Answer:
radius ≈ 15.5
Step-by-step explanation:
the radius is RS
the angle between a tangent and the radius at the point of contact is 90°
then Δ RST is a right triangle
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then
RS² + ST² = RT² ( substitute values )
RS² + 7² = 17²
RS² + 49 = 289 ( subtract 49 from both sides )
RS² = 240 ( take square root of both sides )
RS =
≈ 15.5 ( to 1 dec. place )
Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
Answer: 7,8,9
Step-by-step explanation:
Let the numbers be a, a+1 and a+2. Therefore, based on the question, this will be:
= (a + 1)(a + 2) = 72
a² + 2a + a + 2 = 72
a² + 3a + 2 - 72 = a
a² + 3a - 70 = 0
a² + 10a - 7a - 70 = 0
a(a + 10) - 7(a + 10)
a - 7 = 0
a = 7
Since a = 7
a + 1 = 7+1 = 8
a + 2 = 7+2 = 9
The numbers are 7,8 and 9
Nigel needs 5 bags in order to put each five slices in their own bag.
Answer:
the answer is 9 11/15 or 26/15 in improper fraction form.