This is the assumption method ;)
Take all tickets to be adult tickets
$9 x 553 = $4977
Then..... $4977 - $3936 = $1041
The difference between the child and adult ticket is $3, so divide $1041 by $3
$1041 divided by $3 = 347
347 is the number of <em>child </em>tickets sold
347 x $6 = $2082
So 553 - 347 = 206 ( no. of adult tickets )
206 x $9 = $1854
Child tickets sold : 347
Adult tickets sold : 206
:0 ITS MAGIC IM SO SMART
Answer:
D^1 should be (28,0)
Step-by-step explanation:
a dilation is performed by multiplying the x and y coordinates by the scale factor. D(7,0)... (7×4,0×4).... D^1(28,0)
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
Answer:
=25343 grams or 25 kg 343 g.
Step-by-step explanation:
1 kg = 1000 g
∴ 4 kg = 4000 grams
and the 4 kg 250 g would equal = 4250 grams.
∴ 2 kg = 1000 g
2 kg 90 g = 2000 grams + 90 g = 2090 grams
∴ 19 kg = 19000 grams
and 19 kg 3 grams = 19000 grams + 3 grams = 19003 grams
now we will add all of the values together to get the final answer.
4250 grams + 2090 grams + 19003 grams = 25343 grams or 25 kg 343 g.
Hope this helps!!
(a)

or, via symmetry

____________
(b)
By the chain rule:

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

Differentiating with respect to theta

2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
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