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Ksivusya [100]
3 years ago
9

Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length

of fencing Mark needs to surround all 4 gardens? Mark needs ------------ feet of fencing.
Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

110 feet

Step-by-step explanation:

Given that,

Length of the rectangular garden = 9 1/4 feet = 37/4 feet

Width of the rectangular garden = 4 1/2 feet = 9/4 feet

We need to find the total length of fencing Mark needs to surround all 4 gardens.

The length for 1 garden = perimeter of the garden

The length for 4 garden = 4×perimeter of the garden

= 4×2(l+b)

=8(l+b)\\\\=8(\dfrac{37}{4}+\dfrac{9}{2})\\\\=8\times 13.75\\\\=110\ \text{feet}

Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.

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What does M equal in m-5=-10.
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Step-by-step explanation:

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From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

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By combining similar terms, we get

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Then, x is given as

\begin{gathered} x=\frac{180}{2} \\ x=90 \end{gathered}

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4 0
1 year ago
How do you solve this problem: x/3-8=2. What do you get for x step by step please.
Kazeer [188]
Step 1:     x/3-8=2
Step 2:     x/-5=2
Step 3:    -10/-5=2
Step 4:    x=-10

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Step 2: Replace 3-8 with -5.
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4 years ago
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
4 years ago
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