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schepotkina [342]
3 years ago
11

The circumference of a circle is 147 cm. What is the radius of the circle?

Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

r≈23.4cm

Step-by-step explanation:

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Find the missing variable for a tralezoid. A=68^2 b=<br> h=4 B=21
Bezzdna [24]
The answer is:  " 2291 units " .
____________________________________________
Explanation:
____________________________________________
Formula for "Area of a trapezoid" :
____________________________________________
Area = (1/2) * (base length 1 + base length 2) * height;

or:  A = (1/2) * (b + B) * h.

We are missing the value for "b" one of the base lengths.

However, since:  A = 68² (given) ;  B (the other base length) = 21;  and the perpendicular height, "h" = 4 ;  we can plug this values into the formula, and solve for "b" ;
________________________________________________
A = (1/2) * (b + B) * h ;  ↔  68² = (1/2) * (b + 21) * 4 ;

 ↔  <span>4624 = 2 (b + 21) = 2b + 42 ;

</span> ↔  <span>4624 = 2b + 42 ; 

</span> ↔  <span>2b + 42 = 4624 ;

Subtract "42" from each side of the equation:

     2b + 42 - 42 = 4624 - 42 ;

to get:   2b = 4582 ;
</span>___________________________________________________
    Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
___________________________________________________
             2b / 2 = 4582 / 2 ;
___________________________________________________
 to get:    b = 2291 units.
___________________________________________________
6 0
4 years ago
Read 2 more answers
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
4 years ago
Are you all trying to torture me. i might get kicked from brainly, but people do NOT answer this .. please XD.
diamong [38]

one more person has to answer now lol

8 0
3 years ago
Read 2 more answers
Express in trigonometric form PLEASE... -6+6 sqrt. 3i
Alenkinab [10]

Answer:

6sqrt2(cos(-5pie/4)+isin(-5pie/5))

Step-by-step explanation:

8 0
3 years ago
Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights w
mamaluj [8]

The answer is Y

Step-by-step explanation:

You have to compare the numbers with conditions both in Rows and Columns.

5 0
2 years ago
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