Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
Notice the picture
the rhombus, or kite, is really just 4 triangles
all sides are the same lenght in a rhombus,
thus, find the area of all of the triangles,
and you already have two sides given,
and then, add them up
or just find the length of one, and multiply times 4 :)
recall, area of a triangle = 1/2 bh
Total number of wheels in the toy shop = 37 wheels
Number of wheels for tricycles = 3
Number of wheels for go-carts = 5
- Since the total number of tricycles and go-carts are not given, we solve this question using Assumption.
- Let's assume: We have 4 tricycles and 4 go-carts
(4 x 3) + (4 x 5)
= 12 + 20
= 32 wheels. This assumption is wrong.
- Let's assume: We have 4 tricycles and 5 go-carts
(4 x 3) + (5 x 5)
= 12 + 25
= 37 wheels. This assumption is correct.
Therefore, we have 4 tricycles and 5 go-carts in the toy shop.
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Answer:
Choice A
1/17; no, they are dependent events
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Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total.
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.
Answer:
85,750 x 6% = $5,145.00
Step-by-step explanation:
