Determine the value of x using a trigonometric
ratio.

Work Shown:

x = unknown number

4x = four times the unknown number

-8+4x = sum of -8 and the previous expression

-8+4x is the same as 4x+(-8) or 4x-8

The point at which three or more lines intersect is the point of concurrency.

The point were three lines meet or intersect is a point of concurrency.

In other words, a point of concurrency is where three or more lines intersect in one place.

This point of concurrency is a single point shared by three or more lines.

Perpendicular bisectors, and altitudes are concurrent in every triangle.

learn more on intersection here: https://brainly.com/question/14293086

#SPJ1

Answer:

concurrency

Step-by-step explanation:

Look above for more

1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500

Answer:

500

Step-by-step explanation:

rearrange the sum as

(99 + 1) + (98 + 2) + (97 + 3) + (96 + 4) + (95 + 5)

= 100 + 100 + 100 + 1000 + 100

= 5 × 100

= 500

The rise from the ground by the skateboard is 5.5 inches

The length of the skateboard is given as:

Length (l) = 18 inches

The angle of elevation (x) is

x = 17∘

Represent the height with h.

The value of h is calculated using the following tangent ratio:

tan(x) = h/l

Make h the subject

h = l * tan(x)

Substitute known values

h = 18 * tan(17)

Evaluate

h = 5.5

Hence, the rise from the ground by the skateboard is 5.5 inches

Read more about elevation at:

https://brainly.com/question/19594654

#SPJ1

Answer: 5.3

Step-by-step explanation:

S​OH-CAH-TOAsin 17=oppositehypotenuse=x18sin 17=hypotenuseopposite​=18x​sin 17=sin 17=  x1818x​sin 171=1sin 17​=  x1818x​18 sin 17=18 sin 17=  xxx=5.262690...≈5.3x=5.262690...≈5.3

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR  ≅  TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

For more information about congruent visit;

https://brainly.com/question/13367096

#SPJ1

Answer:

6x-5

Step-by-step explanation:

We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.

The order the investments from least to greatest return,

tax bracket is 22% and tax-free yield is 3%  <  tax bracket is 35% and tax-free yield is 3%  <  tax bracket is 24% and tax-free yield is 4%  <  tax bracket is 12% and tax-free yield is 5%  <  tax bracket is 12% and tax-free yield is 5%

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know the value of a fraction gets larger when the numerator becomes larger and the denominator gets smaller.

Given, Each tile shows an investor’s tax bracket along with the tax-free yield of a bond the investor purchased.

(tax-free yield)/(100 - tax bracket).

Now, tax bracket is 24% and tax-free yield is 5%.

= 5/100 - 24.

= 5/76.

= 0.0658.

Similarly,

tax bracket is 12% and tax-free yield is 5%

= 0.0641.

tax bracket is 22% and tax-free yield is 3%

= 0.0384.

tax bracket is 24% and tax-free yield is 4%

= 0.0526.

tax bracket is 35% and tax-free yield is 3%

= 0.0461.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

36

Step-by-step explanation:

If x = 2 and y = -3...

xy^2=

(2)(-3)^2 =

-6^2 =

36

XY times 2=

(-6)(2) =

-12

Answer:

18

Step-by-step explanation:

First you must fill input the values into their variable counterparts:

xy^2 turns into: 2 * -3 ^2

Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.

-3 ^2 = 9, so 2 x 9 = 18

xy^2 = 18 if x =2 and y = -3

The degree of a polynomial is the highest exponent of the algebraic expression.

[tex]6 {x}^{2} \: + \: {x}^{ \boxed{ \bold{9}}} \: + \: 5 {x}^{7} \: + \: 20 {x}^{6} [/tex]

Answer:

3.94

Step-by-step explanation:

3.944     rounded to nearest hundredth  = 3.94    becuase the thousandth digit is <5  you do not change the hundredth

Graph is in attached image.

Answer:

32m²

Step-by-step explanation:

r=

[tex] \frac{c}{2\pi } [/tex]

r=20/(2×3.14)= 3.18m

A=pi r² = 3.14x3. 18² = 32m²

Answer:

x=9

y=4

z=4

Step-by-step explanation:

9x-13=7x+5

9x-7x=5+13

2x=18

x=18/2=9

3y=12

y=12/3=4

11z-41=5z-17

11z-5z=-17+41

6z=24

z=24/6=4

Answer:

would need to see the graph

Step-by-step explanation:

see answer advice

Answer: 450

Step-by-step explanation:

The volume is (1/2)(5)(12)(15)=450.

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

[tex] \frac{1}{x - 5} [/tex]

Set the expression in the denominator equal to 0, because you can't divide by 0.

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

So the vertical asymptote is x=5.

Disclaimer if you see something like this

[tex] \frac{(x - 5)(x + 3)}{(x - 5)} [/tex]

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

[tex] \frac{1}{x} [/tex]

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

[tex]a \times {x}^{0} [/tex]

For example,

[tex]1 = 1 \times {x}^{0} [/tex]

[tex]2 = 2 \times {x}^{0} [/tex]

And so on,

and

[tex]x = {x}^{1} [/tex]

So our equation is basically

[tex] \frac{1 \times {x}^{0} }{ {x}^{1} } [/tex]

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

[tex] \frac{3 {x}^{2} }{ {x}^{2} + 1} [/tex]

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

[tex]x = \frac{3}{1} [/tex]

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

The option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a graph of a polynomial.

From the graph we can clearly see there is three x-intercept where the value of a polynomial function becomes zero.

The minimum value of function is less than 40

At x = 3, f(3) = 0

At x = -2, f(-2) = 0

At x = -4, f(-4) = 0

Thu graph of a function will be:

[tex]\rm y\ =\ \left(x+2\right)\left(x-3\right)^{2}\left(x+4\right)[/tex]

Thus, the option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1

Answer:

C

Step-by-step explanation:

Formula for the volume of a cone :

Volume (cone) = 1/3πr²h

===========================================================

Given :

⇒ r = 4 units

⇒ h = 21 units

============================================================

Solving :

⇒ Volume (cone) = 1/3 × π × (4)² × 21

⇒ Volume (cone) = 16 × 7 × π

⇒ Volume (cone) = 112π units²

Answer:

[tex]\sf C. \quad 112 \pi \:units^2[/tex]

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting the given values into the formula:

[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]

[tex]\implies \sf Volume=112 \pi \:units^2[/tex]

They spend about three hours a day online

Answer:

6+8x

Step-by-step explanation:

Answer:

Its Option C.

Step-by-step explanation:

I took this quiz and got this correct, atleast I think...??

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8)

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8).

When we are talking about population parameters, we also have to look at the way of estimating the population, we have to add two extremes and divide by 2.

Thus, the correct one is;

(0.5 + 0.8)/2 = 0.65

Read more about Population parameter at; https://brainly.com/question/2292917

#SPJ1

We will use graphical way to solve these

Graph both

The solutions are

None of the above

Answer:

Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.

Step-by-step explanation:

Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.

Pattern A.



Pattern B.



Pattern C.



As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase

The following needs to be purchased in addition to renter's insurance;

Renter’s insurance is a policy which covers the loss of people renting or subletting a property. It helps to protect against loss of properties within the insured apartment.

Here are some problems covered by renters insurance:

Learn more about insurance:

https://brainly.com/question/4953989

#SPJ1

Answer:

22 3/4

Step-by-step explanation:

divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75

then convert it back into a fraction which is 22 3/4

Answer:

20

Step-by-step explanation:

Answer:

the one above me is WRONG, its 40 i swear i just did the unit test

Step-by-step explanation: