QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.

Answer: I. only

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Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Answer:

The answer to the question provided is 0.444.

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

Answer:

790 m^2

Step-by-step explanation:

well in the figure we have to areas

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]

the rectangle of the base

we have a base of 16 and a height of 11

so

[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]

so the total area is

[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]

so that's our answer the surface area is 790 m^2

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Answer:

208

Step-by-step explanation:

this is what I did. 348×.6

60% of 580 is 348 is the answer you're looking for

If you divide .6 by 348 you get 580.

To check your answer, you can do .4 (40%) multiplied by 580 to get 232

232+348=250 which is 100%

Answer:

A-8.25  B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

Answer:

i think it is 20

Step-by-step explanation:

i hope it help

Answer:

a = -5

Step-by-step explanation:

15 - a = 20

Move the constant of 15 to the other side by subtracting it.

-a = 5

Divide by -1 to make a positive.

a = -5

Check.

15 - (-5) = 20

15 + 5 = 20

20 = 20

Answer:

-5

Step-by-step explanation:

15-(-5)=20

5 turns into a positive

15+5=20

$4x-5$ is less than 25$

Answer:

what are you supposed to do here?

Step-by-step explanation:

Answer:

The correct answer would be bill

Step-by-step explanation:

Hope that's right! Hope it helps

Chu

[tex]\frac{x}{3}+4=7[/tex]    (subtract 4 from both sides (4-4 and 4-7)

[tex]\frac{x}{3}=3\\[/tex]            (multiply both sides by 3)

x=9

Step-by-step explanation:

defensive behaviour Includes avoiding action,

avoiding blame, and avoiding

change

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

Answer:

x = 133.33°

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

Since we know the values of all three side lengths, we solve the equation for x:

[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]

For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:

[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]

[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]

[tex]\displaystyle \cos x=-0.6862[/tex]

[tex]x = \arccos (-0.6862)[/tex]

x = 133.33°

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

Answer: e. II and III

II. The mean of sample G, TG, is a point estimator for the mean of the population.

III. The mean of sample H, my, is a point estimator for the mean of the population.

Step-by-step explanation:

The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean

Answer:

it's the one highlighted in orange

Step-by-step explanation:

I hope this helps with your question :)

Answer:

The distance of given two points

d( P₁, P₂)   [tex]= \sqrt{85}[/tex]   = 9.219

Step-by-step explanation:

Explanation:-

Given points are  p₁ ( 0,0)  and p₂ ( 7,6)

The distance formula of given points are

     d   =  [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

     d  =    [tex]\sqrt{(7-0 )^{2} +(6 -0)^{2} } = \sqrt{49 +36}[/tex]

    d = [tex]\sqrt{85}[/tex]

   d  [tex]= \sqrt{85}[/tex]

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Answer: It would be 43 mittens

Step-by-step explanation:

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Answer:

a) Rs 603.68

b) Rs 476.33

c) first division

Step-by-step explanation:

Total profit = profit 1 + profit 2 = P

hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]

A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company

$13.41 = Rs 603.68

B) specifying the 5th percentile of profit

p = $10.59 ≈ Rs 476.33

C) The  division that has a larger probability of making a loss in a given year is the first division

attached below is a detailed solution of the given problem

A): Range containing 95% probability for profit of company is

(Rs. 99M, Rs. 1026M).

B): Rs. 170.1 Million.

C): First division of the company has larger probability of making a loss.

Given that:

$1 = Rs. 45

[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]

Thus,

Company's profit:

[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]

A):

95% of the probability lies between 1.96 standard deviations of the mean.

Thus range is:

[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]

B): Fifth percentile is calculated as:

[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]

From p values of z score table, we get:

[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]

Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.

Or 5th percentile of profit is Rs. 170.1 Million.

C): Loss is when profit < 0

Thus: p < 0

The first division of company, thus have larger probability of making a loss in a given year.

Learn more here:

https://brainly.com/question/13299273

Answer:

$37

Step-by-step explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37

Answer:

3(12x - 24) = 16 (use the distributive property)

36x - 72 = 16  (add 72 to both sides to get the x-term alone)

36x = 88 (divide both sides by 36 to isolate x)

x = 2.4 (the four is repeating. that's the exact answer.)

I would say the answer is A because 2.4 is close to 2 than any of the other answers.

Step-by-step explanation:

I hope this helps :))

8^6 is actually 8×8×8×8×8×8.

So if you divide this by 8, you get 8^5 or 8×8×8×8×8

Well...

8×8×8×8×8=32768

Answer:

look below ⏬

Step-by-step explanation:

you can see there is a pattern

0.40

0.70

1.00

so you keep adding three (30)

1.30

1.60

1.90

And for 0

0.10

All in oder now

0- 0.10

10- 0.70

20- 1.00

30- 1.30

40- 1.60

50- 1.90

60- 2.20

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.