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3 years ago

What is the length of BC ?

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

Looking at this triangle, we can see that is a form of a 45, 45, 90 triangle
This would mean that 2x-24=x-2
Solve: 2x-24=x-2
subtract x from both sides and add 24 to both sides...
x=22

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A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t

polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0

3 years ago

Find the exact area of a circle having the given circumference.

BaLLatris [955]

Circumference is given by
$C=2\pi r$
Area is given by
$A=\pi r^2$

figure out the radius of the circle, then use it to find area

5 0

3 years ago

Read 2 more answers

Jerrilyn wrote the following argument to prove that

likoan [24]

Answer:

absolutely no idea if this is right but i put the first one

Step-by-step explanation:

5 0

3 years ago

The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for π, and do not round your answer.

horsena [70]

Answer:

87.92 ft

Step-by-step explanation:

The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).

r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!

3 0

3 years ago

Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone

Bumek [7]

Answer:

26880 ways

Step-by-step explanation:

Given

$Crust = 4$