The front of the base is 1.25 ft and the total base is 14.05 ft.
<h3>How to find the side of a right triangle?</h3>A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The sides CD and BD can be found using similar triangle principle.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, the following proportion can be established as follows;
Hence,
cross multiply
4 × 4 = 12.8 CD
16 = 12.8CD
divide both sides by 12.8
CD = 16 / 12.8
CD = 1.25 ft
BD = 1.25 + 12.8 = 14.05 ft
Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.
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Answer:
The balance in the account has fallen by $
Step-by-step explanation:
Given
Clay wrote three checks of amount dollar each
The total amount clay is planning to withdraw through check is equal to
On this Clay further withdraws an amount of $
She then make a deposit of $
The net change in the account is equal to
Deposits - withdrawals
The balance in the account has fallen by $
Answer:
Number of dimes = 28
Step-by-step explanation:
Given that:
Worth of coins = $6.30 = 6.30 * 100 = 630 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
x = 2y Eqn 1
10x+25y = 630 Eqn 2
Putting x = 2y in Eqn 2
10(2y) + 25y = 630
20y + 25y = 630
45y = 630
Dividing both sides by 45
Putting y=14 in Eqn 1
x = 2(14)
x = 28
Hence,
Number of dimes = 28
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium and small.
<span> a.How far is the spot on the beach from the parking lot? </span>Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
