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3 years ago

Decompose 549 two ways

Mathematics

1 answer:

RUDIKE [14]3 years ago

4 0

Answer:

not sure if this is what you mean but you could do 500+49 or 510+39

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What is the volume of a sphere that has a radius of 18ft

mihalych1998 [28]

Answer:

24432.193

Step-by-step explanation:

Volume of sphere = 4/3 pi x cube of radius

Radius =18ft , pi = 3.142

Volume = 4/3 x 3.142 x 18 x 18 x 18

Volume = 1.3333 x 3.142 x 5832

Volume = 24432.19ft3

Volume =24432ft3 to the nearest whole number

I hope this was helpful, Please mark as brainliest

5 0

3 years ago

What is the area of a rectangle with a length of 15 feet and a width of 9 feet?

vesna_86 [32]

Area of a rectangle can be calculated by multiplying length times width.
15*9=135 ft^2

7 0

3 years ago

In triangle XYZ, A is the midpoint of XY, B is the midpoint for YZ, and C is the midpoint of XZ. Also,

azamat

Answer:

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

Step-by-step explanation:

In triangle Δ XYZ ,

A is the mid point of XY

B is the midpoint of YZ

C is the mid point of XZ

AY = 7

BZ =8

XZ = 18

The mid - point theorem states that,

The segment formed by connecting two mid - points of a triangle is parallel to the third side and half as long

AY = 7 then BC = 7 cm

BZ = 8 then AC = 8 cm

XY = 18 then AB = 9 cm

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

8 0

3 years ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

Look at the given angle.

mylen [45]

Other ways are m<1, YFP and m<F.

The angle is an acute angle because it is less than a right angle (less than 90 degrees).

6 0

3 years ago

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Decompose 549 two ways​

Decompose 549 two ways