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murzikaleks [220]
1 year ago
9

I need help explanation if possible

Mathematics
1 answer:
viva [34]1 year ago
3 0

Answer:

y = 16.

Step-by-step explanation:

The ratio of corresponding sides of similar triangles are the same.

The small and large triangles are similar ( - that is corresponding angles are congruent).

So 2/(2+8) = x / 20

2/10 = x/20

10x = 40

x = 4.

Therefore y = 20 -4 = 16.

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Please help fassssst
Zarrin [17]

Answer:

\dfrac{9}{2}

Step-by-step explanation:

You can do this using the quadratic equation:

x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

Let's first setup our expression:

4x² + 12x = 135

the quadratic formula is:

ax² + bx + c = 0

4x² + 12x - 135 = 0

Then:

a = 4

b = 12

c = -135

Now we plug in our coefficients and solve:

x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}

We solve for both to determine the positive one:

x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}              x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}

x =\dfrac{-12+ \sqrt{144+2160}}{8}                        x =\dfrac{-12- \sqrt{144+2160}}{8}

x =\dfrac{-12+ \sqrt{2304}}{8}                                 x =\dfrac{-12- \sqrt{2304}}{8}

x =\dfrac{-12+ 48}{8}                                        x =\dfrac{-12- 48}{8}

x =\dfrac{36}{8} = \dfrac{9}{2}                                           x =\dfrac{-60}{8} = \dfrac{-15}{2}

So if you are looking for a positive solution, just take the positive one as x.

8 0
2 years ago
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
ILL MARK BRAINLIST Which of the following data sets is represented in the dot plot?
arlik [135]

Answer:

1'3'5'4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four scor
vichka [17]

Answer: There are 20 years in a score. The year he is talking about is 1776

Step-by-step explanation:

4 0
3 years ago
Tomnhas read 11 pages of a 215 page book he will read 6 pages each day until he fi ishes the book which equation can be used to
Ierofanga [76]

Answer: 34 days

Step-by-step explanation:

To find out the amount of pages he needs to read each day at the rate of 6 pages/day is 204/6. (we divide 204 by 6 because that is 215-11, since he already read 11 pages) this is 34

5 0
2 years ago
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