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Irina18 [472]
2 years ago
14

The area of a rectangular garden 42 square meters. The width is 5 meters longer than one-third of the length. Find the length an

d the width of the garden Use the formula, area =length x width

Mathematics
1 answer:
yan [13]2 years ago
4 0
The width is 9 the length is 12
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The measure of an angle is 90 degrees what is the measure of it’s supplementary angle
cricket20 [7]

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.So the equation to solve this would be simply 90 multiply 2 which gives you the answer of 180 degree in this situation.

7 0
3 years ago
Which property was use to simplify this expression? (will be marked brainliest)
sdas [7]

Answer:

  Distributive property

Step-by-step explanation:

The distributive property tells you ...

  a(b+c) = ab +ac

Here, you have a=4, c=2, so ...

  4(b+2) = 4·b + 4·2 = 4b +8

5 0
3 years ago
Read 2 more answers
How do find the general solution of sin7A=sinA+sin3A
const2013 [10]

Step-by-step answer:

Solve  

sin(7a) = sin(3a) + sin(a) ..................(1)

Let  

F(a)=sin(7a)-sin(3a)-sin(a)..................(2)

the equivalent problem to (1) is  

F(a)=0 ......................................(3)

F(a)

=sin(7a)-sin(3a)-sin(a)....apply trig sum identities

=sin(6a+a) - sin(3a) - sin(a)

=sin(6a)cos(a)+cos(6a)sin(a) -sin(3a) - sin(a)

apply double angle formulas

=(2sin(3a)cos(3a))cos(a) +

(cos^2(3a)-sin^2(3a))sin(a) -sin(3a) - sin(a)

simplify using sin^2(p)+cos^2(p) = 1

= (2sin(3a)cos(3a))cos(a) +

(1-2sin^2(3a))sin(a) - sin(3a) - sin(a)

simplify algebraically, note 1*sin(a) cancels sin(a)

= (2sin(3a)cos(3a))cos(a) -2sin^2(3a)sin(a) - sin(3a)

factor out sin(3a)

= sin(3a)(2cos(3a)cos(a)-2sin(3a)sin(a) - 1)

now use trig sum formula to reduce to cos(4a)

= sin(3a)(2cos(4a)-1)

So

F(a) = 0   if sin(3a) =0 ...................(4)

or

F(a) = 0   if cos(4a) = 1/2 ................(5)

using the zero product theorem

From (4)

sin(3a) = 0  

3a = sin-1(0) = n*pi

a = n*pi/3  ................................(6)

From (5)

cos(4a) = 1/2

4a = cos^-1(1/2) = 2n*pi +/- pi/3

a = (2n+1/3)pi/4 or (2n-1/3)pi/4............(7)

Combine (6) and (7) to give the general solution

a = n*pi/3 or (2n+1/3)pi/4 or (2n-1/3)pi/4 .....(8)

For checking, use your calculator to substitute every solution given in (8) into the function F(a) in equation (1) to confirm that the result is almost equality.  The small difference will be due to rounding errors of the calculators.  On mine, they work out to be of the order of +/- 10^-15.

6 0
3 years ago
Complete the chart please :)
Viktor [21]

Answer:

x=9   output 1=20.25

Output 2 equals 27

Step-by-step explanation:

This function is constant, so you do input times 2.25 for each.

The box below 6 is 9 because we are counting by 3

9 x 2.25=20.25

12 x 2.25=27

Hope this helped :)

8 0
2 years ago
Read 2 more answers
Solve step by step: <br> 10/2= a/a-9<br> Note: I need this NOW!!!
Ksju [112]
For this question you can say:
10/2 = a/a-9 is equal to 2a = 10a - 90 
so now you should add -10a on both sides:
2a -10a = -90 ⇒ -8a = -90 ⇒ a = -90/-8 ⇒ a = 11.25 :)))
i hope this is helpful
have a nice day 
3 0
3 years ago
Read 2 more answers
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