the national flag of scotland has a white diagonal on a blue backround Tracy is sewing a scottish flag she knows that the length of one diagonal will be 15 feet and the flag will be 9 feet high to the nearest foot how long will the scottish flag be

The National Flag Of Scotland Has A White Diagonal On A Blue Backround Tracy Is Sewing A Scottish Flag

Answers

Answer 1

The answer is 12

a² = c² - b²

a² = 15² - 9²

a² = 225 - 81

a² = 144

a = √144

a = 12

Answer 2

Answer:

12 ft

Step-by-step explanation:

The diagonal divides the flag into 2 right triangles.

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse (diagonal ) is equal to the sum of the squares on the other 2 sides.

let x be the length, then

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

The length of the flag is 12 ft


Related Questions


What is AB?
a. 6cm
b. 9cm
c. 4cm
d. 2.2cm

Answers

Answer:

AB = 4 cm

Step-by-step explanation:

The tangent and secant are drawn from an external point to the circle.

Then the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant.

let AB = x, then

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However x > 0 ⇒ x = 4 ⇒ b = 4 CM

Writing Equations of Parallel Lines
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
5
4 -3 -2 -1

Answers

Answer:

y= 4x + (-16)

Step-by-step explanation:

The slope of the given lime is m=4

x-intercept of the parallel line: (4,0)

plug that into the equation y= mx+b to find that b= -16

since the slope stays the same for parallel lines, and we just found b, we have the new line equation

The equation of parallel line with x intercept of 4 will be : y= 4x + (-16)

Given,

x intercept : 4

Slope = 4

Now,

x-intercept of the parallel line: (4,0)

As the equation of line to be obtained is parallel . Thus both lines will have same slope .

Slope of parallel line = 4

Substitute the value to find y intercept,

y = mx + b

0 = 4(4)  + b
b = -16

So,

Equation of parallel line: y = 4x + (-16)

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Columbia,South Carolina, is located at 34degrees north latitude. Use the equation to estimate the average annual snowfall for Columbia.

Answers

Final answer:

The question is missing the specific equation needed to estimate average annual snowfall for Columbia, South Carolina at 34 degrees north latitude. Factors like latitude and climate patterns influence snowfall levels, and based on Columbia's location, low snowfall would be expected.

Explanation:

The student is asking about an equation to estimate average annual snowfall for a specific location based on its latitude, in this case, Columbia, South Carolina, which is at 34 degrees north latitude. Unfortunately, the explicit equation needed to estimate the snowfall is not provided in the question or the contextual information. Generally, to estimate snowfall or precipitation levels using latitude, additional climatic data such as elevation, proximity to oceans or large bodies of water, and prevailing wind patterns are also necessary.

However, referring to the geographical regions mentioned, it's noted that certain latitudes often correspond with specific climate patterns. The comparison with other regions suggests that areas farther away from the equator, especially those close to either the Arctic Circle or the Antarctic Circle, experience more extreme temperatures and snowfall. Given the subtropical zone where Columbia, South Carolina, is located, the expected average snowfall would likely be relatively low compared to higher latitudes.

In two or more complete sentences, prove how to find the third term of the expansion of (2x + y)4.

Answers

Answer:

The third term is [tex]24x^2y^2[/tex]

Step-by-step explanation:

The formula used to find the third term of the expansion (2x+y)^4 is called Binomial Theorem

The Binomial Theorem is:

[tex](x+a)^n = \sum_{k=0}^{n} {n \choose k}x^ka^{n-k}\\[/tex]

In the given question x = 2x

a = y

n = 4

We have to find the third term, so value of k will be 2 as k starts from 0

Putting the values in the Binomial Theorem

[tex]= {4 \choose 2}(2x)^2(y)^{4-2}\\= {4 \choose 2}4x^2(y)^{2}[/tex]

[tex]{n \choose k}==\frac{n!}{k!(n-k)!}[/tex]

Putting the values:

[tex]= {4 \choose 2}4x^2(y)^{2}\\=\frac{4!}{2!(4-2)!}4x^2(y)^{2}\\=\frac{4!}{2!2!}4x^2y^{2}\\=\frac{4*3*2*1}{2*2}4x^2y^{2}\\=\frac{24}{4}4x^2y^{2}\\=6*4x^2y^{2}\\=24x^2y^2[/tex]

So, the third term is [tex]24x^2y^2[/tex]

when using rational root theorem, which of the following is a possible root of the polynomial function below F(x)=3x^3-x^2+4x+5
a.-7
b.6
c.-3/5
d.4/3

Answers

Answer:

C is your answer I did this test before.

Step-by-step explanation:

good luck.

C is your answer

We have given that,

when using the rational root theorem, which of the following is a possible root of the polynomial function below

F(x)=3x^3-x^2+4x+5

What is the rational root theorem of plynomial?

The rational root theorem says, a rational zeros of a polynomial is of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

p/q=±a0/a1

from the given polynomial a1=3 and a0=5

p/q=±3/5

+3/5 is not in the option so the correct option -3/2

So the root of the given polynomial is -3/5

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The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board?

Answers

Answer:

=13.73 ft²

Step-by-step explanation:

The diameter of the largest possible circle that can be cut out of  a square is equal to the length of the side of the square.

Therefore the diameter of the circle cut from a square of side 8ft =8ft

r=4ft

Area of the remaining board= Area of square- area of circle

=side²-πr²

=8²-π×4²

=64-16π

=13.73 ft²

The solution to the system of equations shown is (2,0).
3x – 2y = 6
x + 4y = 2
When the first equation is multiplied by 2, the sum of the two
equations is equivalent to 7x = 14

Which system of equations will also have a solution of (2,0)?

Answers

Answer:

D

Step-by-step explanation:

The system of equation will also have a solution of (2,0) are,

x + 4y = 2, 7x = 14.

Given that,

The solution to the system of equations shown is (2,0).

3x – 2y = 6 ,  x + 4y = 2

When the first equation is multiplied by 2, the sum of the two  equations is equivalent to 7x = 14.

We have to determine,

Which system of equations will also have a solution of (2,0).

According to the question,

To determine the system of the equation after applying all the given conditions in the steps, follow all the steps given below.

System of equations;  3x – 2y = 6 ,  x + 4y = 2.

Step1; Multiply the first equation by 2,

                   [tex]2 \times (3x-2y) = 2 \times 6\\\\6x - 4y = 12[/tex]

Step2; Adding equation 1 after multiplying by 2 from equation 2.

                   [tex]6x - 4y + x + 4y = 12+ 2\\\\7x = 14\\\\x = \dfrac{14}{7}\\\\x = 2[/tex]

   

Step3;  When x = 2 the value of y is,

                      [tex]6(2) - 4y = 6\\\\12-4y = 6\\\\-4y = 6-12\\\\-4y == -6\\\\y = \dfrac{-6}{-4}\\\\y = \dfrac{3}{2}[/tex]

Hence, The required system of equation will also have a solution of (2,0) are, x + 4y = 2, 7x = 14.

To know more about the System of Equation click the link given below.

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Perform the indicated operation.

Answers

30 would be the correct one I believe

Answer : The correct answer is, [tex]29\frac{62}{7}[/tex]

Step-by-step explanation :

The given expression is:

[tex]10\frac{3}{7}+19\frac{5}{9}[/tex]

Step 1 : Convert mixed fraction into fraction.

[tex]\frac{73}{7}+\frac{176}{9}[/tex]

Step 2 : Taking L.C.M

[tex]\frac{(9\times 73)+(176\times 7)}{63}[/tex]

[tex]\frac{(657)+(1232)}{63}[/tex]

[tex]\frac{1889}{63}[/tex]

Step 3 : Convert fraction into mixed fraction.

[tex]=29\frac{62}{7}[/tex]

Thus, the correct answer is, [tex]29\frac{62}{7}[/tex]

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 524 cubic unit and the base area is 15 square unit, what is the height of the chest? 124 unit 1124 units 112 unit 1112 units

Answers

Answer: 34.93 units

Step-by-step explanation:

The volume of a rectangular prism can be calculated with this formula:

[tex]V=Bh[/tex]

Where "V" is the volume, "B" is the base area and "h" is the height.

Since we need to find the height, we must solve for "h":

[tex]h=\frac{V}{B}[/tex]

We know that the volume of that wooden chest (which is in the shape of a rectangular prism) is 524 cubic units and the base area is 15 square units. Then:

[tex]V=524units^3\\B=15units^2[/tex]

Subsitituting these values into [tex]h=\frac{B}{V}[/tex], we get that the height of the chest is:

 [tex]h=\frac{524units^3}{15units^2}=34.93units[/tex]

Multiply: 4x^3/4x^2(2^3

Answers

Answer:

The answer is B

Step-by-step explanation:

happy cheating

Answer:

The answer is B

Step-by-step explanation:

And it's not cheating just trying to make it through high school.

Solve using cross multiplication method, ax + by = a^2 ; bx + ay = b^2

Answers

Answer:

x=a²+ab+b²/a+b , y=-ab/a+b

Step-by-step explanation:

The system of the given equation may b written as:

ax+by-a²=0

bx+ay-b²=0

Here,

a1=a,b1=b,c1= -a²

a2=b,b2=a and c2= -b²

By cross multiplication we get

x/b*(-b²)-(-a²)*a = -y/a*(-b²)-(-a²)*b = 1/a*a-b*b

x/-b³+a³ = -y/-ab²+a²b  = 1/a²-b²

Now

x/-b³+a³ = 1/a²-b²

x=a³-b³/a²-b²

x=(a-b)(a²+ab+b²)/(a-b)(a+b)

x=a²+ab+b²/a+b

And,

-y/-ab²+a²b = 1/a²-b²

-y=a²b -ab²/a²-b²

y=ab²-a²b/a²-b²

y=ab(b-a)/(a-b)(a+b)

y= -ab(a-b)/(a-b)(a+b)

y= -ab/a+b

Hence x=a²+ab+b²/a+b , y=-ab/a+b....

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
Explain how to find the arc length exactly, and then approximate it to one decimal place.​

Answers

Answer:

Part 1) The exact value of the arc length is [tex]\frac{25}{6}\pi \ in[/tex]

Part 2) The approximate value of the arc length is [tex]13.1\ in[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=5\ in[/tex]

substitute

[tex]C=2\pi (5)[/tex]

[tex]C=10\pi\ in[/tex]

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

[tex]\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in[/tex]

step 3

Find the approximate value of the arc length

To find the approximate value, assume

[tex]\pi =3.14[/tex]

substitute

[tex]\frac{25}{6}(3.14)=13.1\ in[/tex]

Answer:

13.1 (rounded to tenths)

Step-by-step explanation:

150 ° into radian is 5/6.

150°/1 (π/180) =5π/6.

Then multiply the radian angle by the radius.

5π/6 (5) = 25π/6

25π/6 = 13.1 (rounded to tenths)

athy's customer base is 2/3 residential and 1/3 business . if she has 350 residential customers, how many total customers does she have?

Answers

The answer is 525

2/3 of residential = 350 customers. so you divide 350 by 2. Which is 175. 175•3= 525

Answer:  She has 525 costumers.

Step-by-step explanation:

We know that the costumer base is  [tex]\frac{2}{3}[/tex] residential and  [tex]\frac{1}{3}[/tex] business. This means that:

[tex]\frac{2}{3}=350[/tex] residential customers

Let be "x" the total costumers Athy has and "y" the number of business costumers.

Then "x" must be:

[tex]x=350+y[/tex]

Then, in order to find "y" , we need to multiply the number of residential costumers by  [tex]\frac{1}{3}[/tex] and divide the product by [tex]\frac{2}{3}[/tex] :

[tex]y=\frac{(350)(\frac{1}{3})}{\frac{2}{3} }\\\\y=175[/tex]

Substituting we get that "x" is:

 [tex]x=350+175=525[/tex] costumers

What statement about the scatter plot is true ?

Answers

Answer:

the first one

Step-by-step explanation:

the number of mistakes went from 19 the first week of class to 0 the 20th week

If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?

Answers

Answer:

14

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = 2x² + 3x + x - 2 = 2x² + 4x - 2

To evaluate (f + g)(2) substitute x = 2 into (f + g)(x)

(f + g)(2) = 2(2)² + 4(2) - 2 = 8 + 8 - 2 = 14

Answer:

14

Step-by-step explanation:

First find an algebraic formula for (f + g)(x).  To do this, combine like terms from f and g:  (f + g)(x) = 2x^2 + 4x -2

Next, substitute 2 for x:  (f + g)(2) = 2(2)^2 + 4(2) - 2 = 8 + 8 - 2 = 14

A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?

Answers

Answer:

[tex]\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Step-by-step explanation:

we know that

Te volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=(r/2)\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (r/2)^{2}h[/tex]

[tex]V=\frac{1}{12}\pi r^{2}h[/tex]

Te volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

[tex]\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

what is the factorization of the polynomial below? x^2+6x+8

Answers

Answer:

(x+2) (x+4)

Step-by-step explanation:

x^2+6x+8

What 2 numbers multiply together to give us 8 and add together to give us 6

(2*4) =8

(2+4) = 6

(x+2) (x+4)

Answer:

(x + 4)(x+2)

Step-by-step explanation:

We must multiply 8 and 1, and find two numbers which add to 6:

8 * x(suppose x is 1) = 8

Two numbers which add to 6, but also multiply to 8:

4 and 2

4 * 2 = 8

4 + 2 = 6

Hence, the answer would be (x + 4)(x+2)

Use the given information to determine the exact trigonometric value.

Answers

Answer:   [tex]\bold{a.\quad -\dfrac{2\sqrt{6}}{5}}[/tex]

Step-by-step explanation:

[tex]sin\theta=\dfrac{y}{h}\implies y=-1, h=5\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2 + y^2 = h^2\\x^2 + (-1)^2=5^2\\x^2+1=25\\x^2=24\\x=\sqrt{24}\\x=2\sqrt{6}[/tex]

[tex]\text{Since }\theta\text{ is between }\pi\text{ and }\dfrac{3\pi}{2} \text{ (Quadrant III)},\text{ then x and y are negative.}\\\implies x=-2\sqrt{6}\\\\\\cos\theta = \dfrac{x}{h}\quad =\boxed{-\dfrac{2\sqrt{6}}{5}}[/tex]

can somebody help me


Explain why 1 cm3 = 1000 mm3.

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

Remember that

[tex]1\ cm=10\ mm[/tex]

Elevated to the cube both sides

[tex](1\ cm)^{3}=(10\ mm)^{3}[/tex]

[tex](1)^{3}\ cm^{3}=(10)^{3}\ mm^{3}[/tex]

[tex]1\ cm^{3}=1,000\ mm^{3}[/tex]

Sorry for all the questions

Answers

Jerod will need 19 pages to display all his 112 photos.

If you divide 112 by 12 you get 18.6667.

Since Jerod cannot break his paper into a half for the .6667 space, he would need to use 19 pages in total. All his 18 pages will have 6 photos each but his last 19th will have 1 photo left on it.

Hope this helps!!!

Mark as Brainliest Please!!!

Which of the following lists the angles from smallest to largest?
ORST
STR.
OTRS

Answers

Which of the following lists the angles from smallest to largest?

Answer:

T, R, S

To complete such a customer at your store needs to purchase vertical brackets to attach to the wall the customer wants to show them to be at least 48 inches in 60 in section 248 inspection cost 1295 to 16 section cost 6095 the brackish if you want switch from each end and no more than 24 inches apart what will the total cost of the brackets before tax

Answers

Answer:

67

Step-by-step explanation:

you have to divide

Answer

Step-by-step explanation:$149.50 is the answer

The net of a triangular prism is shown below.
The perimeter of the base of the prism is
units.??

Answers

The prism's base perimeter is 28 units, calculated by summing the lengths of its sides or using the rectangle perimeter formula.

Step 1: Identify the Prism and Its Base

Given a triangular prism, focus on the rectangular base formed by sides S1, S2, S3, and S4.

Step 2: Understand Perimeter Calculation

Recall that the perimeter of any shape is the sum of all its sides.

Step 3: Label the Sides of the Base

Define the sides of the rectangular base:

S1 = 4 + 5

S2 = 5

S3 = 4 + 5

S4 = 5

Step 4: Apply Perimeter Formula

Utilize the formula for the perimeter of a rectangle: P = 2 * (length + width).

For the rectangular base, length = S1 + S3 and width = S2.

Step 5: Calculate Perimeter

Substitute the values into the formula: P = 2 * (9 + 5) = 2 * 14 = 28 units.

Step 6: Verify Using Summation

Confirm the result by adding the individual sides: P = S1 + S2 + S3 + S4 = 9 + 5 + 9 + 5 = 28 units.

What is the value of x?

Answers

Answer:

x = 8

Step-by-step explanat

Answer:

6

Step-by-step explanation:

Find the value for b.
3x^2– X – 10 = 0
Entor the correct answer

Answers

[tex]b=-1[/tex]

.............................

Answer:

X=2, X= -5/3

Step-by-step explanation:

let's solve your equation step-by-step

3x^2-x-10=0

step 1: factor left side of equation.

(3x+5)(x-2)=0

step 2: set factors equal to 0.

3x+5=0  or x-2=0

x= -5/3 or x=2

Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.


x g(x)
1 2
2 1
3 0

x g(x)
1 2
2 5
3 8

x g(x)
1 5
2 8
3 11

x g(x)
1 0
2 3
3 6

Answers

[tex]\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})[/tex]

[tex]\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}[/tex]

The table that represents g(x) = 3⋅f(x) when f(x) = x − 1 is that of Option D;

x g(x)

1 0

2 3

3 6

We are given;

f(x) = x − 1

We want to find; g(x) = 3⋅f(x)

This means that; g(x) = 3(x - 1)

Looking at the options, the input values to be used are x = 1, 2 3.

Thus;

When x = 1; g(x) = 3(1 - 1 )

g(x) = 0

When x = 2; g(x) = 3(2 - 1)

g(x) = 3

When x = 3; g(x) = 3(3 - 1)

g(x) = 6

Looking at the options, only the table in option D is correct.

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Heather has $45.71 in her savings account. She bought six packs of markers to donate to her school. Write an expression for how much money she has in her bank account after the donation.

Answers

Answer: 45.71 - 6x = y

Step-by-step explanation:

45.71 - 6x = y

x= the amount 1 pack of markers cost

y= how much money Heather has after the donation

Answer: The required expression for amount left in her bank after the donation is given by [tex]Amount\ left=45.71-6x[/tex]

Step-by-step explanation:

Since we have given that

Amount of her saving = $45.71

Number of packs of markers to donate to her school = 6

Let the cost of each pack of markers be 'x'.

So, Amount left in her bank account after the donation is given by

[tex]Amount\ left=45.71-6x[/tex]

Hence, the required expression for amount left in her bank after the donation is given by

[tex]45.71-6x[/tex]

A direct variation function contains the points (-8,-6) and (12,9) which equation represents the function

Answers

Answer:

y = 0.75x

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k substitute either of the 2 points into the equation

Using (12, 9 ), then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{9}{12}[/tex] = 0.75, so

y = 0.75x ← equation of variation

Simplify.

(5y + 9) + y

6y + 9
14 + y
14y
15y

Answers

The answer you are looking for is 6y + 9.

In the equations (5y + 9) + y, you'd combine like terms to find the answer. You aren't distributing anything into the parenthesis, and 5y and 9 are not like terms (since the 9 doesn't have a "y" after it). That being said, you simply add "y" and 5y together to get 6y, and add the 9 to the end. Thus getting 6y + 9 as an answer.

I hope this helps!

Answer:

A. 6y+9

Step-by-step explanation:

Distributive property:

    ↓

[tex]A(B+C)=AB+AC[/tex]

First, you remove parenthesis.

5y+9+y

Group like terms:

   ↓

5y+y+9

Then,  you add by similar into elements.

5y+y=6y

6y+9 is the correct answer.

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -y=x+1

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

-y=x+1

Find the y-intercept

For x=0

-y=0+1

y=-1

The y-intercept is the point (0,-1)

Find the x-intercept

For y=0

-0=x+1

x=-1

The x-intercept is the point (-1,0)

Find a third point

For x=1

-y=1+1

-y=2

y=-2

The third point is (1,-2)

Plot the three points to graph the linear equation

see the attached figure

Note Remember that to graph the linear equation is sufficient with two points

Answer:

(2,1) (0,-1) (-6,7)

Step-by-step explanation:

Other Questions
Describe the function of Occipital lobe. Mary Wollstonecraft criticizes past writings on women mainly because ___________.A) they are out-of-dateB) she thinks they are full of historical inaccuraciesC) she finds that they talk down to women and paint them as weakerD) they are written by men who openly hate women Read the sentence.The team raises most of their money at the bake sale.The error in this sentence is a Which angles are corresponding angles?Check all that apply. What is the measure of JL (the minor arc)?A.82B.164C.196D.41 Write the inequality in slope-intercept form. 5x - 2y < -8 show work. Do you guys know the answer What is the value of x? In this figure A:53B:43C:57D:47 Solve for x. 9x + 2 = 5x + 22 The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence Which algebraic rule describes the 180 counter-clockwise rotation about the origin?A)(x, y) (x, y)B)(x, y) (x, y)C)(x, y) (x, y)D)(x, y) (y, x) If you are solving y2+2y=48 by completing the square, the next line would bey2 + 2y - 48 = 0y2 + 2y + 4 = 52y2 + 2y +1 = 49 The domination of Texas politics by Republicans after the Civil War ended (a) with the election of governor Richard Coke in 1873. (b) with the victory of the Populist Party in 1892. (c) in 1888, with violent riots by farmers in Houston, Dallas, and Austin. (d) through a peaceful transfer of power in 1900. Where do homologous chromosomes exchange genetic material through crossing over?A.ChlorophyllB.CentrosomesC.CentromeresD.Chiasma Find the measure of angle B in the following triangle A soccer player hits a ball with a velocity of 22 m/s at an angle of 36.9 above the horizontal. Air resistance can be ignored. a. b. c. (3) What are the x and y components of the balls initial velocity? (3) How high does the ball go? (4) How long (time) does it take to get to the maximum height? Many militant Islamists harbor great anger against Americans and other Westerners. Which of the following contributeD to their resentment? will vote brainliest.A. The United States demonstrated strong support for Israel. B. Some of their leaders adopted Western styles and culture. C. Westerners profited from Middle Eastern natural resources. D. Westerners placed unfair tariffs on their exports. what best explain how green house gases effect the earth A triangular brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the triangular brace, which is adjacent to the given angle measure, is 11 inches in length. Which of the following statements is correct? The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. What is the equation