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tankabanditka [31]
3 years ago
14

1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ...... Find the value Thank you!

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Step-by-step explanation:

The sum of consecutive squares is

1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)

Therefore

1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455

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rosijanka [135]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
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Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2
andriy [413]
You can use factors to solve.  Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!


Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w  Substitute (2 + w) for l

24 = (2 + w)w  Substitute 24 in for the area

24 = 2w + w^2  Distribute

w^2 + 2w - 24 = 0  Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0  Factor

w + 6 = 0  and w - 4 = 0    Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length!  So the width must be 4 and the length will be 4 + 2, which is 6.

5 0
3 years ago
I really need help please! Number 5!! (Factoring)<br><br> Please show how you got it.
Citrus2011 [14]

Answer:

(4×-3)(2x-1)

Step-by-step explanation:

8x²-10x+3

8x²-4x-6x+3

4x(2x-1)-3(2x-1)

(4×-3)(2x-1)

7 0
2 years ago
Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congr
Sonbull [250]

Answer:

<em>Yes, but only if BC ≅ DC; Option B</em>

Step-by-step explanation:

There are 4 possible ways to determine whether two triangles are congruent, and they are the following ;

ASA ( Angle - Side - Angle ),

SAS ( Side - Angle - Side ),

AAS ( Angle - Angle - Side ), and

SSS ( Side - Side - Side )

It is known here that we must prove these triangles congruence through SSS. A triangle can thus be made possible through the congruence of corresponding sides;

Now if we were to create these triangles it would be that BC and DC are, if the triangles were to coincide with one another, the apparent same length if it were that these two Δs really are ≅. Thus;

<em>Solution; Yes, but only if BC ≅ DC</em>

5 0
3 years ago
What is the surface area of the triangular prism?<br> In square feet
vampirchik [111]

Answer:

The surface of the triangular prism is 12 ft

Step-by-step explanation:

To find the surface area you have to multiply the base and the height and divide the product by 2

6 ft= base

4 ft= height

6 x 4 = 24

24 divided by 2 = 12

6 0
3 years ago
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