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LuckyWell [14K]

2 years ago

9

If you place a 33-foot ladder against the top of a building and the bottom of the ladder is 26 feet from the bottom of the build

ing, how tall is the building? Round to the nearest tenth of a foot.

1 answer:

Firdavs [7]2 years ago

5 0

Answer:

20

I hope that helped! :)

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Expand the following expression <br> (x + 2)(x² – 3x - 1)

Cloud [144]

Answer:

$x^{3} - x^{2} - 7x -2$

Step-by-step explanation:

Give me brainllest

4 0

3 years ago

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Which value is NOT a solution of 8x3 – 1 = 0?

Tpy6a [65]

<u><em>Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.</em></u>

Answer:

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Step-by-step explanation:

Considering the equation

$8x^3\:-\:1\:=\:0$

Steps to solve the equation

$8x^3-1=0$

$\mathrm{Add\:}1\mathrm{\:to\:both\:sides}$

$8x^3-1+1=0+1$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8x^3}{8}=\frac{1}{8}$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

As

$\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}$

$x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}$

So,

$x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$

Therefore,

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Keywords: solution, value

Learn more about equation solution from brainly.com/question/1679491

#learnwithBrainly

7 0

3 years ago

In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi

tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

$P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187$

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187

7 0

3 years ago

What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2

Sergio039 [100]

Answer:

The value of the Rational expression when $x=-2$ is: $-7$

Step-by-step explanation:

For this exercise is important to remember:

When a negative number is raised to an even power, the result will be positive.
The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Then, given the following Rational expression:

$\frac{2x^2+5x+9}{x^2+2x-1}$

You need to follow these steps in order to find its value when $x=-2$ :

1. Substitute the given value of "x" ( $x=2$ ) into the expression:

$\frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}$

2. Evaluate and simplify:

$\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7$

5 0

3 years ago

Read 2 more answers

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

AleksandrR [38]

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

5 0

2 years ago

Read 2 more answers