We are given the data of the minute hand traveling from 1:15 to 1:30 and a displacement of the hand by 15 cm. In this case. the arc length is the 15 cm while the angle of the sector can be derived from the clock times. The angle between <span>1:15 to 1:30 is approximately 90 degrees or pi/2. hence the radius can be computed from:
s = r theta
15 = r * pi/2
r = 9.55 cm</span>
Answer:
Scalene triangle
Step-by-step explanation:
-Given that Grace's triangle has 3 different dimensions for all the 3 sides, it is a Scalene triangle.
-A scalene triangle has different measurements for all of its three dimensions.
-Scalene triangles have different measurements for all of its 3 angles.
The sum of y and 9
Hope this helps
Answer:
94
Step-by-step explanation:
PQS = (7x - 6)°
SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal
so
7x - 6 = 4x + 15 transfer like terms to the same side of the equation
7x - 4x = 15 + 6
3x = 21 divide both sides by 3
x = 7
also the sum of these two would give us the measure of PQR
7x + 4x + 15 - 6 = PQR
11x + 9 = PQR replace x with 7
11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86
The probability that at least 2 of the dinners selected are pasta dinners will be 0.8181...
<u><em>Explanation</em></u>
Pasta dinners = 7 , Chicken dinners = 6 and Seafood dinners = 2
The student selects 5 of the total 15 dinners. So, total possible ways for selecting 5 dinners 
For selecting at least 2 of them as pasta dinners, the student can select 2, 3, 4 and 5 pasta dinners from total 7 pasta dinners.
So, the possible ways for selecting 2 pasta dinners 
The possible ways for selecting 3 pasta dinners 
The possible ways for selecting 4 pasta dinners 
The possible ways for selecting 5 pasta dinners 
Thus, the probability for selecting at least 2 pasta dinners 
