Answer:
1. m=1/2
2. x=4/7
3. t=4
4. y=5
Step-by-step explanation:
1. 5m+4=7m+6
5m-7m=6-5
2m=1
m=1/2
2. -5x+3=2x-1
-5x-2x=-1-3
-7x=-4
x= -4/-7= 4/7
3. 5t-3=3t+5
5t-3t=5+3
2t=8
t=8/2= 4
4. 53y-55= 42y
53y-42y=55
11y=55
y=55/11=5
hope it helps!
Answer: B. Every 10th students that enters the cafeteria
Explanation:
B is a random sample, while A, C, and D are biased.
Answer:
Step-by-step explanation:
we have
solve for z
We have an triangle:
base=4 in
height=3 in,
This triangle can be dividided into two equal triangles, we need calculate the hypotenuse.
leg₁=4 in/2=2 in
leg₂=3 in
Pythagoras law:
hypotenuse²=leg₁²+leg₂²
hypotenuse²=(2 in)²+(3 in)²
hypotenuse²=4 in²+9 in²
hypotenuse²=13 in²
hypotenuse=√13 in.
Now, we can find the surface area.
Surface area=2 *(rectangle area)+base area + 2(triangle area)
rectangle area=10 in x √13 in=10√13 in²
base area=10 in x 4 in=40 in²
Triangle area=(4 in x 3 in)/2=6 in²
Surface area=2(10√13 in²)+40 in²+2(6 in²)=(20√13+52) in²≈124.11 in²
Answer: 124.11 in²
