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torisob [31]
3 years ago
14

A rectangular garden has a total area of 48 sq yards. Draw and label two possible rectangular gardens with different side length

s that have the same area.
Mathematics
1 answer:
Pie3 years ago
6 0
                                  6yd
8yd                                                                                              a =48sq yd                                                                                                    (6×8=48)


                                         4yd 
12yd                                                                                      a=48sq yd                                                                                               (4×12=48)
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Use the drawing tool(s) to form the correct answer on the provided coordinate plane.
vlada-n [284]

Answer:

Step-by-step explanation:

X^2-6x+5=x^2-5x-x+5=x(x-5)-(x-5)=(x-5)(x-1)

Then we have (x-5)(x-1)=0 if x=5 or x=1.

Intersections on x are points (1,0) and (5,0), middle is (3,0).

Intersection with y is when put x=0 in equation, so you will get y=0-6*0+5, y=5. The point is (0,5).

From picture symmetry is line x=3.

7 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q
Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

\frac{nickel}{dime} = \frac{2}{3}

nickel = \frac{2}{3} dime

\frac{dime}{quarter} = \frac{2}{5}

quarter = \frac{5}{2}dime

So,

nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x  = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank    

3 0
3 years ago
Riley invested $1,000 in savings bonds. If bonds earn 6.75% interest compounded semi-annually, how much will riley earn in 15 ye
lara31 [8.8K]

Answer:

$2,706.86

Step-by-step explanation:

8 0
3 years ago
Shane has won 24 baseball and soccer trophies. The number of trophies he has for each activity is a multiple of 6. He has more s
Alex_Xolod [135]
So the possible numbers are multiples of 6 smaller than 24:

6
12
18

24 is not ok, since he won both kinds of trophies, so if he won 24 soccer trophies, he'd have no baseball trophies!

if he had 12 of one kind of trophies, he'd have 24-12=12 also 12 of the other trophies, and we know that he has more soccer trophies, so we reject this

so he has 6 and 18 trophies of one kind. Since he has more soccer trophies, this means that he has 18 soccer trophies and 6 baseball trophies!
4 0
3 years ago
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