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2 years ago

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

Mathematics

2 answers:

Harrizon [31]2 years ago

7 0

Answer:

C. 6

Step-by-step explanation:

lawyer [7]2 years ago

5 0

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + n
S = 42, n = ?

Substitute and solve for n:

42 = n² + n
n² + 2*1/2n + 1/4 = 42.25
(n + 0.5)² = 42.25
n + 0.5 = √42.25
n + 0.5 = 6.5
n = 6

Correct option is C

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pentagon [3]

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

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C = 1.8C + 32 Subtract 1.8 C from each side

C – 1.8 C = 32 Combine like terms

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C = -32/0.8

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lozanna [386]

Answer:

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Step-by-step explanation:

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3 years ago

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djyliett [7]

Answer:

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3 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ PS = \frac{4}{3} x$

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

Triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

$$\frac{PS}{SR} =\frac{PT}{TQ}$

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Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

$$ PS = \frac{4}{3} x$

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3 years ago

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balu736 [363]

Answer:

you need the formula for the cone , Korc

Step-by-step explanation:

formula for cone = $\frac{1}{3}$ *π* $r^{2}$ *h

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3 years ago