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3 years ago

Can someone help me with this ASAP please I’m being timed

Mathematics

1 answer:

SOVA2 [1]3 years ago

3 0

Top right goes down five then up 5

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Explain why it works to break apart a number by place values to multiply

IrinaK [193]

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3 years ago

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What is the measure of < DBC

notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

Step(i):-

Given ∠ABC = 90°

In diagram ∠D B C + ∠A B D = 90°

6 x+5 + 8 x +1 = 90

14 x + 6 = 90

14 x = 90 -6

14 x = 84

x = 6

Step(ii):-

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

∠D B C = 41°

∠A B D = 8(6) +1 = 49°

∠D B C + ∠A B D = 41° + 49° = 90°

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2 years ago

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Convert 149g/cm to kilograms per meter

marishachu [46]

Set it up kind of like a picket fence. Put 149 g over one cm and multiply that by 1kg over 1000g then multiply that by 1 cm over .01 m. The answer is 14.9 kg/m

5 0

2 years ago

What is the result of adding -3x2 - 5x + 1 and 8x2 - 2x - 9

Fudgin [204]

(-3x^2 - 5x + 1) + (8x^2 - 2x - 9)

1st remove the parenthesis

-3x^2 - 5x + 1 + 8x^2 - 2x - 9

then combine like terms

5x^2 - 7x - 8 is the final answer

6 0

2 years ago

*Find the formula of the series 1+2²+3²+4²+....+n²*

Sophie [7]

The formula is $\frac{n(n+1)(2n+1)}{6}$

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let $S=1+2^2+3^2+4^2+................+n^2$

We know $(n+1)^3=n^3+3n^2+3n+1$

$(1+1)^3=1^3+3(1)^2+3(1)+1$

$(2+1)^3=2^3+3(2)^2+3(2)+1$

$(3+1)^3=3^3+3(3)^2+3(3)+1$

$(n+1)^3=n^3+3(n)^2+3(n)+1$

On adding

$2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)$

$2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)$

$(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n$

$n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n$

$2n^3+6n^2+6n=6S+3n^2+3n+2n$

$6S=2n^3+3n^2+n$

$6S=2n^2(n+1)+n(n+1)$

$6S=(n+1)(2n^2+n)$

$6S=n(n+1)(2n+1)$

$S=\frac{n(n+1)(2n+1)}{6}$

Hence, the formula is $\frac{n(n+1)(2n+1)}{6}$

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

3 0

2 years ago