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2 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

Mathematics

1 answer:

TEA [102]2 years ago

7 0

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

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Batman can clean up all of the crime in Gotham City in 8 hours working alone. Robin can do the same job alone in 12 hours. If Ro

scoray [572]

<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

$\texttt{Rate of batman,}r_b=\frac{W}{8}$

Robin can do the same job alone in 12 hours.

$\texttt{Rate of Robin,}r_r=\frac{W}{12}$

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

$t\times \frac{W}{8}+(t+2)\times \frac{W}{12}=W\\\\12t+8t+16=96\\\\20t=80\\\\t=4hours$

After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM + 4 hours = 2:00 PM

The crime gets cleaned up at 2:00 PM

4 0

3 years ago

£60 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as

Anna [14]

60£

Peter = 2 Angard

Angard = 3 Nick

Peter = 2 Angard = 6 Nick

Angard = 3 Nick

Nick = 1 Nick

6+3+1=10 Nick

60£/10 = 6£

Nick = 6£

Angvard = 3 Nick = 6£*(3) = 18£

Peter = 6 Nick = 6£*(6) = 36£

(prove: 6+18+36=60£)

3 0

3 years ago

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .

Andru [333]

Let

n-------> the number of nickels

q------> the number of quarters

we know that

$1\ quarter=\$0.25\\1\ nickel=\$0.05$

$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

$0.05n+0.75n=1.60$

$0.80n=1.60$

$n=2$

Find the value of q

$q=3*2=6$

therefore

<u>The answer part a) is</u>

the number of nickels are $2$ and the number of quarters are $6$

<u>the answer Part b) is</u>

The expressions that represents the number of quarters is

$q=3n$

5 0

3 years ago

Read 2 more answers

Round 854 to the nearest hundredth

Paladinen [302]

Answer:

854

Step-by-step explanation:

There is no decimals.

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3 years ago

What are the FACTORS of this equation?

Free_Kalibri [48]

um i would say 25 all together

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3 years ago