Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .

What is an Acute Angle ?

The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).

From the figure ,

we can see that the measure of the sides are given as a = 9 , b = 8 and

the measure of angle A is 79° .

By Applying the Law Of Sines ;

we get ,

[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]

Substituting the values in the above equation ,

we get ;

[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]

Simplifying further ,

we get ;

[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]

substituting the value of Sin79° as 0.9816 ;

we get ;

[tex]SinB = \frac{0.9816}{9} \times 8[/tex]

[tex]SinB=0.8725[/tex]

So , B ≈ 61° .

Therefore , the measure of angle B is 61° .

The given question is incomplete , the complete question is

Find the measure of Angle B in the given figure .

Note that the angle B is acute . Round to the nearest degree .

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approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)

Suppose number of trials, n = 1000

And number of defective chickens is within 1 standard deviation of the mean :

Mean = np ; p = 0.3

Mean = 1000 * 0.3 = 300

Standard deviation (s) : sqrt(np(1-p))

s = sqrt(1000 * 0.3 * 0.7)

s = sqrt(210)

s = 14.49

2 standard deviations of the mean: and interval

Mean ± 2s

Lower bound : 300 - 2(14.49) = 271.02

Upper bound : 300 + 2(14.49) = 328.98

(271.02, 328.98) = (271, 329)

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An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Answer:

y = -8/3x + 73/4

Step-by-step explanation:

A line perpendicular to the 3rd equation has a slope that is the negative inverse of the other line. It also has the same y-intercept (b) because it is forming a square.

Therefore, the equation of the 4th line is:

y = -8/3x + 73/4

Answer:

B

Step-by-step explanation:

1 foot is 12 inches

5 x 12 = 60

Ans

184 sq meter

Step-by-step explanation:

Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)

Where FA= Front face area

SA= Side face area

TA= top face are

Here FA= length * breadth = 10*6=60 sq meter

SA= 10*2= 20 sq meter

TA= 6*2= 12 sq meter

So area of box= 2*60+2*20+2*12= 184 sq meter

There are 749398 5-disc combinations that can be made from the collection.

Combination refers to the number of ways that a certain number of items can be selected from a larger set of items without regard to the order of the items. It is different from permutation, which takes into account the order of the items.

The number of combinations can be calculated using the formula:

nCr = n! / (r! x (n - r)!)

Where n is the total number of items in the collection, and r is the number of items in each combination

Since a movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs, then the total number of discs in the collection is 41.

Plug in the values to the formula for combination.

nCr = n! / (r! x (n - r)!)

41C5 = 41! / (5! x (41 - 5)!)

41C5 = 41! / (5! x 36!)

41C5 = 749398

Therefore, there are 749398 5-disc combinations that can be made from the collection.

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Answer:

7x + 20 or 20 + 7x

Step-by-step explanation:

2(5 + 3x) + (x + 10)

=> Multiply the parenthatic values in the first parenthesis by 2

(10 + 6x) + (x + 10)

=> Now add similar values

20 + 7x

Hope this helps!

Answer:

41

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

All you have to do is simplify all of them and put them in order from least to greatest.

Answer:

It is A

Step-by-step explanation:

The negative are suppose to be first s it is A

Answer:

(0, -3)

Step-by-step explanation:

y = 3x - 3

y = x - 3

In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.

Then solve for x:

3x - 3 = x - 3

Add 3 to both sides

3x = x

Subtract x from both sides

2x = 0

Divide both sides by 2

x = 0

Now that you have x, substitute it in one of the equations:

y = 3x - 3

y = 3(0) - 3

y = -3

x is 0 and y is -3, so the solution to the equation is (0, -3)

Answer:

x = 0

Step-by-step explanation:

y=3x-3

y=x-3

They both equal why so you can take away the y and put them equal to each other.

3x-3=x-3

Subtract x from both sides

2x-3=-3

Add 3 to both sides

2x=0

divide 2 from both sides

x=0

The answer is 0. Hope this helps you :)

The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.

