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2 years ago

Select the two figures that are similar to each other.

Mathematics

2 answers:

kakasveta [241]2 years ago

7 0

Answer:

B and D

Step-by-step explanation:

if they had letters it would be

A B

C D

options B and D are similar

motikmotik2 years ago

3 0

Answer:

II and IV

Step-by-step explanation:

We are given that four figures

We have to find two similar figures.

Similar figures: Two triangle are called similar when the ratio of corresponding sides are equal and corresponding angles are equal.

In Second and fourth figure

Each angle of second figure is equal to its corresponding angle of fourth figure.

Ratio of corresponding sides

$\frac{6}{12}=\frac{1}{2}$

$\frac{2.5}{5}=\frac{1}{2}$

$\frac{6.5}{13}=\frac{1}{2}$

$\frac{6}{12}=\frac{2.5}{5}=\frac{6.5}{13}$

Hence, second and fourth figure are similar to each other.

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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

2 years ago

A student solved this problem and said the answer is miles.

Gre4nikov [31]

B. <span>No, the answer is not reasonable. It should be about 2 miles.
</span>

7 0

2 years ago

Read 2 more answers

A rectangular garden's length is 5 feet longer than its width. If its perimeter can be represented using the function P(x) = 4x

lara31 [8.8K]

4x+10=38
4x=28
x=7
garden is ,7 by ,12

6 0

2 years ago

Consider the radical equation √c+22 = c + 2.

dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

7 0

2 years ago

HELP OR NO PRESENTS FOR YOU

Grace [21]

Answer:

g= (9,8) f= (-5,1)

Step-by-step explanation:

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2 years ago