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diamong [38]
4 years ago
6

Don't know how to solve this problem, help would be appreciated

Mathematics
1 answer:
kenny6666 [7]4 years ago
6 0

Answer:

219

Step-by-step explanation:

The figure has the shape of a trapezoid. We find the area of the trapezoid and subtract the area of the rectangular door.

area of trapezoid = (base1 + base2)h/2

area of trapezoid = (20 ft + 12 ft) * 15 ft / 2

area of trapezoid = 32 ft * 15 ft /2

area of trapezoid = 240 ft^2

area of rectangle = length * width

area of rectangle = 7 ft * 3 ft

area of rectangle = 21 ft^2

area to be painted = area of trapezoid - area of rectangle

area to be painted = 240 ft^2 - 21 ft^2

area to be painted = 219 ft^2

Answer: 219 ft^2

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Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards =  1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}

P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

The probability of drawing 2 even numbers is:

P=P_1\times P_2

P=\dfrac{1}{3}\times \dfrac{1}{5}

P=\dfrac{1}{15}

Therefore, the probability of drawing 2 even numbers is \dfrac{1}{15}. Hence, the correct option is (b).

5 0
3 years ago
In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations
eimsori [14]

Answer:

Expression: N = C·L·l(t)· T + 20

The initial value problem and solution are expressed as a first order differential equation.

Step-by-step explanation:

First, gather the information:

total population, N = 2 000

Proportionality constant, C = 0.0002

l(t) number of infected individuals = l(t)

healthy individuals = L

The equation is given as follows:

N = C·L·l(t)

However, there is a change with time, so the expression will be:

\frac{dN}{dt} = C·L·l(t)

multiplying both sides  by dt gives:

dN  =   C·L·l(t)

Integrating both sides gives:

\int\limits^a_b {dN} \, dt = \int\limits^a_b {CLl(t)} \, dt

N = C·L·l(t)· T + K

initial conditions:

T= 0, N₀ = (0.01 ₓ 2 000)  = 20

to find K, plug in the values:

N₀ = K

20 = K

At any time T, the expression will be:

<u>N = C·L·l(t)· T + 20</u> Ans

8 0
3 years ago
Oil is often measured in barrels one barrel can hold the 42 gallons of oil how many gallons of oil can 7 barrels hold
svetoff [14.1K]
294 gallons of oil is the answer because you do 42 and mltiply it by 7
7 0
3 years ago
Can anyone be nice and help a girl out. please i need help.
Nuetrik [128]

Answer:

Step-by-step explanation:

So when we solve the inequality:

2(x - 2) >_ 2

x - 2 >_  1 (divided 2 from both sides)

x >_ 3 (added 2 to both sides)

So with our final equation, we can work out that the answer is b, but d is also correct so I'm assuming that the inequality needs to be represented on a number line as hey usually are.

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8 0
4 years ago
the graphy below shows the relationshio between the numbers of calories and the total amount in fat in different types of sandwi
taurus [48]

Answer:

The points have a positive trend and are most likely linear

Answer (C)

Step-by-step explanation:

∵ The graph represents the relation between the numbers

   of calories and the total amount in fat in different types

   of sandwiches

∵ Both values increase together

∴ Correlation is Positive

∵ If you draw the line best fit to check if it's strong or weak

  Most of point will be on the line

∴ The points have a positive trend and are most likely linear

∴ The answer is (C)

3 0
3 years ago
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