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scZoUnD [109]
3 years ago
9

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded

to the nearest tenth?
A. 8.5 cm
B. 7.5 cm
C. 5.5 cm
D. none of the above
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED

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Geometry...................
m_a_m_a [10]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Number of employees = 192

See the table

Process

a) To solve this question, consider only the employees that prefer a jacket

          Male        77

          Female  +35

                         112 employees prefer a jacket

- Calculate the probability

            P = 112 / 192

            P = 0.58

b) Female and prefers a jacket

            P = (54 /192)(35/192)

            P = (0.28)(0.18)

            P = 0.05

 

8 0
3 years ago
The population of a town in 2007 is 113, 505
ELEN [110]

from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481

7 0
1 year ago
Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How man
Ilya [14]
On his way walking dylan lost atleast 10 apples
3 0
2 years ago
Read 2 more answers
Can 1/2 be written as a terminating decimal?
igor_vitrenko [27]
Yes it can and the answer would be 0.5

Terminating decimals are numbers that never stop going after the period. Such an example would be 10/3 which would give 3.333333 indefinitely. 1/2 gives a whole number, that is, 0.5
4 0
3 years ago
Coefficient of x^2 in the expansion of (x-3)^3
Mila [183]

Answer:

-9

Step-by-step explanation:

(x-3)(x-3)(x-3)

(x^2-6x+9)(x-3)

x^3-9x^2+27x-27

Therefore, the coefficient of x^2 is -9.

7 0
2 years ago
Read 2 more answers
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