Find the missing side lengths. Leave your answers as radicals in simplest form.

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.

Answers

Answer 1

9514 1404 393

Answer:

x = 18y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.


Related Questions

A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.

B.
The location of the scuba diver in relation to sea level was feet.

C.
The location of the scuba diver in relation to sea level was feet.

D.
The location of the scuba diver in relation to sea level was feet.

Answers

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

Help. Please and a few others are

Answers

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

Find the solution set of the inequality:

-3x + 8 < 15

Answers

Answer:

the answer would be x>-7/3

A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?

Answers

Answer:

Ihe answer is 845 times

Step-by-step explanation:

the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

how many 5/8 pound bags does it take to get 16 pounds of soil?

Answers

Answer:

10

Step-by-step explanation:

25.6 bags or 25 3/5 bags




5m²+15m=0

t²-5t+6=0

5p²+12p+4=0

2a²+10a-48=0

x(2x+5)=0

Answers

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

write an equivalent expression 8(y-7z+1)

Answers

Answer:

8y−56z+8

Step-by-step explanation:

Which similarity statement and justification correctly identifies the triangles'

relationship? *

Help plz

Answers

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Find the missing angle. Find x

Answers

Answer: 20

Reason: They're opposite meaning they are the same when compared to the side

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

what is the total surface area​

Answers

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?​

Answers

$39.96 should be ur answer

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Find the value of f(4) for the function

Answers

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?

Answers

Answer:

The answer is A

Step-by-step explanation:

a=(0,10)×2, b =(8,6)×2 c=(4,2)×2

Someone answer this Please

Answers

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900

Answers

Answer:

In order to maximize profit, each widget should sell for $26.70.

Step-by-step explanation:

The total amount of profit y given by the selling price of each widget x is given by:

[tex]y=-15x^2+801x-5900[/tex]

And we want to determine the price of each widget such that is yields the maximum profit.

Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.

The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.

Therefore, the price that maximizes profit is:

[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]

Therefore, in order to maximize profit, each widget should sell for $26.70.

Notes:

Then substituting this back into the equation, the maximum profit is:

[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]

I already know the answer but ima check and see.

Answers

I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100


MARK ME BRAINLIEST PLEASE

please answer faster then I will mark you branliest​

Answers

Answer:

4. The strength of class V is 300

5. Meenakshi bought a TV for Rc 46,000

Step-by-step explanation:

4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.

5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.

how many degrees is a acute angle

Answers

The answer is 90 degrees

Any angle that measures less than 90 degrees

Determine whether the figure is a parallelogram.

Answers

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

help please triangles and trig

Answers

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10

Answers

Answer:

c

Step-by-step explanation:

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in

Answers

Answer:

6pulgadas  

Step-by-step explanation:

. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C

Answers

Answer:

C IS THE ANSWER

C im pretty sure is the answer

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Each small square in the figure below measures 1 foot on each side what is the area of the triangle

Answers

Answer:

It should be 0.5 if I’m wrong let me know

Step-by-step explanation:

A=HbB/ 2 = 1x1/2=0.5

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Answers

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

a train travels 18 km in 30 minutes.Find the speed of the train in km/h

Answers

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

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