Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°

Hello!

[tex]\large\boxed{b = 10in}[/tex]

Formula for the area of a triangle:

A = 1/2(bh)

We are given the height and area, so we can plug those into the formula to solve for b:

90 = 1/2(18b)

Multiply both sides by 2:

180 = 18b

Divide both sides by 18:

b = 10 inches.

Answer:

10inches is equal to the base

Step-by-step explanation:

formula for finding the area of a triangle is

½bh which is half times base times height

-base is unknown, height is 18 and area is 90.

-½x*18=90

½of 18 is 9

1x*9=90

9*x=9x

therefore:9x=90

we devide both sides by the co-efficient of x which is 9

9 dividing 90 is 10.

therefore x is equal 10

Answer:

$2215

Step-by-step explanation:

The formula for continuous compound interest is P(t) = P₀[tex]e^{rt}[/tex].

$2,400 = P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾

Divide both sides by (e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) to isolate the initial amount:

($2,400) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = (P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾

$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = P₀

Solve:

$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = $2215.48

P₀ = $2215.48

P₀ = $2215

Hope this helps!

Answer:

28

Step-by-step explanation:

Answer:

check image for answers

Answer:

a * c^2 = b

Step-by-step explanation:

you would want to multiply both sides of the equation by c^2

a * c^2 = b

That gets you this formula you can then plug your numbers in

Answer:

The equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Step-by-step explanation:

We need to solve the equation [tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}[/tex]

Solving the equation:

[tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0[/tex]

Now, we would factorise to find value of x

[tex]x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0[/tex]

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Answer:

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Step-by-step explanation:

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

Answer:

-4

Step-by-step explanation:

3x = 2x - 4  Subtract 2x from both sides

x = -4

Answer:

8

Step-by-step explanation:

Answer:

d. $350.00

Step-by-step explanation:

A constant is a number that does not have any variables. The additional cost would depend on the number of persons at attendance so the cost would be $10.00p which is not the constant here. Thus, $350.00 is the only constant in this situation.

Answer:

Step-by-step explanation:

u=㏑ x

x=e^u

v=㏑ y

y=e^v[tex]x^{2} y^5 =(e^u)^{2} (e^v)^5=e^{2u}e^{5v}=e^{2u+5v}[/tex]

Answer:

D. 2u + 5v

Step-by-step explanation:

answer on edge

Answer: 32.63

Step-by-step explanation:

they will have to pay 3200-2156=1044

each student will need to pay

1044/32= 32.625 but this number rounded to the nearest hundredths is 32.63

Answer:

each student would have to pay 32.63

Step-by-step explanation:

3200-2156=1044

1044 divided bye the number of students is 32.625

32.625 rounded to the rearest hundreth is 32.63

Answer:

D is the answer.

Step-by-step explanation:

The equivalent formula for the circumference C is,

⇒ C = πd

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

r is the radius of a circle and d is its diameter,

We know that;

The circumference of circle is,

C = 2πr

Where, 'r' is radius of circle

Now, We know that;

⇒ r = d / 2

Hence, We get;

The equivalent formula for the circumference C is,

⇒ C = 2π × d/2

⇒ C = πd

Thus, The equivalent formula for the circumference C is,

⇒ C = πd

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Answer:

x = 9

Step-by-step explanation:

According to the midsegment theorem,

HG = ½(QS)

Thus:

21 + 2x = ½(2x + 24)

Multiply both sides by 2

2(21 + 2x) = 2x + 24

42 + 4x = 2x + 24

Collect like terms

42 - 24 = 2x - 4x

-18 = -2x

Divide both sides by -2

9 = x

x = 9

Answer:

x = 3 and y = 1

Step-by-step explanation:

The given equations are :

6x + 14y = 32  ...(1)

6x - 14y = 4 .....(2)

Add equation (1) and (2) :

6x + 14y + 6x - 14y = 32 + 4

12x = 36

x = 3

Put the value of x in equation (1)

6(3) + 14y = 32

18 + 14y = 32

14y = 32-18

14y = 14

y = 1

Hence, the value of x is 3 and y is 1.

