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Grace [21]
3 years ago
11

Help please I’m begging u

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

Step-by-step explanation:

if ∠1=∠2

2x+12=3x+3

3x-2x=12-3

x=9

∠1=2×+12=30°

∠2=30°

∠VXW=30+30=60°

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Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know ​I
Ray Of Light [21]

Let <em>S</em> be the sum of the integers 25-210:

<em>S</em> = 25 + 26 + 27 + … + 208 + 209 + 210

Let <em>S₃</em>, <em>S₄</em>, and <em>S₁₂</em> denote the sums of the integers in <em>S</em> that are multiples of 3, 4, or 12, respectively. We'll also count how many terms each sum involves; it'll be useful later.

<em>S₃</em> = 27 + 30 + 33 + … + 204 + 207 + 210 … … … (<u>62</u> terms)

<em>S₃</em> = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

<em>S₄</em> = 28 + 32 + 36 + … + 200 + 204 + 208 … … … (<u>46</u> terms)

<em>S₄</em> = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

<em>S₁₂</em> = 36 + 48 + 60 + … + 180 + 192 + 204 … … … (<u>15</u> terms)

<em>S₁₂</em> = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

Let's look at <em>S₃ </em>:

<em>S₃</em> = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

By reversing the order of the sum, we get

<em>S₃</em>* = 3 (70 + 69 + 68 + … + 11 + 10 + 9)

Of course <em>S₃</em> = <em>S₃</em>*, I'm just calling it something else temporarily. Notice that every term in the same position of either sum adds up the same number.

9 + 70 = 79

10 + 69 = 79

11 + 68 = 79

and so on. Then

<em>S₃</em> + <em>S₃</em>* = 3 (79 + 79 + 79 + … + 79 + 79 + 79)

or

2<em>S₃</em> = 3 × <u>62</u> × 79   ==>   <em>S₃</em> = 7,347

We can compute the other two sums in the same way.

<em>S₄</em> = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

<em>S₄</em>* = 4 (52 + 51 + 50 + … + 9 + 8 + 7)

==>   2<em>S₄</em> = 4 × <u>46</u> × 59  ==>   <em>S₄</em> = 5,428

<em>S₁₂</em> = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

<em>S₁₂</em>* = 12 (17 + 16 +15 + … + 5 + 4 + 3)

==>   2<em>S₁₂</em> = 12 × <u>15</u> × 20   ==>   <em>S₁₂</em> = 1,800

Then the sum you want is

<em>S₃</em> + <em>S₄</em> - <em>S₁₂</em> = 10,975

We subtract <em>S₁₂</em> because each of its terms is counted twice (once in <em>S₃</em> and again in <em>S₄</em>).

6 0
2 years ago
If the coefficient a in the general quadratic equation is equal to 9, what is the focal length for the
lutik1710 [3]

Answer:

9

Step-by-step explanation:

Let the equation of a parabola be

y^{2} = 4ax.

Then , focal length of the parabola is a.

As , (0,0) is the vertex and its focus is (a,0)

Thus, focal length comes out to be a.

Here,

a is given as 9 units .

Thus focal length of the parabola, d, equals to 9 units

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On an exam with μ = 52, you have a score of X = 56. Which of the following values for the standard deviation would give you the
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Answer:

​σ = 2 (option a)

Step-by-step explanation:

You would want the smallest standard deviation possible.

Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.

As opposed to being an average position if the scores were about                      49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.

So, a standard deviation of ​σ = 2 would give you the highest position in the class distribution.

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The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from h
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Answer:

c

Step-by-step explanation:

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3 years ago
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liza's friend marie bought her a dress for 250 euros in france. liza wants to pay marie for it in u.s. dollars. if the foreign e
Rudik [331]
1/ 0.6 = x / 250..1 dollar to 0.6 euros = x dollars to 250 euros
cross multiply
(0.6)(x) = (250)(1)
0.6x = 250
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8 0
3 years ago
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