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3 years ago

5

Simplify the expression.

2 answers:

astra-53 [7]3 years ago

8 0

$a^{\log_a b}=b\\\\12^{\log_{12}24}=24$

Pachacha [2.7K]3 years ago

8 0

<u>Answer:</u>

The correct answer option is A) 24.

<u>Step-by-step explanation:</u>

We are given the following log expression and we are to simplify it:

$1 2 ^ { log _ { 1 2 } } ^ { 2 4 }$

Here, we are going to apply the rule for solving a log problem:

$a^{log_a^{(b)}$ $= b$

So if $1 2 ^ { log _ { 1 2 } } ^ { 2 4 }$ , then it would be equal to 24.

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I need help with this logic puzzle,

natka813 [3]

I cannot reach a meaningful solution from the given information. To prove that S was always true, you would have to prove that N was always false. To prove that N was always false you would have to prove that L was always false. For the statement (L ^ T) -> K to be true, you only need K to be true, so L can be either true or false.
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3 years ago

Order these numbers from least to greatest <br><br> 4.1072,4.7,4.608,4.67

ira [324]

4.7,4.67,4.67,4.1072

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4 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

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4 years ago

Someone please help! find x round to the nearest tenth! trigonometry!

TEA [102]

Answer:

<h2>x = 745.5 ft</h2>

Step-by-step explanation:

Look at the picture.

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have a measure of the angle and length of the opposite:

$\alpha=28^o,\ opposite=350\ ft$

$\sin28^o\approx0.4695$

Substitute:

$\dfrac{350}{x}=0.4695$

$\dfrac{350}{x}=\dfrac{4695}{10000}$ <em>cross multiply</em>

$4695x=3500000$ <em>divide both sides by 4695</em>

$x=\dfrac{3500000}{4695}\to x\approx745.5$

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3 years ago

the sum of the measures of the interior angles of the parallelogram is 360° write and solve an equation to find the value of the

AlekseyPX

Dividing the parallelogram in half and applying trigonometry is the easiest solution for me.

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3 years ago