Which pairs of non-overlapping angles share a ray to make a right angle?

Answer:

115

Step-by-step explanation:

it's just 575 divided by 5. hope this helps:)

Answer: 115

Why and how?:

Because each ticket costs 5 dollars and the school earned 575 dollars total. So you have to take 575 divided by 5 and that is 115.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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The average cost of gas in June 2022 is $5.01

In September of 2021, gas cost $3.17 on average in the United States.

By June of 2022, the cost of gas had increased by 58%, so we can calculate the increase as:

Increment = 3.17 * 0.58 = 1.84

Adding the increase to the starting price:

3.17 + 1.84 = 5.01

So in June of 2022, gas cost $5.01 on average in the United States.

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Answer:

2/9

Step-by-step explanation:

Coin

A coin has 1 side heads and 1 side tails.

total number of possible outcomes = 2

desired outcome: heads

number of desired outcomes = 1

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(heads) = 1/2

Spinner

The spinner has 9 sections of equal size.

possible outcomes: the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9

total number of possible outcomes = 9

desired outcome: even number

number of desired outcomes = 4

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(even number) = 4/9

Combined probability

The coin and spinner are independent events. The overall probability of independent events is the product of the individual probabilities.

p(heads then even) = 1/2 × 4/9 = 4/18 = 2/9

Answer: 2/9

The difference between the numbers 4.7 and 2.3 is 2.4

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Between 4 and 5 , there are 10 divisions. Each division shows the value 0.1.

So, 4.7 is marked as shown in the figure.

To find the difference 4.7 - 2.3 , reverse the direction by 2.3 units from 4.7, will give us 2.4..

So, the difference between 4.7 and 2.3 is 2.4

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Answer:

400mph and 465 mph

Step-by-step explanation:

let the speed of first plane be x

speed of 2nd plane = x+65

dist travelled by first plane in 2 hrs = 2x

dist travelled by 2nd plane = 2(x+65)= 2x+130

when they meet, the sum of dist travelled by them is 1730

4x + 130 = 1730

4x = 1600

x = 400moh

x+65 = 465 mph

The equation of the line is y = 9x. The correct answer is C.

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

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

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Answer: The sum of the exterior angles of a 54-gon should be 360°.

Step-by-step explanation:

A polygon is a closed figure made up of straight lines like triangle (3-gon) , quadrilateral (4-gon) , square(4-gon), pentagon (5-gon) , octagon(8-gon) etc.

The sum of exterior angles of any polygon with n sides ( or n-gon ) is always 360 degrees.

A 54-gon is a polygon with 54 sides.

Therefore , the sum of the exterior angles of a 54-gon should be 360°.

The distance means the distance covered by the object. Hence, it will take \(1\) an hour and \(10\) minutes to drive to the campground.

What is the distance?

The length along a line or line segment between two points on the line or line segment

Here from the question,

Sunset is at \(8:10.P.M\)

Then it will take \(1\) an hour and \(10\) minutes to drive to the campground and  \(50\) minutes to cook dinner.

Hence, it will take \(1\) an hour and \(10\) minutes to drive to the campground.

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Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

2nd degree

Step-by-step explanation:

Answer:The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

Answer:

D :)

Step-by-step explanation:

wait, have you smiled today? its very important:)

The quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

We are given a quadratic function:

h (x) = x^2 + 3x − 18

We need to rewrite the function by completing the square.

We can see the coefficient of x is 3.

So, we will add and subtract the square of half that.

So, find the square of half of 3, we will get;

(3 / 2)^2 = 9 / 4 = 2.25

add and subtract the square of half of 3 from the given function, we will get;

h(x) = x^2 +3x + -18 2.25 -2.25

arrange the expression, we will get;

h(x) = (x^2 +3x +2.25) -18 -2.25

write the expression in parentheses as a square, and simplify the constant, we will get;

h(x) = (x + 1.5)^2  - 20.25

So, the square function is written as h(x) = (x + 1.5)^2  - 20.25.

Thus, the quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

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The value of x is 14 units.

When handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.

We know for angle of 30° the base is 7 and perpendicular is x

then

sin30° = 7/x

      \(\frac{1}{2} =\frac{7}{x}\)

       x = 7

hence, the value of x = 14 units

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Step-by-step explanation:

(3x-15)°= 105°

3x=120

x=40°

(y+25)°=180-105

(y+25)°=75°

y=75-25

y=50°

Answer:

x = 40°

y = 50°

Answer:

57327392393629324

Step-by-step explanation:

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

The range of whole numbers between which the decimal falls is 0 yards to 1 yard.

The whole number is set to positive integers including 0. i.e 0, 1, 2, 3, and so on.

To find the total amount of fabric Mary Beth needs to make a pillow, we first need to convert 7/12 yards into a decimal. To do this, we can divide the numerator by the denominator:

7/12 = 7 / 12 = 0.5833...

So, Mary Beth needs approximately 0.5833 yards of fabric to make a pillow.

To determine the range of whole numbers between which the decimal falls, we can round up to the next whole number (1 yard) and round down to the previous whole number (0 yards). Therefore, the range of whole numbers between which the decimal falls is 0 yards to 1 yard.

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Answer:

2800 yd^2

Step-by-step explanation:

Faces = (1/2 (28*36)) 4 = 2016

Base = 28*28 = 784

2016 + 784 = 2800

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

Some companies promise higher interest rates in order to attract the attention of investors.

Step-by-step explanation:

The correct option is (d) : Some companies promise higher interest rates in order to attract the attention of investors.

Bonds are investment securities where an investor lends money to a company or a government for a set period of time, in exchange for regular interest payments.

Once the bond reaches maturity, the bond issuer returns the investor’s money.

Interest rate risk is the overall change in interest rate which reduce the value of a bond.

As interest rates rise, bond prices fall, and vice versa.

Interest rate risk is measured by an incomes' security in a long term goal.

Interest rate risk can be reduced through the bond maturities or hedged using interest rate derivatives.

So,  some companies promise higher interest rates in order to attract the attention of investors.

Hence, some companies promise higher interest rates in order to attract the attention of investors. The option (d) is correct.

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Answer:

3,864

Step-by-step explanation:

138/400×11200

=0.345×11200

=3,864

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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To put the number in the scientific notation, you must but it in this form

Where a is between 1 and 10

n is a positive or negative integer

0.001008

we will move the decimal point to be between 1 and zero

So the number will be 1.008

We moved the decimal points from left to right 3 places

n = -3