Answer:
x = 5
Step-by-step explanation:
Given that,
NL = 5x, LM = 3x, and NL = 15
L is between M and N.
To find,
The value of x.
Solution,
It is mentioned that, L is between M and N. So,
LM = LN
Put all the values,
3x = 15
⇒ x = 5
So, the value of x is equal to 5.
Reference,
brainly.com/question/19871240
Answer:
27
Step-by-step explanation:
135 divided by 5 (divide both sides by 5)
Answer:
285.6 square units
Step-by-step explanation:
The shaded area can be described a a whole circle less a 90° segment, or as a 3/4 circle with a right triangle added. The formula for the segment area is that of a sector less the triangle, so the computation is the same either way.
__
<h3>3/4 circle area</h3>
The area of a circle is given by ...
A = πr²
so 3/4 of a circle is 3/4 this value:
3/4 circle area = (3/4)(π)(10²) = 75π . . . . square units
<h3>Triangle area</h3>
The area of the isosceles right triangle is given by ...
A = 1/2s²
A = 1/2(10²) = 50 . . . . square units
<h3>Shaded area</h3>
The shaded area is the sum of these two ...
shaded area = 3/4 circle area + right triangle area
shaded area = 75π + 50 ≈ 285.6 . . . . square units
Answer:
The correct option is B
B) (1/729)c²⁷
Step-by-step explanation:
Lets write it all in an understandable form.
The given expression is:
( 9c ⁻⁹ ) ⁻³
The given options are:
A) 9c²⁷
B) (1/729)c²⁷
C) 729c²⁷
D) 9/c²⁷
Lets find the solution. The given expression is:
( 9c ⁻⁹ ) ⁻³
Multiply the outer power -3 with each term inside the bracket. It can be rewritten as.
(9⁻³) ( c ⁽⁻⁹⁾⁽⁻³⁾)
A negative power can be converted into positive by taking it down in the denominator.
The multiplication (-9)(-3) results in 27.
The equation can be written as:
( 1/9³) ( c²⁷)
Where 9³ = 729
( 1/729)( c²⁷)
which is equal to option B
3x^2 - 8= 40
add 8 to both sides
3x^2= 48
divide both sides by 3
x^2= 16
take the square root of x and 16
x= 4
ANSWER: x=4
Hope this helps! :)