Answer:
See below
Step-by-step explanation:
<u>Number of squares:</u>
- 1x1 squares = 8*8
- 2x2 squares = 7*7
- 3x3 squares = 6*6
- 4x4 squares = 5*5
- 5x5 squares = 4*4
- 6x6 squares = 3*3
- 7x7 squares = 2*2
- 8x8 square = 1
<u>Total number:</u>
- 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
- 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
- 204
Answer:
It is
Step-by-step explanation:
52² = 20² + 48²
2704 = 400 + 2304
2704 = 2704
Satisfies pythagoras theorem so right angle triangle
Answer:
2 1/2 miles per gallon
Step-by-step explanation:
So to travel 8 3/4 miles, we need 3 1/2 gallons of gas. All we need to do is divide the gallons of gas by miles. So we would do 8 3/4 divided by 3 1/2. 3 1/2 goes into 8 3/4 2 1/2 times.
Answer:
The equation for difference in altitude of the two helicopters is A = 650 - 100t
Step-by-step explanation:
Given;
The altitude of one helicopter is, A1 = 600 + 150t
The altitude of a second helicopter is, A2 = 1250 + 50t
Their difference in altitude, A at time t, is calculated as
A₂ - A₁ = A = (1250 + 50t) - (600 + 150t)
A₂ - A₁ = A = 1250 + 50t - 600 -150t
A₂ - A₁ = A = 1250 - 600 + 50t - 150t
A₂ - A₁ = A = 650 - 100t
Therefore, the equation for difference in altitude of the two helicopters is A = 650 - 100t
Answer:
Perimeter = a + b + sqrt ( (a^2/4) + b^2 ) + sqrt(3)a/2
Step-by-step explanation:
Givens
- ΔABC is equilateral
- AB = a
- The diagram is given below
- AM is a Median
- PB ⊥ AB
- PM = b
Find
Perimeter of ΔPBM
Formula
Perimeter of ABM = AB + PB + PM + AM
Solution
- AB = a Given
- PM = b Given
- PB = sqrt( (a/2)^2 + b^2)
- PB = sqrt( a^2/4 + b^2) PMB is a right angle Pythagoras applies.
- AM = sqrt( AB^2 - BM^2) AMB is a right angle Pythagoras applies.
- AM = sqrt(a^2 - (a/2)^2 ) = sqrt(3)a/2
Perimeter = a + b + sqrt ( (a^2/4) + b^2 ) + sqrt(3)a/2 Answer
