4. which property is illustrated by the following statement?

2 answers:

8 0

2 x ( 6 ) = ( 6 ) 2 x
A B = B A
Answer:
B ) Commutative property of multiplication
Another statement:
5 g + 7 = 7 + 5 g
A + B = B + A
Answer:
C ) Commutative property of addition.

julia-pushkina [17]3 years ago

8 0

The answer for #5 is C.

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Madisyn is planting crops in a triangular garden. She is trying to find the amount of fencing

MrRissso [65]

Answer:

Fencing needed = 20.8 units

Step-by-step explanation:

From the figure attached,

Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).

We have to find the length of fence required to cover the triangular garden.

Amount of fencing required = Perimeter of the triangular garden

Perimeter of the garden = AB + BC + AC

Formula to get the distance between A and B,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

AB = $\sqrt{(0-6)^2+(6-5)^2}$ = $\sqrt{37}$

BC = $\sqrt{(6-5)^2+(5+1)^2}$ = $\sqrt{37}$

AC = $\sqrt{(0-5)^2+(6+1)^2}$ = $\sqrt{74}$

Perimeter = $\sqrt{37}+\sqrt{37}+\sqrt{74}$

= 6.08 + 6.08 + 8.60

= 20.76

≈ 20.8 units

Therefore, amount of fencing required to cover the triangular park is 20.8 units.

3 0

2 years ago

nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t

tankabanditka [31]

Answer:

Step-by-step explanation:

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

$c^2 = a^2 + b^2 -2ab cos \ C$

where;

a = 110

b = 104

Cos C = 26°

Then;

$c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}$