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2 years ago

Unit 6 homework 3 proving triangles similar

Mathematics

1 answer:

bazaltina [42]2 years ago

7 0

1.Not similar (Not possible to determine AA)

2.AA

3.AA

4.AAA

5.Not similar(Not possible)

6.Not similar

7.Not similar

8.AA

9.AA

10.Not similar

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Answer:

Step-by-step explanation:

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A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th

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To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism. You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

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2 years ago

Which expression is the best estimate of 1.25 + (-2.69)?

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Answer:

C. 2 + (-3)

Step-by-step explanation:

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2 years ago

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.

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2 years ago

Plz helpppp:Tammy conducted a survey to find the favorite subject of the students at her school. She asked 25 students from her

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Answer: Tammy's sample may not be vaild because she surveyed the students only from her class and it is likely that other classes might not like the subject maths. She might get the accurate results by surveying a larger number of people in the school instead of just her class.

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