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3 years ago

. 4.5w = 5.1W - 30 please help me with this question pls show the work

Mathematics

1 answer:

inn [45]3 years ago

5 0

Answer: w = 50

Step-by-step explanation:

4.5w - 5.1w = -30

-0.6w = -30

0.6w = 30

W = 50

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Find the surface area of the composite solid.

Westkost [7]

We have:

4 triangles with the base b = 5ft and the height h = 6ft

4 rectangles with the lenght l = 5ft and the width w = 4ft

1 square with side a = 5ft.

The formula of an area of a riangle:

$A_T=\dfrac{1}{2}bh$

Substitute:

$A_T=\dfrac{1}{2}(5)(6)=\dfrac{1}{2}(30)=15\ ft^2$

The formula of an area of a rectangle:

$A_R=lw$

Substitute:

$A_R=(5)(4)=20\ ft^2$

The formula of an area of a square:

$A_S=a^2$

Substitute:

$A_S=5^2=25\ ft^2$

The Surface Area of composite solid:

$SA=4A_T+4A_R+A_S$

Substitute:

$SA=4(15)+4(20)+25=60+80+25=165\ ft^2$

<h3>Answer: The Surface Area of the composite solid is 165 ft².</h3>

3 0

3 years ago

If only two points are needed to determine a line why are three ordered pair solutions or points found for a linear equation

makvit [3.9K]

Two points give you a line. A third point (often called a check-point) is used to confirm the accuracy of your first two points. If all three line up, you have confirmed you have the correct line.

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2 years ago

A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac

sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

$N_{t} = N_{0}e^{-\lambda t}$

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant = 0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

$N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g$

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

5 0

3 years ago

A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t unde

lora16 [44]

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

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3 years ago

What is the probability of having 3 children that are all boys?

olganol [36]

So you have a 50% chance to have a boy vs a girl (1/2). If you want 3 children, that would be 1/3*1/2= 1/6 or 16.67% chance

5 0

3 years ago

. 4.5w = 5.1W - 30 please help me with this question pls show the work ​

. 4.5w = 5.1W - 30 please help me with this question pls show the work