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

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

Answers

Answer 1

Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

[tex] \tan(60°) = \frac{6 \sqrt{3} }{v} [/tex]

Use the property of proportion to find v:

[tex]v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6[/tex]

Use the Pythagorean theorem to find u:

[tex] {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} [/tex]

[tex] {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144[/tex]

[tex]u > 0[/tex]

[tex]u = \sqrt{144} = 12[/tex]


Related Questions

PLS HELP :))
The property taxes on a house were $1265
. What was the tax rate if the house was valued at $115,000
? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.

Answers

The tax rate of a house valued at $115,000 with a property tax of $1265 is 110%. or $110 per $1,000 of property value.

What is property tax?

The property tax is the levy imposed on the assessed value of the property of an individual or corporation.

Property tax is usually levied as a percentage of the assessed value.

Data and Calculations:

Property tax = $1265

House value - $115,000

Tax rate = 110% [tex](\$1265\div\$115000 \times 100)[/tex]

Thus, the tax rate of a house valued at $115,000 with a property tax of $115,000 is 110%. or $110 per $1,000 of property value.

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Here is another riddle:

-The sum of two numbers is less than 2
-If we subtract the second number from the first, the difference is greater than 1

The riddle can be represented by a system of inequalities. Write a inequality for each statement.


Name a possible (ordered pair) solution to the riddle.​

Answers

The system of inequalities that represents the riddle is:

x + y < 2 (the sum of two numbers is less than 2)
x - y > 1 (if we subtract the second number from the first, the difference is greater than 1)

One possible ordered pair solution to this system of inequalities is:

x = 1.5
y = 0.5

When you add these two numbers, you get 2 which is less than 2. And when you subtract the second number (0.5) from the first number (1.5), you get 1 which is greater than 1. Therefore, this solution satisfies both inequalities in the system.

(Need help please and thank you!) :)

Answers

Step-by-step explanation:

In order to find the f(x) or y value, you have to replace x with the given one in the table:

x = -1,

[tex]y = \sqrt[3]{ - 1 - 7} = \sqrt[3]{ - 8} = - 2[/tex]

.

x = 6,

[tex]y = \sqrt[3]{ 6 - 7} = \sqrt[3]{ - 1} = - 1[/tex]

.

x = 7,

[tex]y = \sqrt[3]{7 - 7} = \sqrt[3]{0} = 0 [/tex]

.

x = 8,

[tex]y = \sqrt[3]{8 - 7} = \sqrt[3]{1} = 1 [/tex]

.

x = 15,

[tex]y = \sqrt[3]{15 - 7} = \sqrt[3]{8} = 2[/tex]

Also, the correct graph is in the 2nd photo, where the root is (7; 0)

Calculate the area of the shape below

Answers

Answer:

Step-by-step explanation:

Area of rectangle+area of triangle

hope the picture helps

Describe the transformations that would map the graph
of f(x) = x^2 + 1 to the graph of g(x) = (x − 3)^2 − 2.

Answers

The graph of [tex]g(x)[/tex] is the result of taking the graph of [tex]f(x)\\[/tex], shifting it right three units and down two units.

PLS HELP ASP!!!

The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map?

98 cm2
42 cm2
28 cm2
8 cm2

Answers

Answer: 98 cm²

Step-by-step explanation:

When a cartographer enlarges a map with a scale factor, both the length and the width are multiplied by the scale factor. In this case, the scale factor is 3.5.

Original dimensions of Colorado on the map:

Length: 4 cm

Width: 2 cm

Enlarged dimensions using the scale factor of 3.5:

Length: 4 cm × 3.5 = 14 cm

Width: 2 cm × 3.5 = 7 cm

To find the area of the enlarged map, multiply the enlarged length and width:

Area = Length × Width

Area = 14 cm × 7 cm

Area = 98 cm²

The area of the enlarged map is 98 cm².

4 1/5 -5/3 subtract

how do i do this eqation

Answers

Answer:

38/15

Step-by-step explanation:

4 1/5 - 5/3

4 1/5 = 21/5

21/5 - 5/3 = 63/15 - 25/15 = 38/15

So, the answer is 38/15

The federal government has developed the body mass index​ (bmi) to determine ideal weights. a​ person's bmi is directly proportional to his or her weight in pounds and inversely proportional to the square of his or her height in inches.​ (a bmi of 19 to 25 corresponds to a healthy​ weight.) a​ 6-foot-tall person weighing 177 lb has bmi 24. find the bmi​ (to the nearest whole​ number) of a person whose weight is 176 lb and whose height is 77 in.

Answers

The BMI​ of a person whose weight is 176 lb and whose height is 77 inches is 21.

First, let's use the given information to find the constant of proportionality in the BMI formula:

BMI = k × (weight in pounds) / (height in inches)²

When the 6-foot-tall person weighing 177 lb has a BMI of 24, we can plug in the values and solve for k:

24 = k ₓ 177 / (72²)

k = 24 ₓ (72²) / 177

k ≈ 9.94

Now we can use this value of k to find the BMI of the person whose weight is 176 lb and whose height is 77 in:

BMI ≈ 21

BMI = 9.94 ₓ 176 / (77²)

Therefore, the BMI (to the nearest whole number) of the person is 21, which falls within the healthy weight range of 19 to 25.

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In X8, Erin had the following capital gains (losses) from the sale of her investments: $2,600 LTCG, $24,400 STCG, ($9,600) LTCL, and ($15,600) STCL. What is the amount and nature of Erin's capital gains and losses?

Answers

Erin's capital gains are the sum of her long-term capital gains (LTCG) and short-term capital gains (STCG), which is $2,600 + $24,400 = $27,000.

Erin's capital losses are the sum of her long-term capital losses (LTCL) and short-term capital losses (STCL), which is ($9,600) + ($15,600) = ($25,200).

Since Erin's capital gains exceed her capital losses, she has a net capital gain of $27,000 - $25,200 = $1,800.

The nature of Erin's capital gains and losses are as follows:

LTCG: long-term capital gain, meaning the asset was held for more than one year before it was sold.STCG: short-term capital gain, meaning the asset was held for one year or less before it was sold.LTCL: long-term capital loss, meaning the asset was held for more than one year before it was sold.STCL: short-term capital loss, meaning the asset was held for one year or less before it was sold.

how will the product change if one number is increase by a factor of 12 and the other is decreased by a factor of 4

Answers

Using factors, we can conclude that the new product will be 48 time more than the old product.

Define factors?

In mathematics, the factor of a number is a divisor of the inputted integer that entirely divides it, leaving no residue. We can use a variety of techniques, including the division method and the multiplication method, to identify a number's components.

Let the product be P.

Let the numbers be a and b.

Now,

P = a × b

According to the question.

Let a is increased by a factor of 12 and b by 4:

P = 12a × 4b

P = 48 × a × b

Hence, we can conclude that the product will increase by a factor of 48.

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Solve the problem in the picture please!

The answer choices are
A) 5
B) 2
C) 200
D) 100

Answers

Answer:

2

Step-by-step explanation:

as H-20 and W=10

So H-constant. (W)

H=2(10)

H=20

So constant is 2

What is the solution to x^3+4x^2 >x+4?

Answers

Answer:

Step-by-step explanation:

it’s equals 0 I think

127.6÷10 to the power of 5
im not sure if that is how you type it

Answers

Answer:

338262.124

Step-by-step explanation:

127.6/10 = 12.76 (depending on how many zero is how much you'll move the decimal to the left)

12.76^5 = 338262.124 because it's 12.76x12.76x12.76x12.76x12.76

-(x+5)³ + 2 = 1


im supposed to be solving cubic equations but im stuck plez help

Answers

Answer: X= -4

Step-by-step explanation:

Triangle ABC aid dilated by a scale factor of 3. Which is an algebraic representation of the dilation?

Answers

Answer:

[tex](3x, 3y)[/tex]

Step-by-step explanation:

The scale factor is 3 so you multiply 3 by the (x,y) to get (3x,3y) as the scale factor

Tom has $160,000 in his retirement account. It is earning an APR of 4.57%. What would be the monthly yield on the account for a 30-year period?

Answers

The monthly interest yield on Tom's retirement account for a 30-year period would be $637.71.

Assuming that the interest is compounded monthly, the monthly yield on Tom's retirement account with an APR of 4.57% for a 30-year period can be calculated using the formula:

Monthly Yield = (Principal × Monthly Interest Rate) ÷ (1 - (1 + Monthly Interest Rate[tex])^{(-Number of Months)}[/tex]

Here, Principal = $160,000

APR = 4.57%,

Number of Months = 30 years ÷ 12 months/year = 360 months.

First, we need to convert the APR to a monthly interest rate by dividing it by 12:

Monthly Interest Rate = 4.57% × 12

Monthly Interest Rate = 0.3808%

Monthly Yield = (160000 × 0.3808%) ÷ (1 - (1 + 0.3808%[tex])^{-360}[/tex]

Monthly Yield = $637.71

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Screenshot, I WILL GIVE 20 POINTS AND BRAINLIST!!!!

Answers

Answer:

0.7 = 0.70, so 0.17 < 0.70

please solve this fast​

Answers

Answer:

34

Step-by-step explanation:

5+5+2=12

12+6+3=21

21+8+5=34

Answer:45

Step-by-step explanation:

5+5(8)=45

Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x

Answers

The only equivalent expression is option (a) [tex]7^x[/tex].

What is expression ?

An expression in mathematics is a group of symbols that represent a statistical correlation or quantity, such as integers, variables, and operators. It may contain exponents, logarithms, and trigonometric functions in addition to mathematical operations like addition, multiplication, multiplication, and division. It may also contain constants, variables, and functions. Expressions can be used in a variety of subjects, including mathematics, calculus, geometry, and statistics, to represent mathematical models, resolve equations, and carry out calculations.

To find equivalent expressions for[tex]21^x/3^x[/tex], we can try to simplify the expression using exponent rules.

21 can be factored as 7*3, so we can write:

[tex]21^x/3^x = (7 × 3)^x/3^x = 7^x × 3^x/3^x = 7^x[/tex]

Therefore, we can see that option (a) 7^x is equivalent to the given expression.

To check the other options:

b) [tex](7/3)^x[/tex] = [tex](7^x)/(3^x)[/tex] which is not equivalent to the given expression.

c) [tex]3^(2x+1)[/tex] can be written as [tex]3^(2x)[/tex] × [tex]3^1[/tex] = [tex](3^2)^x[/tex] × 3 = [tex]9^x[/tex] × 3 which is not equivalent to the given expression.

d) [tex]7^(x-1)[/tex] can be written as [tex]7^x/7[/tex] which is not equivalent to the given expression.

e) [tex](3/7)^x[/tex] is not equivalent to the given expression.

Therefore, the only equivalent expression is option (a) [tex]7^x[/tex].

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The complete question is:

Which expressions are equivalent to [tex]21^x/3^x[/tex]? Check all that apply.

a) [tex]7^x[/tex]

b) [tex](7/3)^x[/tex]

c) [tex]3^(2x+1)[/tex]

d) [tex]7^(x-1)[/tex]

e) [tex](3/7)^x[/tex]

x^2-6x-16 when factored is

Answers

Answer: (x+2)(x-8)

Step-by-step explanation:

x^2-6x-16
x^2-8x+2x-16
x(x-8)+2(x-8)
(x+2)(x-8)

Which statement best reflects how the cultural setting influences
Sigismondo's attitude in the excerpt from "The City Lost in the Snow"?
A
B
C
D
The competition between snow shovelers makes Sigismondo
excited to prove himself to Marcovaldo.
The fast-paced urban environment explains why workers like
Sigismondo must keep the city moving.
The scarcity of jobs makes Sigismondo appreciate the temporary
employment the snow provides.
The industrialization of the city leads Sigismondo to feel ambitious
about his future opportunities.

Answers

In the excerpt from "The City Lost in the Snow," the statement that best reflects how the cultural setting influences Sigismondo's attitude is: C.

The scarcity of jobs makes Sigismondo appreciate the temporary employment the snow provides. T

his statement reflects the importance of the cultural setting, as it shows that Sigismondo values the opportunity to work and earn money, even if it's temporary, due to the scarcity of jobs in the city.

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8a = -12 + 2a me need helpppppppppppppp

Answers

Answer: a = -2

Step-by-step explanation:

8a = -12 + 2a

8a - 2a = -12
6a = -12
a = -12/6

a = -2

The answer is a= -2 because that is what it is

why am i wasting my time in school?

Answers

Answer:

Because you are spending your time doing other things

Step-by-step explanation:

most of the time people waste time in school because they are busy doing other things and they probably don't think school is important.

a way to stop wasting time in school is to pay attention more in class and start developing a desire to learn.

:) i hope this helps lol

Answer:

For more opportunities to go to college, graduating college gets you a degree, the better degree the better job opportunities, the better job opportunities the more money earned. Your in school for money, the best end goal.

1
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How many more points did Zara score than John?
i
C
Number of Points
Points Scored in Basketball Game
25
20
15
10
5
0
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Read and Interpret Scaled Bar Graphs - Quiz - Level C
Mateo
Zara
Player
John
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DONE
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points
8
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76°F Mostly cloudy
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Answers

Answer:

yes

Step-by-step explanation:

john has 34 marbles

Please help meeee

describe an incident that shows how you were doing "selection" during the process of perception. Then, give your own example about a stereotype that you do.

Answers

The description of the incident is shown below

Describing the incident

One incident that shows how selection works in the process of perception is when you are at a party and you hear your name being mentioned in a conversation across the room. In this situation, your attention is immediately drawn to the conversation, and you focus on it while filtering out other sounds and distractions around you.

This is an example of selective attention, where you choose to focus on a particular stimulus and ignore others.

As for an example of a stereotype that I have, it is that all people who live in a certain region or country behave in a particular way.

For instance, I may have the stereotype that people from a particular country are loud and aggressive.

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Find the expression for both A: (x+4) (2x - 1)

Answers

Answer:

2x^2+8x-4

Step-by-step explanation:

6+r=2r+3 how to solve this

Answers

Answer:

soln

6+r =2r+3

6-3=2r-r

3=r

ans r=3

1/5 of a large wall was covered in red paint, 1/10 in blue paint, and 1/4 in green paint. What
percentage of the whole wall is covered in paint (of any colour)?
19%
32%
55%
50%
68%

Answers

Answer:

55% of the whole wall is covered in paint of any color.

Step-by-step explanation:

To determine what percentage of the wall is covered in paint, we need to add the fractions of the wall covered by each color of paint and then convert the result into a percentage.

Red paint: 1/5

Blue paint: 1/10

Green paint: 1/4

First, we need to find a common denominator, which is the least common multiple (LCM) of the denominators 5, 10, and 4. The LCM of 5, 10, and 4 is 20. Now, we can convert the fractions to equivalent fractions with a denominator of 20:

Red paint: (1/5) * (4/4) = 4/20

Blue paint: (1/10) * (2/2) = 2/20

Green paint: (1/4) * (5/5) = 5/20

Now, add the fractions:

Total paint coverage = 4/20 + 2/20 + 5/20 = (4 + 2 + 5)/20 = 11/20

To convert this fraction to a percentage, we can divide 11 by 20 and multiply the result by 100:

(11/20) * 100 = 0.55 * 100 = 55%

Thus, 55% of the whole wall is covered in paint of any color.

Given RP = 22, RA = 6, and PQ is tangent to .R at Q, find PQ.

Answers

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{22}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{PQ} \end{cases} \\\\\\ PQ=\sqrt{ 22^2 - 6^2}\implies PQ=\sqrt{ 484 - 36 } \implies PQ=\sqrt{ 448 }\implies PQ\approx 21.17[/tex]

Quadrilateral ABCD is translated 5 units up. What are the coordinates of
quadrilateral A'B'C'D?
A
D
A(-5, 5)
D(-5, 1)
B' Y
G
C₁
8(-1,5)
C(1, 2)
OA. A'(-5, 0), B'(-1,0), C'(-1, -3),
D'(-5,-4)
OB. A'(-5, 10), B'(-1, 10), C'(-1,7),
D'(-5, 6)
C. A'(-10, 10), B'(-6, 10), C'(-6, 7),
D'(-10, 6)
D. A'(-10, 5), B'(-6, 5), C'(-6, 2),
D'(-10, 1)

Answers

Answer:

it should be B but I could be wrong

Step-by-step explanation:

B

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