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2 years ago

A ladder 8m long, leaning against a vertical wall makes an angle of 75 degrees with the ground.

Mathematics

1 answer:

siniylev [52]2 years ago

4 0

Answer:

the length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet

Step-by-step explanation:

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1.) The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer

BabaBlast [244]

Exponential growth/decay rule with general function is:y=y(0)ekt with k is growth/decay constant rate.
(1) Deer population function y(0) = 1253 k
= 3% t
= 6 (years)
y(6) = 1253 . e^(0.03*6) ~ 1500 (deers)
: 1496 deers
(2) Growth factor b is rate 9.5% = 0.095

4 0

3 years ago

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Solve the inequality 1/4m≤−17 .

Anuta_ua [19.1K]

Answer:

$M\leq -68$

Step-by-step explanation:

This inequality is quite simple to solve.

Just multiply both sides by four and you have your answer:

$4*(1/4m)\leq4*-17$

$m\leq -68$

Hope this helps!

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2 years ago

Rewrite in simplest radical form 1/x^−3/6 Show each step of your process please!

Romashka [77]

$\frac{1}{a^{-b} } =a^b \\c^{ \frac{a}{b} }= \sqrt[b]{c^a} \\ \\ \frac{1}{x^{- \frac{3}{6} }}=\frac{1}{x^{- \frac{1}{2} }} =x^ \frac{1}{2} = \sqrt[2]{x^1} = \sqrt{x}$

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3 years ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0

3 years ago

Solve the equation C=5/9(F-32) Solve for F.

horsena [70]

Answer: f=9c/5+32

Step-by-step explanation:

hope it helps!

4 0

3 years ago

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