The answer is option D

Find the value of the variable

marissa [1.9K]

Answer:

x=13

Step-by-step explanation:

because they're alternate adjacent angles:

5x=78-x

6x=78

x=13

8 0

3 years ago

Find the length of the darkened arc. Leave your answer in terms of pi.

jonny [76]

Answer:

$\frac{15 }{4} \pi \:$

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

$length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:$

6 0

4 years ago

Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans.

Ksju [112]

Answer:

The Correct option is 36.60

Step-by-step explanation:

The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.

1000 grams equal one kilogram

9 grams=9/1000 kg

9 grams=0.009 kg

70 grams=70/1000 kg

70 grams=0.07 kg

Julie pays=$600*0.009=$5.4

Jacques pays=$600*0.07=$42

Jacques pays $36.60 more ($42-$5.4) than Julie paid

Option is wrong because that was what Julie paid

Option D is wrong because that was what Jacques paid

Option B is obviously wrong

3 0

3 years ago

Pls help asap !!!!!!

Licemer1 [7]

Answer:

The MEDIAN, 4.5 hours, is the best measure of center, so the IQR is the best measure of variability.

McKennas conclusion IS NOT accurate. The mode of her data IS 6 hours. However, MORE than half of the time, she spends LESS than 6 hours riding her horse. It would be more accurate to say that Mckenna typically rides her horse between 2.5 and 6 hours.

Step-by-step explanation:

Put the values in order of smallest to largest:

0, 2, 2, 2.5, 2.5, 3, 4, 5, 6, 6, 6, 8, 9, 10

Median (middle value) = (4 + 5)/2 = 4.5

Lower quartile Q1 = 2.5

Upper quartlie Q3 = 6

IQR = Q3 - Q1 = 3.5

Mode (value that occurs most often) = 6

Mean (average) = sum of values ÷ number of values = 4.7

Range (difference between the highest and lowest values) = 10 - 0 = 10

Median is the best measure of the center since it isn't influenced by extreme values.

IQR is less affected by outliers and extreme values. It gives a consistent measure of variability for skewed data.

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The MEDIAN, 4.5 hours, is the best measure of center, so the IQR is the best measure of variability.

McKennas conclusion IS NOT accurate. The mode of her data IS 6 hours. However, MORE than half of the time, she spends LESS than 6 hours riding her horse. It would be more accurate to say that Mckenna typically rides her horse between 2.5 and 6 hours.

3 0

2 years ago

PLEASE GUYSSS I HAVE 20 MINS LEFT

oksano4ka [1.4K]

What’s the question ?

7 0

3 years ago