Answer:
Step-by-step explanation:
The missing angle of the triangle is 180°-42°-60° = 78°.
x° = 180°-78° = 102°
Answer: O Yes; 6
Yes it is Arithmetic; the difference is 6
Step-by-step explanation:
If the numbers keep changing by the same value being added or subtracted, it is Arithmetic.
-15 - (-9) = -6 -9 - (-3) = -6 -3 - 3 = -6
"Same difference" as the saying goes!
Answer:
Step-by-step explanation:
- Total number of bikes = 18
- Bikes with gears S = 9
- Bikes with suspension S = 11
- Bikes with both GS = 5
<u>From the information above we have:</u>
- Bikes with gears only = 9 - 5 = 4
- Bikes with suspension only = 11 - 5 = 6
<u>Sum of the above two gives us the number of bikes with suspension or gears:</u>
<u>Probability of selected bike be G or S is:</u>
Answer: Assuming the unit is dollars, the answer would be $5,010.
Explanation:
Step 1: 8000-300 is 7700.
Step 2: 7700-290 is 7410
Step 3: 7410-400 is 7010
Step 4: 7010-2000 is 5010
So, the answer is Anna has $5,010 dollars left after giving Jim $300, buying shoes for $290, a suit for $400 and spending $2,000 dollars on a new phone.
Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify
