Select the correct answer from each drop-down menu.Consider right triangle ABC.Asin(A) =cos(A)=4041>>1111.B9C

Answer:

r = 4

Step-by-step explanation:

The general form of the equation is y=mx + b where m is the slope and b is the intercept. The problem tells us that the slope is -3. So we know that y=-3x+b

Let's use the known coordinate (-5,13) to solve for b.

y=-3x+b

13 = -3(-5) + b

13 = 15 + b

b = -2

So now we have the equation:

y=-3x-2

Let's use the other coordinate (-2,r) and solve for the unknown "r" (which is y):

y = -3*-2 - 2

y = 6 - 2

y = 4

So the answer is 4.

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

C = 2πr = 2 x π x 6 = 37.69911

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

D.  If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides.

Step-by-step explanation:

The converse of a statement is formed by switching the hypothesis and the conclusion.

Given statement:

Therefore:

Converse statement:

Answer:

Is this a question? A recipe? Or a challenge?

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

Answer:

B

Step-by-step explanation:

the first person was right i also got it on the test

Answer:$108.94

Step-by-step explanation:

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

The bag is three pounds

The bowl hold 1 pound and her rabbit rats 1 pound

Therefore you can fill it 3 times per bag :))

(3/1=3)

Answer:

Asia can fill the bowl 3 times and it would feed her rabbit 3 days.

John Legend has already paid off his loan before the fifth payment. Therefore, the final payment amount is 0.

To determine the final payment John Legend must make to pay off his 6-month loan, we need to first find out the amount of each payment. We can use the formula for a loan payment:

Payment = (Loan amount × Monthly interest rate) / (1 - (1 + Monthly interest rate\()^{(-Number of payments))\)

Here, the loan amount is 1,500.00, and the monthly interest rate is 12% / 12 = 1% per month. The number of payments is 6 since it's a 6-month loan. Plugging these values into the formula, we get:

Payment = (1,500.00 × 0.01) / (1 - (1 + 0.01\()^{(-6)\)) = 264.85

Now that we know the amount of each payment, we can determine the remaining balance after the fourth payment. Since John's loan is a 6-month loan, he should have made 4 payments at this point. Therefore, the remaining balance can be calculated as:

Remaining balance = Loan amount × (1 + Monthly interest rate)^Number of payments - Payment × ((1 + Monthly interest rate)^Number of payments - 1) / Monthly interest rate

Plugging in the values, we get:

Remaining balance = 1,500.00 × (1 + 0.01\()^4\) - 264.85 × ((1 + 0.01\()^4\) - 1) / 0.01 = 435.85

Now, we can calculate the final payment by subtracting the remaining balance from the amount of the fifth payment:

Final payment = Payment - Remaining balance = 264.85 - 435.85 = -171.00

However, a negative payment amount doesn't make sense. This means that John Legend has already paid off his loan before the fifth payment. Therefore, the final payment amount is 0.

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Answer:

IT IS THE FIRST ONE 100%

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It's a little blurry to see the answers but I can assure you that A is the best answer because C has a y-intercept of 2 while A is higher in which it is placed at 3.

The requried completely factored form of the given polynomial is (q+w)(c+y).

We can group the first two terms and the last two terms together, then factor out the common factors:
= cq+cw+qy+wy
= c(q+w) + y(q+w)
= (q+w)(c+y)

Therefore, the completely factored form of the given polynomial is (q+w)(c+y).

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The area of the figure is 51.4 unit²

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

See attachment for the figure

The figure can be divided into the following shapes:

The area of the trapezoid is:

Area = 0.5 * (Sum of opposite sides) * height

So, we have:

Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5

Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8

The area of the triangle is:

Area = 0.5 * Base * Height

This gives

Triangle = 0.5 * 4.8 * 4 = 9.6

Add the individual areas

Area = 32 + 9.8 + 9.6

Evaluate the sum

Area = 51.4

Hence, the area of the figure is 51.4 unit²

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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The portion that were taking summer classes in 2016 is 31.4%.

From the information, the portion of students taking summer classes decreased 6.3% from 2015 to 2016 and it was stated that 38% of students took summer classes in 2015.

In this case, the portion of the people taking dinner classes will be:

= Original percentage - Reduction in percentage

= 38% - 3.6%

= 31.4%

The percentage is 31.4%

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The domain and range of the function respectively are:

domain : x >= 0

range: w(x) <= 4

What are the domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes.

f(x) = \(x^{1/2}\)

= √x ,   x >= 0

so, domain : x >= 0

\(w(x) = -(3x)^{1/2} - 4\)

= √-3x - 4,

w(x)max = w(0) = 4

range: w(x) <= 4

Hence, the domain and range of the function respectively are:

domain : x >= 0

range: w(x) <= 4

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Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:6 1296720 1.29672 × 106

5 1296700 1.2967 × 106

4 1297000 1.297 × 106

3 1300000 1.30 × 106

2 1300000 1.3 × 106

1 1000000 1 × 106

Step-by-step explanation: