The slope and its opposite reciprocal slope form a _____ angle.

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

Answer:

To construct an obtuse angle, follow these steps:

1.Draw a straight line (the base) using a ruler or a straightedge.

2.Choose a point on the line, which will be the vertex of the angle you want to construct. Label this point A.

3.Using a compass, draw an arc with point A as the center and any radius. This arc should intersect the line twice, creating two points of intersection. Label these points B and C.

4.With the same compass setting, draw an arc with point B as the center, intersecting the line. Label this point D.

5.Draw an arc with point C as the center, intersecting the line. Label this point E.

6.Draw a straight line connecting point D to point E. This line should cross the line at F, which will be the vertex of the duplicated obtuse angle.

7.Using a compass, measure the length of segment AB and transfer it to segment EF, marking point G where the length of AB is equal to the length of FG.

8.Draw a straight line connecting point F to point G, and you have duplicated the obtuse angle.

To verify that the angle is indeed obtuse, measure the angle using a protractor, and it should be greater than 90 degrees

Step-by-step explanation:

Answer:

chhgggggfggghghyuuyyytggfff

Answer:

D: y= -2x -1

Step-by-step explanation:

The line crosses the y axis at -1 and using the "rise over run" phrase you can tell that the next point is 2 up and 1 over (2/1 =2) the line is also negative because it moves down from left to right. Therefore, y= -2 -1

Answer:

1, itself, and 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if a number ends in 5 or 0 it can be divided by 5

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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Answer:

volume = 4/3 × pi × r^3

Step-by-step explanation:

Answer:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Circumference   =   2 • π • radius   =   π • diameter

Circle Area   =       π • r²     =     ¼ • π • d²

The circumference of a circle is directly proportional to its radius. The ratio between a circle's circumference and its diameter is pi, a constant that equals approximately 3.142. The circle's diameter, in turn equals twice the radius. A regular solid that has a circle as a face is called a cylinder. Like all geometric prisms, a cylinder's volume is the product of its cross-sectional area and its length. The cross-sectional area is the area of its circle, and you can calculate it from the circle's radius. Multiply the circle's radius by 2 to calculate its diameter. For instance, if the radius equals 6 inches, compute as follows to determine the diameter: 6 x 2 = 12 inches. Multiply the diameter by pi to get the circle's circumference: 12 x 3.142 = approximately 37.7 inches. Find the square of the radius: 6 x 6 = 36 square inches. Multiply the answer determined in Step 3 by pi to get the circle's area: 36 x pi = 113 square inches. Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.

The area of the figure, given that it is a square with a diagonal is 72 yd ².

The typical way of finding the area of a square, would be the formula :

= Side x Side

However, if you are given only the diagonal, then you can still find the area of the square by the formula :

= Diagonal ² / 2

The area of the figure is therefore:

= 12 ² / 2

= 144 / 2

= 72 yd ²

Note : The length of the diagonal is twice 6 because 6 is the length of half the diagonal.

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Answer:

The position of the concrete relative to its initial position is 4ft behind its initial position

Step-by-step explanation:

Let us analyze the problem following the sequence of events.

First of all, the crane is initially 7 ft from the back of the truck.

Once the truck drives away, the crane lowers the concrete at 11 ft away from the back of the truck.

To get this distance relative to the initial position, we have to subtract the initial position from the final position of the concrete.

This will  be

11ft - 7ft = 4 ft

The position of the concrete relative to its initial position is 4ft behind its initial position

Answer:

8f + 4g

Step-by-step explanation:

Given

2(4f + 2g)

Required

Determine the equivalent expression

2(4f + 2g)

Open the bracket

2 * 4f + 2 * 2g

Perform right operations on the above

8f + 4g

The expression cannot be further simplified; Hence the result of  2(4f + 2g) when simplified is 8f + 4g

Answer: 8f + 4g also 4(2f + g) and 4f + 4f+ 4g

Step-by-step explanation:

Answer:

The answer is X=11 and X=-11

Step-by-step explanation:

\( {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11\)

|-9 + 1| - 4(4)

|-9 + 1| = |-8| = 8

4(4) = 4x4 = 16

Now you have 8-16 = -8

The answer is -8

The limit to the above question is 0.

The value that a function approaches when its input value approaches a certain value is known as a limit in mathematics.

To evaluate the limit:

We can use L'Hopital's rule. Taking the derivative of the numerator and denominator with respect to x:

lim x→0 (1 - cos x / x) = lim x→0 [(sin x) / 1]

= sin(0)

= 0

Therefore, the limit is 0.

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Since opposite angles of a kite are equal, therefore ∠B and ∠D are also equal. So, m∠D = m∠B = 60°.

What is right angles?

Right angles are angles that measure exactly 90 degrees. They are formed when two straight lines intersect at a point, creating four equal angles. Right angles are the most common type of angle and can be found in many shapes, including squares, rectangles, and triangles. Right angles are also used in architecture and engineering to create structures that are strong and stable.

In the given figure, we can see that ∠A and ∠C are both right angles, so they are both equal to 90°.

Since opposite angles of a kite are equal, therefore ∠B and ∠D are also equal. So, m∠D = m∠B = 60°.

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Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

         Base Area : Circle

               \(A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi\)

        Curved Surface: conical

                \(A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi\)

The total surface area of the cone can be written as ( A ):

               \(A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2\)

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

The approximate length of arc is 2.2

We can find the approximate length of arc s on the circle given below by using the formula given below:

arc length = θ/360° × 2πr Where,θ = central angle of the arc in degrees r = radius of the circle

Given that, radius of the circle = 5.6 in and central angle of the arc is 75°.

Therefore, the approximate length of arc s on the circle is as follows:

arc length = θ/360° × 2πr

arc length = 75/360° × 2 × 3.14 × 5.6

arc length = 0.208 × 2 × 3.14 × 5.6

arc length = 2.19 (rounded to nearest tenth)

Therefore, the approximate length of arc s on the circle is 2.2 in.

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1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

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Using the together rate, it is found that the value that must be discarded is given by x = -9.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

\(\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}\)

\(\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}\)

\(x^2 + 18x = 80x + 720\)

\(x^2 - 72x - 720 = 0\)

Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:

\(\Delta = (-72)^2 - 4(1)(-720) = 8064\)

\(x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9\)

\(x_2 = \frac{72 - \sqrt{8064}}{2} = -9\)

They cannot have a negative rate, hence the value that must be discarded is given by x = -9.

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Answer:

X = -10

Step-by-step explanation:

PLATO

In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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Answer:

7.02 ft

Step-by-step explanation:

Tan=opposite/adjacent

Answer:

7.02 ft

hi

your welcome have a good

day

Step-by-step explanation:

y = 2x -5. Option A is correct

The equation of a line in slope-intercept form is expressed as:

where:

m is the slope

b is the intercept

The slope of the line passing through the coordinates (4,3) and (2, -1) is given as:

Determine the y-intercept" "b"

Using the coordinate point (4, 3) and m = 2

Determine the required equation

Hence the equation of the line that passes through (4,3) and (2, -1) is y = 2x -5

According to the equation, values of "Y" in the table would be 81, 126, 321, and 406 when X is 4, 5, 8, and 9 Respectively.

As given equation is "Y = 5x²+1"

According to the table, we will put values of X in the equation to find the value of Y.

When X = 4,

Y = 5(4)² + 1

Y = 81

When X = 5

Y = 5(5)² + 1

Y = 126

When X = 8

Y = 5(8)² + 1

Y = 321

When X = 9

Y = 5(9)² + 1

Y = 406

Therefore values of Y would be 81, 126, 321, and 406 when X is 4, 5, 8, and 9 Respectively.

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—------------- CORRECT QUESTION FORMAT IS GIVEN BELOW —-----------

(Q). Complete the table to evaluate the function Y = 5x² + 1.

(Table is given below as in image section)

Answer: Each point appears to give the same number of tickets

9 points give 54 tickets

Step-by-step explanation:

Each point appears to give the same number of tickets

To find the number of tickets, a point gives

divide the number of tickets by the number of points.

18/3 = 6

you get six tickets per point

find the number of points that give 54 tickets by dividing 54 by 6

54/6=9

9 points give 54 tickets

Answer:

15/8 quartz of grape juice

Step-by-step explanation:

Given that:

Standard Recipe requirement :

1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice

Number of grape juice required for 15/4 of sparkling water ;

Let quartz of grape juice required = x

1 1/2 sparkling water = 3/4 grape juice

15 /4 sparkling water = x grape juice

3/2 = 3/4

15/4 = x

Cross multiply ;

3/2 x = 15/4 * 3/4

3/2x = 45/ 16

x = 45/16 ÷ 3/2

x = 45/16 * 2/3

x = 90/48 = 15/8

x = 15/8 quartz of grape juice

When we have an identity in algebraic terms, both sides are equal to one another.

So let's check the given equation, and expand the terms on the right side:

Since we could cancel out the terms in the middle, we end up as an identity for the left side is equal to the right side.

2) Therefore examining the options, we have the answer:

A)this is an identity because the equation is true

Solution:

Note that:

Simplify the equation to find out how much cookies did each friend get.

One friend got 2/9 of tray of cookies.

Third pair of triangles is congruent by SAS.

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

In the third pair, this rule is visible. Two pair of sides are equal to each other and the angles formed at the common vertex of the two sides are equal. Hence, the two triangles are congruent by SAS.

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Answer:

function

Step-by-step explanation:

Answer:

it is a function

Step-by-step explanation:

You just have to do y2-y1/x2-x1 and if you do everything for the first time you get 6/12 which is 2 and for the second one you get 6/12 which is 2 so it is a function

Answer:

(x+2)^2 - 6

Step-by-step explanation:

The calculator helps to slove an expression. By putting all elements one by one of the expression to get result.

What is a calculator?

A calculator is a device that performs numerical arithmetic operations. Basic calculators can only perform addition, subtraction, multiplication, and division calculations.

To perform basic operations, use the basic operation symbols. Addition (+), subtraction (-), multiplication (), and division () are examples of these operations.

Don't be concerned about the order of operations. A scientific calculator will perform calculations in the correct order.

Using the parentheses keys, you can change the order of operations. The calculator's order of operations will be overridden.

Correct your errors. If you accidentally press the wrong key, press the DEL key. This will remove the last button you pressed, but it will not remove any calculations you've made.

Make a clean sweep of your work. To clear the line, press the CLEAR button. You can probably scroll up to see previous calculations. You can delete these by pressing delete after each line.

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