Answer:
80
Step-by-step explanation:
in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x
that is
if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees
since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees
therefore y=100
now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees
that is
x+y=180
we know that y = 100
therefore,
x+100=180
collect like terms and
x = 180-100
therefore,
x= 80
thank you!!
t= 2.25 secs
Step-by-step explanation:
Step 1 :
Equation for motion with uniform acceleration is v = u+ at
where v is the final velocity
u is the initial velocity
a is the acceleration due to gravity
and t is the time
Step 2 :
Here , v = 0 because at the highest point final velocity is 0.
u = 72 feet/sec
a = -32 ft/sec^2
We need to find the time t.
Substituting in the equation we have,
0 = 72 -32 * t
=> 32 t = 72
=> t = 72/32 = 2.25 secs
Answer:
a. 72 inches
b. 21.3 inches
Step-by-step explanation:
12:27
a. 32 inches in height
32/x = 12/27
Set these fractions equal to each other
32= 12
12 times 2.6(repeating decimal) equals 32
So to find the width do 2.666... time 27 and you get 72 inches.
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b. 48 inches in width
Again set the fractions equal to each other.
x/48 = 12/27
48 divided by 27 equals 1.77777....
To get height, do 1.77777.... times 12 and you get 21.3333333
But since it is to the nearest tenth, you get 21.3 inches
Hope that helps!
Answer:
The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .
Step-by-step explanation:
Given as :
The speed = s = 2000 ft per min
Now, ∵ 5280 feet = 1 miles
so, 1 feet = 
miles
∴ 2000 feet = × 2000 miles
i.e 2000 feet = 0.378 miles
<u>Again</u>
∵ 1 minute = 
hour
So, The speed in miles per hour
s = 
∴ s = 
i.e s = 2.268 miles per hour
Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer
Answer:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
