A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?

Answer:

Step-by-step explanation:

more info

Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Given,

a = 10, b = 2

Draw the figure using the given data

Apply Pythagorean theorem to find the third side or hypotenuse

[tex]c^{2}=a^{2} +b^{2}[/tex]

[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]

c = 10.19 units

We know sin θ = Opposite side / Hypotenuse

Sin A = [tex]\frac{10}{10.19}[/tex]

sin A = 0.98

cos θ = Adjacent side / Hypotenuse

cos A = [tex]\frac{2}{10.19}[/tex]

cos A =0.20

tan θ = Opposite side / Adjacent side

tan A = [tex]\frac{10}{2}[/tex]

tan A  = 5

Hence, the Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

Learn more about Trigonometric functions and Pythagorean theorem here

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Answer:

i think maybe j that is what I think

Answer/Step-by-step explanation:

✔️(3x² - 7x + 14) + (5x² + 4x - 6)

3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)

Add like terms

3x² + 5x² - 7x + 4x + 14 - 6

8x² - 3x + 8

Therefore:

✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.

✔️(2x² - 5x - 3) + (-10x² + 2x + 7)

2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)

Add like terms

2x² - 10x² - 5x + 2x - 3 + 7

-8x² - 3x + 4

Therefore:

✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4

✔️(12x² - 2x - 13) + (-4x² + 5x + 9)

12x² - 2x - 13 - 4x² + 5x + 9

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Therefore:

✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4

Answer:

B, A, C

Step-by-step explanation:

Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

Answer:

75.23 is the answer for 77.5-2.27

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

Answer:

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]

Trigonometric substitution:

We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.

In this case, the substitution is given by:

[tex]x = a\sin{\theta}[/tex]

So

[tex]dx = a\cos{\theta}d\theta[/tex]

In this question:

[tex]a = 3[/tex]

[tex]x = 3\sin{\theta}[/tex]

[tex]dx = 3\cos{\theta}d\theta[/tex]

So

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]

We have the following trigonometric identity:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

So

[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]

Replacing into the integral:

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]

Coming back to x:

We have that:

[tex]x = 3\sin{\theta}[/tex]

So

[tex]\sin{\theta} = \frac{x}{3}[/tex]

Applying the arcsine(inverse sine) function to both sides, we get that:

[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Answer:

The amount in table as positive negative numbers: -5, 4, -1, 3, -2.

The spinner lands on red the change to Lisa's amount of money is -$5.

Step-by-step explanation:

Consider the provided table.

Part(A)

The table list how much a player receives or pays for various.

Paying some money is represented by a negative sign while receiving money is represented by a positive sign.

For red they needs to pay $5 which can be written as -5.

For blue they received $4 which can be written as 4.

For yellow they needs to pay $1 which can be written as -1.

For green they received $3 which can be written as 3.

For orange they needs to pay $2 which can be written as -2.

So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.

Part(B)

Now, we need to describe the change to Lisa’s amount of money when the spinner  lands on red.

If spinner lands on red then she needs to pay $5.

Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.

Answer:

I cant give you a linear graph but i can give you the equation and you can graph it.   y=20x+450

Step-by-step explanation:

Answer:

Y = -20x + 450.

Step-by-step explanation:

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

15/8  

Step-by-step explanation:

This is a fraction so when dividing fractions you can multiply by the reciprocal.

5/8*3/1= 5*3/8*1 = 15/8  

Answer:

i dont know

Step-by-step explanation:

lol

Answer:

(20 + 1) + G

Step-by-step explanation:

Answer:

y = -7x + 2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

Answer:

Step-by-step explanation:

X=60

Answer:

D

Step-by-step explanation:

2×3 = 6 which is less than 8

Answer:

222/2 = 111

8/2 = 4

74 /1

Step-by-step explanation:

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

Answer:

24.2^3cm is the correct answer .

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

Answer:

2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11

Step-by-step explanation:

To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11

Answer: 36

Step-by-step explanation:

g^4+5h

2^4+5(4)

16+20

36