Name r 13 EUA 18. Find the measure of angle A Date Period A 16 139° B A= 13 20 19. Solve the triangle ABC with side lengths a = 14cm, b = 9cm, c = 6cm a = A= b = B= C= C =​

Name R 13 EUA 18. Find The Measure Of Angle A Date Period A 16 139 B A= 13 20 19. Solve The Triangle

Answers

Answer 1

Answer:

A = 137°   a = 14 cm

B = 26°   b = 9 cm

C = 17°   c = 6 cm

Step-by-step explanation:

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]

where:

c is the side opposite angle Ca and b are the sides with C as the included angle.

Given:

a = 14 cmb = 9 cmc = 6 cm

[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]

[tex]\implies C=16.99128694..\textdegree[/tex]

Sine Rule

[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]

[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]

Sum of interior angles of a triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A = 180° - 25.997...°  - 16.9912...°

⇒ ∠A = 137.0107361...°

Name R 13 EUA 18. Find The Measure Of Angle A Date Period A 16 139 B A= 13 20 19. Solve The Triangle

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[tex]\bold{ANSWERS:}[/tex]

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[tex]\bold{EXPLANATIONS:}[/tex]

Which of the following are in correct order from greatest to least? startfraction pi over 2 endfraction, 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction , 330° startfraction pi over 2 endfraction, startfraction 2 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 5 pi over 3 endfraction, 330° 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction

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The angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

What is a reference angle?

A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330°, 300°, 210°, 120°, 90°

or

330°, 5π/3, 7π/6, 2π/3, π/2

Hence, the angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

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Answer:

d

Step-by-step explanation:

thats what the guy above me said

A seed company distributed 2,995,748,111 seeds last season. This season, the company distributed 1,598,485,845 seeds. What is the estimated amount of seeds distributed both seasons? Round to the nearest billion

Answers

Answer:

they sold 1,397,262,266 less seeds this season but made 1,397,262,266 last season

Step-by-step explanation:

2,995,748,111 - 1,598,485,845 = 1,397,262,266

What is the probability of a rainbow is it unlikely,likely,equally likely, or certain pls help i would appreciate it

Answers

Answer:

equally likely

Step-by-step explanation:

Rainbows usually appear after it rains, but not always, there usually has to be certain specific conditions for it to happen.

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The coordinates of the point P:(2,2), Q:(6,2), R:(6,5), S:(2,5) represent the vertices of a rectangle. What is the perimeter, in units of rectangle PQRS?

Answers

Answer:

Hope the picture will help you....

Answer:

C. 14 units

Step-by-step explanation:

Perimeter is the distance around the outside of the shape. Add up all the sides. See image.

1
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Find the interest on the following loan.
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Answers

The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

How to calculate simple interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For this case, we're specified that:

Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied:  10th aug to 23rd dec.( of same year assumingly)

Converting this time in terms of year, we get:

Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.

From 10th aug, till its last, there went 22 days.

Whole sept and oct and nov. was spent (30+31+30 = 91 days)

And then there were 22 days of december(23rd day not covered assumingly)

So, total days = 22+22+91 = 145 days.

Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:

[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]

Thus, we get: the amount of interest as:

[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]

Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

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First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Dilating the triangle ABC would create a triangle with a different side length from triangle ABC

How to dilate the figure?

From the diagram, we have the coordinates to be:

A = (2,-5)

B = (2,4)

C = (-4,3)

The dilation rule is given as:

(x,y) => (1.5x, 1.5y)

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Step-by-step explanation:

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Distribute the exponent to the base. We are able to do this because the base is composed of a single term. If it were composed of addition and subtraction, you cannot distribute the exponent:

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Answers

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Step-by-step explanation:

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Find the equation of the line that goes through the points (0, 4) and (10, 2).
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Answers

Answer:

[tex]y=-\frac{1}{5}x+4[/tex]

Step-by-step explanation:

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Solve each inequality |x-5|>-3

Answers

Answer:

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Step-by-step explanation:

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An airplane is flying in the direction of 30 degrees south of west at 600 mph. a wind is blowing in the direction of 60 degrees north of east at 40 mph. are the component forms for the air and wind vectors. the ground speed, g, of the plane is given by .

