Based on the assumption that the angle of the triangle at the cave entrance is a right angle, the angle Devora turned before walking to the treasure chest is approximately 57 degrees.

Step-by-step explanation:

A sketch of the triangle formed is attached where E is the entrance of the cave, C is the treasure chest and T is the treasure itself.

Using the cosine trigonometric ratio, we have that

$\cos \theta = \frac{484848}{898989} = 0.5393$

Finding the arccosine of 0.5393 gives $57.36^0$

6 0

3 years ago

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Solve the following compound inequality: (1 point)

valentinak56 [21]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x < -2 \:\: or \:\; x >4$

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$\large \tt Solution \: :$

$\textsf{First Inequality :}$

$\qquad \tt \rightarrow \: - 2(x + 8) + 6 > x - 4$

$\qquad \tt \rightarrow \: - 2x - 16 + 6 > x - 4$

$\qquad \tt \rightarrow \: - 2x - 10 > x - 4$

$\qquad \tt \rightarrow \: - 10 + 4 > x + 2x$

$\qquad \tt \rightarrow \: - 6 > 3x$

$\qquad \tt \rightarrow \: - \cfrac{ 6}{3} > x$

$\qquad \tt \rightarrow \: - 2 > x$

$\qquad \tt \rightarrow \: \therefore x < - 2$

$\textsf{Second Inequality :}$

$\qquad \tt \rightarrow \: - 3x + 12 < 6(x - 4)$

$\qquad \tt \rightarrow \: - 3x + 12 < 6x - 24$

$\qquad \tt \rightarrow \: 12 + 24 < 6x + 3x$

$\qquad \tt \rightarrow \: 36 < 9x$

$\qquad \tt \rightarrow \: \cfrac{36}{9} < x$

$\qquad \tt \rightarrow \: 4 < x$

$\qquad \tt \rightarrow \: \therefore x > 4$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0

2 years ago

Pls answer im failing math and need an A

Yakvenalex [24]

Answer:

4. 23

4. 206

5. 75 ft

7. 6 sections

8. 6 families

Step-by-step explanation:

4. 3x + 5 is the same thing as 3 x 6 + 5 so it equals to 23

4. x to the power of 3 - 10 is equal to 6 to the power of 3 - 10 so it equals to 206

5. Formula for area of triangle = 1/2 x base x height

So, it's 1/2 x 10 x 15 = 75

7. 3/4 ÷ 1/8 = 6 (Trick: When dividing fractions, make sure to flip the fraction for the 2nd one and leave the 1st one as the same. After that, multiply them together)

8. 3 families have 4-5 pets, 2 families have 6-7 pets and 1 family have 8-9 pets. At least 4 pets means 4 pets and above. So 3 + 2 + 1 = 6 families.

6 0

3 years ago

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