Answer:

45.5*0.2 which is 9.1

Step-by-step explanation:

Hope this helps plz hit the crown :D

Answer:

[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]

Step-by-step explanation:

We can determine the power of a complex number by the De Moivre's Theorem, which states that for all [tex]z = r\cdot (\cos \theta + i\,\sin\theta)[/tex], where [tex]a, b \in \mathbb{R}[/tex], the power of the complex number is:

[tex]z^{n} = r^{n}\cdot (\cos n\theta + i\,\sin n\theta)[/tex] (1)

Where:

[tex]r[/tex] - Magnitude of the complex number, dimensionless.

[tex]\theta[/tex] - Direction of the complex number.

If we know that [tex]r = 1[/tex], [tex]n = 4[/tex] and [tex]\theta = \frac{2\pi}{3}[/tex], then the fourth power of the complex number is:

[tex]z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right][/tex]

[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]

Answer:

ITS B ON EDGE

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3x - 2x²

3 × -3 = -9

2 × -3 = -6

-9 - (-6²)

-9 - (-36)

-9 + 36

36 - 9

36 - 9 = 27

Answer:

the other persons answer is correct

Step-by-step explanation:

Answer:

x² - 25

Step-by-step explanation:

Given:

(x-5)(x+5)

Find:

Product

Computation:

(x-5)(x+5)

(a+b)(a-b) = a² - b²

(x-5)(x+5) = x² - 5²

(x-5)(x+5) = x² - 25

Alternate:

(x-5)(x+5)

x² + 5x - 5x - 25

x² - 25

Answer:

Step-by-step explanation:

put a point on -5 and put a point on -4  then write the equation on the top to show what you did, name the points then put a point on -9

Answer:

x  ≥  1

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

−x  ≤  −1

Divide each term in −x ≤ −1  by −1 and simplify.

x  ≥  1

Hope this helps! :)

Answer:

The equation would be 9x=y

Step-by-step explanation:

The equation for the counselor and the camper will be y = 9x

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation will be formed as:-

The number of campers, y, that there is for x counselors so equation will be given as.

Y = 9x

For one counselor there are 9 campers and for 2 there will be 18 counselors the graph of the equation is also attached with the answer.

Therefore the equation for the counselor and the camper will be y = 9x

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Answer:

C. [tex] f(-1) = 0 [/tex]

Step-by-step explanation:

The value of [tex] f(-1) [/tex], is the value of [tex] f(x) [/tex] when x = -1.

What we are being asked to find what value of [tex] f(x) [/tex] corresponds with x = -1. Or what output would an input of value of -1 give us.

From the table given, when x = -1, [tex] f(x) = 0 [/tex].

Therefore, the value of [tex] f(-1) = 0 [/tex].

Answer:

C. 3/4 = 9/12

Step-by-step explanation:

The reason 3/4 = 9/12 is a proportion is because this....

You multiply 3*3 and 4*3 to get 9 and 12 = 9/12

Hope this helps!

Answer

The answer is 3/4 = 9/12.

Step-by-step explanation:

Answer: volunteer within each block should live in similar environments to each other when it comes to mosquitos

Step-by-step explanation:

The researchers using a randomized block design should form the blocks by making the;

Volunteers within each block should live in similar environments to each other when it comes to mosquitos.

       A randomized block design is simply a type of experiment where the experimental units are put in groups known as blocks.

Now, we are told that;

- A company is designing an experiment where volunteers will be assigned either the bracelet or bug spray to use at their homes.

- They are doing the experiment because they want to make a bracelet that can repel mosquitoes so people don't have to wear bug spray anymore.

        Now, this implies that the environment they find themselves has a big impact on the outcome of the experiment. This is because different environments could have different exposure conditions to mosquitoes and as a result it will be better for them to be within the same environment for better experimental results.

Read more at; https://brainly.com/question/14727460

y=1/5x because it passes through the origin

Answer:

The fraction [tex]\frac{3}{6}[/tex] is equavilent to [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Any fraction less than [tex]\frac{1}{2}[/tex] Is the answer to your question.

Examples: [tex]\frac{1}{4}[/tex], [tex]\frac{2}{8}[/tex], [tex]\frac{1}{9}[/tex], [tex]\frac{4}{9}[/tex], etc.

There is a wide variety of fractions that could be the answer to this question, like I said before, Any fraction less than [tex]\frac{1}{2}[/tex]. I did not see any answer choices so I did my best to answer this properly for you. Hope this helps you.

Answer:

(6,7)

Step-by-step explanation:

Answer:

the answer is (6,7)

Step-by-step explanation:

This is for the ed students :)!