Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are called latitude lines. The equator is latitude line 0. Parallel lines are numbered up to pi/2 to the north and to the south. If we assume Earth is spherical, the length of any parallel of latitude is equal to the circumference of a great circle of Earth times the cosine of the latitude angle.
a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.
b. Write an equation for the circumference of any latitude circle with angle 0
c. Which latitude circle has a circumference of about 3593 kilometers?
d. What is the circumference of the equator?

that is the 2nd one Gomez to  Chang

For this one, it is important to know that when it says "under par" think of that as a negative number.  When doing that, here are the choices:

Jones= +3

Chang: -5

Gomez: -2

Harrison: -4

In golf, the lowest score wins, so put the numbers in numerical order from lowest to highest.  Here the answer:

-5, -4, -2, +3

Now match the scores with the corresponding person:

Chang, Harrison, Gomez, and Jones

So A is your answer.

Hope this helps!

No.

An integer is a whole number.

In the case of .634 (or 0.634), we see that it is not a whole number, as there is a decimal point, and numbers to the right of the decimal points.

hope this helps

No, because .634 is an odd number and odd numbers cannot be integers.

your answer would b c or $2600

The expected value for this tournament is given as C. $2600

The cost of hosting = 1000

The amount to be gotten if sunny = 4500

The chance that it would rain = 20 percent

4500 - 1000 = 3500

-1000 * 20%

= -200

3500 * (1-20%) = 2800

2800 - 200

= 2600

Hence the expected value that has been solved for the tournament is $2600

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In an isosceles triangle with an angle measuring 80°, the other two angles could be 50° each.

An isosceles triangle has two sides of equal length and two angles of equal measure. Since one angle measures 80°, the other two angles must be equal to each other. To find the measure of these angles, we subtract 80° from 180° (the sum of all angles in a triangle) and divide the result by 2. So, each of the other two angles in the isosceles triangle could be 50°.

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The other angles that could be in the isosceles triangle are:[tex]\[\boxed{50^\circ \text{ and } 20^\circ}\][/tex]

In an isosceles triangle, two sides are of equal length, and the angles opposite those sides are equal. The sum of the angles in any triangle is always [tex]\(180^\circ\).[/tex] Given that one angle measures [tex]\(80^\circ\)[/tex], we need to determine the possible configurations for the remaining angles.

Case 1: 80° is the vertex angle

If the [tex]\(80^\circ\)[/tex] angle is the vertex angle (the angle between the two equal sides), the remaining two angles must be equal. Let x be the measure of each of the remaining angles.

Since the sum of the angles in a triangle is [tex]\(180^\circ\):[/tex]

[tex]\[80^\circ + x + x = 180^\circ\]\[80^\circ + 2x = 180^\circ\][/tex]

[tex]\[2x = 100^\circ\][/tex]

[tex]\[x = 50^\circ\][/tex]

So, the other angles in this case are [tex]\(50^\circ\)[/tex] each.

Case 2: 80° is one of the base angles

If the [tex]\(80^\circ\)[/tex] angle is one of the base angles (the angles opposite the equal sides), there will be two such angles. Let y be the measure of the vertex angle.

Since the sum of the angles in a triangle is [tex]\(180^\circ\):[/tex]

[tex]\[80^\circ + 80^\circ + y = 180^\circ\]\[160^\circ + y = 180^\circ\][/tex]

[tex]\[y = 20^\circ\][/tex]

So, the other angles in this case are [tex]\(80^\circ\) and \(20^\circ\).[/tex]

Possible angles

Given that one angle is [tex]\(80^\circ\),[/tex] the possible configurations for the angles in the isosceles triangle are:

- [tex]\(80^\circ, 50^\circ, 50^\circ\)[/tex]

- [tex]\(80^\circ, 80^\circ, 20^\circ\)[/tex]

So, the other angles that could be in the isosceles triangle are:

[tex]\[\boxed{50^\circ \text{ and } 20^\circ}\][/tex]

These are the angles that apply based on the given conditions.

The most appropriate unit to measure the volume of a bathtub is liters.

When considering the volume of a bathtub, the most appropriate unit of measure would be liters. Milliliters are too small for such a large volume, and while gallons could be used, liters are more standard for this type of measurement in many parts of the world, including in scientific contexts.

For example, if we have a common bathtub that is 13.44 dm long, 5.920 dm wide, and 2.54 dm deep, we would calculate its volume in liters. Since a bathtub has a capacity similar to a large container, liters are an appropriate choice because they give a manageable number for the volume. In measuring smaller volumes, like that of a water balloon or a chemical solution in a lab, milliliters or a graduated cylinder may be used instead.

There are 12 inches in every foot 5 x 12 is 60 half a foot would be 12÷2=6  so 60+ 6=66 inches

Answer:

(4,0)

Step-by-step explanation:

The equation of the line is y = (-1/2)x - 2.  At the x-intercept, y = 0. Setting y = (-1/2)x - 2 to zero, we get (1/2)x = 2, and thus x = 4.  

