This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5
The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²
This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them.
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3
r is the radius which is half of the diameter.
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]
I hope this helps
Answer:
8 mangoes
Step-by-step explanation:
1) lets create 2 systems of inequalities
where m=# of mangoes
p=# of peaches
so m+p≥15 and 1m+0.5p≤15
lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:
m+(13)≥15
subtract "13" from both sides:
m≥2
now we substitute "13" in the other inequality:
m+0.5(13)≤15
m+6.5≤15
subtract 6.5 from both sides:
m≤8.5
m≥2 and m≤8.5
seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)
hope this helps!
Given:
Principal = $1400
Simple rate of interest = 1.25%
Time = 6 month
To find:
The balance of the account after simple interest.
Solution:
The formula for simple interest is
Where, P is principal, r is the rate of interest in % and t is time in years.
Time = 6 months
= 
year
= 0.5 year
Putting 1400, r=1.25, t=0.5 years.
Now, the amount is
Therefore, the balance of the account after the simple interest is $1408.75.
