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alexira [117]
3 years ago
10

Identify the property used in each of the steps​

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer: (1) Distributive (2) Commutative (3) Associative

              (4) Commutative  (5) Addition Property of Equality

<u>Step-by-step explanation:</u>

1) Distributive

(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5

2) Commutative

10x and -5y switched places

3) Associative

The parenthesis changed partners

4) Commutative

(12y - 5y) and 10x switched places

5) Addition Property

Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a
viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

\theta = 30 + 10 = 40

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(40) = \frac{BC}{42}

Multiply both sides by 42

tan(40) \times 42 = \frac{BC}{42} \times 42

35.24 = BC

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

\theta = 30

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(30) = \frac{BD}{42}

Multiply both sides by 42

tan(30) \times 42 = \frac{BD}{42} \times 42

24.25 = BD

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0
3 years ago
Please help if possible! <br> Match the angle relationship with each given angle pair.
steposvetlana [31]

Answer:

???

Step-by-step explanation:

7 0
3 years ago
The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

====================================================

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

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2 years ago
What is the average of pi
Oksanka [162]
The average of pi is 3.14 and is an irrational #
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Show the difference of the two sets
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There is 8 fruits in set A and 7 in set B
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