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2 years ago

What is the length of the hypotenuse of the triangle?

Mathematics

2 answers:

kari74 [83]2 years ago

4 0

Answer:

The last answer $\sqrt{65}$

Step-by-step explanation:

$7^2+4^2 = 65$

The formula to find it is $a^2+b^2=c^2$

so $\sqrt{65}$ is correct

Morgarella [4.7K]2 years ago

4 0

Answer:

√65 ft (Option D)

⠀

Step-by-step explanation:

This is Right Angled Triangle.

⠀

We'll solve this using the Pythagorean Theorem.

⠀

AC = 7ft which is the Base.

BC = 4 ft which is the Perpendicular.

AB is the Hypotenuse.

⠀

We know that,

${ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}$

⠀

${ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}$

⠀

${ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}$

⠀

${ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}$

⠀

${ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}$

⠀

Therefore,

The length of the Hypotenuse (AB) is √65 ft

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In 2005 there were 78250 car accidents in 60187 of them the driver was under the age of 30 based on this what is the probability

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3 years ago

Read 2 more answers

A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

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$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

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3 years ago

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, s

SpyIntel [72]

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = $\frac{x-\mu}{\sigma}$

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For <u>Gertrud Bacher</u>:

z-score = $\frac{129-137}{5}$

z-score = $-1.6$ (s)

The negative sign indicates Bacher's mean is less than the mean

For <u>Yelena Prokhorova</u>:

z-score = $\frac{660-600}{30}$

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

3 0

3 years ago