can u find all angles

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Answer:

1. isosceles and acute

2. Scalene and acute

3. Equilateral and equiangular

4. Right (and isosceles ?)

(not sure ab isosceles for the last one but everything else is fine)

:)

Answer:

hb=4√3

Step-by-step explanation:

Answer:

AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

To find AB:

∆ABC is an 30,60,90∆

Using the theorem, you can find AB = 2AC = 2*4 = 8

AB = 8

To find HB:

You need to find AH to subtract from AB

Construct CH, a perpendicular bisector to side AB

From before you can put together that m∠CAB = 60°

∆ACH is an 30,60,90∆

Using this method again, AH = AC/2 = 4/2 = 2

Then you subtract AH from AB = 8-2 = 6

HB = 6

To find the area of ∆ABC:

You use the (base*height)/2 method

base = AB = 8

to find the height, CH, you need to use the Pytha Theorem

and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]

then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]

calculate and get CH = 2[tex]\sqrt{3}[/tex]

then the height = CH =  2[tex]\sqrt{3}[/tex]

solve the area and get

Area of ∆ABC = 8[tex]\sqrt{3}[/tex]

(optional perimeter)

to find perimeter of ∆ABC:

you add AC + CB + AB

you find CB by using opposite to 30°

CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]

so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8

Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]

Hope this helps!!

Answer:

Caleb will run 237 ft

Step-by-step explanation:

Answer:

Caleb will run 220 ft.

Step-by-step explanation:

70 * pi = 220 ft

Answer:

105.m3

Step-by-step explanation:

Answer:

1/4 en pedazos seria 1/4 en pedazos

Step-by-step explanation:

la pregunta no tiene sentido

Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".

Step-by-step explanation:

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer:

The answer is B

Step-by-step explanation:

hope this helps

Step-by-step explanation:

1 is the starting point since it is on the the axis.

then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1

(it is an addition sign since it is a positive slope)

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

3(3x +5)                   Factor

Answer:

-2 X3

Step-by-step explanation:

Answer:

7,481,624

Step-by-step explanation:

Answer:

7.48 x10^6

Step-by-step explanation:

Answer:

5 twenty's 1 five

Step-by-step explanation:

20 x 5 = 100

100 = 5 = 105

Answer:

I think it's B.

Step-by-step explanation:

Hope that helped! Have a great rest of your day!

Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

15x-40 = 8

Step-by-step explanation:

Answer: 1000

Step-by-step explanation:

Answer:

1000

Is the answer I think

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Answer:

so all you do is cross flip and multiply  

Step-by-step explanation:

what that means is you flip the fraction on the right and then cross multiply the two fractions

I hope this helps

Answer:

ok so

lets say

1 2/4 divided by 1/3

okay so first you change the 1 2/4 into a improper fraction

1 2/4 = 6/4

okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4

so the question is now

18/12 divided by 4/12

then you divide the numerator by numerator and the denominator stays the same

heres another way:

you change the number to improper if not already

18/12 divided by 4/12

and then you switch the 4 and the 12 around so its now

18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is

18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator

sorry if this is confusing, im bad at explaining >_<

Answer:

x = 40

Step-by-step explanation:

2/5x + 1/4x = 26

~Find common denominators

8/20x + 5/20x = 26

~Combine like terms

13/20x = 26

~Multiply 20/13 to both sides

x = 40

Best of Luck!

Answer:

42

Step-by-step explanation:

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/questio

Answer:

The slope would be 2

Step-by-step explanation:

Step-by-step explanation:

Given parameters:

Perimeter of triangle  = 69cm;

Unknown:

Length of each side  = ?

Solution:

   Side a is 5cm shorter than side b;

         b  = a + 5  ----- i

   Side c is 5 more than twice side b;

          c = 2b + 5

The three sides of triangle are a, b and c;

  Perimeter is the sum of sides of a body;

      a + b + c  = 69

From i;

        a  = b - 5

        b

       c  = 2b + 5

so;

          b - 5 + b + 2b + 5  = 69

           4b = 69

            b  = 17.25cm

a  = b -5  = 17.25 - 5 = 12.25cm

c = 2(17.25) + 5  = 39.5cm

Answer:

82.19

Step-by-step explanation:

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

I- I'm speechless

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