let x be a connected subset of metric space m. if x is connected. is the interior of x necessarily connected?

Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

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Answer:

(10, 0)

Step-by-step explanation:

(x2 + x1/2  , y2 + y1/2)

[10 + 10 / 2  ,  1 + (-1) / 2]

(20/2  , 0/2)

(10, 0)

Answer:

A = $1,871.77

Step-by-step explanation:

A = P(1 + r/n)nt

Where,

A = Total money in the bank

P = principal = $1,600

r = interest rate = 4% = 0.04

n = number of periods = 1 year

t = time = 4 years

A = P(1 + r/n)^nt

A = 1,600(1 + 0.04/1)^1*4

A = 1,600(1 + 0.04)^4

= 1600(1.04)^4

= 1600(1.16985856)

= 1,871.773696

Approximately,

A = $1,871.77

Answer:

maybe the answer is umm 0.75?? hope that works

Answer:

0.8

Step-by-step explanation:

3/4 = 0.75

to 1d.p = 0.8

Answer:

53 mph

Step-by-step explanation:

Answer: She would be going 53 mph

Step-by-step explanation:

you take 265 and divide it by the 5 hours

leaving you with 53 mph

Answer:

Step-by-step    

The metric system, with its decimal nature, is a highly efficient and convenient measurement system for making calculations. Compared to other measurement systems, it allows for faster and easier computations, which is a significant advantage. Moreover, using the metric system provides increased accuracy, which is essential in various fields where precision is critical. Overall, the metric system is a reliable and practical option for anyone who needs to make accurate and efficient calculations.

Step-by-step explanation:

this study is about bullying cases to our school, we all thanks to support and guide us to do this research,

with the help of our group members and the leader to finish this research

b

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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Answer:

1330.5 cm³

Step-by-step explanation:

To find the volume you want to find the area of the circle and then times this  by 14 which is the length of the shape

Area of circle = πr²

11 = the diameter so 5.5 = radius

5.5² x π = 121/4 π

times this by 14 to get  1330.464489 cm³

to 1dp = 1330.5 cm³

Answer:

1330cm³ (rounded to 3 s.f.)

Step-by-step explanation:

The formula of finding the volume of a cylinder is: \(\pi\) × r² × h

r is the radius of the cylinder, which is also half of the diameter.

You know the diameter is 11cm and the height (h) is 14cm.

Volume of cylinder = \(\pi\) × (11÷2)² × 14

                                = \(\pi\) × 5.5² × 14

                                = \(\pi\) × 30.25 × 14

                                = 423.5\(\pi\)

                                = 1330cm³ (rounded to 3 s.f.)

Answer:

Shop A = 113 pence

Shop B = 101 pence

Step-by-step explanation:

Given :

Shop A :

5kg for £5.65

Shop B:

2kg for £2.02

Price per kg :

weight / price

100 pence = £1

Shop A :

Price of 1kg :

5.65 / 5 = £1.13 = 113 pence

Shop B:

2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence

Answer:

x = 36 , 2x = 72 , 3x = 108 , 4x = 144

Step-by-step explanation:

2x = P+Q      (ΔABC, exterior angle property)

4x = R+S       (ΔDBC, exterior angle property)

4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x)  (supplementary)

6x = 360 - 4x

10x = 360

x = 36

2x = 72

3x = 108

4x = 144

check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360

Answer:

\( \boxed{\sf C. \ 161 ^{ \circ}} \)

Step-by-step explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

\( \sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ} \)

\( \therefore\)

\( \sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ} \)

Answer: 94 degrees

Step-by-step explanation:

Answer: (\(\frac{-5 +\sqrt{5} }{2}\), 0), (\(\frac{-5 -\sqrt{5} }{2}\), 0)

Step-by-step explanation: Let me know if you need an explanation.

The possible approximate lengths of b are: 2.3 units and 7.8 units

We know that the law of sines for triangle is:

The ratios of the length of all sides of a triangle to the sine of the respective opposite angles are in proportion.

This means, for triangle ABC,

\(\frac{sin~ A}{a} =\frac{sin~B}{b} =\frac{sin~ C}{c}\)

where a is the length of side BC,

b is the length of side AC,

c is the length of side AB.

For triangle ABC consider an equation from sine law,

\(\frac{sin~ A}{a} =\frac{sin~ C}{c}\)

here, c = 5.4, a = 3.3, and m∠A = 20°

\(\frac{sin~ 20}{3.3} =\frac{sin~ C}{5.4}\\\\\frac{0.3420}{3.3} =\frac{sin~ C}{5.4}\)

0.3420 × 5.4 = 3.3 × sin(C)

sin(C) = 0.5596

∠C = arcsin(0.5596)

∠C = 34.03°  OR 145.9°

∠C ≈ 34° OR 146°

We know that the sum of all angles of triangle is 180 degrees.

so, ∠A + ∠B + ∠C = 180°

when m∠C = 34°,

20° + ∠B + 34.03° = 180°

∠B = 125.97°

m∠B = 126°

when m∠C = 146°,

20° + ∠B + 146° = 180°

m∠B = 14°

Now consider equation,

\(\frac{sin~ A}{a} =\frac{sin~ B}{b}\\\\\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 126^{\circ}}{b}\)

b × 0.3420 = 0.8090 × 3.3

b = 7.8 units

when m∠B = 14°,

\(\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 14^{\circ}}{b}\)

b × 0.3420 = 0.2419 × 3.3

b = 2.3 units

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The complete question is:

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

In ΔABC, c = 5.4, a = 3.3, and measure of angle A = 20 degrees. What are the possible approximate lengths of b? Use the law of sines to find the answer.

2.0 units and 4.6 units

2.1 units and 8.7 units

2.3 units and 7.8 units

2.6 units and 6.6 units

The Solution.

The correct answer is 2 right angles.

Answer:

There are 30 venomous snakes.

Step-by-step explanation:

Since its 30% you can assume that its a total of 100%. So, 100 snakes would be 100%. So the total of venomous snakes are 30 total snakes. Hope this helped!! :D

Answer: 81 people

Step-by-step explanation:

Number of people that attended fair on Saturday = 6737

Number of people that got free admission = 6737/188 = 35.8.

Free admission on Saturday = 35

Number of people that attended fair on Saturday = 8669

Number of people that got free admission = 8669/188 = 46.1

Free admission on Sunday = 46

The people who received a free admission over the two days will be:

= 35 + 46

= 81 people

Therefore, there are 4,060 different combinations of three-person dance committees that can be selected from a class of 30 students.

To calculate the number of different combinations of three-person dance committees that can be selected from a class of 30 students, we can use the concept of combinations. The number of combinations of selecting r items from a set of n items is given by the formula:

C(n, r) = n! / (r! * (n - r)!)

In this case, we want to select three students from a class of 30, so we have:

C(30, 3) = 30! / (3! * (30 - 3)!)

Calculating this expression:

C(30, 3) = 30! / (3! * 27!)

= (30 * 29 * 28) / (3 * 2 * 1)

= 4060

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I think it is W(week)...........

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

Correct: e, b, g

incorrect: c, a

Step-by-step explanation:

The angle adjacent (across from) to the given angle is the same as the given angle. So that means that f=128.

360° in a circle

128+128=256 degrees taken in the circle

360-256=104 degrees remaining in the circle

c and e are adjacent so we know they're the same. We can divide the remaining degrees by 2.

104/2=52

c=52, e=52

Assuming the two lines are parallel, because they have the same line intersecting them, the bottom degrees are the same as the top.

b=128, g=52, h=128, a=52

Answer:

Step-by-step explanation:

sum of the first 8 terms of the geometrical progression is 255.

geometrical progression  it is the sequence of non-zero number where any element after the first is obtained by multiplying the preceding element by a constant number which referred as common ratio.

here sequence is 1,2,4,8.. so common ratio is 2 because each no is multiple of 2.

now we consider the first element as "a" and common ratio as "r "and no of terms as" n

so a=1,r=2,n=8

sum (S8)=A1(R^n-1)/(r-1)

sum=1((2)^8-1)/2-1

 sum =255/1

  sum=255

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Answer:

A = 147°

B = 33°

Answer:

a

2

​

=9a+b

2

​

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a²+b²)²=(a²-b²)²+4a²b²=(a²-b²)²+4(ab)²=9²+4×3²=9²(1+4)

a²+b²=3√5

(a+b)²=a²+b²=2ab=3√5+2(3)=3(2+√5)

a+b=√3√(2+√5)

Total time = 2 hours

Time playing video games = 50 minutes

We have to write an equation:

Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes

Time must be in the same unit ( minutes)

since 60 minutes =1 hour

2 hours = 2 (60) =120 minutes

Back with the equation:

120 x = 50

Solving for x

x = 50/120

x = 0.42

In percentage form:

0.42 x 100 = 42%

The value of tanQ can be find by the formula  \(\frac{sin\theta}{cos\theta}=tan\theta\)

Table 0 to 360 of trigonometry: The study of the relationship between a triangle's length and angles is the subject of trigonometry, a branch of mathematics. It typically has a right-angled triangle with one angle that is always 90 degrees. It has a plethora of uses in various branches of mathematics. The table of trigonometric functions and formulas can also be used to quickly determine the results of many geometric calculations.

We can find all the trigonometry value of given angle by using the formula  \(\frac{sin\theta}{cos\theta}=tan\theta\)

angle           cos∅          sin∅        tan ∅

-π/2               0                -1             infinity

-π/3                0.5            -0.87       -1.74

-π/6               0.87          -0.5          -0.57

0                      1               0               0

π/6                  0.87        0.5              0.57

π/3                   0.5           0.87         1.74

π/2                    0                1             infinity

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Answer: they are equal

To write a fraction as a percentage the easiest method is if we can change the denominator to 100.

#3/40 xx2.5/2.5 = 7.5/100 = 7.5%#

In many cases that method does not work,

so we can also do this by #xx 100%#

#3/40 xx 100%#

=#7.5%#

Step-by-step explanation:

Answer:

The difference between twice a number and a number that is 5 more than 3. Write an equation that could be used to find the value of the number n,

Answer:

2n-8

Step-by-step explanation:

twice a number = 2n

5 more than 3 is 8

difference means subtraction