HELPPP ME PLEASEEEE asappp

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, [tex]a_n=480[/tex]

Let there are n terms in the AP.

So,

[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]

There are 20 terms in the series. The sum of 20 terms is :

[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]

So, the sum of the given arithmetic series is equal to 5040.

Answer:

cos2x=sinx

<=> 1-2sin^{2}x =sinx

solve and we have x=3pie/2, x=pie/6,x= 5pie/6

Step-by-step explanation:

Answer:

812 in²

Step-by-step explanation:

The area (A) is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 29 and h = 28 , then

A = 28 × 29 = 812 in²

Answer : B

Step-by-step explanation:

Ape

The statement which is true is  KM = 2 .JM, the correct option is C.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

AJKL is an equilateral triangle

Now,

Using these properties, we can eliminate some of the options.

Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.

Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.

Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.

Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:

KM^2 = AK^2 - AM^2

KM^2 = (AK/2)^2 - (AL/4)^2

KM^2 = (AK/4)^2 + (AL/4)^2

KM^2 = ((AK + AL)/4)^2

Since AK + AL = 2 * JL,

KM^2 = (JL/4)^2 * 4

KM^2 = (JL/4)^2 * 4

KM = JL/4 * 2

KM = JL/2

Therefore, the answer of the triangle will be KM = 2 * JM.

Learn more about a right triangle;

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No Betty would have sold at least 5 cookies.

We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.

It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.

Answer:

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.

Answer:

??????

Step-by-step explanation:

Answer:

The radius of the circle is 2 units.

Step-by-step explanation:

The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

a linear expression is the form

[tex]y = mx + b[/tex]

Answer:

[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

Answer:

6/7 or 85.7 percent

Step-by-step explanation:

First, you will want to add all of the candies together and find the sum

Then you will want to take away the Lemon candies as you are looking for the probability of NOT choosing those,

so at this point, you should have 12 take that 12, and put it over the total number, so 12/14 then either simplify, or switch to a percentage, or both, and there is your answer.

Option c: It has a constant rate of change.

Answer:

x = 5 or -2

Step-by-step explanation:

The general quadratic formula is expressed as;

ax²+bx+c = 0

Given

x² - 3x -10 = 0

a = 1, b = -3 and c = -10

x = -(-3)±√(-3)²-4(1)(-10)/2(1)

x = 3±√9+40/2

x = 3±√49/2

x = 3±7/2

x = 3+7/2 or 3-7/2

x = 10/2 or -4/2

x = 5 or -2

By Factorization

x² - 3x -10 = 0

x² - 5x+2x -10 = 0

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

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

x - 5 =0 and x+2 = 0

x = 5 or -2

Answer:

the remaining angle will be 32

cz angle bisector cuts an angle in two equal parts hooe it may help u

Answer:

The length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Step-by-step explanation:

We are given that

Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]

1 byte=9 microns

[tex]1micron=10^{-6}m[/tex]

We have to find the  length of the complete track in m.

We change MB into  micron

[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]

=[tex]7200\times 20^{20} microns[/tex]

Now, we change micron into m

[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]

=[tex]7.549\times 10^{23} m[/tex]

Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

Answer:

Sam is incorrect.

Step-by-step explanation:

Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.

Answer:

Sam is incorrect.

Step-by-step explanation:

Sam is incorrect. By using the Pythagorean theorem, we can find out what each diagonal is equal to.

Starting with diagonal SQ...

6^2 + 12^2 

= 36 + 144

= 180

Square root of 180?

= 13.41

Diagonal OM...

6^2 + 6^2 

= 36 + 36

=  72

Square root of 72?

 = 8.48

Therefore, Sam is incorrect because 8.4 isn't half of 13.4.

This value is approximate.

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

Work Shown:

area = 0.5*side1*side2*sin(included angle)

area = 0.5*AB*AC*sin(A)

area = 0.5*11*18*sin(55)

area = 81.0960523846101

area = 81.1 cm^2

The cm^2 refers to "square cm".

Notice that the angle must be between the two sides, hence the "included".

Answer: the root of 145 so b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

9^2 + 8^2 = c^2

81 + 64 = c^2

144 = c^2

[tex]\sqrt{144}[/tex] = c

Remember, C is always the hypotenuse, or the longest side. A and B can be either base.

Answer:

Step-by-step explanation:

1)

∠1 = ∠2     {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180  {angle sum property of triangle}

2x + 55 = 180

        2x = 180 - 55

        2x = 125

          x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55         {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180        {linear pair}

∠4 = 180 - 105

∠4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

    55 + 75 +∠5 = 180

            130 + ∠5 = 180

                     ∠5 = 180 - 130

∠5 = 50

Answer: one solution.

Step-by-step explanation:

[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]

This equation has one solution:  x = 6.

Answer:

15m

Step-by-step explanation:

did the math

Answer:

Option (1)

Step-by-step explanation:

Equation of the given wave function,

f(x) = acos(bx)

Here, a = amplitude of the wave

Period of the wave = [tex]\frac{2\pi }{B}[/tex]

From the graph attached,

Amplitude = [tex]\frac{4-(-4)}{2}[/tex]

                 = [tex]\frac{4+4}{2}[/tex]

                 = 4

Period of the wave = π - 0

                                = π

From the formula of the period,

Period = [tex]\frac{2\pi }{b}[/tex]

[tex]\pi =\frac{2\pi }{b}[/tex]

b = 2

Therefore, a = 4 and b = 2.

Option (1) will be the answer.

Answer:

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Step-by-step explanation:

[tex] 2^x = 7^{x + 1} [/tex]

Take the log of both sides.

[tex] \log 2^x = \log 7^{x + 1} [/tex]

Use properties of log.

[tex] x \log 2 = (x + 1) \log 7 [/tex]

[tex] x \log 2 = x \log 7 + \log 7 [/tex]

[tex] x \log 2 - x \log 7 = \log 7 [/tex]

[tex] x(\log 2 - \log 7) = \log 7 [/tex]

[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]

[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Answer:

you nepali me nepali all are nepalese nepalese are only unintelligent

Answer:

Ty

Step-by-step explanation:

Answer:

angle IGH = 50 degree

Step-by-step explanation:

triangle GHI is an isosceles triangle because it's two sides are equal.

if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.