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3 years ago

Helppppp Enter the equation of the circle with the given center and radius.

Mathematics

1 answer:

harina [27]3 years ago

6 0

(x - 3)^2 + (y + 2))^2 = 49

Step-by-step explanation:

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Alex17521 [72]

Answer:

39°
27°
28°

Step-by-step explanation:

$Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = \frac{adj}{hyp} \\Cos \:\alpha = \frac{25}{32}\\\\\alpha = Cos^-^1\frac{25}{32} \\\alpha =38.62\\\\\alpha = 39$

$Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = \frac{opp}{adj} \\Tan\:\alpha = \frac{8}{16} \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27$

$Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = \frac{opp}{hyp} \\Sin \:\alpha =\frac{19}{41}\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28$

7 0

4 years ago

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 mete

OlgaM077 [116]

Answer:

5 meters

Step-by-step explanation:

If the smallest rectangle has a length of 8 meters, and a perimeter of 24 meters then its width is given by:

$24 = 2*8+2*W_1\\W_1= 4\ meters$

We can conclude that the width is half of the length for both rectangles. Therefore, the width of the larger rectangle, with a perimeter of 30 meters, is:

$30 = 2*W_2+2*L_2\\30 = 2*W_2+4*W_2\\W_2=5\ meters$

The width of the original rectangle is 5 meters.

6 0

4 years ago

Read 2 more answers

Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the

soldi70 [24.7K]

Answer: 4.2495 feets

Step-by-step explanation:

Given the following :

Rate of change (speed) when rock hits the lake surface = - 3in/s

Distance or depth after 5 seconds :

Distance = rate of change * time

Distance = (- 3 in/s × 5) = - 15 inches

1 inch = 0.0833 feet

15 inches = (-15 * 0.0833) = - 1.2495 feets

Distance between Lisa's hand and lake surface = 3 feets :

Distance between Lisa's hand and rock after 5 seconds :

(3 feets + 1.2495 feets) = 4.2495 feets

5 0

3 years ago

An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets we

lisabon 2012 [21]

Answer:

work is shown and pictured

6 0

3 years ago

An amount was shared in the ratio 8:6:9:14:12.The largest share was56.What was the total amount shared?

lutik1710 [3]

Answer:

196

Step-by-step explanation:

Since the largest share was 56 and the largest ratio is 14, then

56 ÷ 14 = 4 ← value of 1 part of the share, thus

8 parts = 8 × 4 = 32

6 parts = 6 × 4 = 24

9 parts = 9 × 4 = 36

14 parts = 14 × 4 = 56

12 parts = 12 × 4 = 48

Total the amounts

total = 32 + 24 + 36 + 56 + 48 = 196

6 0

3 years ago