Answer:
Step-by-step explanation:
Number of the bags = between 8 and 15 and
-
1/2 of bags contain money
- 1/6 of bags contain candy
- 1/3 of bags contain a toy
As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
<u>
The number between 8 and 15 and divisible by 6:</u>
So the number of bags is 12
Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.
The equation for this problem is:
2x+8=26
the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:
2x=18
after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:
x=9
Max is 9 years old.
Answer:
AC=13.6
Step-by-step explanation:
let the triangle is ABC
radius =6 , diameter =6*2=12
therefore AB=12
since BC is a tangent
therefore angle B =90 degrees
BC=6.4
AC=13.6
The width (W) of the prism is 16 cm.
The length (L) of the prism is 16 cm.
The height (H) of the prism is 10 cm.
The formula for the surface area of any right prism with width W, length L, and height H is the following:
A = 2 (WL + LH + WH)
Substituting using our given values changes the equation to:
A = 2 (16*16 + 16*10 + 16*10)
= 2 (256 + 160 + 160) = 2 (576)
= 1152
Thus, the surface area is 1152 cm².
Let me know if you need any clarifications, thanks!
