Answer:
height = 14.2 m , base = 7.1 m
Step-by-step explanation:
let the base be b then height h = 2b
The area (A) of a triangle is calculated as
A = 
bh
Here A = 50 , then
× b × 2b = 50
b² = 50 ( take square root of both sides )
b = 
≈ 7.1 ( to the nearest tenth )
Then base = 7.1 m and height = 2 × 7.1 = 14.2 m
Answer:
-3 > x > 7
Step-by-step explanation:
Since the domain is the x, there are open circles, and it ends, then x could equal -3 > x > 7
Answer:
x = -2
y = 5
Step-by-step explanation:
Given two equations
1. 7x + 10y = 36
2. y = 2x + 9
Substitute 2x + 9 for y in equation 1.
We have
7x + 10y = 36
7x + 10(2x + 9) = 36
Distribute 10 into (2x + 9)
We have
7x + 10 x 2x + 10 x 9 = 36
7x + 20x + 90 = 36
27x + 90 = 36
Subtract 90 from both sides to eliminate 90 on the left side
27x + 90 - 90 = 36 - 90
27x = -54
Divide both sides by 27 to isolate x
27x/27 = -54/27
x = -2
Now substitute -2 into either equation to get y
Using equation 2, we have
y = 2x + 9
= 2 x -2 + 9
= -4 + 9
= 5
x = -2
y = 5
Check
7(-2) + 10(5) = 36
Step-by-step explanation:
= 2x - 9y + 4x + 11y
First of all combining like terms
So
= 2x + 4x - 9y + 11y
= 6x + 2y
Now putting values
= 6 (-2) + 2(4)
= - 12 + 8
= - 4
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
