The diagram shows solid pyramid ABCDE.
The base BCDE of the pyramid is a horizontal square w side lengths 12cm
The vertex A of the pyramid is vertically above the midpoint of BD
The volume of the pyramid is 768cm3
Calculate the size of the angle between AB and the base of the pyramid.

Answer:

-1/4

Step-by-step explanation:

the slope is going down by a rate of -1/4

The inequality which corresponds with the graph below is x + y ≤ 0.

A mathematical expression in which the sides are not equal is referred to as being "inequality." An inequality, in its most basic form, is a comparison of any two values that shows that one value is less than, greater than, or equal to the value on the other side of the equation.

Less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠) are the inequality symbols.

Comparing numbers and identifying the range (or ranges) of values that meet the specifications of a given variable are both done using inequalities.

The equation of the above straight line is

y = −x

or

x + y=0

Now the shading in the above graph is towards the negative part (where x is negative).

Also the line is dark and not dotted. This indicates that the points on the line are part of the inequality.

Thus, the inequality which corresponds with the graph below is x + y ≤ 0.

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Full question:

Which inequality corresponds with the graph below

a. y - x ≤ 0

b. x - y ≤ 0

c. y + x ≤ 0

d. None of the above

The sum of the measures of angles D and E is (3x + 25)° greater than the measure of angle F. which is the correct answer would be an option (C).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The given Triangle DEF which has

∠D = 3(x+10)°

∠E = (2x+15)°

∠F = 2(x+10)°

The sum of the measures of angles D and E :

3(x+10)° + (2x+15)°

3x + 30 + 2x + 15

5x + 45

Difference between the sum of the measures of angles D and E and the measure of angle F :

5x + 45 - 2(x+10)

5x + 45 - 2x - 20

3x + 25

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Answer:

A) : 10% = 48

Final result: 432

Step-by-step explanation:

10 * 480 / 100

= 4800 / 100

= 48

480 - 48 = 432 (final result)

Answer:

B) : 54

Final result: 306

Step-by-step explanation:

15 * 360 / 100

= 5400 / 100

= 54

360 - 54 = 306 (final result)

I hope this helps!

*To find the percent, use this formula: part percent * whole number / 100

Allan will be ready to start work as a real estate agent; After he passes a licensing exam to prove he's qualified to sell real estate.

Selling real estate is the process of transferring ownership of a piece of property from one person or entity to another.

The complex process that involves several steps, includes determining the market value of the property, marketing the property, negotiating with prospective buyers, and finally closing the sale.

This is important to work with an experienced real estate professional who can help guide, through each step in the process and ensure that everything is handled properly.

So the correct option is C.

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Answer: d + 23 = 56

Step-by-step explanation:

" More than" is another way of saying "added by", so your problem is Delia's height added by 23 is 56. If we replace Delia's height with the variable d, then we get d added by 23 is 56. This is really easy now,

d + 23 = 56

Answer:The answer is 1 1/3 pounds of chicken.

Step-by-step explanation:

For a single serving of the recipe, you would need half the amount of chicken that is required for a serving size of 2, which is 2 2/3 / 2 = 1 1/3 pounds of chicken.

Answer:

I guess it's 58° fr apparently

In the problem, the information is not enough to find whether the problem is proportional or not.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given a phrase, a wood deck is quoted at a bulk cost for 25 square ft.

to find the problem proportional or not,

for proportional there must be at least four quantities, whose ratios are to be compared and if their ratios are equal they are said to be in proportion.

for example,

When two ratios are equal, they are said to be in proportion. For instance, the time it takes a train to travel 50 kilometres per hour is equal to the time it needs to travel 250 kilometres in 5 hours. e.g., 250km/5 hours = 50 km/h.

Hence for the given question, the information is not enough.

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Answer:

[tex]2y^3+3y^2+1[/tex]

Step-by-step explanation:

Given expression:

[tex](6y^3+y^2)+(-4y^3+2y^2+1)[/tex]

Remove the parentheses:

[tex]6y^3+y^2-4y^3+2y^2+1[/tex]

Collect like terms:

[tex]6y^3-4y^3+y^2+2y^2+1[/tex]

Combine like terms:

[tex]2y^3+3y^2+1[/tex]

The payment amount rate required to pay off the loan in 2 years is k = $4,266.67 and the total interest paid during the two-year period is $2,142.66. This is calculated by using the formula for continuous compounding to solve for k and the formula for calculating interest to solve for I.

1. Calculate the payment rate required to pay off the loan in 2 years:

k = P/(1 - e^(-rt))

= 7506/(1 - e^(-0.15*2))

= 7506/(1 - 0.8698)

= 4,266.67

2. Calculate the total interest paid during the two-year period:

I = P(e^(rt) - 1)

= 7506(e^(0.15*2) - 1)

= 7506(1.3302 - 1)

= 2,142.66

Payment rate required to pay off the loan in 2 years: K = $5,062.89. The amount of interest paid during the 2-year period is $1,506.11. The borrower pays back a total of $9,012.89 over the 2-year period. The interest rate of 15% is continuously compounded and the payments are made at a continuous rate of K dollars per year.

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Answer:

The equation g² + 42 = 0 has two real solutions.

To solve this equation, we can start by subtracting 42 from both sides to get g² = -42. Then, we can take the square root of both sides to get |g| = √42. Since the square root of a number is positive, this means that g = √42 or g = -√42. These are the two solutions to the equation.

Answer:

Hope is the thing with feathers

Step-by-step explanation:

this is because this phrase expresses how hope moves through someone

The volume of the cylinder is 602.9 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We need to find the volume of the cylinder whose height is 3 cm and diameter is 16 cm.

Radius =16/2=8 cm.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given figure,

The radius of a cylinder is 8 cm and the height of the cylinder is 3 cm.

V = 3.14×8²×3

=3.14×64×3

=602.88=602.9 cm³

Hence, the volume of the cylinder is 602.9 cm³

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The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2 is the ordered pair (4.2, -0.2).

In this exercise, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.

Mathematically, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(3(4) + 2(-2))/(3 + 2)],  [(3(-3) + 2(4))/(3 + 2)]

P(x, y) = [(27 - 4)/(5)],  [(-9 + 8)/5]

P(x, y) = [21/5],  [-1/5]

P(x, y) = [4.2, -0.2]

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The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The parent function is given below.

f(x) = x³

The function is stretched by 5 units and gets reflected over the y-axis. Then the function is given as,

f(x) = (-5x)³

The function is shifted by 4 units downward then subtract 4 from the function. Then the function is given as,

f(x) = x³ - 4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

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The length of the sides are given by the 45°–45°–90° triangle theorem.

Correct responses:

AB = 1

AC = 1

BC = √2

The 45°–45°–90° triangle theorem is one that states that the ratio of the lengths of the sides of triangles having interior angles of 45°, 45°, 90° is expressed as 1 : 1 : √2

We know that the lengths of the legs of an isosceles triangle are equal. Now, the legs of the given isosceles right triangle in the attached file are AB and AC.

Thus, we can say that, AB = AC

If the length of AB s 1 unit, then we have;

AB = AC = 1

Using Pythagoras theorem, we have;

BC² = AB² + AC²

Which gives; BC = √2

Therefore, by plugging in the length of AB = AC = 1, we have;

AB = 1

AC = 1

BC = √2 ≈ 1.414

The above values are in the ratio 1 : 1 : √2, which now corresponds with the 45°-45°-90° triangle theorem.

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Answer:

23

Step-by-step explanation:

Answer:

m∠A = 70°

Step-by-step explanation:

The dashes on line segments AB and AC mean that they are equal in length.  Therefore, the triangle is an isosceles triangle.  This means that the two base angles, ∠B and ∠C are congruent.

Interior angles of a triangle sum to 180°.  Therefore:

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠A + 55° + 55° = 180°

⇒ m∠A + 110° = 180°

⇒ m∠A + 110° - 110° = 180° - 110°

⇒ m∠A = 70°

The solution for the given quadratic equation is  x = -11 or x = -1.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

x² + 12x + 11 = 0.

The graph of the equation is, plotted below.

From the graph,

The solutions are x = -1 and x = -11

The second approach to find the solution for the given quadratic equation is factorization method,

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x(x + 11) + 1(x + 11) = 0

(x + 11) (x + 1) = 0

x = -11 or x = -1

So the required solution is x = -11 or x = -1.

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The expression of the probability that the flight did not arrive on time at El Centro is as follows:

Probability is the chance or likelihood that an expected outcome occurs or does not occur.

Probability describes an occurrence's relative value (ratio) over many possible events.

When the likelihood is 100% certain or uncertain, the probability is 1 or 0, respectively.  Otherwise, probability as a fractional value lies between zero and one.

Air Travel

Airport:                              El Centro (CA)    Baltimore (MD)

Arrivals (Percent on-time)    80%                    82%

Did not arrive on time:

Percentage =                       20% (100 - 80)    18% (100 - 82)

Fraction =                             1/5 (20/100)        9/50 (18/100)

Decimal =                             0.2 (20/100)        0.18 (18/100)

Thus, the probability that the El Centro flight did not arrive on time is 20%, 1/5, or 0.2.

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Answer:3 hours 20 mins

Answer:

3 hours 20 minutes is the length of the movie.

The simplification of the expression -5.2t+8.2-7.8t is 8.2-13t

Simplification of expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

For example, 2x+5y-8x + y can be simplified by collecting like terms. The variables here are x and y

therefore 2x-8x+5y+y = 6y - 6x = 6( y-x)

Similarly, simplifying -5.2t+8.2-7.8t, we collect the term of t' together.

-5.2t-7.8t+8.2= -13t+8.2

= 8.2-13t

therefore the simplification of -5.2t+8.2-7.8t is 8.2-13t

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The roots of the quadratic equation are x= -1 and x= -11

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

y = x²+12x+11

Axis of Symmetry is  x={-6.00}

Vertex at  (x,y) = (-6.00,-25.00)

x -Intercepts (Roots) :

Root 1 at  (x,y) = (-11.00, 0.00)

Root 2 at  {x,y} = (-1.00, 0.00)

Take some random values for x and find corresponding y values using the equation  y = x²+12x+11

Plot the points to get the graph attached

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Kim's total salary for each month is given as follows:

$2,942.

Kim's salary is divided into two earnings, as follows:

Kim's sales were $16,100 for last month, hence her commission is found applying the proportion as follows:

0.12 x 16100 = $1,932.

(the proportion is obtained multiplying the decimal equivalent of the percentage by the total amount to obtain the desired amount).

Then, adding to the fixed salary of $1,010, her total salary for the past month is obtained as follows:

1010 + 1932 = $2,942.

The problem is incomplete, hence we suppose that it asks for Kim's total salary last month.

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Answer:

700 the answer is 700.

Step-by-step explanation:

the answer is 700

a. The circumference of the yellow circle is 43.96 ft.

b. The circumference of the purple circle is 28.26 ft.

A circle is a figure that is bounded by a curved path called circumference. Thus a circumference if the boundary of a given circle. It can be determined by;

circumference of a circle = 2πr

where r is the radius of the circle.

In the diagram given in the question, we have;

a. diameter of the purple circle = 9 ft, so that;

r = d/2

 = 9/2 = 4.5 ft

Circumference of the purple circle = 2πr

                         = 2*3.14*4.5

                         = 28.26

Circumference of the purple circle is 28.26 ft.

b. diameter of the yellow circle = 2.5 + 9 + 2.5

                                                    = 14

So that;

r = d/2

 = 14/2 = 7 ft

Circumference of the yellow circle = 2πr

                            = 2*3.14*7

                            = 43.96

The circumference of the yellow circle is 43.96 ft.

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Answer:

56, 265.

Step-by-step explanation: