Answer:
11.6--------------------------------------
Explanation:
See the attached image for a visual reference
The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)
We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to
11.6 when rounding to the nearest tenth (one decimal place)
A line can be drawn by joining the plot of the two given points
- Please find attached the graph of the line created with MS Excel
- The equation of the line is <u>y = -x - 2</u>
Reason:
Given points on the line are (-5, 3) and (-1, -1)
- From the given points, the graph of the line can be plotted with MS Excel
The slope, <em>m</em>, of the line is given as follows
Therefore, we have;
The equation of the line in point and slope form is therefore;
y - 3 = -1·(x - (-5) = -x - 5
In slope and intercept form, we have;
y = -x - 5 + 3 = -x - 2
- The equation of the line in slope and intercept form is <u>y = -x - 2</u>
Learn more here:
brainly.com/question/2088114
Hello there! I can help you! So we are decreasing a price by 12% and then doing it again by 5%. We would pay 88% of the original price and then 95% of that sale price. To execute this better, let's make a real-world situation. Say that Mariana wants to buy a new pair of shoes that originally costed $100. The store has a tag for 12% off and then an additional 5% discount at the counter. How much would she pay for the shoes? What total discount does she get? Let's start by multiplying 100 by 88%. 100 * 88% (0.88) is 88. That's the first part. Now, we multiply that number by 95% to find the price at the counter. 88 * 95% (0.95) is 83.6. That's the price with both discounts. Mariana would pay $83.60 for the shoes, but what about the percent discount total? Let's subtract that price from 100 and see what we get. 100 - 83.6 is 16.4. Percents are parts of 100, so we don't need to do anymore simplifying. There. The total amount of discount is 16.4%.
Answer: 20 days
Step-by-step explanation:
Since the sale agent makes 40 calls a day and about 15% he calls result in a sale. This means the number of sales will be:
= 15% × 40
= 0.15 × 40
= 6
6 sales out of every 40 calls per day.
The number of calls to make 120 sales will be:
= 15% of x = 120
0.15 × x = 120
0.15x = 120
x = 120/0.15
x = 800 calls
Since he needs 800 calls and he makes 40 calls per day, the number of days needed will be:
= 800/40
= 20 days
Answer:
B. 0 ≤ x ≤ 6
Step-by-step explanation:
The horizontal grid lines are 10 °C apart, so 45 °C corresponds to a vertical position halfway between the 4th grid line and the one marked 50.
The graph intersects that position at the 2nd vertical grid line. The vertical grid lines are 3 minutes apart, so the 2nd grid line represents 6 minutes.
If Peter conducted the experiment from its start until the temperature reached 45 °C, he conducted it over a period of 0 to 6 minutes, inclusive:
0 ≤ x ≤ 6