \: grams[/tex]

What is the measure of n

Answers

Answer:

n = [tex]\sqrt{32}[/tex]

Step-by-step explanation:

The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion

[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )

n² = 32 ( take the square root of both sides )

n = [tex]\sqrt{32}[/tex]

What is the measure of ABC?

Answers

Answer:

63

Step-by-step explanation:

Hi there!

In order to find the answer to this question we must know about:

The angles of intersecting chords theorem

The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.

Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )

Angle ABC intercepted arc is AC

Hence Angle ABC = 1/2 ( arc AC + arc ED)

Arc ED = 44 and arc AC = 82

Thus, angle ABC = 1/2(82 + 44)

82 + 44 = 126

126/2=63

Hence Angle ABC = 63

Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5

Answers

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

#SPJ2

What is the value of x that makes the given equation true?
2(x−8)=x+5x

a x=-4
b x=-16
c x=-2
d x=0

Answers

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{2(x-8)=x+5x }[/tex]

[tex]\sf{2x-16=6x }[/tex]

[tex]\sf{2x-6x=16 }[/tex]

[tex]\sf{-4x=16 }[/tex]

[tex]\sf{ x=\dfrac{16}{-4} }[/tex]

[tex]\sf{x=-4 }[/tex]

[tex]\sf{ }[/tex]

Lorraine writes the equation shown.

x squared + y minus 15 = 0

She wants to describe the equation using the term relation and the term function.

The equation represents

Answers

Answer:

xy is equal to 15 Q understood

Answer:

Its A

Step-by-step explanation:

evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain​

Answers

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

write the equation of a circle who’s center is (6,-7) and who’s radius is 4

Answers

Answer:

(x-6) ^2 + (y+7)^2 = 16

Step-by-step explanation:

We know the equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-6) ^2 + (y- -7)^2 = 4^2

(x-6) ^2 + (y+7)^2 = 16

How to solve ? What is the answer?

Answers

Answer:

L = [tex]\sqrt{52^2 + 30^2}[/tex]

L = 60.033

Step-by-step explanation:

2. If f(x) = 2x2 – 7x -10, find the following: a) f(x-1) b) x, if f(x) = 5 Please helpppppp


Answers

Answer:

a) f(x-1) = 2x^2-11x-1

b) x = -1.5 or 5

Step-by-step explanation:

a) To get f(x-1)

We proceed to substitute x-1 for x as follows

f(x-1) = 2(x-1)^2 -7(x-1) -10

f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10

f(x-1) = 2x^2 -4x + 2 -7x + 7-10

f(x-1) = 2x^2-11x-1

b) What we have to do here is substitute 5 for f(x) and solve for x

5 = 2x^2 -7x-10

2x^2 -7x -10-5 = 0

2x^2 - 7x - 15 = 0

2x^2 -10x + 3x -15 = 0

2x(x-5) + 3(x-5) = 0

(2x + 3)(x-5) = 0

2x + 3 = 0 or x -5 = 0

2x = -3 or x = 5

x = -3/2 or x = 5

x = -1.5 or 5

Find the sum of the arithmetic sequence: -94, -112, -130,...; S10

A) 1280
B)-1280
C)-130
D) -1750

Answers

Answer:

D) -1750

Step-by-step explanation:

[tex]{ \boxed{ \bf{sum = \frac{n}{2}(2a + (n - 1)d) }}}[/tex]

n is number of terms, n=10.

a is first term, a=-94

d is common diffrerence, d = -112-(-94) = -18

[tex]{ \sf{sum = \frac{10}{2} ( - 188 + (10 - 1) \times - 18)}} \\ { \sf{sum = - 1750}}[/tex]

f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?

Answers

Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

What is the slope of the line shown below?
ОА. - 17
(5, 1)
X
O B. -4
-5
5
(-3,-1)
O c. 4
-5
O D.
1
4

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime

Answers

I'll do problem 1 to get you started.

set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}

there are 7 items in set A, so we can say n(A) = 7

set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}

Here we have n(B) = 5

set C = multiples of 3 and 5, between 5 and 25 = {15}

n(C) = 1 which we can rewrite as n(A and B) = 1.

-----------------------------------------

To summarize so far,

n(A) = 7n(B) = 5n(A and B) = 1

From those three facts, then we can say,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 7 + 5 - 1

n(A or B) = 11

There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.

Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}

This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}

So we have 11 values we want out of 21 overall, which leads to the probability 11/21

Final Answer:   11/21

Answer:

Solution given:

total outcomes between 5 to25 inclusive

n[T]=25-5+1=21

multiple of 5n[5]=5,10,15,20,25=5

multiple of 3n[3]=6,9,12,15,18,21,24=7

now

probability of getting multiple of 5p[5]=5/21

and

probability of getting multiple of 3 p[3]=7/21=1/3

again

the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7

the probability that the number is a multiple of 5 or 3 is 4/7.

2:

.Good Limes n[GL] =10

Good Apples n[GA]= 8

Bad Limes n[BL] = 6

Bad Apples n[BA]= 6

total fruits n[T]=10+8+6+6=30

no of good apple n[G]=10+8=18

no of bad apple n[B]=6+6=12

again

I. Both are good limes

=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]

=10/30*9/29=3/29

II.Both are good fruits

=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]

=6/30*5/29=1/29

III. One is a good apple and the other a bad lime

=n[G]/n[T] *n[B]/(n[T]-1)

=18/30*12/29=36/145

15. Madison invested in a certificate of deposit for 4 years at a 6% interest rate. At the end of the 4 years, the value
of the certificate of deposit was $3,100. How much did Madison deposit originally?

Answers

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

please I really need help with this

Answers

Answer:

24

Step-by-step explanation:

(1+25) - (16)(1/8)

26 - 2

24

Cheers

Answer:

24

Step-by-step explanation:

(1+5^2) -16 ( 1/2)^3

PEMDAS

Parentheses first

Exponents in the parentheses

(1+25) -16 ( 1/2)^3

Then add in the parentheses

(26) -16 ( 1/2)^3

Then exponents

(26) -16 ( 1/8)

Then multiply

26 - 2

Then subtract

24

HELP QUICK PLEASE!

Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side

Answers

Answer:

Step-by-step explanation:

Side - side - side. In fact the two triangles have the side CD in common

simplify 6÷[5{6÷(5-2)}]

answer correctly i will give brainliest.

Answers

Answer:

hope this helppppp youuu

the answer is 0.6 :)

Which of the following are square roots of the number below? Check all that apply.

36

Answers

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

Segment addition and midpoints.

Answers

Answer:  17

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

------------

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

These slopes are linear.
Find the slope.

Answers

Answer:

The slope is 1

OAmalOHopeO

Answer:

1

Step-by-step explanation:

when x is 1 y is one

aint the answer for this 10 just let me if im wrong​

Answers

Answer:

Yup

Step-by-step explanation:

Classify the following triangle. Check all that apply.

Answers

The answers are E & F

See the photo attached to view the classifications of triangles.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Please help me out with this one!

Answers

Are you sure you need this it’s summer

Answer:

87 in^2

Step-by-step explanation:

24 + 18 + 15 + 30

the 30  is 2(1/2 * 5 * 6)

Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help

Answers

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

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