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UNO [17]
3 years ago
11

Find the area of a circle if x=12 and y=3

Mathematics
1 answer:
dlinn [17]3 years ago
8 0

Answer:

12.3693169

Step-by-step explanation:

x^2+y^2=r^2

(12)^2=(3)^2=sqroot(153)

=12.3693169

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Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
3 years ago
Enter the words as an expression.<br><br> Subtract 15 from 60, then divide by 9.
Andru [333]

Answer:

60-15/9

Step-by-step explanation:

Subtract (-) 15 from 60: 60-15

Divide (/) by 9: 60-15/9

7 0
3 years ago
Read 2 more answers
Given that 3+√5/4−√5 = a + b√5, find the values of “a” and “b”<br>URGENT PLZ ANSWER!
Vikki [24]

Answer:

Step-by-step explanation:

hello :

√(5/4)= √5/ √4 =√5/2 = (1/2)√5

3+√5/4−√5 = 3+(1/2)√5   so : a=3  and  b= 1/2

6 0
3 years ago
Fractions to decimals like 5/37 and 2/16
Zina [86]
Answered respectively;
1) 0.13514
2) 0.125
5 0
3 years ago
Read 2 more answers
Which relationships are likely to have a positive association? .
uysha [10]

Answer:

A, C

Step-by-step explanation:

A. the distance traveled on a trip and the travel time  YES

B. the distance remaining on a trip and the travel time  NO

C. the amount of money spent and the the number of shirts bought  YES

D. the height of an eighth-grade student and the time to complete a puzzle  NO

E. the amount of money owed on a computer and the time making payments  NO (the amount of money owed drops with each payment made)

7 0
2 years ago
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