Answer:
c=10 units
Step-by-step explanation:
The Pythagorean Theorem states that a^2+b^2=c^2.
This means that the sides are represented by a^2+b^2. In order to find the hypotenuse in this problem, we substitute a and b for 6 and 8.
6^2+8^2=c^2
we do what it shows us and get:
36+64=c^2
from there, we add the left side altogether then square each side to get rid of the root.
100=c^2
√100=√c^2
and we get c =<em> 10 units.</em>
Answer:
-2.1
Step-by-step explanation:
2.5(x+4)=4.75
or,2.5x+10=4.75
or,2.5x=4.75-10
or,2.5x= -5.25
or,x =-5.25/2.5
or,x= -2.1
∴x=-2.1
(Ans)
Hope you find it helpful.........
<span>A study found that in a certain region housing prices had decreased by half over a ten year period. A dollar bill is used to depict the initial average cost of a home in this region. A second dollar bill to depict the average housing price at the end of the ten year period should be <em>ONE-FOURTH</em> the <em>AREA</em> of the original bill. </span><span />
Answer:
a. 277.3 m²
b. $307.86
Step-by-step explanation:
a. Area of the wall to be painted = area of rectangle - area of triangle
= L × W + ½×a×b×sin θ
L = 17 m
W = 14 m
a = 8.7 m
b = 9.5 m
θ = 72°
Plug in the values into the equation
Area of the wall = (17×14) + (½*8.7×9.5×sin 72)
Area of the wall = 238 + 39.3024105
Area of the wall to paint ≈ 277.3 m²
b. 20 liters of paint of 1 container cost $21.99
If 1 liter of paint covers 1m², therefore,
277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.
20 liters = 1 container of paint
277.3 liters = 277.3/20 = 13.865 ≈ 14 containers
1 container = $21.99
14 containers = 21.99 × 14 = $307.86
