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3 years ago

PLS I NEED AN ANSWER ASAP PLS THIS IS RLLY IMPORTANT

Mathematics

1 answer:

dezoksy [38]3 years ago

8 0

Answer:

1st box 112

2nd box 112

3rd box sorry girl i don't know try get someone else to answer it i'm so sorry

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What is <br> 0.083 repeating as a fraction

Doss [256]

83/100 because after the decimal it represent an fraction it in hundrend place

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3 years ago

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Fill in the blank with the appropriate angle:

Ratling [72]

Answer:

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

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3 years ago

Use induction to show that 12 + 22 + 32 + ... + n2 = n(n+1)(2n+1)/6, for all n > 1.

dlinn [17]

Answer with Step-by-step explanation:

Let $P(n)=1^2+2^2+3^2+.....+n^2=\frac{n(n+1)(2n+1)}{6}$

Substitute n=2

Then $P(2)=1+2^2=5$

$P(2)=\frac{2(2+1)(4+1)}{6}=5$

Hence, P(n) is true for n=2

Suppose that P(n) is true for n=k >1

$P(k)=1^2+2^2+3^2+...+k^2=\frac{k(k+1)(2k+1)}{6}$

Now, we shall prove that p(n) is true for n=k+1

$P(k+1)=1^2+2^2+3^2+...+k^2+(k+1)^2=\frac{(k+1)(k+2)(2k+3)}{6}$

LHS

$P(k+1)=1^2+2^2+3^2+.....+k^2+(k+1)^2$

Substitute the value of P(k)

$P(k+)=\frac{k(k+1)(2k+1)}{6}+(k+1)^2$

$P(k+1)=(k+1)(\frac{k(2k+1}{6})+k+1)$

$P(k+1)=(k+1)(\frac{2k^2+k+6k+6}{6})$

$P(k+1)=(k+1)(\frac{2k^2+7k+6}{6})$

$P(k+1)=(k+1)(\frac{2k^2+4k+3k+6}{6})$

$P(k+1)=\frac{(k+1)(k+2)(2k+3)}{6}$

LHS=RHS

Hence, P(n) is true for all n >1.

Hence, proved

4 0

3 years ago

What is the sum of the infinite geometric series with a1=42 and r=6/5?

Cerrena [4.2K]

This infinite sum is given by

a
S = ------ but ONLY if r<1. Here, r>1, so the infinite sum does not exist.
1-r

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4 years ago

You are a dress maker and buy many of your fabrics overseas. You have been given a new design for a dress that each dress

pshichka [43]

Answer:

Total yards = 19.685 yards

Total cost = $442.9125

Step-by-step explanation:

Fabrics per dress = 1.5 meters

Number of dresses = 12

Total fabrics needed = 1.5 meters × 12

= 18 meters

Convert 18 meters of fabrics into yards

18 meters = 19.685 yards

Cost of fabric per yard = $22.50

Total cost of fabrics in yards = 19.685 yards × $22.50

= $442.9125

3 0

3 years ago