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2 years ago

A rectangular deck is 9 meters long by 7 meters wide. What is the length someone would walk

Mathematics

1 answer:

Feliz [49]2 years ago

4 0

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49 = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

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A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students

frutty [35]

Answer: 16

Step-by-step explanation:

Standard deviation is 2

Margin error for the problem is 1

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

1 = 1.96 * 2/ √n

1 = 3.92 / √n

√n = 3.92

n = 3.92^2

n = 15.36 = 16

i hope this work for you

8 0

1 year ago

Explain by step by step pls :( if u type something wrong ill report u

Serhud [2]

Answer:

∠ C = ∠BCD = 30°

Step-by-step explanation:

∠ EDF = ∠GFC = 110° [ corresponding angles ]

Now consider triangle BCF

∠FBC + ∠ABC = 180° [ straight line angle ]

∠FBC + 100° = 180°

∠FBC = 180 - 100 = 80°

∠BFC + ∠GFC = 180° [ straight line angle ]

∠BFC + 110° = 180°

∠BFC = 180 - 110 = 70°

Sum of angles of triangle is 180°

Therefore , in triangle BCF

That is ,

∠F + ∠B + ∠ C = 180°

70° + 80° + ∠C = 180°

∠C = 180 - 150 = 30°

7 0

2 years ago

I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought

Svetach [21]

Answer:

Let the number be x

so, x/4 = x-3

x = 4(x-3)

x= 4x-12

x-4x = -12

-3x = -12

x= 12/3

x = 4

Step-by-step explanation:

Hope this helps! (:

<h3>Please mark me Brainliest!</h3>

6 0

1 year ago

Cristina financed a $799 laptop with a 7.2% interest rate on a 2-year loan. If she can afford to make a $75 payment, how quickly

KatRina [158]

Your question is missing some elements but to answer the question I have to make an assumption.

Assuming that she make a monthly payment of $75.

The value of an loan at the end of the two year is given by

$FV=PV(1+r)^n$

where PV = $799, r = 7.2% = 0.072 and n = 2 years.

Thus,

$FV=799(1+0.072)^2=799(1.072)^2=799(1.149184)=\$918.20$

If she makes a monthly payment of $75, the number of months it will take her to pay off for her laptop is given by

$\frac{\$918.20}{\$75} =12.24\, months$

Therefore, it will take her 13 months to pay off for the laptop.

7 0

2 years ago

Round 38.725 to the nearest tenth

shtirl [24]

Answer:

38.7

Step-by-step explanation:

5 0

2 years ago

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