Answer:
Step-by-step explanation:
Circumference is pi × diameter
Diameter is 2x radius
10π is the circumference
10π= 31.4cm
Answer:
C
Step-by-step explanation:
A triangle must have three angles that add up to 180 degrees.
40 + 70 + 65 = 175, which is not 180, so it cannot create a triangle.
*see attachment for diagram
Answer:
Perimeter = 38
Step-by-step explanation:
Recall: when two tangents are drawn to meet at a point outside a circle, the segments of the two tangents are congruent.
Given,
CQ = 5
PQ = 10
PR = 14
Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR
CQ = QB = 5 (tangents drawn from an external point)
BP = PQ - QB
BP = 10 - 5 = 5
BP = PA = 5 (tangents drawn from an external point)
AR = PR - PA
AR = 14 - 5 = 9
AR = RC = 9 (tangents drawn from an external point)
✔️Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR
= 9 + 5 + 5 + 5 + 5 + 9
Perimeter = 38
3x+2(x-1)=9x=4
We move all terms to the left:
3x+2(x-1)-(9x)=0
We add all the numbers together, and all the variables
-6x+2(x-1)=0
We multiply parentheses
-6x+2x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2
The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
