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Kipish [7]
3 years ago
8

a rectangle is inscribed in a circle of radius r. if the rectangle has length 3x, write the area of the rectangle as the product

of two function in terms of x and r
Mathematics
1 answer:
svetlana [45]3 years ago
5 0
Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)
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63% of 300 is what number ​
PolarNik [594]

Answer:

189

Step-by-step explanation:

You take 63% make it a decimal by dividing it by 100 and then you multiply it with 300. 300*.63=189.

6 0
3 years ago
Read 2 more answers
At 3 p.m. an oil tanker traveling west in the ocean at 14 kilometers per hour passes the same spot as a luxury liner that arrive
schepotkina [342]
<span>N(t) = 16t ; Distance north of spot at time t for the liner. W(t) = 14(t-1); Distance west of spot at time t for the tanker. d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t. Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is N(t) = 16t Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is W(t) = 14(t-1) The distance between the 2 ships is easy. Just use the pythagorean theorem. So d(t) = sqrt(N(t)^2 + W(t)^2) If you want the function for d() to be expanded, just substitute the other functions, so d(t) = sqrt((16t)^2 + (14(t-1))^2) d(t) = sqrt(256t^2 + (14t-14)^2) d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) ) d(t) = sqrt(452t^2 - 392t + 196)</span>
3 0
3 years ago
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!
nexus9112 [7]

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

4 0
3 years ago
If m2=40 what is the m5
hammer [34]

Answer:

100

Step-by-step explanation:

Solve for m

2m= 40

Divide both sides 2

m= 20

5(20)= 100

8 0
3 years ago
kai pixked 11 times as many blueberries as nico. . together they picked 936. hiw many blueberries did each boy pick?
Masja [62]
N = how many blueberries Nico picked
11n = how many blueberries Kai picked

11n + n = 936
12n = 936
n = 78

11 (78) = 858 blueberries

Nico picked 78 and Kai picked 858
4 0
3 years ago
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