Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = 
= 
( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
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using the tangent ratio in the right triangle
tan x = 
= 
, then
x = 
( ) ≈ 57.8° ( to the nearest tenth )
Answer:
4
Step-by-step explanation:
with a 30-60-90 triangle the hypotenuse is 2x while the smaller 30 side is x. This means that LJ is 4
. Then for a 45-45-90 the hypotenuse is 
compared to a leg being X. So you remove the leaving you with 4
Answer:(x+11/6)^2 = 169/36
Step-by-step explanation:
3x^2 + 11x - 4 = 0
x^2 + (11/3)x = 4/3
(x+11/6)^2 = 169/36
Answer:
48
Step-by-step explanation:
Volume of triangular prism = Base Area × length of prism
Base area = ½*base*height
base = c = 3 cm
height = b = 4 cm
Base area = ½*3*4 = 6 cm²
Length of prism = d = 8 cm
Therefore,
Volume = 6 × 8 = 48 cm³
The value of the equation for "a" in terms of x and y is (y+1)/(x-3)²
Step-by-step explanation:
The equation is a classic example of a binomial equation in 2 variables and one constant.
Given- y=a(x-3)²-1
Transferring 1 to the left-hand side
y+1=a(x-3)²
We can opt for various method from now on like we can divide both the sides by (x-3)² or we can possibly transfer (x-3)² to the left-hand side to get the value of "a" in terms of "x" and "y"
∴ Opting for the first method, we get
(y+1)/(x-3)²=a
Thus the required value of "a" in terms of the variable "x" and "y" is as follows-
a= (y+1)/(x-3)²