What is expression?

It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.

Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.

As example 4 + 3 or 100÷4

The expression which has both variables and numbers is called algebraic expression.

As example X+6 or 25+5y

What is coefficient?

In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y

but 24 is a constant number.

How can we determine the coefficient from the given expression?

We are given three expressions, these are 2xA²y, 10xyA² and 5yA²

for the 1st expression, 2 is the coefficient of A²y

for the 2nd expression, 10 is the coefficient

for the last 5 is the coefficient.

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Answer:

12

Step-by-step explanation:

a+b+the square root of [tex]a^{2}[/tex]+[tex]b^{2}[/tex]

7+[tex]\sqrt16+9[/tex]

Answer:

Holy has $85 dollars remaining.

Step-by-step explanation:

(There is no model given in the question, so I'll tell you what the model should be equal to)

If she has $125 to spend, and she spends $35 of that money on gas, she will have $85 left.

$125 - $35 = $85

Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

Answer:

$31.23

Step-by-step explanation:

4.1% = .041

30 * .041 = 1.23

--------------------

30 + 1.23 = 31.23

Answer:

$31.23

Step-by-step explanation:

Tax is 1.23

multiply .041 by 30 and add it to 30

Answer:

x=40º

Step-by-step explanation:

A straight line is 180º

180-40=140º

180-140=40º

x=40º

Hope this helps :)

Answer:

$8.75

Step-by-step explanation:

52.50/6=8.75

To make sure that is correct

8.75×6

Answer:

Her hourly rate is $8.75

Step-by-step explanation:

The value of a=0 in a given expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

If the value of 2x² - a*5 when x = 0 is 0, then we can substitute x = 0 into the equation and solve for a.

So,

[tex]2(0)² - a5 = 0[/tex]

[tex]-a5 = 0[/tex]

[tex]a = 0[/tex]

Therefore, the value of a should be 0.

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I'm not a bot but the answer is

y = -2x + 7

Step-by-step explanation:

The slope of the new line is m = -2 and it goes through (3, 1). The equation for this is

y = -2x + b ----> 1 = (-2)(3) + b or b = 7

Therefore, the equation has the form

y = -2x + 7

The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.

The Correct option is (A).

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Given:

In  ABC, m<A= 65 and m<B= 80

Now, using Angle sum Property

m<A + m <B + m <C = 180

65+ 80 + m<C= 180

m <C = 180 - 145

m <C = 35

So, the similar Triangle will be  DEF in which m <E = 80 and m <F = 35.

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Answer:

John spends less than 1/4 of his income on utilities, cable, internet and cell phone bills.

Mark me brainliest and thanksss :)))

Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)

Answer:

the answer is a rectangle with dimensions 3cm and 5cm

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

The figure that illustrates a reflection in line k is figure C.

We have given that the figure.

We have to determine the correct option a reflection in line k.

A reflecting line is a perpendicular bisector.

When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.

Therefore option c is correct.

Therefore, the figure that illustrates a reflection in line k is figure C.

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On observing the provided question we can say that - the function f(x) = a^x is Range : (−∞,∞) or all real numbers

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the number and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The answer to the question is that all real numbers or (−∞,∞)

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James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.

1. Take the height of the doll house (12.3 inches).

2. Multiply 12.3 inches by 2.

3. The result is 24.6 feet which is the height of James's house.

James is building a doll house that is proportional to his own house. He is using a scale of

0.5 inch = 1 foot,

which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.

1. Determine the scale of the doll house (0.5 inch = 1 foot).

2. Measure the height of the doll house (12.3 inches).

3. Multiply 12.3 inches by 2.

4. The result is 24.6 feet which is the height of James's house.

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Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.

Here,

Given : 2x + 3 =0

thus,

To find that it is linear equation in two variable is given  equation

As,

We can see there is only one variable that is x.

So , it is not a linear equation in two variables.

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

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