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 study of the effects of exercise used rats bred to have high or low capacity for exercise. The 8 high-capacity rats had mean blood pressure 89 mm Hg and variance 81 (mm Hg)'; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169 (mm Hg). What is the value of the two-sample t statistic for comparing the two population means

Answers

Answer:

T statistic = 0.256

Step-by-step explanation:

Given :

High capacity rats:

nh = 8

Xh = 89

s²h = 81

Low capacity rats :

nl = 8

Xl = 105

s²l = 169

Test statistic :

(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))

Pooled variance (Sp) :

[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)

[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)

(7*81 + 7*169) ÷ 14

= 1750 / 14

= 125

Hence,

(89 - 105) ÷ 125(sqrt[1/8 + 1/8)

16 ÷ (125 * 0.5)

16 /62.5

= 0.256

What is the y-intercept in the graph below?
y
1

Answers

Answer:

1

Step-by-step explanation:

y-intercept: the point where the line and the y-axis intersect

Answer:

y-intercept =1

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis.

Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.

Answers

Answer:

50

Step-by-step explanation:

10*5=50

Which equation can be used to solve for x in the following diagram

Answers

Answer:

c) 5x + 13x = 180

Step-by-step explanation:

c) 5x + 13x = 180

c) 5x + 13x = 180

20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in​

Answers

Answer:

Step-by-step explanation:

Someone come help him out

best answer gets a brainliest answer it’s due today

Answers

Answer:

b

Step-by-step explanation:

I think b is your answer if not I'm so sorry.

The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?

Answers

Answer: 20 meters

Step-by-step explanation:

A= w l

A= A /w = 600/30 = 20m

L= 20 m

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 8x

Step-by-step explanation:

Since slope is 8/1 which is equal to 8 and x-intercept is 0.

Put these in slope-intercept equation i.e  y = mx + b

Answer:

Y=8x

Step-by-step explanation:

You have to calculate the slope. Delta y over delta x

Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.

x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15

Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).

Answers

Answer:

Step-by-step explanation:

From the information given:

X represent no of Canon SLR

The pmf is given as:

X      0         1        2           3        4

p(x)   0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended waranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]

The condition probabilities Y given X is:

[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]

[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]

The Joint P.D is;

                       Y                                                                      Total

              0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

       1      0.09        0.11              0               0         0                 0.2

   2    0.06075  0.1485      0.09075          0         0                 0.3

   3    0.022781 0.083531 0.102094   0.041594  0                0.25

   4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2) = 0.055131

(b)

[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]


Answer choices
10%
30%
25%
No links no links I will report

Answers

I think 25% I’m sorry if I’m wrong but it seemed more reasonable

I need help please. I need the the discount and selling price. Thank you

Answers

The discount is $1,880 and the selling price is $21,620, make sure to put the dollar sign to make sure you know what the number means

I need the answer please don’t scam with a link

Answers

a.) False
b.) True
c.) True
d.) True

Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.

Answers

Yalllllllllllllllllllllllllllllllll It’s c

During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?

Answers

Answer:

Most snow- 3 1/2 inch least snow, 1/2 inch

Step-by-step explanation:

A person invested $420 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $960?

Answers

Answer:

t=11.9

Step-by-step explanation:

960=420(2)^t/10

2.28571429=2^t/10

add log to both sides

log(2.28571429)=10 t  log(2)

divide by log 2

1.19264508=  10 /t

10(1.19264508)

11.926450779=t

Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25​

Answers

Answer:

1, 2, and 6

Step-by-step explanation:

5*.25=1.25 7*.25=1.75 12*.25=3

Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)

Answers

Answer:

11

Step-by-step explanation:

The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,

⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]

⇒ D = √ [ (8-1)² + (7+2)² ]

⇒ D = √ [ 7² + 9² ]

⇒ D = √ [ 49 + 81 ]

⇒ D = √ 130

D = 11.401 units

Rounding off we have , 11.401 ≈ 11 units .

Hence the required answer is 11 units

The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first
number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15

Answers

Answer:

17 and 22 edge 2021

Step-by-step explanation:

find the measure for the angle of theta

Answers

Answer:

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

I need help on finding this answer

Answers

Answer:

I think Cube

Step-by-step explanation:

A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?

Write as a fraction in simplest form

Answers

Answer: 2/3

Step-by-step explanation 5/15 is the probability of blue marble will get picked but if simple form will be 2/3

4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?

Answers

Answer:

first one is x=-15-2y/5

second one x=y-3

Step-by-step explanation:

If iis raised to an odd power, then it can not simplify to be
0-1
O-1
Oi

Answers

O-1 id k maybe

I tried ok have a great day

The value of i³ will be equal to - i.  The correct option is D.

What is a complex function?

The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.

Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.

Given that;

i = √ - 1

Simplify the given value as below,

i = √ - 1

i² = - 1

i³ = - 1 × i

i³ =  - i

Hence, the value of i³ is,

⇒ i³ = - i

Learn more about the complex numbers visit:

brainly.com/question/10873737

#SPJ7

The complete question is given below.

If i=1, what is the value of 1³?

A -1

B i

C 1

D -i

Which of the following options has a distance of 12 city blocks? Select three that apply.

Answers

Answer:

E

F

D

Step-by-step explanation:

That's what I am sorry if its wrong

Answer:

C, E and F

Step-by-step explanation:

Evaluate (3.68)²26705
55​

Answers

Answer:

I am sorry I need points I am really sorry

Answer:

Step-by-step explanation:

0.0000368

Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)

Answers

The answer is A I think

Help me pls I’m stuck

Answers

Answer: 44

Step-by-step explanation:

<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ

the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)

<O has the same measure as the arc  NQ so angle O is 44

It’s 44 my guy I only know this cause I gotta big brain

Brainliest for correct answer asap

Answers

B , -4x-4x-4 . the other answers are wrong

A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?

Answers

Answer:

270 i tink it is the answer

184 Answer:

Step-by-step explanation:

4 times as


Find the area of the trapezoid:
28 in.
16 in.
21 in.

Answers

The area is 462 in.
I believe is 16 or 17 form all the research and solving it I think is 16
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