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:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]


Related Questions

Estimate g(14). (Use the midpoint to get the most precise estimate.)

I know how to apply the midpoint theorem, but I don't know where I should start my intervals.

Answers

We have that for the Question "I know how to apply the midpoint theorem, but I don't know where I should start my intervals." it can be said that

Where you start your intervals are at the (x,y) co-ordinate of the Reference points

From the question we are told

I know how to apply the midpoint theorem, but I don't know where I should start my intervals.

Generally the equation for the midpoint   is mathematically given as

[tex]m=\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex]

Naturally the midpoint of two point is the point in between the reference points where distances from them are equal

Therefore

Midpoints co-ordinates simply considers the co-ordinate of the two main reference points.(x,y)

Hence

Where you start your intervals are at the (x,y) co-ordinate of the Reference points

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PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

d. took the test

Step-by-step explanation:

Explain the equivalence of 7 divided by 2 or 7/2and using words.

Answers

Answer:

so this is what i think im not sure but ot will be seven dived by two . i hope this works

48 mouse traps/6 people = X mouse traps/1 person

Answers

Answer:

8 mousetraps

Step-by-step explanation:

to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.

Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer

Answers

$30
12 divided by 4 is 3
3 times 10 is 30

the x-intercept of the graph of f(x)=3log(x-5)+2 is:

Answers

Answer:

C

Step-by-step explanation:

To find the x- intercept let f(x) = 0 , then

3log(x - 5) + 2 = 0 ( subtract 2 from both sides )

3log(x - 5) = - 2 ( divide both sides by 3 )

log(x - 5) = - [tex]\frac{2}{3}[/tex] , then

x - 5 = [tex]10^{-\frac{2}{3} }[/tex] ( add 5 to both sides )

x = [tex]10^{-\frac{2}{3} }[/tex] + 5 → C

Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.

Answers

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Identify the similar triangles.
ΔHFE=
ΔHFE=​

Answers

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

What are similar triangles?

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

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Also you have to like multiply all of the numbers or sum.

Answers

Answer:

174 m^2

Step-by-step explanation:

9 * 5 = 45

9 * 5 = 45

9 * 3 = 27

9 * 3 = 27

5 * 3 = 15

5 * 3 =15

45+45+27+27+15+15 = 174 m^2

Hope this is helpful.

Answer:

174 m²

Step-by-step explanation:

9 * 5 = 45 (that's the bottom and top areas)

9 * 3 = 27 (that's both the bigger sides areas)

5 * 3 = 15 (that's both the smaller sides areas)

Now  you have to double:

45 * 2 = 90

27 * 2 = 54

15 * 2 = 30

Now sum:

90 + 30 + 54 = 174

Solve the following

Answers

b) x=4.5
c) x=35
d) x=13

Answer:

b) 2x=9=>x=9/2=4.5

c)x/5=7=>x=5×7=35

d)x/2=6.5=>x=6.5×2=13

Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E

Answers

Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?

Answers

Answer:

107

Step-by-step explanation:

Because, 36+35=71

and 71+36=107

Answer:

107

Step-by-step explanation:

not that hard bro

Helppp on mathhh pls it’s due tomorrow

Answers

Answer:

1. 20 km

2. 0.5 hours

3. 40 km

4. 1.5 hours

5. A, 40 km/hr

6. 80 km/hr, 40 km/hr

Step-by-step explanation:

2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.

1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.

3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.

4. Both cars reached point C at the same time of 1.5 hours.

5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]

6.

First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]

Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]

PLEASE HELP ME OUT!!

Convert the following

1,000 mL = _______ L

4,500 mg = _______ g

25 cm = ________ mm

Answers

Answer:

1,000ML = 1 L

4,500MG = 4.5G

25CM = 250MM

Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?

Answers

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

A = P {1 + (r/n)}^nt.

In which case;

A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15

Therefore;

$16,876.72 = $7,972 (1 + r/1)^(1×15)

$16,876.72/$7,972 = (1 + r/1)^(1×15)

2.117 = (1 + r/1)^(1×15)

[tex]1 + r = \sqrt[15]{2.117} [/tex]

1 + r = 1.051

r = 1.051 - 1

r = 0.051

The interest rate is therefore; 0.51%

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A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted

Answers

Answer:

1800.

Step-by-step explanation:

If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 =  25!/ (25-2)!

= 600.

If the first number is M or P the number is the same so that makes 1800 possibilities.

Help please help I really need help

Answers

Answer:

i can barely see this...can you make it bigger then i can figure out what o do so i can give you the answer......

Step-by-step explanation:

the length of a rectangle is (2x + 1) the width of the rectangle is (x^2 + 2x - 1). which expression represents the perimeter of the rectangle?

Answers

Answer:

(2x+1+x^2+2x-1)*2=2x^2+8x

Step-by-step explanation:

I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get

Answers

If he get 96 new customers that means he will have to sign 24 customers

for the new service features.

The deal is to get 25% of your new customer to sign the new service features.

When the new customers are 96 in numbers, the number of individuals(25%

of the new customers) to be signed for the new features can be calculated as

follows:

New customer to sign for the new features = 25% of 96

New customer to sign for the new features = 25 / 100 × 96

New customer to sign for the new features = 2400 / 100

New customer to sign for the new features = 24

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This means that if I get 96 new customers that means I have to get 24 new customers

From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.

Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:

= 25% of 96

= 0.25 * 96

= 24 new customers

This means that if I get 96 new customers that means I have to get 24 new customers

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Solve the Quadratic equation
8n²-56=48n

Answers

Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

Simplify.

–36 + (–74)


–110


–100


38


110

Answers

Answer: -110

-------------------------------

- 36 + (-74)

- 36 - 74

- 110

<3

Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?

Answers

if he swims .10 in 2 mins, half of that (one min) is .05

Duke swims 0.05 miles in a minute.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Duke swims 0.10 mile in 2 minutes.

Now,

Since, Duke swims 0.10 mile in 2 minutes.

Thus, Speed = 0.10 / 2

Speed = 0.05 mile per minute

And, He swims at the same speed.

Thus, Distance in 1 minute,

Speed = Distance / Time

0.05 = Distance / 1

Distance = 0.05 miles.

Thus, Duke swims 0.05 miles in a minute.

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PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST

Answers

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7

What is the y-intercept?

Answers

Answer:

y- intercept = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses the y- axis

In this case that is the point (0, 4 ) , then

y- intercept = 4

5+8 = 13 but 8+5 = 14 explain

Answers

Answer:

Their both the same answers which is 13

Step-by-step explanation:

solve for x. round to the nearest tenth of a degree, if necessary

Answers

Okay but where is the problem?

A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.

Answers

Answer:

yy is the comparative narrow of speech to me happy and a bit in a sentence

Step-by-step explanation:

ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be

Write the first five digits of 1/7 in base 9 expression

Answers

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

so

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

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Answers

I think when you copied and pasted your question it re arranged itself

Help ASAP!!!!!
A. 1/4
​B. 4
C. - 1/4
​D. –4

Answers

Answer:

D. -4

Step-by-step explanation:

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