The answer is: (z - 6)(z + 15)
z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)
Answer:
b) 3cd+3 1/3c-3d
Step-by-step explanation:
It can work well to factor the variables out so you can see the coefficients more easily:
6cd+3c-7d-3cd+4d+1/3c
= (6 -3)cd +(3 +1/3)c +(-7 +4)d
= 3cd +(3 1/3)c -3d
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
You set the corresponding sides equal to each other and solve for x as you would in a normal equation
Answer:
128.605 m²
Step-by-step explanation:
Find the areas of the top triangle, and the bottom triangle and add them together.
The top triangle consists of 2 smaller triangles. Look at the larger one, the height is 4.93 and the base is 17. The area is...
A = (1/2)(17)(4.93)
A = 41.905 m²
The bottom triangle consists of 2 smaller triangles. Look at the larger one, the height is 10.2 and the base is 17. The area is...
A = (1/2)(17)(10.2)
A = 86.7 m²
The total area is 41.905 m² + 86.7 m² = 128.605 m²
