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Pavlova-9 [17]
3 years ago
9

Can someone help? I'm super confused :(​

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

40 degrees

Step-by-step explanation:

Hi, so basically angles AOB and BOC added together equal angle measure AOC. First, we have to substitute the values in.

108=(3z+4)+(8z-28)

Then, combine like terms

108=11z-24

Add 24 to both sides

132=11z

Divide both sides by 11

12=z

So now all we need to do to find measure AOB is substitute 12 for z in the given equation (AOB=3z+4)

AOB=3(12)+4

AOB=36+4

AOB=40

Hope this helps, let me know if you're still confused!

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

8 0
2 years ago
HELP PLZZZ!!!
mafiozo [28]
The length of the arc
5 0
2 years ago
Read 2 more answers
Allison is working two summer jobs, making $12 per hour lifeguarding and $8 per hour washing cars. Last week Allison worked 3 mo
timama [110]

Answer:

Allison worked 6 hours lifeguarding and 3 hours washing cars.

Step-by-step explanation:

Let

Number of hours Allison worked lifeguarding last week = x

Number of hours Allison worked washing cars last week = y

1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

x-y=3

<u>Lifeguarding:</u>

$12 per hour

$12x in x hours.

<u>Washing cars:</u>

$8 pere hour

$8y in y hours.

2. Allison earned a total of $96, hence

12x+8y=96

You get the system of two equations:

\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.

3 0
3 years ago
Can a triangle be made from the measurements of 4.5 in, 8.3 in, 13.7 in? And if it can make a triangle what kind is it? ie. acut
sineoko [7]
No it can’t make a triangle
7 0
3 years ago
The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-ei
Marta_Voda [28]

Answer:

99

Step-by-step explanation:

The mean = 90 days

standard deviation = 20 days

P(Z < z) = 68 %

getting the value of z-score from the standard normal table of 0.68

z = 0.47

P(Z < 0.47) = 0.47 * 20 + 90 = 99

7 0
3 years ago
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