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2 years ago

Before rock climbing, Michelle wants to know how

Mathematics

1 answer:

Sergio039 [100]2 years ago

7 0

Answer:

22 feets

Step-by-step explanation:

From the diagram attached :

We have two similar triangles which can be related proportionally :

Hence ;

Mitchell's height / distance from mirror = cliff height / cliff distance

Michelle's height = 5.5

Michell's distance from mirror = 4

Cliff height = h

Cliff distance from mirror = 16

We have ;

5.5 / 4 = h / 16

Cross multiply :

4 * h = 5.5 * 16

h = 88 / 4

h = 22 feets

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Evaluate this exponential expression (27/8)^ 4/3<br><br> A: 9/2<br> B: 4/3<br> C: 81/16

valkas [14]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}$

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3 years ago

A 90-kg astronaut biologist searches for microbial life on Mars where the gravitational acceleration is g = 3.71 m/s2. What is t

Yuki888 [10]

M = 90 kg,
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5 0

3 years ago

What is the value of 10+/-3-6/

garri49 [273]

Answer:

Step-by-step explanation:

-3-6= -8 but since its absolute value it'll be 8 so 8 plus 10 = 18

7 0

3 years ago

To wash a window that is 8 meters off the ground, Stanley leans a latter against the side of the building The base of the latter

diamong [38]

Answer:

the latter is ten meters long

Step-by-step explanation:

its just ten meters long

3 0

3 years ago

If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba

Shalnov [3]

The product of A and B matrix will be option D; BA = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right]$ .

<h3>What is the multiplication of matrix?</h3>

If $A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ and $B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$

then,

BA = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$

BA = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right]$

Hence, the product of A and B matrix will be option D; BA = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right]$ .

Learn more about matrix here;

brainly.com/question/9967572

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6 0

1 year ago