Answer:
D
Step-by-step explanation:
Answer:
Right option is c 16 cm
Step-by-step explanation:
From the question,
The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.
Using pythagoras theorem,
a² = b²+c²...................... Equation 1
Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.
Given: a = 34 cm, b = 30 cm.
Substitute into equation 1
34² = 30²+c²
c² = 34²-30²
c² = 1156-900
c² = √256
c² = 16 cm.
Hence the right option is c 16 cm
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
Answer:
f(-2) = -15
Step-by-step explanation:
f(x) = 5x-5
Let x = -2
f(-2) = 5(-2) -5
= -10 -5
=-15
Use this equation to solve the problem:
x - (x * .25) = 40
This equation is saying the original price times itself by 25% is 40.
x - (x * .25) = 40
Simplify.
x - .25x = 40
.75x = 40
Divide both sides by .75.
x = 53.33
The original price was $53.33
