Answer:
x = 8√5
Step-by-step explanation:
for right triangle
c^2 = a^2 + b^2
with c is the hypotenuse; a & b are the other sides
(4 + 16)^2 = (4√5)^2 + x^2
400 = 80 + x^2
x^2 = 320
x^2 = 64(5)
√x^2 = √64(√5)
x = 8√5
Answer:
Lateral Area of a Cylinder = 2πrh
=2π x 3 x 6
=36π
Option D
Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by:
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:

On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;


Simplify:
= -2.5 sec and
= 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Answer:
The answer is 95.03
Step-by-step explanation
The formula that I used
A=πr^2
Area = π·5.5^2 ≈ 95.03318
Hope that helps :)
Answer:
y=120
Step-by-step explanation:
Y varies directly as x is written as

introducing a constant
y=kx
<em>from</em><em> </em><em>the</em><em> </em><em>ques</em><em>tion</em><em>,</em><em> </em><em>whe</em><em>n</em><em> </em><em>y</em><em>=</em><em>4</em><em>8</em><em>,</em><em> </em><em> </em><em>x</em><em>=</em><em>6</em>
<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>
<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>
<em>making</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by </em><em>divi</em><em>ding</em><em> </em><em>thr</em><em>ough</em><em> </em><em>by</em><em> </em><em>6</em>
<em>
</em>
k=48/6
k=8
<em>put</em><em> </em><em>the</em><em> </em><em>va</em><em>lue</em><em> </em><em>of</em><em> </em><em>k</em><em> </em><em>in</em><em> </em><em>the </em><em>expression</em><em> </em><em>y</em><em>=</em><em>kx</em>
<em>y</em><em>=</em><em>8</em><em>x</em>
from the question,the value of y when x=15 is given by
y=8×15
y=120.