Answer:
b= 7 times the square root of 2
Step-by-step explanation: In a 45-45-90 degree triangle the base and the height both equal x and the hypotenuse is equal to x times the square root of 2.
Hope this helps
Answer:
Step-by-step explanation:
24 x 23 = 552
20 x 23 = 460
4 x 23 = 92
460 + 92 = 552
Answer:
The total volume of the whole figure is 576m³.
Step-by-step explanation:
First find the volume for the first figure.
Volume of a Rectangular Prism (formula): L•W•H
V = (15m)(12m)(2m)
V = 360m³
Now, find the volume for the second figure.
V = (6m)(12m)(3m)
V = 216m³
Finally, just add both volumes to find the total volume of the entire figure.
Vt = 216m³ + 360m³
Vt = 576m³
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
Square root of 11 because:
sqrt2^2 = 2
3^2 = 9
so C^2 or the hypotenuse would be the square root of 11
