The length of given frame is 7 inches
The width of given frame is 5 inches
Assume the thickness of frame is 1 inches (as it is not clear in picture)
Area of square will be 7*5= 35 sq.inch.
Area of hollow surface 5*3= 15 sq.inch.
Area of frame = square area- hollow area= 35-15
Area of wooden portion of frame = 20 sq.inch.
Answer:
I learned a trick, where you draw a line that has the same number of points on top/above the line as there are points below the line.
Step-by-step explanation:
Answer:
5False
6 true
7 true
Step-by-step explanation:
5 Complementary angles add to 90 degrees not 180 degrees
6 40+50 = 90 so they are complementary
7 Supplementary angles add to 180
145+x = 180
Subtract 145 from each side
145-145 +x = 180-145
x = 35
Answer:
Step-by-step explanation:
Given
Balloon in the east makes an angle of elevation of
and is at height of 461 m
Balloon in the west makes an angle of elevation of
and is at height of 296 m
Erica height is 1.6 m tall so net altitude of Red balloon is 459.4 m
and net height of Blue balloon is 294.4 m
using trigonometry




Distance between two Balloons


Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean : 
Standard deviation : 
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score : 
For x = 11.97

For x = 12.04

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

Hence, the probability that the shipment is found satisfactory=0.9104