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3 years ago

A 120-centimeter-long board is cut into two pieces. One piece is 5 times as long as the other piece.

1 answer:

8 0

The long piece of the board is 100 cm and the shorter board is 20. you can solve this by dividing 120 by 6 since u need to have a piece that is 5x a piece which is a total of 6 pieces. Then multiply that number by 5 and that is your longest board.

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3(2+q)+153(2+q)+15 simplified is

blondinia [14]

6 + 3q + 306 + 153q + 15
156q + 327

8 0

3 years ago

Someone please tell me how to solve this

rewona [7]

The answer will be 21u^6v^8

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3 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

If you don’t help me your a criminal

STALIN [3.7K]

Answer:

take angle U as reference angle

using sine rule

sin U=opposite/hypotenuse

sinU=42/42

sin U=1

sin 90=1

therefore the value of U is 90 degree

Step-by-step explanation:

6 0

3 years ago

Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o

Cerrena [4.2K]

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

8 0

3 years ago