What is the radius of tye circle

9514 1404 393

Answer:

  AD = 15

Step-by-step explanation:

The products of the segment lengths are the same.

  (x -2)(x +7) = 4(2x -1)

  x^2 +5x -14 = 8x -4

  x^2 -3x -10 = 0

  (x -5)(x +2) = 0

The positive solution is x=5.

Chord AD is ...

  (x -2) +(x +7) = 2x +5 = 2(5) +5 = 15

Chord AD is 15 units long.

Answer:

Corresponding angles postulate

Answer:

definition of parrallel lines

Step-by-step explanation:

oh sorry. I understood it as parrallel

Answer:

A'(0,2), B(1, -2). C'(3,2)

Step-by-step explanation:

Given

[tex]A = (-4,-1)[/tex]

[tex]B = (-3,-5)[/tex]

[tex]C =(-1,-1)[/tex]

Solving (a); Graph and Label ABC

See attachment for graph

Solving (b): Graph and Label A'B'C'

Translation:

4 units right

3 units up

4 units right

The rule is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]A = (-4,-1)[/tex] ==> [tex](-4+4,-1) =(0,-1)[/tex]

[tex]B = (-3,-5)[/tex] ==> [tex](-3+4,-5) =(1,-5)[/tex]

[tex]C =(-1,-1)[/tex] ==> [tex](-1+4,-1) =(3,-1)[/tex]

3 units up

The rule is:

[tex](x,y) \to (x,y+3)[/tex]

So, we have:

[tex](0,-1)[/tex] ==> [tex]A' =(0,-1+3) = (0,2)[/tex]

[tex](1,-5)[/tex] ==> [tex]B' =(1,-5+3) = (1,-2)[/tex]

[tex](3,-1)[/tex] ==> [tex]C' =(3,-1+3) = (3,2)[/tex]

The coordinates of A' B' and C' are:

A'(0,2), B(1, -2). C'(3,2)

See attachment for graph

Answer:

30 foot by 20 foot

Step-by-step explanation:

1 inch = 10 inch

2 foot = d foot

Cross products: 1xd=2x10

d=20foot

1 inch = 15 inch

2 foot = d foot

Cross products: 1xd=2x15

d=30foot

Answer:

$2,800

Step-by-step explanation:

The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.

I = (2000)(0.05)(8)

I = $800

Then we add that to the principal to get $2,800

---------------------------------

Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?

I = PRT

400 = P(0.06)(3)

400 = 0.18P

P = $2,222. 22

----------------------------------------

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?

I = PRT

I = (275)(0.08)(12)

I = $264

------------------------------------

Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???

I = PRT

I = (6000)(0.05)(T)

Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.

Answer:

x=3

Step-by-step explanation:

Divide both sides by 3

3(x+2)/3 = 15/3

You get x+2=5, subtract 2 from each side

x+2(-2)=5(-2)

x=3

Answer:

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex], option D

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

From a random sample of 50 students, she found that 32 students read at least 1 book last month.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex]

So the correct answer is given by option D.

Sample space َََ َ َ َ َ َ َ َ َ َ

Answer:

C- are moving close together very quickly and then very far apart suddenly

Answer:

18 sq ft

Step-by-step explanation: all you have to do is add the sides. 5+5=10

4+4= 8

10+8=18

This makes the most sense with the answers givin

Answer/Step-by-step explanation:

The triangle given is a right triangle

Reference angle = angle E

Thus:

The side that is opposite to angle E is side DF = e

The side that is adjacent to angle E is side EF = d

The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f

Answer:

Step-by-step explanation:

..

Answer:

x=-3

Step-by-step explanation:

-15x=45

x=-45/15

x=-3

Answer:

okay x=-3

Step-by-step explanation:

-15x=45

-15/-15=45/15

x=-3

Answer:

Step-by-step explanation:

If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line.  As x increases, y decreases.

Answer: it’s A. I took the test.

Step-by-step explanation:

the Beatles are better than the stones and that is a fact

Answer:

Test statistic  |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

Step(i):-

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs  were burglarized

First proportion

              [tex]p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925[/tex]

Given that a report on the nightly news broadcast stated that  20 out of 208 households without pet dogs were burglarized

Second proportion

              [tex]p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961[/tex]

where

           [tex]P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }[/tex]

         P = 0.09486

       Q = 1 - P = 1 - 0.09486 = 0.90514

Step(ii):-

Test statistic

        [tex]Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

      [tex]Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }[/tex]

     Z =    -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

Answer: x=6

Step-by-step explanation:

−

5

(

−

2

+

1

0

)

=

1

0

−

5

(

−

2

x

+

10

)

=

10

−5(−2x+10)=10

Solve

1

Distribute

−

5

(

−

2

+

1

0

)

=

1

0

−

5

(

−

2

x

+

10

)

=

10

−5(−2x+10)=10

1

0

−

5

0

=

1

0

10

x

−

50

=

10

10x−50=10

2

Add

5

0

50

50

to both sides of the equation

3

Simplify

90 minus 63 equals 37

Answer:

27 degrees

Step-by-step explanation:

x together with 63deg form a right angle (90deg)

x + 63 = 90

x = 90 - 63

x = 27

Answer:

High blood pressure

Step-by-step explanation:

Possible DEATH

Answer:

High blood pressure

Step-by-step explanation:

High blood pressure is dangerous

Answer:

a= $54764.26

Step-by-step explanation:

r=R/100

r=4.5/100

r=0.045 rate per year

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.045/4)(4)(38)

A = 10,000.00(1 + 0.01125)(152)

A = $54,764.26

Answer:

3) not equivalent

4) equivalent multiply by 2

5) equivalent multiply by 2

Answer:

no it's not right angled

Step-by-step explanation:

thats because the left hand side is not equal to the right hand side

Answer:

You were on the right track: basically if a²+b²=c² is true , it's a right triangle...

a²+b²=c²

11²+10²=12²?

121+100=144?

221=144?

221≠144

Since they're not equal, the triangle isn't a right triangle.

Answer: S= 14 cm

Step-by-step explanation:

Answer: 14

Step-by-step explanation: Khan Academy

Answer:

use the app photomath its free. and shows you all the steps

Step-by-step explanation: