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Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].

Then:

[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]

The clock chimes 132 times in a 24-h period.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

78.5 units²

Step-by-step explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

Answer:

heya! ^^

here , we've been given a right angled triangle along with the measure of two of its sides.

and , we've to find the measure of its third side.

so , we'll be using Pythagoras Theorem to find the measure of the third side.

but first , let's take a look at what Pythagoras Theorem is-

Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.

according to the figure ,

side AB = hypotenuse = 60 cm

side AC = perpendicular = 48 cm

side BC = base = a

now by using Pythagoras Theorem ,

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]

therefore ,

option ( 4 ) 36 is correct.

hope helpful :D

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]

Therefore,

Answer:

₹9900

Explanation:

Total sold : (41 + 59) = 100 watermelons

Amount earned : 100 * 99 = ₹9900

#Thursday

Money earned=41(99)

#Friday

Money earned

Total:-

5841+4059=$9900

35% are in display cases which means 65% are on the wall.

this means 195 cars is 65% of the collection.

to get total number of cars in the collection divide 195 by 65%

195/0.65 = 300

answer: 300 total cars

Answer:

Step-by-step explanation:

Make the x-values same and solve for m

Let's see

x must be equal on both sides as it's not a function

Answer:

The question is not showing what we are supposed to find.

b+3b+10

Answer:

(-5, - 10 )

Step-by-step explanation:

y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6

under a reflection in this line the x- coordinate of the point V is the same

V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6

the reflected point will therefore be 4 units below y = - 6, that is - 10 , then

V (- 5, - 2 ) → V' (- 5, - 10 )

Answer:

C

Step-by-step explanation:

Find area of all trinagles and subtract that by total area of square.

Answer:

Trapezoid

Explanation:

A trapezoid does not have two pairs of parallel sides.

Answer: D. Trapezoid

Step-by-step explanation:

Answer:

600 cm squared :)

Step-by-step explanation:

Surface area of cube: 6 x s^2

Now lets solve!!

6 x 10^2

6 x 100

600

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Guiding Statement

You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.

Formula

Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.

Solution

x^2 = 72                        Factor 72 into prime factors.

x^2 = 8 * 9

x^2 = 2 * 2 * 2 * 3 * 3    Take the square root of both sides.

√x^2 = √(2 * 2 * 2 * 3 * 3)  

Rule

For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.

√x^2 = √(2 * 2 * 2 * 3 * 3)

x = √(2 * 2 * 2 * 3 * 3)                 Apply the rule

x = 2 * 3 √2

x = 6√2

Now with y

a = 6√2

b = 12

c = y Use the Pythagorean Theorum

c^2 = a^2 + b^2

c^2 = (6√2)^2 + 12^2

c^2 = 36*2 + 144

c^2 = 72 + 144

c^2 = 216

c = 6 √6

answer

x = 6√2

y = 6√6

Answer:

Option D

Step-by-step explanation:

Given equation:

This equation can be solved by:

Subtracting 2 both sides of the equation (according to step 1):

Dividing -4 to both sides of the equation (according to step 2):

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

Answer:

x=238 plus 0

Step-by-step explanation:

think

Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Answer:

the amount of space a 3-dimensional object takes up

Step-by-step explanation:

Of the four definition options, the first is the only only that incorporates a three dimension explanation.  The others only describe a two dimension object.  Units for the first would be unit^3.  The other three would only be one-dimensional "units."

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