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leva [86]
3 years ago
12

I need help someone pls

Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

≈ 66.5 m

Step-by-step explanation:

Using the sine ratio in the right triangle

sin12° = \frac{opposite}{hypotenuse} = \frac{d}{320} ( multiply both sides by 320 )

320 × sin12° = d , then

d ≈ 66.5 m ( to 1 dec. place )

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The size of angle DEF
Masja [62]

Answer

132 degrees

Step-by-step explanation:

Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF

The sum of the four angles of any quadrilateral is 360 degrees.

Since three angles are given, we can use that to find the fourth.

360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.

Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).

DEB+DEF=180

48+DEF=180

DEF=180-48=132 degrees.

Thus, angle DEF is equal to 132 degrees.

8 0
3 years ago
According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise. The numbers for
Vaselesa [24]

Answer:

The mean of these statistic is 2.18.

Step-by-step explanation:

According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise.

The given data set is

2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3

Formula for mean:

Mean=\frac{\sum x}{n}

Using this formula, the mean of the data is

Mean=\frac{2+1+2+2+1+2+2+3+3+3+3}{11}

Mean=\frac{24}{11}

Mean=2.181818

Mean\approx 2.18

Therefore the mean of these statistic is 2.18.

3 0
3 years ago
Read 2 more answers
NEED HELP !!!!!!!!!!!!!!
chubhunter [2.5K]

Answer:

$31.55

Step-by-step explanation:

She earns $25.75 one week and $37.80 another week that means she earned $25.75 + $37.80 = $63.55 in total

She spent $32 therefore she has $63.55 - $32 = $31.55 left

8 0
3 years ago
What is 6532 rounded to the nearest thousand
laiz [17]

Answer:

7000

Step-by-step explanation:

because 6532 is closer to 7000 then 6000.

5 0
3 years ago
Help me with these math questions.
Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: \frac{150}{31}

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

log₆(5x + 6) - log₆(x - 4) = 2

log₆(\frac{5x+6}{x-4}) = 2

(\frac{5x+6}{x-4}) = 6²

(\frac{5x+6}{x-4}) = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

       6 = 31x - 144

    150 = 31x

     \frac{150}{31} = x

**********************************************************

Answers:

  • a. (-1, -5)
  • b. up
  • c. x = -1
  • d. \frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}
  • e. -2
  • f. see attachment
  • g. domain (-∞, ∞)  range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

      a=3  b=6 c=-2

x = \frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

       = 3 - 6 - 2

       = -5

Vertex: (-1, -5)

x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

  = \frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}

  = \frac{-6+/-\sqrt{36+24}}{6}

  = \frac{-6+/-\sqrt{60}}{6}

  = \frac{-6+/-2\sqrt{15}}{6}

  = \frac{-2+/-\sqrt{15}}{3}

x-intercepts: \frac{-2+/-\sqrt{15}}{3}



6 0
3 years ago
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