30 tens = 30 x 10 = 300

300 ones = 300 x 1 = 300

300 is your answer

30 tens = 30 x 10 = 300

3 hundreds = 3 x 100 = 300

3 is your answer

~Rise Above the Ordinary

2x + 5 ≤ x - 3

We can treat this like a usual algebraic equation.

Subtract x from both sides.

x + 5 ≤ -3

Subtract 5 from both sides.

x ≤ -8

Thus, x is less than or equal to the quantity -8.

We can test this by plugging in two values into the original inequality: a number greater than -8, and a number less than -8.

2x + 5 ≤ x - 3

We'll use 2 first.

2 * 2 + 5 ≤ 2 - 3

9 ≤ -1 × this is incorrect

Now  we'll use -10

2x + 5 ≤ x - 3

2 * -10 + 5 ≤ -10 - 3

-15 ≤ -13 √ this is correct

Mathematics defines an algebraic equation as a statement in which a relationship between two expressions is established through an equals sign.

For the given question the equation will be:

            [tex]\rm 2x + 5 = x - 3[/tex]

On solving the above equation, x can be defined as -8.

Let the number be x.

According to the question:

Twice of x + 5 =  x - 3

This forms a quadratic equation:

             [tex]\rm 2x + 5 = x - 3[/tex]

The equation  [tex]\rm 2x + 5 = x + 3[/tex] can be solved as follows:

          [tex]\begin{aligned} \rm 2x + 5 &= x - 3\\\\ 2x - x &= -3 - 5\\\\x &= -8 \end[/tex]

Therefore the number is -8.

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The answer to your question is...

The length of the bike path is 1 5/12 miles.

To find the length of the bike path, we need to determine the total distance Mrs. Escalante travels. She rode 2/3 of a mile and then discovered she still needed to travel 3/4 of a mile. This means she has already traveled a total of 2/3 + 3/4 = 17/12 miles. Let's convert this to a mixed number: 1 5/12 miles. Therefore, the length of the bike path is 1 5/12 miles.

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Answer: A and B both are correct statements.

Step-by-step explanation:

Let ABCD is a parallelogram then its properties are as follows:-

1. Opposite angles and sides of parallelogram are always congruent.

i.e.AB=CD and AD=BC and ∠A=∠C and ∠B=∠D

2.Consecutive angles are supplementary.

i.e. ∠A+∠B=180° and ∠B+∠C=180°

3. Its diagonals bisect each other.

4. The sum of all the angles is 360°.

Final answer:

Clara needs to run 22 laps around the track, at 0.25 miles per lap, to reach her goal of 5 1/2 miles.

Explanation:

The question is about calculating the number of laps Clara needs to run to cover a distance of 5 1/2 miles, with each lap being 0.25 miles long. To find the number of laps, we divide the total distance she wants to run by the distance of one lap.

Total distance Clara wants to run: 5 1/2 miles or 5.5 miles (converting 1/2 into decimal for easier calculation).

Distance of one lap around the track: 0.25 miles.

To find the number of laps, we perform the division:

5.5 miles ÷ 0.25 miles/lap = 22 laps.

Therefore, Clara needs to run 22 laps around the track to complete her goal of 5 1/2 miles.

Answer:

The ordered pair that satisfies the equation is (7, -1)

Step-by-step explanation:

In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.

3x + 3y = 18

(-) 2x + 3y = 11

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

x = 7

Now that we have the value for x, we can plug in to either equation to find y.

2x + 3y = 11

2(7) + 3y = 11

14 + 3y = 11

3y = -3

y = -1

Final answer:

By applying the method of subtraction to eliminate one variable, we find that the solution to the system of equations 2x + 3y = 11 and 3x + 3y = 18 is x = 7 and y = -3.

Explanation:

Solving a System of Linear Equations

The two linear equations given are:

To find the solution, we can follow a method similar to the one described for solving simultaneous linear equations. We can subtract the first equation from the second to eliminate the variable y:

This gives us x = 7. Now we can substitute x back into either equation to get the value of y:

2(7) + 3y = 11

By solving this, we get y = -3.

The solution to the system of equations is x = 7 and y = -3.

The first step is to figure out what angle DEB is equal to. Check out the attached image. I've marked this as angle y and it is shown in purple.

Note how the purple angle y and the orange 160 degree angle form a straight angle (180 degrees). So the two angles add to 180. Let's solve for y

(orange angle) + (purple angle) = straight angle

(angle CEB) + (angle DEB) = angle CED

y+160 = 180

y+160-160 = 180-160 ... subtract 160 from both sides

y = 20

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

Now we can use this to figure out angle x. The three angles x, 115, and 20, combine to 180 degrees as they all glue together to form a straight angle. Let's solve for x:

x+115+y = 180

x+115+20 = 180 ...replace y with 20

x+135 = 180 ......... combine like terms

x+135-135 = 180-135 ...... subtract 135 from both sides

x = 45

Therefore, the final answer is 45

Answer:

2 3/4 in

Step-by-step explanation:

The sum of the marked distances is equal to the total distances shown:

... (1 5/8) + ? + (1 5/8) = 6

... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left

... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses

... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)

... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below

... ? = 2 3/4

_____

Comment on subtacting mixed numbers

Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.

Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)

_____

Comment on doubling a fraction

As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.

Answer:

-4.5

Step-by-step explanation:

the multiplication of 1.25(−3.6) is -4.5.

What are mathematics operations?

• A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, the given expression is :

1.25(−3.6)

Now after removing the bracket multiplication sign will apply :

1.25 x −3.6 = -4.5

Therefore, the multiplication of 1.25(−3.6) is -4.5.

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B. {-2, 2, 3, 4}

usually in a graph like this, the domain (x) is on the left side, and the range (y) is on the right side.

hope this helps! ❤ from peachimin

6y-5x=5                                           x=2y+7

x=2y+7                                              x=2(-10)+7

6y-5(2y+7)=5                                     x= -20+7

6y-10y-35=5                                       x= -13

6y-10y=5+35

-4y=40

y= -40/4

y=-10

Final answer:

To solve the given system using substitution, express x from the second equation and substitute into the first, then solve for y. After finding y, substitute it back into the second equation to find x, resulting in x = -13 and y = -10.

Explanation:

Solving Linear Equations Using Substitution Method

To solve the system of linear equations 6y - 5x = 5 and x = 2y + 7 using the substitution method, we first take the second equation, which gives us an expression for x, and substitute it into the first equation.

Step 1: Write the second equation x = 2y + 7.

Step 2: Substitute x in the first equation: 6y - 5(2y + 7) = 5.

Step 3: Expand and simplify: 6y - 10y - 35 = 5 ⇒ -4y = 40 ⇒ y = -10.

Step 4: Now that we have y, we substitute it back into the second equation to find x: x = 2(-10) + 7 ⇒ x = -20 + 7 ⇒ x = -13.

Therefore, the solution to the system of equations is x = -13 and y = -10.

Answer:

Tracie’s bus travels towards her home at an average speed of 1/2 mile per minute.

Step-by-step explanation:

The labels on the graph tell us that the independent variable, x, represents time in minutes, and the dependent variable, y, represents distance from home in miles.

Looking at the graph, we can see that the number of miles from home decreases by 1 for every two minutes.  Since the distance is decreasing, this means that the bus is getting closer to home.  Since it decreases by 1 mile every 2 minutes, this means that the speed is 1/2 mile per minute.

The answer is : A, Tracie's bus travels towards her home at an average speed of 1/2 mile per minute.

Answer:

answer is 0.001254.

Step-by-step explanation:

Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.

Also given that each stock value is independent of the other.

Let E be the event changing in value by more than 10% in a given week for Engineering Aces,

U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.

Given that P(E) =  = 19%

P(U) = 11%

P(T) = 6%

probability that all three will change by more than 10% in the same week

= P(EUT)

= P(E) P(U) P(T) since three events are independent.

=0.19(0.11)0.06

= 0.001254

Final answer:

The probability that all three stocks, Engineering Aces, Upton Clothiers, and Thompson Musical Instruments, will change by more than 10% in the same week is calculated by multiplying their individual probabilities together, resulting in a probability of 0.1254%.

Explanation:

The question asks for the probability that all three stocks will change by more than 10% in the same week, given their individual probabilities.

To find this probability, since the changes in stocks are independent of each other, we multiply the probabilities of each event occurring together. The formula for the joint probability of independent events is P(E and U and T) = P(E) × P(U) × P(T).

Using the given probabilities:

We calculate:

P(E and U and T) = 0.19 × 0.11 × 0.06

Which equals:

P(E and U and T) = 0.001254 or 0.1254%

Therefore, the probability that all three stocks will change by more than 10% in the same week is 0.1254%.

5,103 rounded to the nearest thousands is 5,000

In order to round a number to the nearest thousand, we must see if the digit in the hundreds position is greater or less than 5.

In this case, 1 is less than 5

If the number is less than five, we round the number down, and in this case, to the nearest thousand.

Therefore, the nearest thousand would be 5000

The decimal form would be 5.29150262

Answer:

[tex]x \leq 40 / 0.25\\ x \leq 160\\[/tex]

Step-by-step explanation:

If the spending limit is $ 40 and making each beads costs $ 0.25, then the amount of accounts you must do  multiplied by the manufacturing cost should not exceed $ 40.

Then the inequation that this restriction would represent is:

[tex]0.25x\leq 40\\[/tex]

Where x is the number of beads made.

This could also be written more specifically:

[tex]x \leq 40 / 0.25\\ x \leq 160\\[/tex]

Therefore the number of beads must be less than or equal to 160

The domain of the function is (0, 7) years.

The function that represents the height of the tree is defined over the period during which the tree's height changes. Given that,

The tree starts growing at 0 years (the time when it is first planted). It grows for 4 years, reaching a height of 6 feet by the end of that period.  After 4 years, the tree stops growing and remains at 6 feet for the remaining 3 years. After 7 years total (4 years of growth + 3 years of constant height), the tree is cut down.

The domain of the function that represents the height of the tree is the time interval from when the tree is planted until it is cut down.

4x + 32 - 4 = 34 - 2x

4x + 28 = 34 - 2x

4x = 34 - 2x - 28

4x = -2x + 6

4x + 2x = 6

6x = 6

x = 1