Answer:
x = 2
Step-by-step explanation:
x is the height of these triangles. Thus, we know all three sides of either triangle: height = x; base = 8/2, or 4; and hypotenuse √20.
Using the Pythagorean Theorem, we find x as follows:
x^2 + 4^2 = 20, or
x^2 = 4. Then x must be 2.
x = 2
BC=5cm
By calculations, deduce whether triangle ABC is a right angled triangle
ΔABC is not a right angled triangle.
Step-by-step explanation:
Perimeter = AB + BC + AC
⇒ AC = 22 - (8 + 5) = 22 - 13 = 9 cm
AC² = AB² + BC²
⇒ AC² = 9² = 81
⇒ AB² + BC² = 8² + 5² = 64 + 25 = 89
∴ AC² ≠ AB² + BC²
⇒ ΔABC is not a right angled triangle.
Answer:
The most cost effective company will be Painting USA that charge $700 to paint Paul house .
Step-by-step explanation:
As given
Paul is going to have the exterior of his home painted.
Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.
If it takes 25 hours to paint Paul’s house.
Total amount charge by Painting USA = Painting USA charges for come out and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .
Total amount charge by Painting USA = 75 + 25 × 25
= 75 + 625
= $ 700
As given
Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.
Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house
= 40 × 25
= $ 1000
Therefore the most cost effective company will be Painting USA that charge $700 to paint Paul house .