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3 years ago

Find the missing measurements of the right triangle.

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Step-by-step explanation:

as always, the sum of all angles in a triangle is always 180°.

therefore, the angle at B is

B = 180 - 27 - 90 = 63°.

for the missing sides we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the related angles.

so,

AB/sin(90) = 12/sin(27)

since sin(90) = 1, we have

AB = 12/sin(27) = 26.43227118... ≈ 26.4

AC/sin(63) = 12/sin(27)

AC = 12×sin(63)/sin(27) = 23.55132607... ≈ 23.6

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Which is a rational function?<br> A. Y=x-5/2<br> B. y=x^2-x+ 4<br> c. y=2^x<br> D. y=x-3/x^2

salantis [7]

Answer:

(b)

Step-by-step explanation:

5 0

4 years ago

The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 15 c

vladimir2022 [97]

Answer:

Therefore the volume of the gas is 32 cubic feet.

Step-by-step explanation:

Given that,

The volume of a gas varies directly with its temperature and inversely with the pressure.

$V\propto \frac{T}{P}$

V= Volume of the gas at constant mass

T= Temperature at constant mass

P= pressure at constant mass

$\frac{V_1}{V_2}=\frac{\frac{T_1}{T_2}}{\frac{P_1}{P_2}}$

$\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}$ .

Given that,

At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.

$V_1$ =15 cubic feet, $P_1$ =40 pound per square inch and $T_1$ = 300 K

$V_2=?$ , $P_2$ =20 pound per square inch and $T_2$ = 320k

$\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}$ .

Plugging all values

$\frac{15}{V_2}=\frac{300\times 20}{320\times 40}$

$\Rightarrow V_2=\frac{15\times 320\times 40}{300\times 20}{}$

$\Rightarrow V_2=32$ cubic feet

Therefore the volume of the gas is 32 cubic feet.

4 0

3 years ago

Plssss help ASAPPP!!!!!!!

Alik [6]

Answer:

Step-by-step explanation:

you have to times 2 x 6 to find your x

I'm not for sure tho but I hope it's right

8 0

3 years ago

A shop has 8 different types of postcards and at least 13 of each type. how many selections of 12 postcards are there if

Zolol [24]

Answer:

Answered

Step-by-step explanation:

It is a combbinatorics problem. let's think as we need to do 8 partitions

of these 13 to separate the postcards of different types. So The number of

partitions of n=13 into r=8 terms counting 0's as terms as C(n+r-1,r-1).

(a)

Here n=13 and r=8, put it in the above formula so we get C(13+8-1,8-1)= C(20,7)= 77520 selections.

b).

Here, either (i) we can choose none of type I or (ii) we choose one of type I

Case(i): r=7, n=12 (Here we have only 7 types to choose from)

Case(ii): r=7, n=11 (Here we have only 11 cards to choose and only 7 types to choose them from)

Case (i) + Case(ii) = ,C(12+7-1,7-1) + C(11+7-1,7-1) = C(18,6) + (17,6) = 18564+12376 = 30940 selections.

4 0

4 years ago

Marcus earns p dollars per week at a part-time job. His supervisor plans to give him a 15% raise. Marcus writes the following ex

irina1246 [14]

Answers:

p(1+0.15) and 1.15p are equivalent.

Step-by-step explanation:

Substitute p for 100 and do the expression given.

100 + (0.15 x 100) = 115

Now do the other expression with 100 as the substitute.

0.15(2 x 100) = 30

0.85 x 100 = 85

1.15 x 100 = 115

2.15 x 100 = 215

(2 x 100) + 0.15 = 200.15

100(1 + 0.15) = 115

4 0

3 years ago

Read 2 more answers