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2 years ago

3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse

Mathematics

2 answers:

diamong [38]2 years ago

7 0

the answer is assocative

docker41 [41]2 years ago

4 0

$\huge \bf༆ Answer ༄$

The property shown in the given question is an example of B. <u>Associative</u> property

$\sf3(4 \times 6) = (3 \times 4)6$

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

Will someone help me with this please

ANEK [815]

the first answer choice, associative property of addition

hope this helps. gl!

8 0

3 years ago

Read 2 more answers

What number could replace kkk below? \dfrac{k}{100} = \dfrac{1}{10} 100 k = 10 1 start fraction, k, divided by, 100, end fra

Ivanshal [37]

Answer:

Step-by-step explanation:

Given the equation;

$\dfrac{k}{100} = \dfrac{1}{10}$

We are to find the value of k.

Cross multiply;

$\dfrac{k}{100} = \dfrac{1}{10} \\10 \times k = 100 \times 1\\10k = 100\\$

Divide both sides by 10

$10k/10 = 100/10\\k = 10$

Hence the value of k is 10

6 0

3 years ago

HOW do you find the value of TAN 88 degrees 22' 45'' and COT 36 degrees???

storchak [24]

Part 1
We want to find the tan of 88 degrees, 22' 45''.

88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°

From the calculator, obtain
tan(88.3792°) = 35.3409

Answer: 35.3409

Part 2
We want to find cot(36°).

By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764

Answer: 1.3764

3 0

4 years ago

I need help please help me answer this it’s due in like 15 minutes

Svetach [21]

Answer:

If 8 Treasure Chests per 4 Hours so

12 Treasure Chests for 6 Hours

10 treasure Chests for 5 Hours

Step-by-step explanation:

If 8 Chests every 4 Hours, then 2 Chests is every 1 hour. Count up each hour, add 2 chests.

4 0

3 years ago