Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°

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DochEvi [55]

Answer:

I think it is 20.75°

Step-by-step explanation:

An interesting problem!

the m arcVYX = 282° so the m arcVYXV must equal 360°

so the m arcVX must equal 360 - 282 = 78°

I beleive m angle UVX - m arcVX = 78°

78 = 4x - 5

83 = 4x

20.75° = x

I don't like this answer. I would normally exspect whole numbers for most algebra problems

8 0

3 years ago

A. Complete the chart based on the initial conditions:

Nata [24]

Answer:

a.

$Month\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Pop(whole \ ant)\\month1 => x_1=80\times0.94^1=1128\\month2=>x_2=1200\times0.94^2=1060\\month3=>x_3=1200\times0.94^3=996\\month4=>x_4=1200\times0.94^4=936$

b.

$week Number\ \ \ \ \ \ \ \ \ \ \ \ \ \ Mass(g)\\week1 => x_1=80\times1.1^1=88g\\week2=>x_2=80\times1.1^2=96.8g\\week3=>x_3=80\times1.1^3=106.48g\\week4=>x_4=80\times1.1^4=117.128g$

Step-by-step explanation:

a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form $(a,ar,ar^2,ar^3...)$ where $a-first \ term$ and $r-common \ ratio$

#Since the population is reducing, $r$ can is obtained as $r=1-r=0.94$

#The $n^t^h$ term is obtained using the formula $x_n=ar^(^n^-^1^)$ , given a=1200

The number of ants alive after every month (in first 4 months)

$Month\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Pop(whole \ ant)\\month1 => x_1=80\times0.94^1=1128\\month2=>x_2=1200\times0.94^2=1060\\month3=>x_3=1200\times0.94^3=996\\month4=>x_4=1200\times0.94^4=936$

The ant's alive after 4 months is obtained as the value of $x_5$

$x_n=ar^(^n^-^1^)\\1-x_5=1-1200\times 0.94^4=936.89\\\approx 936$

Hence, 936 ants are alive after 4 months.

b. As with the above question, the kitten population follows a geometric sequence: $(a,ar,ar^2,ar^3...)$ .

#Since it's a growing population , the common ration is the sum of 100% + the growth rate,

$r=1.1$ and $a=80$ and $x_n=ar^(^n^-^1^)$

The population after 4weeks will be:

$week Number\ \ \ \ \ \ \ \ \ \ \ \ \ \ Mass(g)\\week1 => x_1=80\times1.1^1=88g\\week2=>x_2=80\times1.1^2=96.8g\\week3=>x_3=80\times1.1^3=106.48g\\week4=>x_4=80\times1.1^4=117.128g$

8 0

3 years ago

Side lengths of triangle : 6cm, 12cm, and 7cm. Do these make a unique triangle, more than one triangle, or no triangle

joja [24]

Answer:

8 triangles

Step-by-step explanation:

I took this question to mean that we have the lengths, 2, 6, and 7 and have multiple copies of them. Using these lengths, what are all of the triangles that can be made?

2x2x2

6x6x6

7x7x7

2x6x7

6x6x7

6x7x7

2x6x6

2x7x7

2x2x6 and 2x2x7 don’t make a triangle.

So, 8 triangles can be made.

from quora

5 0

2 years ago

BRAINLIEST!!! he dot plot shows predictions for the winning time in the 200-meter sprint. The winner finished the race in 22.2

Alenkasestr [34]

Answer: Approximately 3.15%

Explanation:

The true finishing time is 22.2 seconds. The prediction furthest from this is 22.9 seconds. This is a difference of 22.9-22.2 = 0.7 seconds. Divide this over the true time value to get (0.7)/(22.2) = 0.03153 which is approximate.

Move the decimal point to the right 2 spots to get to 3.153%; round this value however you need to.

7 0

2 years ago

While in transit, the antitoxin had to stay between 36ºF and 46ºF. The dogsled teams stopped along the route often to warm the a

eimsori [14]

Range is the difference between the largest and the smallest numbers in a given contest

Hence the range
= 46 - 36
= 10 °F

6 0

2 years ago