Answer:
m<C = 36.87degrees
Step-by-step explanation:
Solve for the approximate measure of angle C.
From the given diagram;
AC is the hypotenuse
BC is adjacent to <C
Cos m<C = adj/hyp
Cos m<C = BC/AC
Cos m<C = 20/25
Cos m<C = 0.8
m<C = arccos (0.8)
m<C = 36.87degrees
Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
a) 2.5
b)2.33
Step-by-step explanation:
a)

Bring the numerals to the right hand side and the x terms to the left hand side

Simplify

Divide 3 on both sides, to get x

b)

Bring the numerals to the right hand side and the x terms to the left hand side

Simplify

Answer:
The answer to the question provided is 3.
Step-by-step explanation:
given,
x1= 1 , x2= 7 , m1= 3
y1= 4 , y2= 1 , m2= 1
x=?
y=?
using section formula
x= (m2.x1 + m1.x2)/m1 + m2
x= find yourself
y= (m2.y1 + m1.y2) / m1 + m2
y= find yourself