Answer:
<em>The circle has a radius of 41 inches</em>
Step-by-step explanation:
<u>Circles</u>
There are certain relations in a circle that help us to identify and calculate some of its characteristics.
The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.
But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.
Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:
where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore
Solving for r
The circle has a radius of 41 inches
Answer:11
Step-by-step explanation:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-5)-(18)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
3 • (x - 5) - 18 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3x - 33 = 3 • (x - 11)
Equation at the end of step
3
:
3 • (x - 11) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x-11 = 0
Add 11 to both sides of the equation :
x = 11
One solution was found :
x = 11
Answer:
$4375
Step-by-step explanation:
Add up all the sides to get the perimeter:
240 + 285 + 450 + 450 + 450 = 1875 ft
Convert ft into yards:
3 ft = 1 yard
1875 ft = 625 yards
________________________________
(625 yards)($27) = $4375
<h2>○=> <u>Solution (1)</u> :</h2>
Ratio of people who said they like cereal bars to people who said they don't = 14:11
Number of people at a grocery shop = 500
Which means :
Thus, 280 people would buy cereal bars.
▪︎Therefore, out of 500 people, <em>280 people</em> would buy cereal bars.
<h2>○=> <u>Solution (2)</u> :</h2>
Ratio of cars which worked well to cars which were defective = 297:3
Number of care produced each day = 1000
Number of defective cars produced each day :
Thus, 15 defective cars are produced.
▪︎Therefore, out of 1000 cars produced each day, <em>15 cars</em> are defective.
8+9+10= 27 and 27 divided by 3 is 9. So the mean of the chocolate chips is 9
