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artcher [175]
3 years ago
13

Write the sum without sigma notation. then evaluate. summation from k equals 1 to 5 cosine k pi

Mathematics
1 answer:
erastova [34]3 years ago
5 0

summation from k equals 1 to 5 cosine k pi

= Cosine 1*∏ + Cosine 2*∏ + Cosine 3*∏ + Cosine 4*∏ + Cosine 5*∏

= -1 + 1 + -1 + 1 + -1

= -1

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In isosceles ΔABC, AC = BC, AB = 6 in, CD ⊥ AB, and CD = 3 in. Find the perimeter of the isosceles triangle.
Hoochie [10]

Answer:

Step-by-step explanation:

Consider the given triangle ABC, we have AC = BC, AB = 6 in, CD ⊥ AB, and CD = 3 in. Using ΔCDB, we have

(CB)^{2}=(CD)^{2}+(DB)^{2}

(CB)^{2}=(3)^{2}+(3)^{2}

CB=\sqrt{9+9}

CB=\sqrt{18}in

Therefore, CB=CA=\sqrt{18}in (Given)

Now, Perimeter of an isosceles triangle is given By: 2a+b

⇒2(\sqrt{18})+6=2(4.24)+6=8.48+6=14.48in

which is the required perimeter of isosceles triangle.

6 0
3 years ago
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sashaice [31]

Answer:

3a^{4} - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

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5 0
3 years ago
AHHHHHHHHHHHHHHHHHHHH
SIZIF [17.4K]

Answer and Step-by-step explanation:

THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.

<u>The unit rate is D. $4.00 per pound.</u>

This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

6 0
3 years ago
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y2z) A. -12 B. -6 C. 1 D. 6
Free_Kalibri [48]
To determine the value of the given algebraic expression above, we simply substitute the values of each variable to the variables in the expression and evaluate the expression. We do as follows:

6x(y^2)(z)
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6(0.5)((-1)^2)(2)
3(1)(2)
6

The value of the algebraic expression would be 6. An algebraic expression consists of variables which are represented with letters like for this case x, y and z, a coefficient which is indicated by numbers (e.g. 6 ) and exponents like 2 for the expression above. Often times expressions contains a number of terms which consists of those elements.
4 0
3 years ago
Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Just
rodikova [14]

Answer:

no , 1 , 3 and 4 are expressions as they don't have an equal sign .

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3 years ago
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