Which statements about the octagon are true? select two options. the length of segment yz is 15.3 cm. the measure of the angle formed by the radius and the apothem is 30°. the length of segment xy can be found by solving for a in 202 – 7.652 = a2. the length of segment wz is 20 cm. the measure of the central angle, ∠zxw, is 45°.

Answer:

3rd option

Step-by-step explanation:

the ratio of b : c is the cos77° , that is

cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.

Answer:

The first graph.

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

See below for answers and explanation

Step-by-step explanation:

A statistical question has variability in collecting the data, and doesn't have one definitive answer:

Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.

Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.

Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.

Hence, Question 3 is a statistical question

Answer:

For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm

For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2

The formula to find the circumference is 2*pi*r

r = radius, which can be determined simply by taking the diameter, and dividing it by 2.

Answer:

See below ~

Step-by-step explanation:

Circle 1 :

Circle 2 :

The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.

Step 1 - Reverse engineer, the figures to get the original prices first.

Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.

Step 3 - Divide the difference by the original price to get the percentage difference

$3.75/$22.47 = 16.68% (Nearest answer is Option C)

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Answer:

A

Step-by-step explanation:

Answer:

A = 81π units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 9² = 81π units²

Answer:

3y-2x=-2

The straight line meets the X-axis when y = 0

Hence, 3(0) - 2(x) = -2

2x = 2

x = 1

Therefore, the coordinates of R is (1,0)

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  [tex]\frac{\sqrt{2} }{2}[/tex]

→ Inverse cosine  [tex]\frac{\sqrt{2} }{2}[/tex]

cos⁻¹ (   [tex]\frac{\sqrt{2} }{2}[/tex]  ) = 0.25π

Answer:

Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  

→ Inverse cosine  

cos⁻¹ (     ) = 0.25π

Step-by-step explanation:

The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

Answer:

1. A

2. i think c not sure

Step-by-step explanation:

The distance the blades travel in 1/5 of a rotation is 32.67 in

Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length

The length of an arc is given by

L = Ф/360° × 2πr where

Since

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πr

L = 72°/360° × 2π × 26 in

L = 1/5 × 52π in

L = 10.4π in

L = 32.67 in

So, the distance the blades travel in 1/5 of a rotation is 32.67 in

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Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14

Step-by-step explanation:

Answer:

R' (- 1, 6 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

R (- 1, - 6 ) → R' (- 1, 6 )

Answer:

the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts  to help you know everything you need in case of future problems.

So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)

so hopefully that is the correct answer and have a great day.

remember first is x and then y

Step-by-step explanation:

Answer:

A = X

B=Z

C=Y

Step-by-step explanation:

As they are congruent, their corresponding angles are also congruent

Answer:

a)

angle a is congruent to angle x

angle b is congruent to angle z

angle c is congruent to angle y

b)

line ab is congruent to line xz

line ac is congruent to line xy

line bc is congruent to line zy

c)

triangle bca is congruent to triangle zyx

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

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The length of BC= 7√2 and BD = 7.

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

Given:

AD= 7, AC= 14

In Δ BDC

cos 45 = B/ H

1/√2 = 7/ BC

BC= 7√2

In Δ BDC

sin 45 = P/H

1/√2= BD / 7√2

BD = 7

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Answer:

12.9 cm

Explanation:

Volume of rectangular box = Length × Width × Height

Given following:

Solve for volume:

Answer:

The first graph

Step-by-step explanation:

-2x is the key here, when you add a subtraction sign to the x-axis it goes right.

+2x would be the graph on the bottom because it is translated to the left.

So the first graph on your picture is the answer.

Answer+Step-by-step explanation:

x² – 2x + 3 = (x - 1)² + 2

Then

The vertex of the parabola is the point (1 , 2)

then

The graph number 1 (on top) is the one which represents f

Answer:

v = 37 yards

Step-by-step explanation:

Volume of a rectangular prism = width × length × height

Given:

Substituting the given values into the formula and solving for v:

⇒ 51615 = v × 93 × 15

⇒ 51615 = 1395 v

⇒ v = 51615 ÷ 1395

⇒ v = 37

Answer:

v = 37 yds

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for v:

51,615 = 93 × v × 15

51,615 = 1395v

51,615/1395 = 1395v/1395

37 = v

Final answer: 37 yds

Hope this helps!

Answer:

[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]

Step-by-step explanation:

Answer:

(- 5, - 3 ) , (3, 5 )

Step-by-step explanation:

x² + y² = 34 → (1)

y = x + 2 → (2)

substitute y = x + 2 into (1)

x² + (x + 2)² = 34

x² + x² + 4x + 4 = 34

2x² + 4x + 4 = 34 ( subtract 34 from both sides )

2x² + 4x - 30 = 0 ( divide through by 2 )

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )

x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )

Answer:

(2, 1 )

Step-by-step explanation:

3y = x + 1 → (1)

2y = x → (2)

substitute 2y = x into (1)

3y = 2y + 1 ( subtract 2y from both sides )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (2)

2(1) = x

2 = x

solution is (2, 1 )

Answer:

{y,x} = {-1,-2}

Step-by-step explanation:

2y = - 2

  [2]    y = - 1

// Plug this in for variable  y  in equation [1]

  [1]    3•(-1) - x = -1

  [1]     - x = 2

// Solve equation [1] for the variable  x

  [1]    x = - 2

// By now we know this much :

   y = -1

   x = -2

{y,x} = {-1,-2}

hope this helps

pls mark brainliest

Answer:

{1, 2, 3, 4}

Step-by-step explanation:

Concepts

The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.

Application

In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.

Solution

Points:

X-Coordinates:

Domain:

Answer:

It's the the 4th one. 6.3.3

Answer:

I don't see your questions.

Egypt. Africa. America

Answer:

Step-by-step explanation:

Givens

4 scones

1 loaf of bread

Total cost = 3.30

Equation

Let the loaf of bread = b

Let the scones = s

Cost = b + 4s

Solution

Substitute the givens into the equation

b + 4s = Cost

90 + 4s = 3.30                  Subtract 90 from both sides

90-90 + 4s = 3.30-90      Combine

4s = 2.40                          Divide by 4

4s/4 = 2.40/4                

s = 0.6 of a pound

Answer: 1 scone = 60 pence.

Answer:

C, ∠DEO ≅ ∠FEO

Step-by-step explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

⇒ ∠DEO ≅ ∠FEO