What is the ratio of the sides for triangle SUV?

What Is The Ratio Of The Sides For Triangle SUV?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Given : VU = 8 cm, let SV = n and SU = m

[tex] \tan(45) = \dfrac{8}{m} [/tex]

[tex]1 = \dfrac{8}{m} [/tex]

[tex]m = 8 \: \: cm[/tex]

so, SU = 8 cm

[tex] \sin(45) = \dfrac{8}{n} [/tex]

[tex] \dfrac{1}{ \sqrt{2} } = \dfrac{8}{n} [/tex]

[tex]n = 8 \sqrt{2} [/tex]

SV = [tex]8\sqrt{2}[/tex]

now,

The ratio of sides of Triangle SUV is :

[tex]8 : 8 : 8 \sqrt{2} [/tex]

[tex]1 :1 : \sqrt{2} [/tex]

hence, correct choice is C

Answer 2

In ∆SUV

tan45=VU/SU

So

VU=SU=8 as tan45=1

Rest for SV

use Pythagorean theorem

SV²=8²+8²SV=8√2

So ratio is

1:1:√2

Related Questions

solve 10x-3(x-7)=x+39

Answers

X=3 bdbdjdjdjjdjdjdjdjfhjfjfjjfjfjfjfjfjjfjfjf

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

PLEASE HELP DUE TODAY NO LINKS WILL REPORT

Answers

Answer:

The first option

Step-by-step explanation:

Because you cannot have a negative squared root

Answer:

a.

Step-by-step explanation:

I had this question before lol.

–8(6+3)
-83
Please help me

Answers

Answer:

-155

Step-by-step explanation:

-8\cdot \:9-83

-72-83

=-155

PLEASE HELP QUICK :) multiple choice.
Which of the following functions has a factor of x + 9 ?
A: f (x) = x^3 - 8x^2 - 11x + 18
B: f (x) = x^3 + 10x^2 + 7x - 27
C: f (x) x^3 + 10x^2 + 7x - 18
D: f (x) = x^3 - 8x^2 - 11x + 27

Answers

Answer:

C. f(x) = x³ + 10x² + 7x - 18

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, NoB. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 =  -9, NoC. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, YesD. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No

10. Name the line three ways.

Answers

Hi there, can you elaborate on your question. I don’t understand

Help me :( please help me

Answers

Answer:

22.84, 5.83

Step-by-step explanation:

Pythagoras theorem states that: a^2+b^2=c^2

So, for red triangle, it will be: 9^2+21^2=b^2

81+441=b^2

522=b^2

square root of 522=b

22.84=b

For purple one,

3^2+5^2=a^2

9+25=a^2

34=a^2

square root of 34=a

5.83=a

Write and solve an inequality that represents the values of x, in feet.

The perimeter is less than 16 feet.

Answers

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K

find abc !!!!!!!! !!!!!

Answers

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

9 - 5n < -4n + 9 or 9n + 4 < 7n - 4

Answers

CORRECT!!!!!!!!!!!!!!!!!!!!!! Okay I’m sorry to say I didn’t have to tell me what I meant lol I was thinking of a friend group that was a good girl lol I just wanted you and me too so I didn’t tell her I didn’t tell anyone

(1.5x10^-5)+(3.5x10^-2) what is this written in scientific notation??

Answers

Answer:

0.035015x

Step-by-step explanation:

tập nghiệm của phương trình 3tan+√3=0

Answers

Tan(x) = -3/sqrt(3)
X= tan^-1(-3/sqrt(3))
X= -60 degree

Answer:

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Step-by-step explanation:

3 tanx = -√3

tan x = - 1/√3

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

In a particular part of the Volta lake, there is a population of 100000 tilapia. The number of tilapia is decreasing at a rate of 10% per year due to pollution from a human settlement on the shores of the Volta lake in this area.
2. Copy and complete the table below to show the number of tilapia P after 1, 2 and 3 years
Number of years (t) 0 1 2 3
Number of tilapia (N)
Criterion B 1-2
b) Write an exponential model for the number of tilapia N after t years
Criterion B 3-4
c) When the population of tilapia falls below 25000 it is at a ‘critical level’. Write an inequality and calculate how long it will take for this lake to be at a critical level.

Answers

Answer:

?????

