Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is 
units.
We know that tangent relates opposite side of a right triangle with adjacent side.
We can see that 'a' is opposite side of angle A and 'b' is adjacent side.
Therefore, the value of tan(A) is 
.
Answer:
x = 7
Step-by-step explanation:
The angles are alternate interior angles, so for the lines to be parallel, the angle measures must be equal.
7x - 7 = 4x + 14
3x = 21
x = 7
Answer:
$40.95
Step-by-step explanation:
daniel earned 18.20 for working 2 1/3 hours
so he earned 18.20 / (2 1/3) for each hour of work
for 5 1/4 hours of work, he earned
= 18.20 / (2 1/3) x 5 1/4
= $40.95
The decrease is 35c
Q= X/100 of $1.37 = 0.35
1.37x/100 = 0.35
1.37x = 35 then divide each side by 1.37
Result is 25.5474453 percent, round up to nearest tenth.
Answer is 25%
Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
