State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Original 15, New:45

the perpendicular or opposite side is approximately 10.42 units long.

How to solve the triangle?

In a right triangle, the side opposite the 90-degree angle is called the hypotenuse, and the side opposite the 15-degree angle is called the opposite side or perpendicular. The third side, adjacent to the 15-degree angle and the right angle, is called the adjacent side.

Using trigonometric functions, we can relate the angles and sides of a right triangle. In this case, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side:

tan(15) = opposite/adjacent

We are given the hypotenuse, which is the hypotenuse, and we can use the Pythagorean theorem to find the adjacent side:

adjacent = sqrt(hypotenuse² - opposite²)

Substituting the value of the hypotenuse and rearranging the above equation we get:

opposite = √(hypotenuse² / (1 + tan(15)²))

Plugging in the values, we get:

opposite = √(12² / (1 + tan(15)²))

= √(144 / (1 + 0.2679))

= ²(108.5)

= 10.42

Therefore, the perpendicular or opposite side is approximately 10.42 units long.

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Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

Step-by-step explanation:

Refer to the notes on long division

The p-value of 4.91541E-15 (or 4.91541 x 10^-15) is considerably beneath the conventional significance level of 0.05 employed in statistical hypothesis testing.

In hypothesis testing, the p-value symbolizes the probability of detecting the test statistic (or an even larger value) under the null hypothesis. A p-value of 0.05 or below often appears statistically relevant, suggesting powerful evidence contrary to the null hypothesis.

Therefore, a p-value of 4.91541E-15 being far less than 0.05 implies very compelling evidence against the null hypothesis.

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To find the circumference of a circle with a diameter of 8m is easy. We need to take into account the formula for it:

Where

• pi is, approximately, equal to 3.1415926535...

• r is the radius of the circle. In this case, we have the diameter of the circle. To find the radius, we need to find half of this diameter to get the radius. Then:

Therefore, the circumference of a circle with a diameter of 8m (and radius of 4m) is (for pi = 3.14159265359)

If we round the answer to two decimal (or the nearest hundredth) the value for the circumference is equal to 25.13 meters (C = 25.13 m).

Using a linear function, the percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by​:

P(x) = 26 + 1.8x.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the linear function that models this situation is given by:

P(x) = 26 + 1.8x.

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Answer: (4.92, -0,91)

Step-by-step explanation:

This should be C on edge 2021

Answer:

C: (4.92, –0.91)

Step-by-step explanation:

Took the quiz

Answer: -9 and up

Step-by-step explanation: An integer is any whole number. An integer can be zero, greater than zero or less than zero. The integers greater than zero are the natural numbers.

Answer:

-7 through -1

Step-by-step explanation:

its more than -8 and less than 0 i had this question in 7th yr

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Answer: Choice B)

\(804.2 \text{ km}^3\)

This value is approximate.

======================================================

Work Shown:

\(V = \pi*r^2*h\\\\V = \pi*8^2*4\\\\V = 256\pi\\\\V \approx 804.248 \text{ km}^3\\\\V \approx 804.2 \text{ km}^3\\\\\)

I used the calculator's stored version of pi to get the most accuracy possible.

The given rational function has a vertical asymptote at x = 12, and the

graph has x and y-intercept at the negative x and y-axis.

Response:

(a) The point (5, -2) is not on the graph

(b) f(x) = -1

(c) If f(x) = 2, x = 30

(d) Domain = (-∞, 12) ∪ (12, ∞)

(e) x-intercept is at x = -6, which is the point (-6, 0)

(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)

(g) A zeros of f, is x = -6

The possible given function is presented as follows;

\(f(x) =\mathbf{\dfrac{x + 6}{x - 12}}\)

(a) When x = -2, we have;

\(f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}\)

Therefore;

The point (\(-\frac{2}{7}\), -2) is on the graph, which gives;

(b) If x = 3, we have;

\(f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1\)

(c)  If f(x) = 2, we have;

\(f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}\)

2·(x - 12) = x + 6

2·x - x = 6 + 2 × 12 = 30

x = 30

(d) The  domain which is the list of possible x-values, which is expressed as follows;

Domain; -∞ < x < 12, and 12 < x < ∞

Which gives;

(e) The x-intercepts are;

\(0 = \mathbf{ \dfrac{x + 6}{x - 12}}\)

(f) The y-intercept

\(At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}\)

(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6

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Answer:

30.769230769231% or 4/13

Step-by-step explanation:

The fraction of people didn’t pass is 4/ 13.

We have,

Total number of people taking the test: 13

Number of people who passed: 9

So, the number of people who didn't pass

Number of people who didn't pass = Total number of people - Number of people who passed

Number of people who didn't pass = 13 - 9

Number of people who didn't pass = 4

So, the fraction of people didn’t pass

= 4/ 13.

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Answer:

Step-by-step explanation:

1) angle 5 and 8

2) perimeter = 20 + 48 +52 = 120 m

3) area = 1/2 * 20 * 48 = 480 m^2

Answer:

x = 7 and the degree of other two angles is 69.

Step-by-step explanation:

As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so

9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )

18x + 54 = 180

18x = 180 - 54

18x = 126

x = 126/18

x = 7

the degree of the other two angle is

= 9*7 + 6

= 69

Hope it helps :)

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Kate and Miley sold 60 boxes of cookies in one hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Cookies sold by Kate in 45 minutes = 27 boxes.

Also,

Cookies sold by Miley in 30 minutes = 12 boxes.

To find the total boxes of cookies sold by girls in one hour,

Use ratio method,

Cookies sold by Kate in 3/4 hours = 27 boxes,

Cookies sold by Kate in 1 hour = 27 x (4/3) = 36

Cookies sold by Miley in 1/2 hours = 12 boxes,

Cookies sold by Miley in 1 hour = 12 x 2 = 24 boxes

Total cookies sold by Kate in Miley in one hour = 36 + 24 = 60

There are 60 boxes of cookies sold by the girls in one hour.

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Answer:

Please attach a photo to this so I can better answer your question

\((5x - y)(2x - 3y) \\ 10 {x}^{2} - 15xy - 2xy + 3 {y}^{2} \\ 10 {x}^{2} - 17xy + 3 {y}^{2} \)

PLEASE GIVE BRAINLIEST

Answer:

(5x-y)(2x-3y)here we simplify it.

Step-by-step explanation:

(5x-y)(2x-3y)

The solution of log(2x + 6) to the power of 8 = 3  is x = -1.8.

Given logarithm:

log(2x+6)^8 = 3

we know that:

log a^n = n log a

8 log(2x+6) = 3

log(2x+6) = 3/8

Converting into exponential form

2x +6 = 10^3/8

2x + 6 = 10^0.375

2x = 2.4 - 6

2x = -3.6

x = -1.8

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Answer:

6.3

Step-by-step explanation:

Answer:

W = 6.3

Step-by-step explanation:

Is means equals and of means multiply

W = 70% *9

W = .70*9

W = 6.3

Answer: Concave polygon

Step-by-step explanation:

Hope this helps!

Answer:

concave polygon

Step-by-step explanation:

the concave polygon has one of it corners facing inside of the shape.

where a convex polygon is like a normal polygon you see more often

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

Either

1. 1 inch of snow every 4 hours

2. Every hour 0.25 inches of snow falls

(I dont' know which kind of unit rate you want)

Answer:

338

Step-by-step explanation:

b * h / 2 = area of a triangle
26 * 26 = 676 / 2 = 338

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

4 8 12 16

3 6 9  12

Step-by-step explanation:

Answer:

a) \(\Delta A \approx 26.389\,cm^{2}\), b) \(r_{A} \approx 0.019\), c) \(\delta = 1.9\,\%\)

Step-by-step explanation:

a) The area of the circular disk is modelled after this expression:

\(A = \pi \cdot r^{2}\)

The total differential is given by the following formula:

\(\Delta A = 2\pi r \cdot \Delta r\)

The maximum absolute error in the calculated area of the disk is:

\(\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)\)

\(\Delta A \approx 26.389\,cm^{2}\)

b) The relative error is given by:

\(r_{A} = \frac{\Delta A}{A}\)

\(r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}\)

\(r_{A} \approx 0.019\)

c) The percentage error is:

\(\delta = r_{A}\times 100\,\%\)

\(\delta = 0.019 \times 100\,\%\)

\(\delta = 1.9\,\%\)

Answer:

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

Find the base area:

Given the height and radius, find the side of the lateral triangular faces:

Each of 6 triangles have sides 10, 10 and 6 units.

Find the area using heron's formula:

Total surface area:

Correct choice is B