Find the equation of the line with the given properties: passes
through (0,-9) and (-2,-9).

Answer:

The answer would be 6.8 I believe.

Step-by-step explanation:

Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.

Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x

Step 3: Then solve the equation, so you would do

8cos32=x

Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.

I hope this helps and that I did it right!!

Answer:

mind fact sub happy wala birthday quiz frist

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

Answer:

0.010

Step-by-step explanation:

there is one 79 in the dice, and since there are 103 numbers in total, you use

1/103

= 0.00970873786

round to thousandths

= 0.010

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

Answer:

Simplified expression: [tex]\frac{1}{y+8 }[/tex].

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]

= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]

(cancel out 2y³)

=[tex]\frac{1}{y+8 }[/tex]

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.

Answer:

the answer is one!

Step-by-step explanation:

Answer:

answer: 125/24 cm3

volume= 5/3*5/2*5/4 cm3

=125/24 cm3

Answer:

The shelf is not a right triangle

Step-by-step explanation:

Given

[tex]Sides = 14, 8, 8[/tex]

Required

Determine if it is a right triangle

To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.

So, we have:

[tex]14^2 = 8^2 + 8^2[/tex]

Evaluate all squares

[tex]196 = 64 + 64[/tex]

[tex]196 = 128[/tex]

The above is not true because:

[tex]196 \ne 128[/tex]

Hence, the shelf is not a right triangle

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

         [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

        [tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

9514 1404 393

Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

Answer:

423

Step-by-step explanation:

2313

Answer:

Daniel spent $ 19.

Step-by-step explanation:

Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:

Daniel: X

Tracy: 2X - 28 = 10

2X - 28 = 10

2X = 10 + 28

X = 38/2

X = 19

2x19 - 28 = X

38 - 28 = X

10 = X

So, Daniel spent $ 19.

Question:

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = [tex] \frac{8}{4} [/tex]

d = 2

Answer:

The median

Step-by-step explanation:

It uses all the added numbers as one

Answer:

0.32

Step-by-step explanation:

Equation: 16/(2(25)) = ?

Simplify: 16/50

Solve: .32

There are 0.32 ounces of chocolate in each cookie.

There were 0.64 pounds of Choco chips in each cookie.

Unit rate is a rate with 1 as the denominator. A rate is a ratio used to compare different amounts of different quantities that are somehow related.

Given that, Darla made 25 cookies with 16 pounds of Choco chips, we need to find the amount of Choco chips used in each cookie,

So,

16 pounds for 25 cookies

Therefore,

1 cookie = 16/25 pounds

1 cookie = 0.64

Hence, there were 0.64 pounds of Choco chips in each cookie.

Learn more about unit rate, click;

https://brainly.com/question/29781084

#SPJ2

Answer:

Step-by-step explanation:

75cm^2

a+b/2 times h = area

Answer:

f(5) = 6(5-2) = 18

Step-by-step explanation:

hope this help ~~~~~~~~------~~~~~~~~

Answer:

Right square pyramid

Solve for surface area

A=a2+2aa2

4+h2

a Base edge

Enter value

h Height

Answer:

the answer is 4.6

Step-by-step explanation:

the explanation is shown in the following attachment below...

hope this helps...

Answer:

Colleen alone to clear the yard of leaves in 40 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone

To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?

Proof -

Given that the equation is -

[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]

As time can not be negative

So,

we get

c = 40 minutes

∴ we get

Colleen alone to clear the yard of leaves in 40 minutes

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

Answer: n = -1

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

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

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

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

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

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

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

simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

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

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

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

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

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

Answer:

n= -1

Step-by-step explanation:

Step-by-step explanation:

divide both sides by three

[tex]x + 6 = 16 \\ x = 16 - 6 \\ x = 10[/tex]

Answer: 20

Step-by-step explanation:

(3+7)*2 = 20

Answer:

20 square inches

Step-by-step explanation:

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer:

yes

no

yes

no

Step-by-step explanation:

i think its right

Answer:

4.65 + □ = 7.88

Choose... Yes!

□ + 6.42 = 9.45

Choose...No

2.85 + □ = 6.08

Choose...Yes!

□ + 8.49 = 10.72

Choose...No

Step-by-step explanation:

Sorry if I'm wrong.

Answer:

D.

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.