The triangles below are similar. 3x+3

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer:

X>Dy+c

Step-by-step explanation:

I did this question before

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Answer:

100 - 3.1 = 96.9

142000 - 96.9 = 1410903.1

======================================================

Work Shown:

Find the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%

The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%

We have to determine the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is

B-C = 7.3-5.6

B-C= 1.70%, or you could say

C-A = 5.6 - 3.9

C-A= 1.70%

Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.

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Answer:

a rectangle

Step-by-step explanation:

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]

Probability of 3 is half of 1/5.

[tex]P(X = 3) = \frac{1}{10}[/tex]

Probability of 5 is 1/5. So

[tex]P(X = 5) = \frac{1}{5}[/tex]

Probability of drawing an odd numbered ticket:

[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.

Complete Question

A manufacturer of banana chips would like to know whether its bag filing machine works correctly at the 445 gram setting is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed State the null and alternative hypotheses for the above scenario

Answer:

[tex]H_o=\mu=445g[/tex]

[tex]H_a=\mu<445g[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]M=445g[/tex]

Significance level [tex]\alpha=0.01[/tex]

Generally the Null and Alternative Hypothesis is

[tex]H_o=\mu=445g[/tex]

i.e  The bags are not under filled

[tex]H_a=\mu<445g[/tex]

i.e The bags are under filled

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Answer: here’s your answer

Step-by-step explanation:

pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

9514 1404 393

Answer:

  coterminal angle: 98°

  reference angle: 82°

Step-by-step explanation:

Adding 360° × 3 = 1080° brings the angle into the range 0-360°.

The coterminal angle is -982 +1080° = 98°

This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer:

B

Step-by-step explanation:

[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]

Answer:

C) 2/3

Step-by-step explanation:

The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.

Hope this helped :)

Answer:

A.   1/3

Step-by-step explanation:

Chance of red on one marble

2/3

Chance of red on second marble

1/2

Chance both red

2/3 * 1/2 = 1/3

Answer:

1 11/12

Step-by-step explanation:

convert to common denominators.

1 1/6 = 7/6 = 14/12

3/4 = 9/12

14+9=23

23/12

1 11/12

---

hope it helps

is (0,0) a solution to what system?

Answer:

Slope = 1/4

Step-by-step explanation:

[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

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Answer:

i think false

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator

= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]

= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]

= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]

= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]

= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]

= - [tex]\frac{3}{9}[/tex]

= - [tex]\frac{1}{3}[/tex]