Answer:
14.04°
Step-by-step explanation:
In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.
The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:
To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.
Answer:
Step-by-step explanation:
We are given
zeros as -10 and 7/8
now, we can set up function as
now, we are given that
leading coefficient is 8
so, a=8
now, we can plug it
now, we can simplify it
so, we get
Answer:
area: 454.2 sq.cm
perimeter: 77.7 cm
Step-by-step explanation:
to find area, find the area of all the separate shapes and add them together:
semi-circle:
radius is 12 cm
area = = 226.2 sq.cm
separate the trapezoid into two right triangles and a rectangle.
area for triangles:
(5)(12) = 30
30 x 2 = 60 sq.cm (since there are two triangles)
area for rectangle:
12 x 14 = 168 sq.cm
area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm
for perimeter, just add the length of the exterior sides together.
we have some unknown sides, such as the semicircle and the sides of the trapezoid
we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem
c = 13 cm
to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half
= 37.7 cm
now add it all up:
14 + 13 + 13 +37.7 = 77.7