The answer would be D and E
Explanation: the number line shows any number less than 16, the filled in circle also means including 16. So it becomes any number 16 or less. So in both of the scenarios the max number of either students or dollars has to be 16.
Hope this helps
Answer:
x=46 4/5, x=46.8
Step-by-step explanation:
To find x-intercept/zero, substitute y=0
-222=5x-3(-7*0-4)
-222=5x-3(-7*-4) Solve
x= -234/5
x=46 4/5, x=46.8
Part A)<span>In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
we know that
</span>cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in
the answer Part A) is 11√2 in
Part B) <span>What is the exact value of sin 45° ?
</span>
we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2
Part C)
<span>What is the area of a regular hexagon with a side length of 4 m?
we know that
</span>In case of a regular hexagon <span> each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle
</span>
In an equilateral triangle with a side d<span>
the altitude </span>h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
<span>Therefore,
</span><span>h=d<span>√3/2
</span></span><span>Area of such a triangle is
</span>A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d<span> is
</span>S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²
the answer Part C) is 41.57 m²
Part D) <span>In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
</span>[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm
the answer part D) is 10 cm
Answer:
x=-3
y=3
Step-by-step explanation:
-27=-9x-18y equation 1
-5y-10x-15=0 equation 2
using equation 2 we have:
-10x -15 =5y
y= -2x -3 equation 3
using equation 3 in equation 1 we have:
-27=-9x-18(-2x -3)
-27= -9x +36x +54
-27-54 =27x
-81 = 27x
so we have:
x= -81/27
x=-3
y= -2(-3) -3
y= 6-3
y = 3
Answer:
The total height of coconut Tree = H + 10ft = 11.77 ft
Step-by-step explanation:
Given as,
The height of Kalei = 6ft
The distance of Kalei from the coconut Tree = 10 feet
Angle of elevation of kalei up to the coconut on tree = 30°
<u>Note : look at the pic attache </u>
From figure it is mention that
Total height of Tree = 6 ft + H
So, Tan 30° = 
Tan 30° = 
∴ H = 10 Tan 30° = 10 × 0.577 Note : tan 30° = 0.577
i.e H = 5.77 ft
Hence the total height of coconut tree = 6 + 5.77 = 11.77 ft Answer
