Answer:
Area of Δ ABC = 21.86 units square
Perimeter of Δ ABC = 24.59 units
Step-by-step explanation:
Given:
In Δ ABC
∠A=45°
∠C=30°
Height of triangle = 4 units.
To find area and perimeter of triangle we need to find the sides of the triangle.
Naming the end point of altitude as 'O'
Given 
For Δ ABO
Since its a right triangle with one angle 45°, it means it is a special 45-45-90 triangle.
The sides of 45-45-90 triangle is given as:
We are given BO (Leg 1) 
∴ AO (Leg2) 
∴ AB (hypotenuse) 
For Δ CBO
Since its a right triangle with one angle 30°, it means it is a special 30-60-90 triangle.
The sides of 30-60-90 triangle is given as:
We are given BO (side opposite 30° angle)
CO (side opposite 60° angle) 
BC (Hypotenuse) 
Length of side AC is given as sum of AO and CO
Perimeter of Δ ABC= Sum of sides of triangle
⇒ AB+BC+AC
⇒ 
⇒ 
units
Area of Δ ABC = 
⇒ 
⇒ 
units square
It will take Nolan 7 years compounded annually at the rate of 3% for his money to reach $6880
To solve this problem, we would use the formula of compound interest.
Data given;
- A = 6880
- P = 5300
- r = 3.8 % = 0.038
- N = 1
<h3>Compound Interest</h3>
The formula used in calculating compound interest is given as
let us plug in the values and solve for t.
Take the natural log of both sides
The time it will take for $5330 compounded annually at the rate of 3% is 7 years.
Learn more on compound interest here;
brainly.com/question/2455673
Write every number which have the power
Option 2. 
shows the correct way to use the quadratic formula to solve the given equation.
Step-by-step explanation:
Step 1:
For an equation of the form 
the solution is 
.
Here a is the coefficient of 
, b is the coefficient of x and c is the constant term.
can also be written as 
Comparing 
with , we get that a is 1, b is -4 and c is -21.
To get the solution, we substitute the values of a, b, and c in .
Step 2:
Substituting the values, we get
This is option 2.
Answer:
-1000
Step-by-step explanation:
take -10 x -10 x -10= -1000:)
