The length of x is option 1. 24.8.
Step-by-step explanation:
Step 1:
We determine the value of the base for the right triangle first.
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Assume the base of the right triangle is y.
The hypotenuse measures 18 units while the other sides are 13 units and y units.
Step 2:
According to the Pythagorean theorem,
So y equals 12.44 units but as y is only the base length for one of the triangles,
Rounding off 24.88 we get 24.9 which is closest to 24.8.So the length of x is option 1. 24.8.
Answer:
Measure of the acute angle = 84°
Step-by-step explanation:
In the figure attached,
ABDE is a swimming pool having length 'AB' = 65 feet
Depth of one end of the pool is BE = 4 feet
And depth of the other end AD = 11 feet
Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.
Now from ΔCDE,
tanx =
tanx =
x =
x = 6.15°
Now measure of acute angle the bottom of the pool makes with wall at he deep end,
m∠ADE = (90 - 6.15)°
= 83.85°
≈ 84°
Answer:
Step-by-step explanation:
Assume this is function is a straight line, consider the equation of the straight line:
To find the gradient of the equation, we use any two coordinates from the table.
We substitute the value of m in the equation:
To find c, we use the leftover coordinates, (4,0) in the equation above:
Substitute this value of c in the equation to get the function: