so what you do is distribute the 0.9 to x and 1.4 to get 0.9x+1.26 then combine like terms 1.9x - 1.04= 1.6 then add 1.04 to both sides to get 1.9x = 2.64 divide 1.9 to both sides
answer:1.389 and if you round 1.39
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
Step-by-step explanation:
The formula of a volume of a pyramid:
![V=\dfrac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DBH)
B - base area
H - height
H - height of pyramids
Pyramid A:
![B=(10)(2)=200\ m^2](https://tex.z-dn.net/?f=B%3D%2810%29%282%29%3D200%5C%20m%5E2)
![V_A=\dfrac{1}{3}(200)H=\dfrac{200}{3}H\ m^3](https://tex.z-dn.net/?f=V_A%3D%5Cdfrac%7B1%7D%7B3%7D%28200%29H%3D%5Cdfrac%7B200%7D%7B3%7DH%5C%20m%5E3)
Pyramid B:
![B=10^2=100\ m^2](https://tex.z-dn.net/?f=B%3D10%5E2%3D100%5C%20m%5E2)
![V_B=\dfraC{1}{3}(100)H=\dfrac{100}{3}H\ m^3](https://tex.z-dn.net/?f=V_B%3D%5CdfraC%7B1%7D%7B3%7D%28100%29H%3D%5Cdfrac%7B100%7D%7B3%7DH%5C%20m%5E3)
![V_A>V_B\\\\V_A=2V_B](https://tex.z-dn.net/?f=V_A%3EV_B%5C%5C%5C%5CV_A%3D2V_B)
The volume of the pyramid A is twice as large as the volume of the pyramid B.
The new height of pyramid B: 2H
The new volume:
![V_{B'}=\dfrac{1}{3}(100)(2H)=\dfrac{200}{3}H\ m^3](https://tex.z-dn.net/?f=V_%7BB%27%7D%3D%5Cdfrac%7B1%7D%7B3%7D%28100%29%282H%29%3D%5Cdfrac%7B200%7D%7B3%7DH%5C%20m%5E3)
The volume of the pyramid A is equal to the volume of the pyramid B.
It would quadruple.
Basically, it will quadruple because you are multiplying, which doesn't make much sense actually.
An example is with a 2 by 2 figure, you would get 4 squared as the area, but if you double both sides, 4 by 4, you would get 16 squared as the area.
Answer:
Rational
Step-by-step explanation:
A rational number is a number with two or fewer integers.
-51/5 = -5.2
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!