A 9 ft. ladder leans against the side of a house. The bottom of the ladder is 6 ft. from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

Answer:

Length of AC = 12units.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

[tex]\sf\large{\star To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Base of the triangle.

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Pythagoras Theorem:

[tex]\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}[/tex]

So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,

[tex]\rightarrow[/tex][tex]\sf{10^2\:=\: 8^2 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100\:=\: 64 + Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{100-64\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{36\:=\: Base^2}[/tex]

[tex]\rightarrow[/tex][tex]\sf{\sqrt{36}\:=\: Base}[/tex]

[tex]\rightarrow[/tex][tex]\sf{6\:=\: Base}[/tex]

Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.

Therefore, length of AC of the given triangle = [tex]\sf\purple{12units.}[/tex]

Answer:

  y = 15/x

Step-by-step explanation:

An inverse proportion has the equation ...

  y = k(1/x) . . . . k is the constant of proportionality

__

Solving for k, we find ...

  k = xy

The coordinates of the given point can be used to find k:

  k = (3)(5) = 15

Then the equation of the graph is ...

  y = 15/x

Answer:

f(1) = 3

Step-by-step explanation:

f(t) = t² - 1t + 3

we want to find f(1)

all we have to do is replace the t's with 1 and evaluate

f(1) = (1)² - 1(1) + 3

evaluate exponent 1² = 1

f(1) = 1 - 1(1) + 3

multiply

f(1) = 1 - 1 + 3

subtract

f(1) = 3

Answer:

The slope of the line is m = 2.

The y-intercept is (0,7).

The equation of the line in the slope-intercept form is y = 2 x - 7.

Step-by-step explanation:

The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]

is given by  [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]

Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].

Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).

[tex]b=5-(2)*(6)=-7[/tex]

Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:

[tex]y=2x-7[/tex]

Answer:

Step-by-step explanation:

The slope formula is used to find the equation of the line that passes through the points in this problem.

SLOPE FORMULA:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]

Use the slope-intercept form.

SLOPE-INTERCEPT FORM:

[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]

[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]

[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30

Step-by-step explanation:

umm i think

[tex]\frac{2}{1}[/tex]Answer: A.

Step-by-step explanation:

The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.

If the triangle has all sides of different lengths, then the triangle is considered scalene, which means it can be classified.

There isn't enough info to know if the triangle is acute, right, or obtuse.

[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]

Answer:

(x - 10)(x + 7).

Step-by-step explanation:

This is a quadratic expression  and the factors are of the form (x + a)(x + b).

We have x^2 - 3x - 70.

- to find the values of a and b  in this expression we need 2 numbers whose product is -70 and whose sum is -3.

They are -10 and +7 , so the factors are:

(x - 10)(x + 7).

Answer:

$1,679.62

Step-by-step explanation:

129.60*12=$1,555.20

You then do 1,555.2*.08, and get:124.416

You then add the 2 together to find the amount needed to be paid back.

The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

Let J represent the event that junior is selected

Let S represent the event that senior is selected

Hence:

Probability when Jamie is selected as the last person

P(JSJ)  or P(SJJ)

P(JSJ) =6/14×8/13×5/12

P(JSJ) =10/91

P(SJJ) =8/14×6/13×5/12

P(SJJ) =10/91

P(Jamie selected)=P(JSJ) + P(SJJ)

P(Jamie selected)=10/91+10/91

P(Jamie selected)=20/91

P(Jamie selected)=0.2198×100

P(Jamie selected)=21.98%

P(Jamie selected)=22% (Approximately)

Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

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Answer:

Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%

Step-by-step explanation:

trust me

A percentage is a way to describe a part of a whole. The new wage per hour to the nearest cent if it is increased by 9% will be $18.26.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the Medical assistants are to receive a 9% increase in wages per hour. While the current wage of Medical assistance is $16.75 an hour.

Therefore, the new wage per hour to the nearest cent will be,

New wage = Old wage + 9% of old wage

                  = $16.75 + 0.09($16.75)

                  = $18.26

Hence, the new wage per hour to the nearest cent will be $18.26.

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Answer:

9x3 + 3x2 + 35

x2

Step-by-step explanation:

I hope this helped u

Answer:

MRP: 612.5

MRC: 350

Step-by-step explanation:

MRP: 1750 x 0.35/1= 612.5

MRC: cost to rent each vehicle per day

Answer:

2000 times

Step-by-step explanation:

I'm assuming you mean 4*10^3 and 8*10^6.

8*10^6/(4*10^3)

=(8/4)*(10^6/10^3)

=2*(10^3)

=2*1000

=2000 times

Answer:

D;the last answer

Step-by-step explanation:

The more negative a fraction or decimal, the lower that actual value.

Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^

Answer: -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

Step-by-step explanation:

    I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.

0.75 -> 0.75

-1 -> -1

[tex]\frac{1}{2}[/tex] -> 0.5

-1 [tex]\frac{1}{5}[/tex] -> -1.2

0.25 -> 0.25

    First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.

-1.2, -1, 0.25, 0.5, 0.75

   Putting the numbers into what they were originally given as gives us this:

-1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

    The answer is the last option, -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75.

z = 7, z = -7

z² = 49

Take the square root of both sides to find what z equals

z = 7

Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.

7, -7

hope helpful ~

Answer:

B. the spring has a length of 1 inch when no force is applied

Step-by-step explanation:

Answer:

the last guy who answered is correct

Step-by-step explanation:

sorry I needed to answer for more answers I can get

Answer:

y = x^3 - 3x^2 - 22x +24

Step-by-step explanation:

I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.

Hope this helps :)

Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)

I realized I can't post the link, but that's the name of it

Answer:

slope: 5

y-intercept: -4

Answer:5:15

Step-by-step explanation:

2:30+2 hour=4:30

4:30+45=5:15

Answer:

$6.74

$242.78

Step-by-step explanation:

A

$53.95 ÷ 8 = $6.74

B

3 × 12 = 36

36 ÷ 8 = 4.5

4.5 × 53.95 = 242.775

$242.78

129m^2

A= bxh/2

Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2

A= 13x5

= 65

A= bxh

= 8x8

=64

64 + 65= 129

Hope this helps!

What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.

Statistical question is that type of question which have more than one possible answers.

The answer of statistical question is the collection of various  points of data.

The answer of statistical question depends on variety and situations.

The answer of statistical question may be range . Answer of statistical question are more than one.

What is the average weight of the adult elephants in the exhibit?

This is the correct statistical question.

Learn more about statistical question;

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Answer:

64 cubes

Step-by-step explanation:

The volume of wooden box,

→ x = l × b × h

→ x = 32 × 16 × 8

→ [x = 4096 cm³]

The volume of a cube,

→ y = side³

→ y = 4 × 4 × 4

→ [ y = 64 cm³]

Now we have to,

find how many cubes can be packed inside the wooden box.

→ x ÷ y

→ 4096 ÷ 64

→ 64 cubes

Hence, the solution is 64 cubes.