What are the scale factors

The indicated measures in the given circle are:

a. m<A = 38°;   b. m(CE) = 56°;    c. m<C = 38°;   d. m<D = 39°;  

e. m<ABE = 67°

In order to find the indicated measures in the circle, recall that the measure of an inscribed angle is half of the measure of the intercepted arc based on the inscribed angle theorem.

Thus, we have:

a. m<A = 1/2(m(BD))

Substitute:

m<A = 1/2(76)

m<A = 38°

b. m(CE) = 2(m<CBE))

Substitute:

m(CE) = 2(28)

m(CE) = 56°

c. m<C = 1/2(m(BD))

Substitute:

m<C = 1/2(76)

m<C = 38°

d. m<D = 1/2(m(AC))

Substitute:

m<D = 1/2(78)

m<D = 39°

e. m<ABE = 1/2(m(ACE))

m<ABE = 1/2(m(AC) + m(CE))

Substitute:

m<ABE = 1/2(78 + 56)

m<ABE = 67°

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Answer:

no solution

Step-by-step explanation:

The length of the third side is 12 units

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

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Answer:

y=-x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-6))/(-7-1)

m=(2+6)/-8

m=8/-8

m=-1

y-y1=m(x-x1)

y-(-6)=-1(x-1)

y+6=-x+1

y=-x+1-6

y=-x-5

Answer:

51

Step-by-step explanation:

I'm not sure which is the nth term, but the next term would be 51 because the numbers are going up by nine.

Answer:

x=4

Step-by-step explanation:

SU=TR

x+1=2x-3

-x.    -x

1=x-3

+3. +3

x=4

Answer:

The blank spaces will be 10.6 and 12.75.

Step-by-step explanation:

1. We first have to subtract the first 2 decimal numbers and find out the difference between them.

6.30 - 4.15 = 2.15

2. We should now check the difference between the second and the third decimal numbers.

8.45 - 6.30 = 2.15

So the difference is the same again! So now that we know that information we can now find out the 4th and fifth number.

We find the 4th number by doing this:

8.45 + 2.15 = 10.6

And we find the 5th by doing this:

10.6 + 2.15 = 12.75

In conclusion, the blank spaces will be 10.6 and 12.75.

Answer:

The 2 decimals are 10.6, 12.75

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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Answer:

Option D) 38.2

Solution

1) The square section

The side length of the square is 15m.

You can use Pythagoras's theorem to find the length of the diagonal:

Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2

=> Diagonal = √(450m^2) = 21.21m

2)  The small rectangle section

The sides of this rectangle are 23 - 15 = 8 m and 15 m

Now use the Pythagoras's theorem:

diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>

diagonal = √(289m^2) = 17 m

3) Then the sum of the lengths of the diagonals of the two sections  is 17m + 21.21 m = 38.21

Answer: 38.21 m

Answer:

fh

Step-by-step explanation:

Answer:

46.74ft²

Step-by-step explanation:

A= H(b) b/2 ≈ Sum of your area

Answer: 46.74 square ft (B.)

Step-by-step explanation:

Area of a triangle = (base × height) ÷ 2

A = (11.4 × 8.2) ÷ 2

A = 46.74

I hope this helps!

Answer:

1 5/8 days

Step-by-step explanation:

Days spent on English : 5 3/8 = 27/8 days

Days spent on science: 3 1/4 = 13/4 days

Days spent on math 1 1/2 = 3/2 days

Days spent on English and math = 27/8 + 3/2 = 27/8 + 12/8 = 39/8 days

Difference between English+math and science: 39/8 - 13/4

= 39/8 - 26/8 = 13/8 or 1 5/8 days

Tim's wrapping paper

15 - (4 1/3 + 5 3/8)

= 15 - (13/3 + 43/8)

= 360/24 - (104/24 + 129/24)

= (360 - 233)/24

= 127/24

= 5 7/24 feet

Answer: When a solid can be mapped onto itself by a reflection in a plane, it has reflectional symmetry.

Step-by-step explanation:

number one take the second

let h= 3, k=-2

radius (r) = 11 ,then

(x-h)^2 + ( y-k)^2 = r^2

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

Answer:

134,000-X=Y

Step-by-step explanation:

you'll first have to solve how many categories there are, but since we don't know we'll use X, we already know that there is 134,000 books, but we don't know how many books are reference or other, so we use Y to represent that.

so it's

134,000-X=Y

I hope this helps

Answer:

\(z = -2.1875\)

Step-by-step explanation:

The z score is given by the formula
\(z = \dfrac{x - \mu}{\sigma}\)

where

\(z =\) standard score

\(x\) = data point = 45 for this problem
\(\mu\) = mean = 52 for this problem
\(\sigma =\) standard deviation = 3.2 for this problem

Therefore
\(z = \dfrac{45 - 52}{3.2} = -2.1875\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

  -4

Step-by-step explanation:

(f+g)(1) = f(1) +g(1)

In each case, you need to locate the ordered pair with 1 as the first element.

  (1, f(1)) = (1, -2) . . . . f(1) = -2

  (1, g(1)) = (1, -2) . . . . g(1) = -2

  f(1) +g(1) = (-2) +(-2) = -4

(f+g)(1) = -4

Answer:

slope: -3

Y- intercept: (0,10)

Answer: actual answer is y=3/2x+4

Step-by-step explanation: plug b in the original formula

The equation of the line as of the condition given is y = 3x/2 + 3/2.

Given that,
The equation of the line that passes through the point (-6,-5) and has a slope of 3/2 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope form of the line is given as,
y - y₁ = m (x - x₁)
From the given substitute the point and slope in the above equation,
y + 6 = 3/2 [x + 5]
y = 3x/2 + 15/2 - 6

y = 3x/2 + 3/2

Thus, the equation of the line as of the condition given is y = 3x/2 + 3/2.

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Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

Answer:

When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.

Answer:

n>17

Step-by-step explanation:

Step 1: Flip the equation.

n-3>14

Step 2: Add 3 to both sides.

n-3+3>14+3

The value of the n is more than 17 which is mathematically given in the form of an inequality equation as n > 17.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

14 < n - 3 ​

Add 3 on both sides then we have

17 < n

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Answer:

  17 bars

Step-by-step explanation:

Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.

The error in a rounded number is assumed to be as much as half of the least significant digit of the number.

Peter's load limit may actually be as low as ...

  1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100

Peter's bar weight might be as high as ...

  60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10

If Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...

  (1150 kg) / (65 kg/bar) ≈ 17.7 bars

The greatest number of bars Peter can load safely is 17.