Answer:
x could be -7.089, 0.334, and 6.755.
Step-by-step explanation:
I graph the equation to find the solutions for x.
Answer:
Part 9) 8 inches
Part 10) Length = 2 inches, width = 3 inches
Part 11) 3.14(4)²
Part 12) x=11°
Part 13) 40%
Part 14) 83%
Part 15) 64%
Step-by-step explanation:
Part 9) we know that
The area of a triangle is equal to
A=(1/2)bh
we have
A=24 in²
b=6 in
substitute and solve for h
24=(1/2)(6)h
48=6h
h=8 in
Part 10) we know that
The scale factor is 1/2
To find the new dimensions, multiply the original dimensions by the scale factor
Length=4*(1/2)=2 in
width=6*(1/2)=3 in
Part 11) we know that
If the leg of the triangle labeled 8 inches passes through the center of the circle
then
the diameter of the circle is 8 inches
the radius is
r=8/2=4 in ----> the radius is half the diameter
The area of the circle is equal to
A=πr²
substitute the values
A=3.14(4)²
Part 12) we know that
20°+(5x+15)°=90° ----> by complementary angles
so
Solve for x
(5x+15)°=90-20°
5x=70°-15°
x=55°/5=11°
Part 13) we know that
70 times represent the 100%
using proportion
100%/70=x/28
x=28*100%/70
x=40%
Part 14) we know that
Any customer has a 17% chance of winning a free laptop
so
the chance that a customer does not win a free laptop is equal to
100%-17%=83%
Part 15)
step 1
Find the area of the larger circle minus the smaller circle
A=π(5²-3²)=16π in²
step 2
Find the area of the larger circle
A=π(5²)=25π in²
step 3
Find the probability that a point chosen inside the larger circle is not in the shaded region
Divided the area of of the larger circle minus the smaller circle by the area of the larger circle
16π/25π=0.64=64%
Answer:
36 treats remain.
Step-by-step explanation:
You need to solve for 25% of the treats. So, divide 48 by 4. From that you get 12. Subtract 12 from 48 and you have 36, which is the answer.
