Please help with this anyone

Answer:

45

Step-by-step explanation:

corresponding angles are congruent

3 and 7 are corresponding

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The number of papers that Ms. Motley will grade in five days would be = 46 papers (approximately).

The number of papers Ms. Motley graded in first day = 9 papers

The number of papers Ms. Motley graded in the second day = 27 papers

The number of papers Ms. Motley graded in the third day = 31 papers

The average number of she graded for the three days is calculated as follows;

9+27+31 = 67/3 = 27.3 papers.

If in 3 days = 27.3 papers

5. days = X papers

Make X papers the subject of formula;

X papers = 5× 27.3/3

= 136.5/3

= 45.5 papers

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Answer:

1. $950

2. 80

Step-by-step explanation:

Answer:

X

Step-by-step explanation:

The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!  

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

For parallel:

gradient is 1/5

\(y = mx + c\)

consider (5, -2):

\( - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3\)

\({ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}\)

For perpendicular:

gradient, m1:

\(m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5\)

gradient = -5

\(y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23\)

\({ \boxed{ \bf{equation :y = - 5x + 23 }}}\)

Answer:

Parallel: \(y=\displaystyle \frac{1}{5}x-3\)

Perpendicular: \(y=-5x+23\)

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

\(y=\displaystyle \frac{1}{5} x-3\)

Given this equation, we can identify that its slope (m) is \(\displaystyle \frac{1}{5}\). Because parallel lines always have the same slope, the slope of the line we're currently solving for would be \(\displaystyle \frac{1}{5}\) as well. Plug this into \(y=mx+b\):

\(y=\displaystyle \frac{1}{5}x+b\)

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

\(-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b\)

Therefore, the y-intercept is -3. Plug this back into \(y=\displaystyle \frac{1}{5}x+b\):

\(y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3\)

Our final equation is \(y=\displaystyle \frac{1}{5}x-3\).

Finding the Perpendicular Line

\(y=\displaystyle \frac{1}{5} x-3\)

Again, the slope of this line is \(\displaystyle \frac{1}{5}\). The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

To find the y-intercept, plug in the point (5,-2) and solve for b:

\(-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b\)

Therefore, the y-intercept is 23. Plug this back into \(y=-5x+b\):

\(y=-5x+23\)

Our final equation is \(y=-5x+23\).

I hope this helps!

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

y = 3.3x

Step-by-step explanation:

for the table we can determine that every hamburger delivery takes five minutes

you can do this by dividing 4 by 0.8 which gets you five

the pizza deliverys speed can be figured out by dividing 50 by 15

this gets you 3.33...

therefore y = 3.3x would be your answer as the pizza delivery is faster

Answer:

56°

Step-by-step explanation:

First, the measure of angle GHE is equal to DFH. This means that you can set 98-6x=63-x, which becomes 5x=35 so x=7. Substitute 7 for x and you'll get DFH =63-7, which is 56.

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

2. c) 1050 mm³

3. c) 8 yards.

Step-by-step explanation:

Given the following data;

Length = 25mm

Width = 7 mm

Height = 6 mm

To find the volume of the rectangular prism;

Volume of rectangular prism = base area * height

First of all, we would determine the base area;

Base area = length * width

Base area = 25 * 7

Base area = 175 mm²

Next, we find the volume;

Volume of rectangular prism = 175 * 6

Volume of rectangular prism = 1050 mm³

Question 2.

Given the following data;

Length = 9 yards

Width = 7.5 yards

Volume = 540 cubic yards

To find the height of the rectangular prism, x;

Volume of rectangular prism = length * width * height

540 = 9 * 7.5 * x

540 = 67.5x

x = 540/67.5

Height, x = 8 yards

The probability of rolling a number less than 5 is 0.667.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event asked. The value is expressed from zero to one. An outcome is a value we can obtain.

As we are given a 6-sided dice therefore,

Total possible outcomes = 6

Favorable outcomes (that is less than 5) = 4                 [that are; 1, 2, 3, 4]

probability = number of favorable outcomes/number of possible outcomes

probability = 4/6

4/6 = 2/3

= 0.6666666666666

To round the value to three decimal places, we need to see if the fourth value after decimal is more than 5 or not. If it is more than 5, preceding digit is increased by 1. therefore, by applying the rule to the value we get

= 0.667                         [rounded to three decimal places as needed]

therefore, the probability of the event given, that is rolling a number less than 5 is 0.667.

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The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + \(\frac{3}{2}\)

We can conclude by answering the provided question that expression As a result, b = 1 is not a valid substitute for b in the equation because it would set the denominator to zero and render the expression undefined.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical association or routine. A real integer, a mutable, or a mix of the two can be used as an equation. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and geometry. They are used in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

The expression is as follows:

\(b^2 / (-7b + 7)\\-7b + 7 = 0\\b = 1\\\)

As a result, b = 1 is not a valid substitute for b in the equation because it would set the denominator to zero and render the expression undefined.

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Answer:

1/2

Step-by-step explanation:

See the steps below:)

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

f is a geometric sequence.

 f(1)=70

f(n)=f(n−1)⋅1.1

​

Step-by-step explanation:

hope this helps

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The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Probability of students having their own vehicle

= 2/10

= 1/5

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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your answer will be A

The function y=3x is growing slower than y=3^x

Step-by-step explanation:

hope it helps you

have a great day!!

Answer:

height = 20 km

Step-by-step explanation:

Area of a trapezoid = (base + base / 2) x height

180 km^2 = (4 + 14 / 2) x height

180 km^2 = (18 / 2) x height

180 km^2 = 9 x height

height = 20 km

(fill in the numbers and work backwards)

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation: