In the triangle below, what is the sine of 30°?

Answer:

6.375 cups of raisins

Step-by-step explanation:

The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.

So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:

(4.25 ÷ 2) × 3 = 6.375

Answer:

Step-by-step explanation: they both equal 2x + 4

2x + 4=2(x + 4)

2x + 4= (2 X x) + (2 X 4)

2x + 4= 2x + 4

Answer: The resulting acceleration of the ball is 80m/s² .

Step-by-step explanation:

Formula for force :     [tex]F= ma[/tex]

,where m = mass pf object and a = the resulting acceleration of object.

As per given , we have

The mass of ball : m= 0.5 kg

Force = 40 N

Let 'a' be the resulting acceleration of the ball.

Substitute all values in formula , we get

[tex]40=(0.5)a\\\\\Rightarrow\ a=\dfrac{40}{0.5}=80\ m/s^2[/tex]

Hence, the resulting acceleration of the ball is 80m/s² .

The acceleration of the ball is 80 Newton per kg.

Given that

A 0.5 kg ball is kicked with a force of 40 N.

We have to determine

What is the resulting acceleration of the ball?

According to the question

The acceleration of the ball is determined by the following formula;

[tex]\rm Acceleration = \dfrac{Force}{Mass}[/tex]

The mass of the ball is 0.5 kg.

The force applied to the ball is 40 N.

Therefore,

The acceleration of the ball is,

[tex]\rm Acceleration = \dfrac{Force}{Mass}\\ \\ \rm Acceleration = \dfrac{40}{0.5}\\ \\ \rm Acceleration = 80 \ Newton \ per \ kg[/tex]

Hence, The acceleration of the ball is 80 Newton per kg.

To know more about Acceleration click the link given below.

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Answer:

[tex]10 \sqrt{3} {cm}^{2} [/tex]

Step-by-step explanation:

The area of a parallelogram is A=bh.

From the diagram, the base is b=5m

We now use the properties of 30°-60°-90° right angle to find h.

The sides of this triangle is given by x,½x,½x√3

Where x is 4

Therefore we have 4,2, 2√3

So we have h=2√3m

The area now is

[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]

a)The problem is about finding area of a plane figure

The original temperature conversion equation is Tc = 5/9 x (T-f - 32). When converting 176 degrees Fahrenheit, it is multiplied by 5/9 to get approximately 108.89 degrees Celsius.

The equation provided by the student, C = 5/9 x (F - 32), is used to convert a temperature from Fahrenheit (F) to Celsius (C). To find the factor to convert Fahrenheit to Celsius directly, we can manipulate the given formula. The request seems to be asking for the conversion factor that is applied to Fahrenheit to get Celsius. However, the original equation needs to be rewritten correctly as: TC = (5/9) × (T-F - 32). From this, we infer that each degree Fahrenheit is equivalent to 5/9 of a degree Celsius. Therefore, 176°F would convert to 176 × (5/9) = 980/9 or approximately 108.89°C.

Answer:

solution is c

Step-by-step explanation:

look at picture

Answer:25yards

Step-by-step explanation:

Answer:

2.075

Step-by-step explanation:

ok so if a nail can only go 0.025 it 1 day is 200m cut into 24 if 8.3 cut in half gives u the answer

Answer:

B

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x)

f(3) = 5(3) - 7 = 15 - 7 = 8 → B

Answer:

60

Step-by-step explanation:

I used the guess and change method and subtracting every guessed number for 51.6. I found out that if you subtract 60 by 14%, you'll get 51.6.

Hope this helps :)

Answer:

Step-by-step explanation:

-7/4 = 2/5t

*5          *5

-35/4 = 2t

-8.75 = 2t

-4. 37

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

Answer:

40π

Step-by-step explanation:

Circumference Formula:  C = 2πr

Step 1:  Divide diameter by 2 to get the radius

40 / 2 = 20 m -> Radius

Step 2:  Plug into the Circumference Formula

C = 2π(20)

C = 40π

Answer:  40π

Answer:

Step-by-step explanation:

The radius of the circle is d/2

The Area of the circle is pi*r^2

The Area of the circle is pi * (d/2)^2

The Area of the circle is A = pi * (40/2)^2

The Area of the circle is A = 400 * pi

Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and b represents the y-intercept of the line.

The linear equation y = 5x - 22 has a slope equal to 5

and a y-intercept equal to -22.

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.

To find the linear equation, we use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Here,

m is the slope and (x₁, y₁) is a point on the line.

Given:

Substitute the values into the point-slope form equation:

y - (-9) = -5(x - 2)

Simplify the equation:

So, the linear equation in slope-intercept form is y = -5x + 1.

Answer:

x = 6, length = 8 cm and width = 7 cm

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of a rectangle = 56 cm²

Length of the rectangle = x + 2

Width of the rectangle= 2x - 5

2. Solve for x. Round to the nearest whole number.

Area of a rectangle = Length * Width

(x + 2) (2x - 5) = 56

2x² + 4x - 5x  -10 = 56

2x² - x  - 66 = 0

Factoring, we have:

(2x + 11) * (x - 6) = 0

x₁ = 2x + 11 = 0 ⇒ 2x = -11;  x₁  = - 5.5

x₂ = x - 6 = 0 ⇒ x₂ = 6

We picked x₂ because x₁ will give us negative values for length and width.

Length = 6 + 2 = 8 cm

Width = 2 * 6 - 5 = 12 - 5 = 7 cm

A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.

Answer:

Constant Term

Step-by-step explanation:

length is 8m

Width is 6.5m

Explanation:

Let, width = b

So, length = 2b-5

area = 52[tex]m^{2}[/tex]

We know,

area of rectangle = length X width

So, [tex]52m^{2}[/tex] = [tex](2b-5) X b[/tex]

On solving the above equation, we get

Width, b = 6.5m

length, l = 8m

Answer:

c=16*pi

a=64*pi

Step-by-step explanation:

The circumference and area of a circle with a radius of 8 cm are 16 pi cm and 64 pi [tex]cm^2[/tex], respectively.

To find the circumference and area of a circle with radius 8 cm, we can use the following formulas:

Circumference = 2 * pi * radius

Area = [tex]pi * radius^2[/tex]

Plugging in the given value, we have:

Circumference = 2 * pi * 8 cm = 16 pi cm

Area =[tex]pi * 8^2 cm^2[/tex] = [tex]64 pi cm^2[/tex]

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Answer: 25 percent of the class did not pass

Step-by-step explanation:

Answer:

8 seconds

Step-by-step explanation:

Given

h = - 5t² + 40t

When the object hits the ground then h = 0

Substitute h = 0 into the function and solve for t

- 5t² + 40t = 0 ← factor out - 5t from each term

- 5t(t - 8) = 0

Equate each factor to zero and solve for t

- 5t = 0 ⇒ t = 0

t - 8 = 0 ⇒ t = 8

t= 0 denotes the time of launch

t = 8 denotes the time it hits the ground

Answer:

i forgot

Step-by-step explanation:

Answer:

5,290,000,000,000 written in words would be

five trillion, two hundred and ninety billion

Written in scientific notation would be

5.29*10^12

Step-by-step explanation:

When writing numbers in words you always want to go from left to right, the last three of your digit was in the hundreds place, then the next three were in the thousands place, than the millions, then the billions, and last was the trillions which is where we got five trillion to start out with, you next number was two hundred and ninety billion, because your next place value was in the billions.

When writing numbers using scientific notation you always want just one number to the left of the decimal point. When adding a decimal we put it right after the 5 because then we only have one number in front of the decimal point. Then you would go times 10 to the whatever power it is. In our case it was 12 because you go from your decimal point and count backwards til you get to the correct number that you want

-Hope this helps ;)

Answer:

[tex] \frac{11}{20} [/tex]

On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a

total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.

Answer:

  8

Step-by-step explanation:

The term 8x is a product (as is any term). It is the product of a constant coefficient (8) and a variable (x). The "coefficient" is the multiplier of the variable of interest, so is 8 in this term.

_____

The word "coefficient" is often used to refer to the constant multiplier in any term. For example, in the term 6xy, if we just ask for the coefficient, we are interested in the value 6.

On the other hand, if we ask for the coefficient of y in that term, we expect to be told it is 6x. That is, the "coefficient" is the multiplier of the specified variable or constellation of variables.

The coefficient in the expression 8x is the number 8, which is the numerical factor that multiplies the variable x.

Identifying the Coefficient in the Expression 8x

To identify the coefficient in the expression 8x, we need to recognize that a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In the case of 8x, the coefficient is 8. This means that 8 is the number by which the variable x is being multiplied. Coefficients play a crucial role in equations and functions, as they determine the proportionality and scale of the variable's effect within the expression.

For example, if x represents the number of units sold, and each unit contributes 8 units of value, the expression 8x would represent the total value contributed by all units combined.

Answer:

1.a. it takes him 0.5 seconds to reach his max height.

.b. The highest point that he reached is 484 feet.

     -16×(0,5)^2+16×(0,5)+480=484

Multiply the 2x by each term inside parentheses:

2x x x ^2 = 2x^3

2x x 2x = 4x^2

2x x -6 = -12x

Answer: A) 2x^3 + 4x^2 - 12x

Answer:

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Step-by-step explanation:

Answer:

c=-16

Step-by-step explanation:

We want to solve for c in the equation:

-12=4+c

We add the additive inverse of 4 to both sides of the equation to obtain:

[tex] - 12 + - 4 = 4 + - 4 + c[/tex]

We simplify to obtain:

[tex] - 12 - 4 = 4 - 4 + c[/tex]

We simplify further to get:

[tex] - 16= 0 + c[/tex]

Therefore

[tex] - 16 = c[/tex]

Or

[tex]c = - 16[/tex]

Answer:

See explanation

Step-by-step explanation:

Given the expression

[tex](5^{18}-25^8)(16^4-2^{13}-4^5)[/tex]

First, simplify all terms:

[tex]25^8=(5^2)^8=5^{2\cdot 8}=5^{16}\\ \\16^4=(2^4)^4=2^{4\cdot 4}=2^{16}\\ \\4^5=(2^2)^5=2^{2\cdot 5}=2^{10}[/tex]

Then the expression is

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})[/tex]

Use distributive property in both factors:

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})=\\ \\=(5^{16}(5^2-1))(2^{10}(2^6-2^3-1))=\\ \\=(5^{16}(25-1))(2^{10}(64-8-1))=\\ \\=5^{16}\cdot 24\cdot 2^{10}\cdot 55=\\ \\=5^{16}\cdot 4\cdot 6\cdot 2^{10}\cdot 5\cdot 11=\\ \\=5^{16}\cdot 2^{10}\cdot (4\cdot 11)\cdot (5\cdot 6)=\\ \\=5^{16}\cdot 2^{10}\cdot 44\cdot 30[/tex]

Therefore, this expression is divisible by 30 and by 44

Answer:

[tex]0.3846154[/tex]

Step-by-step explanation:

We want to perform the following division:

0.63 ÷ 1.638

Let us convert everything to fraction to get:

[tex]\frac{63}{100}\div \frac{1638}{1000}[/tex]

We multiply by the reciprocal of the second fraction to get:

[tex]\frac{63}{100}\times \frac{1000}{1638}[/tex]

[tex]=\frac{63}{1638}*10[/tex]

[tex]=0.03846154*10=0.3846154[/tex]

Final answer:

To find the result of 0.63 divided by 1.638, you multiply both numbers by 1000 to remove the decimals and then divide, resulting in approximately 0.384612.

Explanation:

The question asks for the result of dividing 0.63 by 1.638. To solve this problem, you perform division as you would with any two numbers. The steps are as follows:

Set up the division problem: 0.63 ÷ 1.638.

To make the division simpler, you can multiply both the divisor (1.638) and the dividend (0.63) by powers of 10 to remove the decimals. In this case, multiply both by 1000 to get 630 ÷ 1638.

Perform the division: 630 divided by 1638 equals approximately 0.384612.

Thus, 0.63 ÷ 1.638 is approximately 0.384612.

Answer:

160

Step-by-step explanation: