Can some plz find the measure of the number angles in the diagram
///32 points

If a bank pin is a string of four digits, each digit 0-9, then the number of choices there are for a pin if the last digit is odd is 5 ⋅ 10³. The answer is option (d).

To find the number of choices for a bank pin, follow these steps:

Therefore, there are 5000 choices for a bank pin if the last digit must be odd.

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To prove that when a sphere is moved about its center, it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position using orthogonal properties, follow these steps:

1. Consider a sphere with center O and any diameter AB.
2. When the sphere is moved about its center, the center O remains fixed.
3. Rotate the sphere such that diameter AB is now in a new position A'B'.
4. Since the sphere has been rotated about its center, the orthogonal properties are preserved. This means that the planes that are perpendicular to the diameter at the center O remain unchanged.
5. The orthogonal planes to diameter AB intersect at the center O and form a fixed line in space.
6. Now, rotate the sphere again, such that diameter A'B' returns to its initial position as AB. This rotation is possible because the orthogonal planes and their intersection (the fixed line) are preserved.
7. Since diameter A'B' has returned to the initial position of AB, it proves that it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position.

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For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.

The basic definition of a one-to-one function is the mapping of two sets. If each element in the range of a function g matches precisely one in the domain of g, then the function g is one-to-one. 1-1 is another way to represent one-to-one. A function or formula, such as f() connects the values of two variables in such a way that the values of the first variable's elements determine the values of the second variable in exactly the same ways.

We have:

{(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)}

We can see the number of the 2nd position is prime and in sequence so, we can easily determine that 2, 3, 5, 7, 11, and next will be 13.

For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.

When every element in a function's range and domain match exactly one another, the function is said to be one-to-one. 1-1 is also used to indicate one-to-one. A function or formula, such as f() links the elements and values of one variable to those of another in such a way that the elements of the first variable exactly predict the elements of the second variable.

The complete question is-

For what value of c is the function one-to-one?

{ (1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c) }

a)2

b) 5

c)11

d)13

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If < A and then m< A + m/B = 90°, then D. Definition of Complementary Angles

When the sum of two angles is 90°, the angles are said to be complementary. In other words, if two angles add up to form a right angle, they are called complementary angles. The two angles are said to complement each other in this context.

Supplementary angles are two angles that add up to 180 degrees, whereas complementary angles are two angles that add up to 90 degrees.

An angle measuring 72 degrees has a complement of 18 degrees.

Therefore, based on the information given, the correct option is D.

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Answer:

No, it is NOT a function.

Step-by-step explanation:

A functions' inputs are assigned to exactly one output.

We are given the points:

{(8,2) (4,-3) (6,4) (8,1)}

The input of 8 is repeating.

The given relation is not a function.  

Hope this helps!

The amount by which Stephanie sold the item is given as follows:

1560 naira.

The amount by which Stephanie sold the item is obtained applying the proportions in the context of the problem.

The amount at which the item was purchased is given as follows:

1500 naira.

Hence the amount at which the item was sold is given as follows:

1.04 x 1500 = 1560 naira.

The problem asks for the amount by which Stephanie sold the item.

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The acceleration of the particle at S = 40 m is approximately 2\(m/s^2\)

To determine the acceleration of the particle when S = 40 m, we need to use the information given in the graph. The graph shows the velocity of the particle as a function of its displacement, S. Recall that acceleration is the rate of change of velocity with respect to time.

We can estimate the acceleration at S = 40 m by finding the slope of the tangent line to the velocity curve at that point.

One way to estimate the slope of the tangent line is to draw a line that is as close as possible to the curve at the point S = 40 m, and then find the slope of that line. We can use a ruler to draw a tangent line that intersects the curve at S = 40 m, as shown in the graph.

We then measure the displacement and velocity of two points on the tangent line, one on either side of S = 40 m. For example, we might choose the points S = 35 m and S = 45 m, and find their corresponding velocities, which are approximately v = 25 m/s and v = 45 m/s, respectively.

The slope of the tangent line is then given by the change in velocity over the change in displacement:

acceleration = (v2 - v1) / (S2 - S1)

Substituting the values we found, we get:

acceleration = (45 m/s - 25 m/s) / (45 m - 35 m) = 2\(m/s^2\)

Therefore, the acceleration of the particle at S = 40 m is approximately 2\(m/s^2\).

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We would need to round up to 32 pumps to ensure that the ball is equation completely inflated because we are unable to use fractional pumps.

In mathematical equations, the equals symbol (=) is used to indicate the equality of two claims. Mathematics refers to an equation as a declaration that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers with a space.

Mathematical expressions can be used to describe the connection between the two lines on either side of a character. The emblem and the particular piece of software are frequently identical. like, for instance, 2x - 4 equals 2.

\(V = (4/3)\pi r^3\)

where r is the sphere's diameter (which is half of the diameter).

r = 23.5 / 2 = 11.75 cm

V = (4/3)π(11.75)³ ≈ 7241.71 cm³

Now, by dividing the overall volume by the volume per pump, we can determine the number of pumps necessary to inflate the ball:

Pump count equals V/volume per pump.

Pump count is equal to 7241.71 / 230 31.48.

So, for the basketball to be fully inflated, it would require about 31.48 pumps. We would need to round up to 32 pumps to ensure that the ball is completely inflated because we are unable to use fractional pumps.

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To calculate the flux of the vector field F = (x/e)i + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can use the divergence theorem.

The divergence theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface.

First, let's calculate the divergence of F:

div(F) = (∂/∂x)(x/e) + (∂/∂y)(z-e) + (∂/∂z)(-xy)

= 1/e + 0 + (-x)

= 1/e - x

To calculate the surface integral of the vector field F = (x/e) I + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can set up the surface integral ∬S F · dS.

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Let's add all the money used to purchase all these items to find the overall cost :

\( \qquad \sf  \dashrightarrow \: ₱12.75 + ₱15.35 + ₱19.50\)

\( \qquad \sf  \dashrightarrow \: ₱ \: 47.60\)

So the total cost is ₱ 47.60

Answer:

your answer would be b

Step-by-step explanation:

if you divide each side by 5 you get

15/5:5/5

3:1

hope this helps! have a nice day!

Answer:

25%

Step-by-step explanation:

A department store buys 400 shirts at a cost of $6,400 and sells them at a selling price of $20 each. Find the percent markup.

I couldn't seem to calculate: A department store buys 500 shirts at a cost of $12,000 and sells them at a selling price of $30 each.

Find the percent markup

The percent markup is % (Round to the nearest whole number as needed.)

Answer:

x and y are both 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given an isosceles right triangle with hypotenuse length 6, you want the lengths of the two legs of the triangle.

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2 = x : y : 6

Multiplying by 6/√2 = 3√2, the side length ratios are ...

  x : y : 6 = 3√2 : 3√2 : 6

The values of x and y are 3√2 ≈ 4.243.

Answer:

A. to use algebraic methods to solve geometric problems

Step-by-step explanation:

Answer:

to use algebraic methods to solve geometric problems

Step-by-step explanation:

The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

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Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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The first step performed by Daniela was that she subtracted 1 / 2 x from both sides of the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, Daniela is trying to solve an equation for x.

1/2 x + 3 = 7/2 x + 5

The variable of the equation is x. The variable of an equation is a number represented with letters.

Hence, the first step performed by Daniela is as follows:

Subtract 1 / 2 x from both sides of the equation

1/2 x + 3 = 7/2 x + 5

1/2 x - 1 / 2 x + 3 = 7/2 x - 1 / 2 x + 5

3 =  7/2 x - 1 / 2 x + 5

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Answer:

150

Step-by-step explanation:

Answer:

150cm

Step-by-step explanation:

Answer:4x+7

Step-by-step explanation:

The linear function for the number of trimmers assembled is:

y = 7 + 4x.

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

A linear function has the following format:

\(y = ax + b\)

In which:

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

\(y(x) = 4x + 7\)

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As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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Answer:

1/125

Step-by-step explanation:

Answer:

4+2(k)

Step-by-step explanation:

break it down

4 more than twice kimos age

so 2(k) to represent twice than add 4

The number of bananas are 6 and the number of peaches are 4.

What is system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Given:

Hua and her children went into a grocery store and she bought $9

worth of bananas and peaches.

Each banana costs $0.50 and each

peach costs $1.50. She bought a total of 10 bananas and peaches altogether.

Let

B = number of bananas

P = number of peaches

0.5 * B = cost of number of bananas purchased

1.5 * P = cost of number of peaches purchased

So,

B + P = 10                 ..(1)

0.5B + 1.5P = 9         ..(2)

From equation (1),

B = 10 - P        ..(3)

Plug value of B in equation (2),

0.5(10 - P) + 1.5P = 9

5 - 0.5P + 1.5P = 9

5 + P = 9

P = 4

Plug P = 4 in equation (3)

B = 10 - 4

B = 6

Hence, the number of bananas are 6 and the number of peaches are 4.

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9514 1404 393

Answer:

  1/9 hours

Step-by-step explanation:

The difference between the times is ...

  7/9 -2/3 = 7/9 -6/9 = 1/9 . . . . hours

Gerry spent 1/9 more hours researching than searching.

Answer:

1/9 hours.

Step-by-step explanation:

7/9 - 2/3

The LCM of 3 and 9 is so this becomes:

7/9 - (2*3)/(3*3)

= 7/9 - 6/9

= 1/9.

Answer:

each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.

Step-by-step explanation:

57.2 divided by 8 is 7.15

Answer:

{4}

Step-by-step explanation:

first move 7 to RHS in addition

then 4 in RHS in division

Answer:

{-1/2,4}

Step-by-step explanation:

Answer:

Hence, the correct option is (E) none of these as none of the given options match with the obtained answer.

Step-by-step explanation:

AI-generated answer

The formula for exponential growth is given as y = ab^x

Where y is the final amount, a is the initial amount, b is the growth factor and x is the time elapsed.

According to the question, the bug population starts at 10 and grows to 50 in one hour. Therefore,

50 = 10b^1

b = 5

So, the formula becomes: y = 10(5)^x

To find out how many bugs are there 3 hours after the start, we substitute x = 3 in the formula.

y = 10(5)^3 = 1250

Therefore, the number of bugs after 3 hours is 1250.

Hence, the correct option is (E) none of these as none of the given options match with the obtained answer.

Answer:

If each square (from the squared paper) has side length 1, then that hexagon has four sides of length √12+42=√17 and two sides of length √32+32=√18.Step-by-step explanation: