What is the length of leg s of the triangle below?
45°
√32
45⁰
4
A. 4
B. 16
C. √32
D. 1.5
E. 2.2
F. √4

2. 7/10 ÷ 1/5 = 7/2

7/10 × 5 = 1/2

hope it helps u

The limit of the nth term of a sequence does not exist option (D) is correct.

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have an expression:

[tex]= \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]

Applying limit:

[tex]= \lim_{n \to \infty} \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]

[tex]=\lim _{n\to \infty \:} n \left(\dfrac{2+\dfrac{25}{n^3}+\dfrac{32}{n^4}-\dfrac{15}{n^5}}{6+\dfrac{2}{n}-\dfrac{11}{n^2}-\dfrac{2}{n^3}+\dfrac{17}{n^4}}\right)[/tex]

= ∞ = The limit does not exist

Thus, the limit of the nth term of a sequence does not exist option (D) is correct.

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Rationalizing the numerator, it is found the result of the limit is given as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{1}{2\sqrt{x}}[/tex]

A limit is given by the value of function f(x) as x tends to a value.

The first step to find the limit is replace the variable by the value, hence:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{0}{0}[/tex]

Undefined limit, hence we have to find another way. The numerator includes square roots, hence it should be rationalized using the subtraction of perfect squares, as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} \times \frac{(\sqrt{x + h} + \sqrt{x})}{(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{(\sqrt{x + h})^2 - (\sqrt{x})^2}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{x + h - x}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{h}{h(\sqrt{x + h} + \sqrt{x})}[/tex]

Then we simplify the h, so:

[tex]\lim_{h \rightarrow 0} \frac{1}{\sqrt{x + h} + \sqrt{x}} = \frac{1}{2\sqrt{x}}[/tex]

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Answer:

4064265.104

Step-by-step explanation:

Use PEMDAS :

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

We only have multiplication and addition/subtraction to do. Multiplication and Division can go in either order depending on which comes first reading left to right. It's the same with Addition and Subtraction: we will first subtract 918 and then add 12.5.

Let's start by Multiplying. 391.92 x 10372.45 = 4065170.604.

Now, subract 918. 4065170.604-918 = 4064252.604.

Finally, add back 12.5. 4064252.604. +12.5 = 4064265.104 !

Based on the given probability events, we can calculate that Events A and B are independent, because P(B) = P(B|A) = 1/2.

Events are independent if P(B) = P(B|A)

The probability of event B is:

= 3 odd numbers / 6 numbers

= 1 / 2

The probability of A is:

= 3 prime numers / 6

= 1/2

P(B|A) = ((1 / 2) x (1 / 2)) / (1 / 2)

= 1/2

So P(B) = P(B|A) = 1/2.

The events are independent.

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Answer:

No

Step-by-step explanation:

I will not do hard questions

Answer:

75

Step-by-step explanation:

you need to divide numbers by 3

3×25=75

Answer:

147

Step-by-step explanation:

Arithmetic sequence:

  a = first term = 3

  d = common difference = second term - first term

     = 9 - 3

  d = 6

  n = 25

  [tex]\sf \boxed{\bf n^{th} \ term = a + (n-1) d}[/tex]

                   = 3 + (25 - 1)*6

                   = 3 + 24*6

                    = 3 + 144

                    = 147

The total length of the wire needed to make this shape is 162cm

The perimeter of a triangle is the sum of the external side of the triangle.

Given the following parameters

Length of one side of the outside shape = 24cm

The side length of the smaller triangle = 24/4 = 6cm

The perimeter of the smallest triangle  3(6) = 18cm

The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm

Total length of wire needed. = 3(24) + 3(18) + 36

Total length of wire needed = 72 + 54 + 36

Total length of wire needed = 162cm

Hence the total length of the wire needed to make this shape is 162cm

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Answer:

I did 700 - 15% times that answer by 6 and u get that big answer.

The required amount Ahmet needs to pay after 6 years is $1619.14.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a  , n = compounding frequency

Here,

From the given data,
P = 700, r = 15% and t = 6 (n =1)

Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14

Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.

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Answer:

134

Step-by-step explanation:

the "nth" term of a sequence means that you can plug in the term number to get the term value

so, if

  11n + 2 is the sequence

  11(12) + 2 is the 12th term

  132 + 2 is the 12th term

  134 is the 12th term

By plugging in the term "place" (1st, 2nd, 3rd, 4th, etc.) for the variable "n", we get a term value.

hope this helps!!

The 12th term of the sequence is 133

The nth term is given as:

Tn = 11n + 1

The 12th term is calculated as:

T(12) = 11(12) + 1

Evaluate

T(12) = 133

Hence, the 12th term of the sequence is 133

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Answer: 19

Step-by-step explanation:

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19

Answer:

12

Step-by-step explanation:

Direct Variation. I think it's gonna be like this.

SInce Z is not inversely to y , its varies directly to both.

Then it's,

Z=kxy, where k is constant.

subst. Z=6,x=2 and y=6.

6=k×2×6

6=k×12=12k

6=12k=½

the formula connecting them is

Z=½xy

Z=½×3×8

Z= 1×3×8÷2

Z=24÷2

Z=12.

That's my solution.

The gym location is (15th street, 14th Avenue). so the option D is correct.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location is 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home will be

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari will be

= (18th , 12th )

We know that

Gym distance = 2/3 × (18),  2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

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Answer:

48/field

you take 32÷4=8 and then you 8*6=48 each field

Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.

The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:

G = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

Hence the ground speed is given by:

G = 400 + 110 = 510 knots.

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Answer:

Good idea for thanks......

Answer:

l×b×h

50×10×20

10000cm^3

Step-by-step explanation:

please mark me as brainlest

Answer:

10000 cm³

Step-by-step explanation:

Volume of rectangular box:

         To find the volume of box,  multiply the length, width and height of the box and its unit is cubic units

         [tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]

                                                         = 50 * 1 0 * 20

                                                          = 10000 cm³

cos N = 14/20 = 0.70

The mean is  6394530.35 and the median is = 3355572.5

The missing data is attached in the answer.

Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.

Mean and Median is the measure of the central; tendency of the data.

Mean is given by

Sum of the observations/number of observations

= (741894 + 6931071....)/20

= 6394530.35

2) To find median

The data needs to be arranged in ascending order

Then the median is the middle number of the arranged data

Here the median is = 3355572.5

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Answer:

Step-by-step explanation:

AB = 51

AC = 120

BC = AC - AB

BC = 120-51

BC = 69 units

Answer:

C

Step-by-step explanation:

(1/4)^x-2 is the answer

For this question, I will be writing 'csc' instead of 'cosec'

[tex]\sin 30^{\circ}=\frac{1}{2} \implies \csc 30^{\circ}=2\\\\\sin 45^{\circ}=\frac{1}{\sqrt{2}}\\\\\cos 60^{\circ}=\frac{1}{2} \implies \sec 60^{\circ}=2\\\\\\\therefore \csc^{2} 30^{\circ}-\sin^{2} 45^{\circ}-\sec^{2} 60^{\circ}=2^{2}-\left(\frac{1}{\sqrt{2}} \right)^{2}-2^{2}=\boxed{-\frac{1}{2}}[/tex]

Answer:

Tax 3.78 $ and tip 7.56 $

Step-by-step explanation:

42*0.09 = 3.78

42*0.18 = 7.56

Answer:71

Step-by-step explanation:

71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5

A number system is defined as a system of writing to express numbers.

Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.

We need to find the number.

In division there are three parts the divider, dividend, quotient, and remainder.

Let us find the LCM of 8,9 and 6

LCM of 8, 9,6 is 72

72-1=71

Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5

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Answer:

The answer will be 38° + 32° = 70°

Please mark me as the brainliest

Answer:

the answer is B

Step-by-step explanation:

5th root of 32 = 2

5 / 5 = cancels

10 / 5 = 2

15 / 5 = 3

2xy²z³

Answer:

2xy^2z^3

Step-by-step explanation:

The amount of oil required for 1 liter of fuel is 111.11 mL.

Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.

Given that the fuel is the mixture where 8 parts are petrol and 1 part is oil in the whole part of the fuel.

The total part of the fuel is 8+1=9

the portion of the petrol is = parts of petrol/total parts of the fuel= 8/9

the portion of the oil = parts of oil /total parts of the fuel= 1/9

Now we have to calculate the amount of oil required for 1 liter of fuel.

As discussed before, 1/9 parts of the fuel is oil.

So the amount of oil is= (1/9)*1 liter= (1/9)litre= 1/9* 1000 mL= 111.11 mL

Similarly, we can calculate the amount of petrol which will be

the amount of petrol= (8/9)*1 liter= (8/9) liter= 8/9*1000 mL= 888.88 mL

Therefore the amount of oil required for 1 liter of fuel is 111.11 mL.

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