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2 years ago

If triangle ABC is isosceles, and AB = 6 and BC = 4, then AC =

Mathematics

2 answers:

kobusy [5.1K]2 years ago

8 0

Answer:

Ab=6

Bc=4

Since C is either option, that would be why the answer is C

Step-by-step explanation:

lesya692 [45]2 years ago

3 0

The answer is C because if AB=6 and BC=4 then AB is 6 and C is 4 so it can be either one of those options.

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts $38^{\circ}$ angle to each other

The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

Insert the values

$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

Resultant makes an angle of

$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

So, the resultant makes an angle of $22.57^{\circ}$ with 9 lb force

Angle made with 13 lb force is $38^{\circ}-22.57^{\circ}=15.43^{\circ}$

7 0

3 years ago

Read 2 more answers

Is -1.125 a real number?

pochemuha

$-1.125=-1\frac{125}{1000}=-1\frac{1}{8}\ is\ real\ number$

7 0

3 years ago

Read 2 more answers

What is 1/3 in decimal and percents and plz explain

nekit [7.7K]

Answer:

Decimal: 0.33

Percent: 33.33

Step-by-step explanation:

First 3/1 =0.33333333333 and so on

so put first to numbers 0.33

Second move decimal to right 2 places.

0.33 -> 03.3-> 33.0 or 33

There you go

6 0

3 years ago

Help please

Setler79 [48]

Answer: inconsistent

Step-by-step explanation:

Inconsistent systems have two lines that are two independent equations that don’t overlap. Basically, if the lines are parallel, the system will always be inconsistent.

4 0

2 years ago

What is the value of x in the trangle? Enter your answer in the box. Round your final answer to the nearest hundredth.

-Dominant- [34]

Use trigonometry.

cos(18°) = x/25

Multiply both sides by 25.

cos(18°)25 = x

23.7764129074 = x

We round off to the nearest hundredth. This means to round off to two decimal places.

Doing so, we get 23,78 cm = x.

4 0

3 years ago