Answer:
2 and -3
Step-by-step explanation:
Let the numbers be x and y ∴ 4x -2y =-16......................Eqn 1
and x+y=-1.................................Eqn 2
this ⇒x=-1-y. Substitute the value of x to be=-1 -y and putting in Eqn 1 yields the following 4(-1-y)-2y =-16 0r -4-4y-2y=-16
⇒-4-6y=-16 0r =-6y=-12 ∴y is 2
⇒ and x is -3
The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.
The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in
Answer:
She paid back $192 in interest
Step-by-step explanation:
A = P(1+r)^n
P = $1,200
r = 10.5% = 0.105
n = 18 months = 18/12 = 1.5 years
A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392
Amount = $1,392
Principal = $1,200
Interest = amount - principal = $1,392 - $1,200 = $192
She can expect 522 people to take the advanced course.
