In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.

Answer:

π (pi) = 3.14

c = 2πr

Step-by-step explanation:

The value of pi is 3.14. It relates to the circumference and the diameter because inorder to solve for the circumferences you need pi. Which is in the formula.

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

John will clean the house for 5/2 = 2.5 hours.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

Given, that John cleans the house 2 hours more than Jane.

Let x be the time taken by the Jane and x +2 be the time taken by John.

Total they work for 2 hours 24 minutes

first we will convert minutes into hours, 24/60

= 2.4 hours

Let time taken by John = 1/x+2

time taken by Jane = x

1/x + 1/(x+2) = 2.4

Taking lcm,

x+x+2 = 2.4(x)(x+2)

2x +2 = 2.4\(x^{2}\) +4.8x

2.4x\(x^{2}\)+2.8x -2 = 0

On solving it,

x = \(\frac{b-\sqrt{b^{2-4ac} } }{2a}\)

x = 1/2 and x = -5/3

only x = 1/2 is possible value.

Time taken by John = 1+1/2

=5/2

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A food processor has an efficiency of 0.4. It generates 350 W of usable power. The total power input of the food processor is 349.6W.

Therefore,

Efficiency equals total power in less usable power out.

Efficiency =0.4 effective power =350 watts

total power input is,

0.4 = 350350 - 0.4

Simplifying the above equation,

= 349.6

Hence, A food processor has an efficiency of 0.4. It generates 350 W of usable power. The total power input of the food processor is 349.6W.

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Answer:

x=-1, x=2, x=3

Step-by-step explanation:

Factor the left side of the equation.

(x+1)(x^2+x-6)

(x+1)(x-2)(x-3)

Now set everything equal to 0

x+1=0

x-2=0

x-3=0

Now solve for x

therefore, the answer is x=-1, x=2, x=3

The  equation Px+6=3(x+q) of p and q are:p = 0, q = 3orp = 3, q = 2

We know that if x = -1 is the only solution, then the equation should have only one root, i.e.,

discriminant = 0.

Discriminant of the equation: D = b² - 4ac

Given equation can be written as: Px - 3x + 6 - 3q = 0

Comparing it with the general equation ax² + bx + c = 0,

we get a = p, b = -3, and c = 6 - 3q

Discriminant = (-3)² - 4p(6 - 3q)

For x = -1, the equation becomes:

P(-1) - 3(-1) + 6 - 3q = 0

or, -P + 3 + 6 - 3q = 0

or, -P - 3q + 9 = 0

or, -3q = P - 9

or, q = (9 - P)/3

or, q = (3 - P/3)

If x = -1 is the only solution,

then the discriminant should be equal to 0.

(-3)² - 4p(6 - 3q) = 0

We know that q = (3 - P/3)

On substituting the value of q in the above equation, we get:

9 - 4p(6 - 3(3 - P/3)) = 0

or, 9 - 4p(6 - 9 + P) = 0

or, 9 - 4p(P - 3) = 0

or, 0 = 4p² - 12p

Substituting the value of p, we get:

0 = 4p² - 12p

or, 0 = 4p(p - 3)

Either 4p = 0 or p - 3 = 0

p = 0 or p = 3

If p = 0, then q = 3, and

if p = 3, then q = 2

Therefore, the values of p and q are:p = 0, q = 3orp = 3, q = 2

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Answer:

8- 3x

Step-by-step explanation:

1- Calculate

To find the composition of two functions, we substitute the expression of one function into the other. In this case, we need to calculate (f ∘ g)(x) when x = 2.

First, let's find g(x) by substituting x = 2 into the expression for g(x):

g(x) = 5(x – 1)

g(2) = 5(2 – 1)

g(2) = 5(1)

g(2) = 5

Now, we can substitute g(x) into f(x):

(f ∘ g)(x) = f(g(x))

(f ∘ g)(x) = f(g(2))

(f ∘ g)(x) = f(5)

Using the expression for f(x):

f(x) = 2x + 1

(f ∘ g)(x) = 2(5) + 1

(f ∘ g)(x) = 10 + 1

(f ∘ g)(x) = 11

Therefore, when x = 2, the value of (f ∘ g)(x) is 11.

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Answer:

The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.

Step-by-step explanation:

A graph is a visual representation of data or mathematical relationships. In mathematics, a graph typically consists of two axes, usually labeled x and y, that intersect at the origin (0,0).

To graph the equation 12x - y = 2, we need to rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, we'll isolate y by subtracting 12x from both sides:

-12x + 12x - y = 2 - 12x

-y = -12x + 2

Now, we'll divide both sides by -1 to get y by itself:

y = 12x - 2

So the slope-intercept form of the equation is y = 12x - 2, which means the slope is 12 and the y-intercept is -2.

To graph this equation, we can plot the y-intercept at (0, -2), and then use the slope to find additional points. Since the slope is positive, we can move up 12 units and right 1 unit to find another point on the line. Connecting these points gives us the graph of the equation.

Here's a rough sketch of the graph:

   |

   |

   |

   |

   |      /

   |     /

   |    /

   |   /

   |  /

   | /

   |/

----+---------------

   |

   |

   |

   |

   |

Note that the line is upward-sloping and intersects the y-axis at -2.

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The power p that makes the equation dimensionally consistent is 1.

Power can be defined as the amount of work completed in a given time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.

To determine the power of p that makes the equation dimensionally consistent, we must analyze the dimensions of each term in the equation.

Let's look at the dimensions of the variables involved:

Velocity \((v): [L][T]^{-1}\) (dimension of length divided by time)

Acceleration (a): \([L][T]^{-2}\) (dimension of length divided by time squared)

Distance (x): [L] (dimension of length)

Now, let's analyze each term in the equation:

\(v^2: [L]^2[T]^{-2} \\ 2a: [L][T]^{-2} \\ x^p: [L]^p\)

For the equation to be dimensionally consistent, the dimensions of the left-hand side (v²) should be equal to the dimensions of the right-hand side

\((2ax^p)\)

Comparing the dimensions of the two sides, we have:

\([L]^2[T]^{-2} = [L][T]^{-2}[L]^p\)

On the left-hand side, we have dimensions of length squared divided by time squared, while on the right-hand side, we have dimensions of length to the power of (1 + p) divided by time squared.

Since the dimensions must be equal, we can equate the exponents of the length and time terms:

2 = 1 + p (from the exponents of [L] and [T])

Solving for p:

p = 2 - 1

p = 1

Therefore, the power p that makes the equation dimensionally consistent is 1.

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Through applying the principle of dimensional analysis, it is determined that 'p', the power making the expression v^2 = 2ax^p dimensionally consistent, equals 1.

The given relation is v^2 = 2ax^p. Here, the left side (v^2) has dimensions of (Length^2/Time^2), the right side 2a has dimensions of (Length/Time^2) and x^p has dimensions of (Length^p). For the equation to be dimensionally consistent, the dimensions on both sides must be equal.

Therefore, we have (Length^2/Time^2) = (Length/Time^2) * (Length^p), which simplifies to Length^2 = Length^(1+p). For these two to be equal, p must equal 1.

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Answer: C. 2 and 3 only

Step-by-step explanation:  i did the same quiz

\(Hello\) \(There!\)

Quite easy...

It's -20.

Hopefully, this helps you!!

P.S I love late points.

:>

\(AnimeVines\)

Answer:

2:00 PM

Step-by-step explanation:

time per student = 60 mins = 1 hr

number of student = 4

time of break = 10 mins

hr : mins

start: 9:30 AM

student 1: 1

break: 10

student 2: 1

break: 10

student 3: 1

break: 10

student 4: 1

\( - - - - - - \)

13:60 --> 1 hr

= 14:00

2:00 PM (ANS)

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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x= -8

Step-by-step explanation:

3x + 6 = 2(x-1)

3x + 6 = 2x - 2

3x - 2x = -2 -6

x = -8

Answer:

lol its not understanding

Answer:

A)

B)

D)

Step-by-step explanation:

Answer:

Congruent

Step-by-step explanation:

The algebraic expression that models the situation is given by:

5x³.

As stated in the problem, the number is represented by x. Then:

Hence the algebraic expression that models the situation is given by:

5x³.

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Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

point 01 (-3, 3)

point 02 (2 , -32)

Step 02:

equation of the line (y = mx + b)

slope = m

(y - y1) = m (x - x1)

(y - 3) = -7 (x - (-3))

y - 3 = -7 (x + 3)

y = -7x - 21 + 3

y = -7x - 18

The answer is:

y = -7x - 18

The 84th derivative of 2sin(x) at x = -π/3 is -2cos(-π/3) = -2cos(π/3) = -2(-1/2) = 1.

The 84th derivative of 2sin(x) at the point x=-π/3 can be found using the chain rule and the fact that the derivative of sin(x) is cos(x). The chain rule states that the derivative of a function f(g(x)) is f'(g(x))g'(x). In this case, f(x) = 2sin(x) and g(x) = x, so f'(x) = 2cos(x) and g'(x) = 1. Therefore, the 84th derivative of 2sin(x) is 2cos(x) * 1 = 2cos(x).

To find the value of the 84th derivative at the point x=-π/3, we simply plug in -π/3 for x in the expression 2cos(x):

2cos(-π/3) = 2 * (1/2) = 1

Therefore, the 84th derivative of 2sin(x) at the point x=-π/3 is 1.

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Answer:

20

Step-by-step explanation:

Long Division, cancel the zeroes, then 80/4 which is 20

Answer:

20

Step-by-step explanation:

8000/400= 20

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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Answer:

48 iches

Step-by-step explanation:

720/15 = 48

Answer:

48:720

Step-by-step explanation:

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

An equation is an expression that shows the relationship between two or more variables and numbers.

A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.

Hence:

0.7 / 8 = 7 / 80

The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form

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The missing length in the triangle is 12 units

From the question, we have the following parameters that can be used in our computation:

Area = 24 unit square

Base length = 4 units

using the above as a guide, we have the following:

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

1/2 * 4 * x = 24

Evaluate

x = 12

Hence, the missing length is 12 units

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Emilio can make 6 servings of soup.

As Emilio needs 13 3/4 ounces of chicken broth to make one serving of soup, To find the number of servings of soup he can make using 82.5 ounces of chicken broth, we need to divide the total amount of chicken broth by the amount required to make one serving.

So, the number of servings of soup Emilio can make is; Number of servings of soup = Total amount of chicken broth ÷ Amount of chicken broth required for one serving.

Putting the values we get, Number of servings of soup = 82.5 oz ÷ 13 3/4 oz.

We know that, 3/4 oz = 0.75 oz.

Therefore, Number of servings of soup = 82.5 oz ÷ (13 + 0.75) oz.

Number of servings of soup = 82.5 ÷ 13.75.

Number of servings of soup = 6.

Therefore, Emilio can make 6 servings of soup.

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