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vagabundo [1.1K]
4 years ago
13

Please help, I need an explanation because I'm confused on how to do this.

Mathematics
1 answer:
gladu [14]4 years ago
3 0

Answer:

15°

Step-by-step explanation:

If CB is a diameter, the arc BKAC is a semicircle and has a degree measure of 180.  If the measure of angle BCK is 20 and it is an inscribed angle, then the measure of the arc it intercepts is twice that.  So arc BK measures 40 degrees.  That means that arc KA has a measure that is found by subtracting arc AC and arc BK from 180.  180 - 40 - 110 = 30.  If that arc is 30 and the angle that intercepts it is inscribed, then the angle measure is half the measure of the arc. So the angle is 15°

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Marcus spends $58 at the bookstore. He spends the same amount of money on each of the 4 books he purchase. He also paid $4 in sa
Marat540 [252]

Answer:

$15.5

Step-by-step explanation:

58+4=62 62divided by4=15.5 :) Have a nice day

8 0
3 years ago
Suppose the population of a town is 3,400 in 2000. The population decreases at a rate of 2% every 20 years. What will be the pro
Temka [501]
The formula would be
A=p (1-r)^t

P 3400
R 0.02

Since it decreases every 20 years
From 2000 to 2040 it decreases 2 times so
T 2

A=3,400×(1−0.02)^(2)
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It's c
7 0
3 years ago
8% of 50 as a decimal
WARRIOR [948]

8% as a decimal is .08 multiplied by 50 is 4 which is the answer.


4 0
3 years ago
a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th
tiny-mole [99]

Answer: The campers will be 40\ miles from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

m=\frac{y_2-y_1}{x_2-x_1}

Choosing the points (0,4) and (2,10), we get:

m=\frac{4-10}{0-2}=3

We can susbstitute the point (0,4) and the slope into y=mx+b and solve for "b":

4=3(0)+b\\\\b=4

Then, the equation of this line is:

y=3x+4

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

d=3h+4

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute h=12 into the equation and evaluate. Then we get:

d=3(12)+4\\\\d=40

4 0
3 years ago
. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based
levacccp [35]

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

4 0
3 years ago
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