Answers

The ground speed (G) is given as

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

The correct potion is B.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.

It means the airplane is flying in the opposite direction of the wind.

The component of an airplane will be

[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]

The component of wind will be

[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]

Then the ground speed will be

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

Then the correct potion is B.

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Answer:

C and B

Step-by-step explanation:

C and B

Hii please can y’all help… I’m pretty sure I know this I’m just really not bothered :]

A plane ticket to Barcelona costs £175

The price decrease by 6%

Work out the new price of the plane ticket


<3

Answers

Answer: New cost of Barcelona ticket is £164.5

Given that:

the money of is  Barcelona ticket = £175

Decrease rate = 6%

Find:

New cost of Barcelona ticket

Computation:

New cost of Barcelona ticket = Cost of Barcelona ticket - [Cost of Barcelona ticket][Decrease rate]

New cost of Barcelona ticket = 175 - [175][6%]

New cost of Barcelona ticket = 175 - 10.5

New cost of Barcelona ticket = £164.5

Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere? 64π cm2 96π cm2 128π cm2 256π cm2

Answers

The surface area of the larger sphere with a volume of 64π cm³ comes to be 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

Suppose the radius of the larger sphere is r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

What is the surface area of a sphere?

The surface area of a sphere is 4πr² where r is the radius.

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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Solve the following: 32 = 4 + 4 x 8 = ?
A. 42
B. 96
C. 32
D. 40

Answers

Answer:

The answer is

Option D.) 40

Step-by-step explanation:

32 ÷ 4 + 4 x 8

= 32 ÷ 4 = 8

= 8 + 4 x 8

= 8 + 32

= 40

Therefore, Option D.) 40 is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/19/2022 at 7:25 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

Step-by-step explanation: 36 see attachment

Coach Martinez is picking one of three students (Bella, Chrissie, or Destiny) to
be team captain. What is a fair way to do this?
O A. Toss a coin twice. If it comes up heads 2 times, pick Bella. If it
comes up heads 1 time, choose Chrissie. If it comes up heads 0
times, choose Destiny.
B. Roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes
up, pick Chrissie. If any other number comes up, pick Destiny.
C. Roll a number cube. If an even number comes up, pick Bella. If a 3
or a 5 comes up, pick Chrissie. If any other number comes up, pick
Destiny
D. Choose the tallest of the three girls.

Answers

Answer:

D

Step-by-step explanation:

I think it is sorry if I'm wrong

Which polynomials are prime? check all that apply. 15x2 10x – 9x 7 20x2 – 12x 30x – 18 6x3 14x2 – 12x – 28 8x3 20x2 3x 12 11x4 4x2 – 6x2 – 16

Answers

The options that are prime polynomials are,

15x^2  +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16

What is the prime polynomial?

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.

To determine all options in order to check that the polynomials are prime or not:

1). 15x^2  +10x -9x+7

5x(3x + 2) - (9x - 7)

Therefore,  this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). 20x^2-12x+30x-18

4x(5x - 3)+6(5x-3)

(4x + 6)(5x - 3)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x^3+14x^2-12x-28

2x^2(3x+7)-4(3x+7)

(2x^2-4)(3x+7)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x^3+20x^2+3x+12

4x^2(2x+5)+(3x+20)

Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x^4+4x^2-6x^2-16

x^2(11x^2+4)-2(3x^2+8)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

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At a baseball game, a vender sold a combined total of 114 sodas and hot dogs. The number of hot dogs sold was 30 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

Sodas: 72

Hotdogs: 42

Step-by-step explanation: First you take 114 and subtract 30 from it since there are 30 more sodas. You then would take the remaining 84, and divide it between the two giving you 42 hotdogs and 42 sodas. Now remember the 30 we had? Youre gonna add that to the 42, giving you 72 sodas and 42 hotdogs.

what values make 4s+3=9 true

Answers

Answer:

Solve for 's' using inverse operations;

4s + 3 = 9

Get rid of constants first.

By doing this, we subtract 3 from both sides because the inverse operation of addition is subtraction.

-3           -3

4s = 6

Isolate 's' by dividing 4 from both sides because the inverse operation of multiplication is division.

÷ 4 ÷ 4

s = 6/4 which equals 1.5 therefore the value of 's' to make this equation true is 1.5.

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