Answer:
discount = 9
new price = 36
Step-by-step explanation:
The discount is the price times the discount percent
45 * 20%
Change to decimal form
45*.20
9
The new price is the original price minus the discount
45-9 = 36
The amount of water needed to fill the swimming pool completely is 864 cubic meters.
Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.
"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.
As we know, the swimming pool is in cubic shape.
So, we will find the volume of cube using the formula V=l×b×h.
Here, l=12m, b=12m and h=m.
Now, we want to substitute the values in the formula, we get
V=12m×12m×6m
V=864m³
Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.
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Answer:
x = 2.3
Measure of arc XY = 76° ⇒ answer (D)
Step-by-step explanation:
∵ arc XY congruent to arc YZ
∴ XY = YZ ⇒ chords subtended by equal arcs are equal
∴ 3x = 6.9 ⇒ x = 6.9/3
∴ x = 2.3
In ΔOXY
∵ OX = OY radii
∴ m∠OXY = m∠OYX
∵ m∠OXY = 52°
∴ m∠OYX = 52°
∵ The sum of angles of a Δ = 180°
∴ m∠XOY = 180 - 2 × 52 = 76°
∵ ∠XOY is central angle subtended by arc XY
∴ The measure of arc XY = m∠XOY = 76°
Answer:
x² + (y+3)² = 4²
Step-by-step explanation:
A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.
Starting from the general equation of a circle, (x - h)² + (y - k)² = r²
and substituting the givens (h = 0, k = -3, r = 4), we get:
x² + (y+3)² = 4². This is Answer B.