Step-by-step explanation:

Elaine old bicycle had tires with 12 inch diameter. Her new bicycle has tires with 16 inch diameter. What is the difference in the same conference of the tires​

Answers

Answer:

12.56 inches

Step-by-step explanation:


Barry buys a new washing machine.
The value of the washing machine depreciates by 20% each year.
(a)
Barry says 'after 5 years the washing machine will have no value'.
Barry is wrong. Explain why.
Barry wants to work out the value of the machine after 2 years.
(b)
By what single decimal number should Barry multiply the value of the machine when new?

Answers

Answer:

The machine decreases in value by 20% each year.

After 1 year the machine is worth only .8 of its original value.

The machine will only decrease by .2 * (.8 A) in the second year not .2 * A where A is the  original amount.

A1 = .8 A

A2 = .8 A1 = .64 A    value of machine after 2 years

.8 is the value Barry needs when the machine is  new

.8^n never goes to zero

After 10 years   value = .8^10 A = .11  A of its original value

IT'S HOMEWORK WHOEVER GIVES ME A GOOD ANSWER I WILL MAKE BRAINLIST. For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio? write and solve a proportion with ration language.

Answers

Answer:

1200:300

4:1 is the final ratio

Larry and Cathy study for a total of 24 hours each week. Larry studies 3 less than twice the hours than Cathy studies. How many hours does Cathy study per week?

Answers

Let Cathy studies x hoursLarry studies 2x-3hours

ATQ

[tex]\\ \sf\longmapsto x+2x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x=24+3[/tex]

[tex]\\ \sf\longmapsto 3x=27[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

Answer:

ᎪꪀsωꫀᏒ

9 hours Cathy study per week

Step-by-step explanation:

=> according to the question

➪ x+2x-3=23

➪ 3x-3=24

➪ 3x=24+3

➪ 3x=27

➪ x= 27/3

➪ x= 9

yolanda's yoga class charges a $20 membership fee and $20 per visit.
write an expression that represents the cost of "x" visits: C=_______
how many visits would it take for the two costs to be the same?
(use your expressions and make them equal to each other and solve)

Answers

The 2 expressions: 10x + 100 and 20x + 20

20x + 20:

20 dollars per visit (20x)  ;  20 dollar fee (20)

10x + 100 = 20x + 20    Subtract 10x from both sides

100 = 10x + 20          Subtract 20 from each side

80 = 10x               Divide by 10

x=8

please help due today NO LINKS WILL REPORT

Answers

Answer:

Step-by-step explanation:

i think that the answer is a, because the def of natural numbers match's and there all integers.

Lourdes plans to jog at least 1.5 miles. Write and solve an inequality to find x, the number of hours that Lourdes will have to jog..

Answers

Answer:

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

Lourdes plans to jog for at least a distance of 1.5 miles

If Lourdes can jog averagely at the speed of 3.75 mph

Then,

the inequality that can represent the information can be written as:

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Step-by-step explanation:

Find the slope of the line that passes through (20, -37) and (68, -56).

Answers

i believe it would be -19/48

help please i need it with explanation

Answers

Answer:

10. x = -23          

Step-by-step explanation:

-3.8x - 5.9x = 223.1

-9.7x = 223.1         (-3.8 minus 5.9)

x = -23    (223.1 divided by -9.7)

Answer:

12. x = 70

Step-by-step explanation:

(-3/5)x - (7/10)x + (1/2)x = -56

-(4/5)x = -56       ( -3/5 minus 7/10 plus 1/2)

x = 70        (-56 divided by -4/5)

match the inequality with its graph

Answers

C is the correct solution to your question!

what is the sum of the prime numbers of 420 do not repeat any prime factors A 15 B 16 C.17 D. 18 E. 19

Answers

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

Write the value of
[tex]1 - 2 \cos {}^{2} c[/tex]


Answers

Step-by-step explanation:

1-2cos²c.

> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)

> cos²c+sin²c-2cos²c

> sin²c-cos²c.

is your correct answer.

hope this helps you.

A? B? C? or D? help meeeeee​

Answers

Answer:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

Look at the figures. How can you prove the triangles are congruent?
is it
A) ABC= DEF by the SAS postulate

B) It is not possible to determine if the triangles are congruent

C) ABC = DEF by the SSS postulate

Answers

Answer:

SAS

Step-by-step explanation:

AB ≅ DE                                        Given

AC ≅ DE                                         Given

∠ A  and ∠B are right angles        Given

∠A ≅ ∠B                                        All right angles are ≅

Two opposite angles of a parallelogram are always

Answers

Answer:

Two opposite angles of a parallelogram are always equal.

Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?

Answers

Nothing because you can’t gain anything from 0

HELP THIS IS DUE SOON 30 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

  f(x) = 4x-5

    11 = 4x-5

4x-5 = 11

   4x = 11+5

        = 16

     x = 16÷4

        = 4

Let f(x)=8x−6. What is the value of f(12)?

Answers

Answer:

f(12) = 90

Step-by-step explanation:

This is more of a notation problem than anything else.

The x on the left means that the variable is x. That sounds weird I know, but it starts out this way.

f(variable) =  8*variable - 6

Where you see the word variable, you put the letter x and that gives you the question.

f(x) = 8*x - 6

That is math shorthand for whatever you see on the left, like an x or in this case 12, you put the value 12 in for x on the right. It will look like this.

f(12) = 8*12 - 6   Now it just becomes a calculator problem.

f(12) = 96 - 6

f(12) = 90

Other Questions
What was the downfall of rich colonies1. Disease2. Poor leadership3.Native American rebillions4.english takeovers Hello again, wanted to know if this Ordered pair Describes the location of point C, help me. Mrs. Johnston is handing out supplies in class today. She gives each student 3 erasers for every pencil she gives them. The chart above will help her decide how many erasers to hand out. How many erasers will she need for 6 pencils? ( HELP ASAP!!!!!!!!!) the ratio is equivalent to 28 Change Worksheetanswer the following questions.The graph was drawn from data collected as a substance was heated at a constant rate. Use the graph to180160Phase Change Diagrarn140120Temperature (C)100DB80604024681618202210 12 14Tim e (minutes)At point A, the beginning of observations, the substance exists in a solid state. Material in this phase hasDeontz_ volume and __ha2_shape. With each passing minute,is added to thesubstance. This causes the molecules of the substance to me more rapidly which we detect by at2 Maturise in the substance. At point B, the temperature of the substance is __C. The solidbegins to_AAt point C, the substance is completely or in a mate state.Material in this phase has_Det volume andshape. The energy put to the substancebetween minutes 5 and 9 was used to convert the substance from a 3DThis heat energy is called the latent heat of fusion. (An interesting fact.)to ato aBetween 9 and 13 minutes, the added energy increases the du of the substance. During thetime from point D to point E, the liquid isBy point E, the substance is completely in thephase. Material in this phase hasvolume andshape. The energy put to the substance between minutes 13 and 18 converted the substance from astate. This heat energy is called the latent heat of vaporization. (Aninteresting fact.) Beyond point E, the substance is still in thephase, but the moleculesare movingas indicated bythe increasing temperature,Substance Melting point Boiling pointBolognium20C100 CWhich of these three substances was likely used in thisUnobtainium40C140 Cphase change experiment?Foosium70 C140CONUS: For water, the value for the latent heat of vaporization is 6.8 times greater than the latent heat of fusion. Imagine we wereding heat at a constant rate to a block of ice in a beaker on a hot plate, and it took 4 minutes for the ice to melt completely. Howuld it take, after the water started boiling, for the beaker to be completely empty (the liquid water totally converted to water van A battery-powered lawn mower has a mass of 52.0 kg. If the net external force on the lawnmower, including both your push and any resistance, is 44.5 N (about 10 pounds), then whatwill be the magnitude of the mower's acceleration? What statement apply to ratio of rice and water? Choose two there are two numbers tat multiply to -36 and combine to 0. Find the two numbers,then the SMALLER number is your answer for this question A tight knot can be easily opens by using a longer spanner. Give reasons How were us and Soviet goals different after ww11? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP.For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio? Can you plssssssssssss help meCan you do plsssssssss help me Shane Dawson is back opinions? It is parents' duty and responsibility to _______ hands to take care of their children and give them a happy home. Aloha! Looking for some help with an Algebra 1 equation. See photo below. Thank you in advance. Vit cu trc Lewis v cng thc cu to cho cc phn t sau: MgO; HNO3; H2SO4. Gii thch lin kt trong cc phn t trn thuc loi lin kt g? Xc nh mc ion trong lin kt MgO. How well was the Congo Free State governed? Explain your answer and give evidence. The volume of the Earth is about 0.0000007 times as great as the volume of the Sun. That's pretty small!How could you write the Earth's volume in comparison to the Sun's in scientific notation?Earth's volume is _____X____times as great as the Sun's. Which relation is a function? Please help ill give you anything