Find the length of side x in simplest radical form with a rational denominator

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

We solve that above question using the trigonometric function of Tangent

Tan theta = Opposite/Adjacent

Theta = 45°

Opposite = 6

Adjacent = x

tan 45° = 6/x

tan 45 in rational form = 1

1 = 6/x

Cross Multiply

x = 6


Related Questions

write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]

Answers

Hi. Here it is!
I hope this help!

Tell whether the angle measures can be those of a triangle.

20°, 160°, 20°

Yes, can be those of a triangle.
No, cannot be those of a triangle.

Answers

No.

The 3 angles of a triangle need to equal 180 degrees.

The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.

Which of the following describes the root of the following function? f[x] = -x2 3x + 1 Select one a. Exactly 1 rational root. b. 2 distinct rational roots. c. 2 distinct irrational roots. d. 2 distinct imaginary roots.​

Answers

Answer:

please stop being lazy by using OCR! next time type the question!

there's nothing such as  = -x2 3x + 1

it's probablhy f(x) = -x² + 3x + 1

Answer:

2 distinct irrational roots

Step-by-step explanation:

This is the equation: f(x)=x^2

e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?

f) Does f(x) have a maximum or minimum? If so, at what point?

g) What are the x-intercept(s) of f(x)?

Answers

Answer:

e) yes, symmetric around the y-axis

f) minimum at (0,0)

g) x-intercept at 0

Step-by-step explanation:

Select the expression that is equivalent to (m2-16)

A
(m-4)2

B
(m+4)(m-4)

C
(m2+8m+16)

D
(m2-8m+16)

Answers

B because we’re looking at factoring perfect squares and the the square root of m^2 or 1^2 is 1 and that of 16 is 4


HELP PLS ITS ALMOST DUE PLS PLS PLS

Answers

Answer:

19. B

20. C

Step-by-step explanation:

Convert 5.7×108 to its expanded form. sorry guys im not good with math so i need halp ^_^

Answers

The answer is 615.6.If you have more problems like this go to math-way calculator

Find the total area.

Answers

Answer:

area = 164.52 cm²

Step-by-step explanation:

area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²

15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.

Her height h in feet can be modeled by the equation h = -161? + 22.31 + 2,

where t is time in seconds. Use the discriminant to determine if the jaguarundi

will reach the bird if the bird is flying at a height of 10 feet. Explain.

Answers

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

Answer:

No, the Jaguarundi will not reach the bird

Step-by-step explanation:

The equation is

[tex]h=-16t^2+22.3t+2[/tex]

When h = 10 feet

[tex]10=-16t^2+22.3t+2[/tex]

[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]

[tex]a=-16[/tex]

[tex]b=22.3[/tex]

[tex]c=-8[/tex]

Discriminant is given by

[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]

[tex]\Rightarrow b^2-4ac=-14.71[/tex]

[tex]\Rightarrow b^2-4ac<0[/tex]

So, the Jaguanrundi will not reach the bird as the roots will be imaginary.

It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance​

Answers

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

A right cylinder has a radius of 5 and a height of 9. What is its surface area? A. 457 units2 B. 1407 units2 C. 907 units? D. 700 units2​

Answers

Answer: B

The surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Step-by-step explanation:

We have formula to find the surface area of a right cylinder.

Surface area = 2πr(h + r)

Given: r = 5 and h = 9,

Now plug in the value of r and h in the above formula, we get

Surface area = 2π.5 (9 + 5)

= 10π(14)

Surface area = 140π

The value of π = 3.14, when we plug in the value of π, we get

The surface area = 140 × 3.14

= 439.60 cubic units.

Therefore, the surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Hope this helped!!!

A group of students was asked about the number of e-mails they each sent
that day. The results are:
0,0,0,0,1,2,2,3,5,5, 8, 9, 10, 10, 10
Which histogram correctly shows the data set?

Answers

Answer:

C

Step-by-step explanation:

It was right on the quiz

Answer:

It’s B

explanation:

Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

Find the total surface area of the rectangular prism

Answers

Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4  times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

2/5 of 16 simplify if you can thank you

Answers

Answer:

6 and 2/5

Step-by-step explanation:

Answer:

Decimal form: 6.4

Fraction form: 32/5

Step-by-step explanation:

of = times

2/5 x 16 = 6.4

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

Evaluate.Evaluate.

8−2⋅3+7

Answers

Step-by-step explanation:

6×10

=60

niceeeeeeeeeeee

it’s 9, if you put this question on calcutta tot it comes up as 9

Help ASAP please!!!!!

Answers

51in

Step-by-step explanation:

15x5=75

8x3=24

75-25=51

Answer:

hi

Step-by-step explanation:

the area of the little rectangle:

3 in × 8 in= 24 in

tge area of the shaded ragion:

5in × 15in =75in

75in - 24 in=51 in

hope it helps

have a nice day

answer this please
don't send a link ​

Answers

Answer:

Supplementary angles

Step-by-step explanation:

AEB and BEC form a straight line.

They add to 180 degrees

AEB+ BEC

150+30

180

That means that they are supplementary angles

Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon

Step-by-step explanation:

The quotient of a number more than 1 and 3 is 5

Answers

Answer:

https://brainly.com/question/13518166

Step-by-step explanation:

HELP ME PLEASE https://brainly.com/question/22734415
I’m gonnna fail :(

Answers

What’s your question

The perimeter of a square is 28 cm. Find its area and the length of its diagonal.


help me ​

Answers

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

pls help it due soon

Answers

Answers:

Level 1 Q:

[tex]5x+4x=90\\9x=90\\x=10[/tex]

Level 2 Q:

[tex]48+2x=90\\2x=42\\x=21[/tex]

Level 3 Q:

[tex]25+(x-18)=90\\x=83[/tex]

a winter coat was priced at 200. each month for three months, thr price was reduced by 15. how much was the coat reduced in price

Answers

$155
Why: because the starting price is 200. 15*3= 45 dollars taken off in 3 months. $200-$45=$155. Hope this helps!

MATH PLEASE HELP!! HELP BADLY NEEDED....

Answers

Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure

Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.

Answers

Transformation of function f with a feature of the transformed function.

g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x)=3f(x)-3 is domain of (0, ∞)

Learn more about  asymptote here:

https://brainly.com/question/4084552

#SPJ2

Answer:

Step-by-step explanation:

please help i’ll give brainliest

Answers

Answer:

A insects and plants

Step-by-step explanation:

the decaying things are used as fertilizer for plants to grow and insects to eat

PLEASE HELP ASAP!!! WILL MAKE BRAINLIEST!

Answers

Answer: Figure B is 2x bigger on all sides

Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.

My Samsung charger broke so I went to Five Below to get a new one. They were on sale for $15,35 (not so five below). There
was a 6% tax too. How much did the new charger cost?

Answers

Answer:

It would be in thE 20.75

Step-by-step explanation:

Just keep adding change by 9 6 times

Answer : $16.27

Explanation : 15.35 x .06 = .92 cents
15.35 + .92 = = 16.27
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