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The diameter of a circle is 14 inches. What is the length of a 45° arc?

Answer:

WyM.They are both the same ma'am or sir.If you put them as a decimal you will get 0.60

Step-by-step explanation:

The ordered pairs that represent functions are:

For a set of ordered pairs to represent a function, the following must be true:

The x value must point to only one y value

In {(-3, 10), (-2, 13), (3, 13), (8, 12)}  and {(-4,11), (5, 10), (-3, 3), (-1, 10)}, the x value point to only one y value

Hence, {(-3, 10), (-2, 13), (3, 13), (8, 12)}  and {(-4,11), (5, 10), (-3, 3), (-1, 10)} are functions

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Answer:

Total surface area = 434 cm²

Total volume = 470 cm³

Step-by-step explanation:

1. The prism can be decomposed into two rectangular prisms which are the bigger rectangular prism and the smaller rectangular prism

✔️Total surface area of the prism = (surface area of the bigger prism - area of the face joined to the smaller prism) + (surface area of the smaller prism - area of the face joined to the bigger prism)

Surface Area of bigger prism = 2(LW + LH + HW)

L = 10 cm

H = 8 cm

W = 9 - 5 = 4 cm

Area of bigger rectangular prism = 2(10*4 + 10*8 + 8*4)

= 304 cm²

Surface area of the smaller prism = 2(LW + LH + HW)

L = 10 cm

H = 3 cm

W = 5 cm

Area of bigger rectangular prism = 2(10*5 + 10*3 + 3*5)

= 190 cm²

Area of the face joining both rectangular prisms = L*W

L = 10 cm

W = 3 cm

Area = 10*3 = 30 cm²

✅total surface area of the prism = (304 - 30) + (190 - 30) = 274 + 160 = 434 cm²

2. Volume of the prism = volume of the bigger rectangular prism + volume of the smaller rectangular prism

✔️Volume of the bigger rectangular prism = L*W*H

L = 10 cm

H = 8 cm

W = 9 - 5 = 4 cm

Volume = 10*8*4 = 320 cm³

✔️✔️Volume of the bigger rectangular prism = L*W*H

L = 10 cm

H = 3 cm

W = 5 cm

Volume = 10*3*5 = 150 cm³

✅Total Volume of the prism = 320 + 150 = 470 cm³

Answer:

  D.  arc RA

Step-by-step explanation:

A minor arc is one that measures less than 180°.

In the circle shown, arc RA is shown as having a measure of 142°. This is less than 180°, so arc RA is a minor arc.

__

Additional comment

A minor arc can be named by its end points. When the major arc with the same end points is being referred to, usually another point on the arc is included in the name. That is, arc AWR and arc RA both have end points R and A. Arc AWR is the major arc with those end points.

52 divided by 150 is,

52 divided by 150 is approximately 0.347.

1.  m∠AOB=180°   Reason: straight line angles are supplementary

2. =m∠AOB         Reason: they form the straight line angle ∠AOB

3. (5x-15°)+90°+2x=180°

4. \(5x+2x-15+90=180\\7x= 180-90+15\\7x=105\\\frac{7x}{7} =\frac{105}{7} \\x=15\)

∴x=15°

Answer:

1. Statement:  m∠AOB = 180°

1. Reason:  Straight Angle

2. Statement: m∠AOF + m∠FOG + m∠GOB = m∠AOB

2. Reason:  Angle Addition Postulate

3. Statement: 5x - 15° + 90° + 2x = 180°

3. Reason: Substitution

4. Statement: x = 15°

4. Reason: Algebra

Step-by-step explanation:

Statement:  m∠AOB = 180°

Reason:  Straight Angle

Straight angle:  An angle that is equal to 180°.

Statement: m∠AOF + m∠FOG + m∠GOB = m∠AOB

Reason:  Angle Addition Postulate

Angle Addition Postulate: When two or more angles are placed side by side such that they share a common vertex (and a common arm between each pair of angles), the sum of those angles will be equal to the total sum of the resulting angle.

Statement: 5x - 15° + 90° + 2x = 180°

Reason: Substitution

Substitute the expression for each angle given in the diagram:

⇒ m∠AOF + m∠FOG + m∠GOB = m∠AOB

⇒ 5x - 15° + 90° + 2x = 180°

Statement: x = 15°

Reason: Algebra

Solve the algebraic equation from part 3:

⇒ 5x - 15° + 90° + 2x = 180°

⇒ 5x + 2x + 90° - 15° = 180°

⇒ 7x + 75° = 180°

⇒ 7x + 75° - 75° = 180° - 75°

⇒ 7x = 105°

⇒ 7x ÷ 7 = 105° ÷ 7

⇒ x = 15°

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Answer:

Step-by-step explanation:

8x^2 + xy - 8xy - y^2

8x^2 - 7xy - y^2

Answer:

slope = \(-\frac{4}{3}\)  

Step-by-step explanation:

Use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\), to find the slope. \(m\) represents the slope. \(x_1\) and \(y_1\) represent the x and y values of one point, and \(x_2\) and \(y_2\) represent the x and y values of another point. So, substitute the x and y values of the points (-3, 4) and (0, 0) into the formula appropriately and solve:

\(m= \frac{(0)-(4)}{(0)-(-3)} \\m = \frac{0-4}{0+3} \\m = \frac{-4}{3}\)

Thus, the slope is \(-\frac{4}{3}\).

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

edg 2020

Answer:

13 cabins

Step-by-step explanation:

Each cabin has 6 campers and there are 78 campers so divide 78 by 6

    13

6 [78]

  -6

   18

  -18

     0

(that's not exactly how long division is supposed to look but this is on computer)

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, 13 cabins are built for the campers.

Answer:

yes with 3 cents left

Step-by-step explanation:

step one, find the important words: 1.99,1,6,7.33 and 8.2

step two, what are we trying to find: If you have $8.25, can you buy another can of beans?

step 3, how did I solve this: since we got one bag of rice (1.99) and the other 6 are black beans all we need to do is subtract 7.33 with 1.99 and we get an answer of 5.34 and now we just need ÷ by 6 so 5.34 ÷ 6 is 0.89 cents and we add that to 7.33 and we get 8.35 so the answer is true .

The problem that can be solved is 2x + 3y = 5 and x + y = 2 & the solution to th system is (1, 1)

From the question, we are to

Create a problem that can be modeled and solved using systems of linear equations

A problem that can be solved using graph is as follows:

2x + 3y = 5

x + y = 2

Next, we plot and attach the graph

The point of intersection on the graph is the solution

This means that the solution is (1. 1)

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Answer:

67.715

Step-by-step explanation:

(68 - 95 - 99.7%)

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

95​% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).

(0.4144 , 2.3256)

Step-by-step explanation:

Given sample size 'n' =n₁ = n₂ = 40

The mean of the first sample  (x₁⁻) = 5.69 hours

The standard deviation of the first sample (S₁)= 2.42 hours

The mean of the second sample( x₂⁻) = 4.32 hours

The standard deviation of the second sample (S₂)= 1.83 hours

95% of confidence intervals for (μ₁ - μ₂)are determined by

\((X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))\)

where

The standard error of the difference between two means

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{S^{2} _{1} }{n_{1} }+\frac{S^{2} _{2} }{n_{2} } }\)

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{(2.42)^2 }{40 }+\frac{(1.83)^2 }{40 } }\)

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{0.2301325} = 0.47972\)

Degrees of freedom γ = n₁ +n₂ -2 = 40+40 -2 =78

\(t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}\)

t₀.₀₂₅ = 1.992

95% of confidence intervals for (μ₁ - μ₂)are determined by

\((X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))\)

(5.69 -4.32)- 1.992(0.47972)), (5.69-4.32)+1.992(0.47972))

(1.37 -0.9556 , 1.37+0.9556)

(0.4144 , 2.3256)

Conclusion:-

95​% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).

(0.4144 , 2.3256)

Following are the calculation to the confidence interval:

Given:

\(\bar{x_1}= 5.69\\\\\bar{x_2}= 4.32\\\\s_1=2.42\\\\s_2=1.83\\\\n_1=40\\\\n_2=40\\\\\)

To find:

confidence interval=?

Solution:

\(\to a=0.1\\\\ \to Z(0.05)=1.645\)            (from standard normal table)

Calculating the confidence interval when its value is \(95\%\):

\(\to (\bar{x_1}-\bar{x_2}) \pm Z \times \sqrt{(\frac{s^2_{1}}{n_1}+ \frac{s^2_{2}}{n_2})}\)  

\(\to (5.69-4.32)\pm 1.645 \times \sqrt{(\frac{2.42^2}{40}+\frac{1.83^2}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564}{40}+\frac{3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564+3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{9.2053}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{0.2301325}\\\\\to (1.37)\pm 1.645 \times 0.4797212 \\\\\to (1.37)\pm 0.789\\\\\to (2.159, 0.581 )\)

Therefore, the final answer is "(2.159 and 0.581)".

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In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

The company bought 9 computers and 11 printers.

Step-by-step explanation:

Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:

20 x 550 + 0 x 350 = 11,000

15 x 550 + 5 x 350 = 10,000

10 x 550 + 10 x 350 = 9,000

9 x 559 + 11 x 350 = 8,800

Thus, the company bought 9 computers and 11 printers.

Answer:

sa tingin ko it is a letter c

Step-by-step explanation:

sana makatulong sayo

Answer:

x = 2213

Step-by-step explanation:

We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.

10x ÷ 10 = x

22130 ÷ 10 = 2213

Therefore, x = 2213

NOTE:

I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.

To solve this, you have to take the root of both sides and solve.

Exact Form:

x  =  10 √ 22130 ,  − 10 √ 22130  

Decimal Form:  x = 2.71955684 … ,  − 2.71955684 …

Answer:

x = 2213

Step-by-step explanation:

22130/10 = 2213

The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

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Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A. x=8 B. x=25

Step-by-step explanation:

for a.

70/50=1.4

60*1.4=11x-4

84=11x-4

88=11x

x=8

for b.

72/27=2/3

64/(2/3)=-4+4x

96=-4+4x

100=4x

x=25

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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