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Likurg_2 [28]
3 years ago
10

SIMILAR TRIANGLES Solve for x.

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

<h2>x = 21</h2>

Step-by-step explanation:

If ΔABC and ΔAED are similar (AAA), then coresponding sides are in proportion.

\dfrac{AB}{AE}=\dfrac{AC}{AD}=\dfrac{BC}{ED}

We have

AB=15,\ BC=x,\ AE=45,\ ED=63

Substitute:

\dfrac{15}{45}=\dfrac{x}{63}          <em>cross multiply</em>

45x=(15)(63)

45x=945          <em>divide both sides by 45</em>

x=21

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PLEASE HELP ME WITH THESE 2 QUESTIONS PLZ
antiseptic1488 [7]

Answers: a = \frac{3\pi}{2}, b = (0, -1), c = C, d = 0

<u>Explanation:</u>

a) Add 2π (\frac{4\pi}{2}) until you get a positive value.

-\frac{\pi}{2} + \frac{4\pi}{2} = \frac{3\pi}{2}, which is located on the y-axis at 270°

b) Look at the Unit Circle to find the coordinates of \frac{3\pi}{2} = (0, -1)

c) cot = \frac{adjacent}{opposite} = \frac{x}{y}

d) \frac{x}{y} = \frac{0}{-1} = 0

*****************************************************************************

Answer: 471.24

<u>Explanation:</u>

angular speed (w) = \frac{1(revolution)}{30(minutes)} *\frac{2\pi(radians)}{1(revolution)} *\frac{60(minutes)}{1(hour)}

                            = 4π radians/hour

linear speed (v) = r * w

                          = \frac{75(meters)}{2} * \frac{4\pi(radians)}{hour}

                           = 150π meters/hour

                           ≈ 471.24 meters/hour

3 0
3 years ago
Jdhdisnydiwjduekdhuejdheuejheuejejejeu boommmmm
djverab [1.8K]

Answer:

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4 0
3 years ago
Read 2 more answers
Does anyone know how to do these maths question???
Dmitry_Shevchenko [17]

Answer:

Part 1) f(g(x))=3(x^2)+2

Part 2) g(f(5))=289

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

f(x)=3x+2

g(x)=x^{2}

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

f(g(x))=3(x^2)+2

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

g(f(x))=(3x+2)^2

For x=5

g(f(5))=(3(5)+2)^2

g(f(5))=289

3 0
3 years ago
A multiplication problem in which the product is between 0.05 wnd 0.75
umka21 [38]
4 x 0.15 = 0.6 and 0.6 is between 0.05 and 0.75
3 0
4 years ago
A child is crawling at a pace of 176 inches every 3.37 min. Provided that this child is able to maintain this same pace, how man
Mice21 [21]

The child crawled 18 meters in 823 seconds.

Given:

A child is crawling at a pace of 176 inches every 3.37 minutes.

To find:

The distance covered (in meters) by a child in 823 seconds.

Solution:

Distance covered by a child in 3.37 minutes = 176 inches

Distance covered by a child in a 1 minute =   \frac{176 inches}{3.37}

1 minute = 60 seconds

Distance covered by a child in 60 seconds =  \frac{176 inches}{3.37}

Distance covered by a child in a 1 second:

=\frac{176 inches}{3.37}\times \frac{1}{60}

Distance covered by a child in 823 seconds:

=\frac{176 inches}{3.37}\times \frac{1}{60}\times 823=716.36 inches

In 1 meter there are 39.37 inches.

1 meter=39.37 inches\\1 inches=\frac{1}{39.37} meters\\716.36 inches=\frac{716.36 inches}{39.37} m=18.1956 m\approx 18 m

The child crawled 18 meters in 823 seconds.

Learn more about the unitary method here:

brainly.com/question/19359186

brainly.com/question/20065206?referrer=searchResults

6 0
3 years ago
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