.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

The carton contains 729 mL.

Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.

We have.

540mL x .35 = 189 mL

189 mL + 540 mL = 729 mL

The carton contains 729 mL.

Learn more about Fractions:

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Answer:

369

Step-by-step explanation:

28% 0f 288=80.64

228lbs sold + 80.64(Round off)  =81 = spoiled =369

The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.

In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.

Representing the given equation is the slope-intercept form y = mx + b, we get:

6x + 4y = - 56,

or, 4y = - 6x - 56,

or, y = (-6/4)x + (-56/4),

or, y = (-3/2)x + (-14),

we get the slope, m is (-3/2), and the y-intercept, b is (-14).

Assuming the slope of the required line to be m₁, we know that m₁*m  = -1, as the two lines are perpendicular to each other.

Thus, m₁*(-3/2) = -1,

or, m₁ = 2/3.

Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

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Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Answer:

Lunar, and solar eclipse!

Step-by-step explanation:

This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!

The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!

I hope this helps, and I'm here if you need anything else! <3

Answer:

N = 4

Step-by-step explanation:

Please mark brainliest.

Answer:

n=4

Step-by-step explanation:

3+4n+n=2n+15

5n=2n+12

3n=12

n=4

Answer:

42.39in^3

Step-by-step explanation:

half of 3= 1.5

Which 1.5 would be our radius. (r)

V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)

V= (3.14) x 1.5^2 x 6

V= (3.14) x 2.25 x 6

V= 42.39in^3

Answer:

Step-by-step explanation:

You have to divide 100 by 62.50= m answer

Answer:

-4

Step-by-step explanation:

Answer:

the y-intercept is -4.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

Answer:

I think this is right 5 is x=30

Step-by-step explanation:

4 is a because 2x=6 can simple to x=3

and 5 is x=30

Answer:

60 animal balloons

Step-by-step explanation:

15 times 3 equals 45 so 20 times 3 equals 60 balloons

Hope this is helpful

Answer:

60

Step-by-step explanation:

If he can make 20 balloon animals in 15 minutes, then to get the answer you would multiply 20 x 3 = 60. That would be how many animal balloons that Fred can make in 45 minutes.  And 45 minutes is three sets of 15 minutes.

Hope that helps.

Answer:

4 1/2

Step-by-step explanation:

step 1: multiply 1 * 3 = 3

Step 2: multiply 1/2 * 3

                        = 1/2 + 1/2

                        = 1 + 1/2

                        = 1 1/2

Step 3: now add 3 + 1 1/2

                                =4 1/2

So the answer is 4 1/2

the 2nd answer makes the most since

Answer:

c. 141.7 in

Step-by-step explanation:

multiply the length value by 39.37

Answer:

I suggest that you use Socratic to solve this. It answers almost every question.

Step-by-step explanation:

Answer:

The area of the base of the pencil holder in square centimeters is  18 square centimeters

Step-by-step explanation:

The volume of a triangular prism is given as base area X height.

To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.

Base area = volume of prism / height

Base area = 216/12 = 18 square centimeters

Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters

Answer:

it's 15 percent

Step-by-step explanation:

1% = 0.10

2% = 0.20 and so on

so we know that 1% is 0.10 so if you multipy 15 x 10= 150 and if you do 1.50 divieded by 10 you would get 15 :)

(sorry if this is wrong)

Answer:

09876543321

Step-by-step explanacdbhcybtfcbdshbcyhds\cdcd