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3 years ago

What is the series in Expanded Form?

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8

Step-by-step explanation:

Given:

To Find:

∑₁⁸i =?

Solution:

Σ This symbol called Sigma means "summation up"

∴ ∑ n mean sum for all n

But if ∑₁³n means Sum for n=1 , 2 ,and 3 ADD

∴ ∑₁³n = 1 + 2 + 3

∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8

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A company makes traffic signs.One of their signs can be modeled by an equilateral triangle with a perimeter of 144 inches. The c

Mars2501 [29]

Answer:

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation:

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4 years ago

LMNP is rotated 90 degrees around the origin. What are the coordinates of L'?

PSYCHO15rus [73]

Answer:

D) L’ (1,0)

Step-by-step explanation:

D) L’ (1,0)

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4 years ago

Read 2 more answers

Find the values of both x and y?

dlinn [17]

$Answer: \\ 2x + 3y = 12 \: \vee \: 30x + 11y = 112 \\\Leftrightarrow 30x + 45y = 180 \: (1)\: \vee \:30x + 11y = 112 \: (2) \\ (1) - (2)\Rightarrow 34y = 68\Rightarrow y = 2 \\ 2x + 3 \times 2 = 12\Rightarrow x = 3$

8 0

3 years ago

Write a polynomial function of least degree with integral coefficients that have the given zeros. 4,-1,6 f(x)=x^3-9x^2+14x+24

AlladinOne [14]

Answer:

see explanation

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b, x = c

Then (x - a), (x - b), (x - c) are it's factors

and the polynomial is the product of the factors

here x = 4, x = - 1, x = 6, hence

(x - 4), (x + 1) and (x - 6) are the factors

f(x) = a(x - 4)(x + 1)(x - 6) ← a is a multiplier

let a = 1, then expanding the first pair of factors

f(x) = (x² - 3x - 4)(x - 6) ← expand out the factors

= x³ - 3x² - 4x - 6x² + 18x + 24 ← collect like terms

= x³ - 9x² + 14x + 24

8 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago