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natka813 [3]
3 years ago
6

Consider this dilation

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

a) Reduction because the second figure is smaller than the original one.

b) The scale factor is 2 units.

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What is sin45°*sin30°*cos60°
NNADVOKAT [17]

Answer:

\frac{\sqrt{2} }{8}

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= \frac{\sqrt{2} }{2} × \frac{1}{2} × \frac{1}{2} = \frac{\sqrt{2} }{8}

6 0
2 years ago
There are 3 yellow, 5 red, 4 blue, and 8 green marbles in a bag. Once a marble is selected, it is not replaced. Find the probabi
Tema [17]
The probability of selecting two red marbles would be 1/19
8 0
2 years ago
The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +
Alex_Xolod [135]

Answer:

Step-by-step explanation:

Y=8(32)+12

Y=256+12

Y=268 (Sandra)

Y=8(24)+12

Y=192+12

Y=204 (Bela)

204+268=472

He earns $472/month

4 0
3 years ago
Read 2 more answers
4. Two savings accounts each start with a $200 principal and have an interest rate of 5%. One account earns simple interest and
slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
  • r is the rate in decimal
  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

6 0
3 years ago
You have a credit card with a balance of 1187.92 and the interest is 12.25% apr. a late fee of 30.00 is charged for payments aft
Travka [436]
We start with
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With the interest and the late fee charge
$1,187.92 (1 + 0.1225/12) + 30 = $1,230.05
With the interest minus the payment of $125
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The new principal after the latest payment is $1,117.60.
7 0
3 years ago
Read 2 more answers
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