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3 years ago

Find all solutions for a triangle with a = 6,b = 8, and A = 150°

Mathematics

1 answer:

levacccp [35]3 years ago

5 0

Answer:

6/sin 150 = 8 / sin B

Step-by-step explanation:

6/sin 150 = 8 / sin B

sin 150 = 1/2 so you cross multiply to get 6 sin B = (1/2) • 8

6 sin B = 4

sin B = 4/6

B = inverse sin (4/6) = 42º or 138º

But both of those add to 150 to go over 180 so there are no solutions.

Back in geometry, you had that the larger angle of a triangle is opposite the longer side, right? You can see that 150º can't be opposite 6 because then the angle opposite 8 would have to be larger than 150º which is impossible for a triangle.

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To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77

Nookie1986 [14]

The correct question is
To fit between two Windows the width of a bookshelf must be no greater that 6 1/2 feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the book shelf and the distance between the Windows

we know that

step 1
convert feet to inches
1 ft--------> is equal to 12 in
so
6.5 ft------> 6.5*12-----> 78 in

78 in > 77 in------> The bookshelf will fit between the windows

difference=[78-77]----> 1 in

therefore

the answer is
The bookshelf will fit between the windows with 1 inch remaining.

3 0

3 years ago

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Determine the lowest common denominator and solve the calculation 6/9 -2/3 show work

g100num [7]

Answer:

Step-by-step explanation:

6/9 - 6/9 = 0

5 0

3 years ago

A certain video game costs $12 today. Tomorrow the store will have a promotion and the same video game will cost $8. What is the

Dimas [21]

Step-by-step explanation:

<h3>game cost = $12 with 0% discount</h3><h3 /><h3>so, on putting x% discount videogame cost become $8</h3><h3>x% discount = x/ 100 × $12 = $8</h3><h3>x% discount = 66.66%</h3>

<h2>MARK ME AS BRAINLIST</h2>

7 0

3 years ago

1. The monthly rents for studio apartments in a certain city have a mean of $920 and a standard deviation of $190. Random sample

Veronika [31]

Answer:

1)Mean=920 $

2)Standard Error =S.E.=38

3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939

Step-by-step explanation:

Given:

True mean =920 $

S.D=190 $

No .of samples=25

To Find:

1)Mean of sample.

2)S.E

Solution:

Now , the mean for given sample distribution is given as 920 $

Hence Mean =920 $

Now calculating the Standard error

S.E.= S.D./Sqrt(n)

=190/Sqrt(25)

=190/5

=38

Therefore the Standard error is about 38 .

a) When n=1 then P(901≤X≤939)

So,

Z1=(901 -920)/190/Sqrt(1)]

Z1=-0.1

Z2=(939-920)/(190/Sqrt(1)]

Z2=0.1

Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)

=0.5398-0.4602

=0.0797 % chance of the sample distribution

b)n=25 then P(901≤X≤939)

Z1=(901-920)/S.E

Z1=-19/38=

Z1=-0.5

And Z2=0.5

So,

Pr(-0.5≤Z≤0.5)

=Pr(Z≤0.5)-Pr(Z≤-0.5)

=0.6915-0.3085

=0.3829

i.e 38.29 % chance of the sample distribution

Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.

0.3829>0.0797.

Because the probability of causing above event is more than the option A.

3 0

3 years ago

In circle E with m \angle DEF= 70m∠DEF=70 and DE=13DE=13 units find area of sector DEF. Round to the nearest hundredth.

Anuta_ua [19.1K]

Answer:

103.18units³

Step-by-step explanation:

Area of the sector DEF = theta/360 * πr²

r is the radius

theta is the angle subtended at the centre

theta =70 degrees

radius DE = 13units

Substitute

Area of the sector = 70/360 * 3.14(13)²

Area of the sector = 7/36 * 530.66

Area of the sector = 3,714.62/36

Area of the sector = 103.18units³ (to the nearest hundredth)

7 0

3 years ago

Read 2 more answers