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Answer:

Step-by-step explanation: 5

The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Cosine theorem:

Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)

-0.5 = (17.64 + 32.49 - BC²) / 47.88

-23.94 = 50.13 - BC²

BC² = 50.13 + 23.94

BC = √(74.07)

BC = 8.6

Sine theorem:

BC / Sin ∠A = AC / Sin ∠B

8.6 / Sin ∠A = 4.2 / Sin ∠B

8.6 / 120 = 4.2 / Sin ∠B

Sin ∠B = (4.2 x 120) / 8.6

Sin ∠B = 58.60

∠B = 25.1°

Thus,

The angle is 25.1°.

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Answer:

B

Step-by-step explanation:

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

Answer:

8.25

Step-by-step explanation:

-11 = (-4/3) y

(-11)/(4/3) =y

∴ y = 8.25

Step-by-step explanation:

1) 13.57

+2.93

With this, we subtract from the back Meaning we add starting from back to forward;

13.57

+2.93

16.50

We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.

Answer:

4

Step-by-step explanation:

Move numbers to right hand side

Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

LCM of 5 and 3 is 15

thus, denominator is 15

2/5 = 2x3/5x3 = 6/15

1/3 = 1x5/3x5 = 5/15

Answer:

80

Step-by-step explanation:

180-60=120

120-40=80

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer: T second one because I divided 108 divided by 9 and it equaled 12.

Step-by-step explanation:

I did not do the other steps but like source: Trust me.

Answer:

The answer is B

Step-by-step explanation:

108/9=12

Answer: (3,1)

Step-by-step explanation:

2x + 3y = 9

(x + 5y = 8) -2

2x + 3y = 9

-2x - 10y = -16

      -7y = -7

         y = 1

2x + 3(1) = 9

       2x = 6

        x = 3

Answer:

i

Step-by-step explanation:

Answer:

Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.

Step-by-step explanation:

Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Answer:

It would most likely be in the 100's so maybe 105

Answer:

5/12

Step-by-step explanation:

Total pound of oranges = 5

Number of piles = 12

Weight of the oranges in each pile = Total pound of oranges / Number of piles

= 5 / 12

The rational number which represents the weight of the oranges in each pile is 5/12

Answer:

yes its is slope

Step-by-step explanation:

Answer:

When s = 20, r = 9

Step-by-step explanation:

Given,

s is directly proportional to (r + 1)

s = k(r + 1)

(k is the constant of proportionality)

When s = 8,

8 = k(3 + 1)

8 = k(4)

8 = 4k

8/4 = k

2 = k

When s = 20,

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

Answer:

The constant of proportionality is 40 sour patch kids per day

Step-by-step explanation:

Here, we want to find the constant of proportionality

From the question, we are told that he eats 20 sour patch kids in half a day

what this mean is that he will eat 20 * 2 = 40 sour patch kids in a day

The constant of proportionality is thus 40 sour patch kids per day

Answer:

5.8516

Step-by-step explanation:

To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Let's find the variables of this equation:

x2 = 6

x1 = 1

y2 = 4

y1 = 2

Now, we can plug these in to the equation:

[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]

Next, let's solve:

[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]

Therefore, the distance between points (1,2) and (6,4) is 5.8516

Hope this helps!!

- Kay :)

Answer:

He uses 23 balloons for each of the 28 events.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

I divided 644 by 28. There are 644 balloons and you want to split

(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!

Answer: ∠A = 70°

because ABC is an  isosceles triangle and AB =  AC

=> ∠B = ∠C = 55°

=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°

Step-by-step explanation:

sorry i can't help :(

Answer:

The three integers are

11, 13, and 15.

Step-by-step explanation:

. The sum of these is 39, so we can write:

x+(x+2)+(x+4)=39

Open the brackets and simplify.

x+x+2+x=+4=39

3x+6=39

Subtract 6 from each side.

3x=33

Divide both sides by 3.

x=11

Therefore: (x+2)=13 and (x+4)=15

Answer:

11%

Step-by-step explanation:

I think that's the answer just check first

Answer:

60 is greater than 7.5.

step by step

Answer:

x = 3/7

Step-by-step explanation:

Answer:

150 feet.

Step-by-step explanation:

50/10=5

30*5=150

The bird will fly 150 feet in 50 seconds.

Answer:

150 feet

Step-by-step explanation:

30x5=150

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Answer: $2

Step-by-step explanation: 20 percent of 10 is 2

Hope I did this right

The selling cost of the mug is the amount of $12.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.

We have been given that Aden spent $10 on a mug and then sold it, making a 20% profit.

The original cost of the mug is $10.

The selling cost of the mug = original cost + 20% of the original cost

The selling cost of the mug = $10 + 20% of $10

The selling cost of the mug = 10 + (20/100)10

The selling cost of the mug = 10 + 0.20 × 10

The selling cost of the mug = 10 + 2

The selling cost of the mug = $12

Therefore, the selling cost of the mug is the amount of $12.

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