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DiKsa [7]
3 years ago
7

You focus your camera on a circular fountain. Your camera is at the vertex of the angel formed by tangents to the fountain. You

estimate that the angle is 44°. What is the measure of the arc of the circular basin of the fountain that will be in the photograph?
Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

The measure of the arc of the circular basin = 136°

Step-by-step explanation:

The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.

Mathematically, the is represented as:

Measure of an angle = 1/2(big angle - Small angle)

This values are given in the question

Measure of an angle = Measure of angle formed by tangents to the fountain = 44°

big angle is represented by = 360°-x

small angle is represented by = x

Therefore, we have

44° = 1/2( 360° - x -x)

44° = 1/2(360° - 2x)

Cross multiply

44° × 2 = 360° - 2x

88° = 360° - 2x

88° - 360° = - 2x

-272° = -2x

x = -272/-2

x = 136°

The measure of the arc of the circular basin = 136°

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27.2163 rounded to the nearest hundredth
Illusion [34]

Answer:

27.22

Step-by-step explanation:

I just done it. it wasnt that hard

4 0
3 years ago
an auto store is having a sale on motor oil the chart shows the price per quarts as the numbers of quarts purchased increases us
Artyom0805 [142]

Answer:

Step-by-step explanation:

Use the attached given data to make a scatter plote. The diagram attached will aid you to do the plot.

please note you will have to merge each figure against each other.

<u>Step 1</u>

when number of quartz is = 1 , Price per quartz = 2. This will be merge against each other.

This step will be repeated for the remaining figure.

<u>Conclusion</u>

Since its a scatter plot we are not expecting a staright line graph.

7 0
3 years ago
answers please asap for this question please i have been waiting for ever and its due tomorrow the 10th
ololo11 [35]
Hi there!

First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.

WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52

Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.

WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years

To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.

WORK:
80 = 2n + 40
40 = 2n
n = 20 years


Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
7 0
3 years ago
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f
lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function h(t)=-16t^2+16t+480 models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

h(0)=-16(0)^2+16*0+480

h(0)=-0+0+480

h(0)=480

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

8 0
3 years ago
Find and compare the growth rates in the weekly number of specialty items produced at each factory.
DerKrebs [107]

0.129 is the change in the growth rate of company.

According to statement

we have to find and compare the growth rate of the company weekly.

we use the growth rate formula is

GROWTH RATE = present - past / present

Substitute the values in this formula

1st week = 220-190 / 220

1st week = 0.136

2nd week = 252-220 / 252

2nd week = 32 / 252

2nd week = 0.126

3rd week = 290-252 / 290

3rd week = 0.131

4th week = 337 - 290 / 337

4th week = 0.139

5th week = 380 - 337 / 380

5th week = 0.113

6th week = 440 - 380 / 440

6th week = 0.136

7th week = 505 - 440 / 505

7th week = 0.128

Now we find the average value of growth rate

Average = 0.136 + 0.126+0.131+0.139+0.113+0.136+0.128 /7

Average = 0.909/7

Average = 0.129

So, 0.129 is the change in the growth rate of company.

Learn more about GROWTH RATE here brainly.com/question/20115298

#SPJ1

7 0
2 years ago
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