Mathematics High School

Find the length side

Find The Length Side

Answers

Answer 1

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Related Questions

The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?

A) 2 students

B) 4 students

C) 5 students

D) 9 students

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Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP QUICK!!! Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?

Answers

Answer: P ≈ 469

Step-by-step explanation:

The United States Congress contains 435 representatives and 100 senators. You want to make groups that each have the same number of representatives and senators. What is the greatest number of groups you can make?

Answers

Answer:

5

Step-by-step explanation:

The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

[tex]m = \frac{10}{ - 5} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.

What is 2/3 to the 3rd power?

Answers

8/27 because 2^3 is 8 and 3^3 is 27

List the area of each shape on the lines below. Then list the shapes in order from greatest to least.

Answers

Answer:4

Step-by-step explanation:

-3/5 + ( - 1/10) simplified fraction

Answers

Answer:

-1/2

if it's not right let me know

Step-by-step explanation:

f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)

Answers

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

Answer:

45

4/5

Step-by-step explanation:

khan academy

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not a triangle

Answers

RESPUESTA: no es un triangulo

EXPRICACION

The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180°.

For any triangle, the sum of any two sides must be greater than the then third side.

As per the given sides,  11, 13, 25

11 + 13 < 25

24 < 25 so it will not a triangle.

Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".

For more about triangles,

https://brainly.com/question/2773823

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Help until 10:15! consider the expression 40 + 24. find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.

Answers

Answer:

8(5+3)

hope this helps

The ratio of teachers to student at this school is 1:28. What fraction of the school is teachers?

Answers

3:57. Is the correct answer

PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?​

Answers

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

Which choice is equivalent to the expression shown below-3(3y-2x)+2(5x-4y)

Answers

Answer:

17y+16x

Step-by-step explanation:

-9y+6x+10x-8y

=17y+16x

What is the Solution of the equation y=2x+3

Answers

Answer:

let X interchange y and vice versa

X= 2x+3

carry across +3

X-3=2X

carry across 2 (2X is 2 multiple by X when carried across the sign change to division)

so X-3 divided by 2 is = X

could be misinterpreting this question so I'm not entirely sure.

GeoGebra
Rhombus action!

Answers

Rhombuses have four right angles in them. This specific one has four right triangles as well. all four sides are equal. marked by the lines that look like this “. All parallelograms have 4 sides and angles.

Joe travelled 60 miles in 1 hour 30 minutes.
Work out Joe's average speed.​

Answers

Answer:

1.5

Step-by-step explanation:

1hour and 30 mins = 90 mins

60miles:90mins  that is the ratio

90/60=1.5miles per minute

i think this is the right answer

pls let me know and i hope it helps

Help pls someone help

Answers

Answer:

With what?? umm I dont see anythinggg

the number of square units the figure encloses

Answers

Yo my name is Josue how y’all doing

Helpppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I will mark you brainliest
If i get the answer to this pleaseeeeeee
This is a important test i need to passs:(

Answers

Answer:

2.4.5675/625.92 i will help no f1

Estimate a 15% tip for a $27.60 bill.

Answers

Answer:

$4.2=tip value

$32.2=total value

Step-by-step explanation:

to estimate means to round to make it easier and i rounded 27.60 to 28 and 15% of 28 is 4.2, then to find the total value add the tip to the bill cost 4.2+28 to get 32.2 so its around 32.2 dollars

plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4​

Answers

Answer:

y = -3/4x -4

Step-by-step explanation:

Parallel slope = -3/4

(-4,-1)

y - y1 = m(x - x1)

y + 1 = -3/4(x + 4)

y + 1 = -3/4x - 3

y = -3/4x -4

A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have in the account after 2 years? (Round to the nearest cent-- 2 decimal places)

Answers

$13777.00

Step-by-step explanation:

What is the value of b?

Answers

The value of b should be 59

Emma buys a house for £250000
She sells the house for £263750
Calculate the percentage profit Emma makes

Answers

Answer:

£13750

Step-by-step explanation:

263750- 250000 = 13750

Answer: 5.5%

Step-by-step explanation:

263750 - 250000 = 13750÷ 250000 = 0.055

Multiply by 100 = 5.5%

Find the measure of each exterior angle of a regular polygon in which the sum of the measures of the interior angles is 2,520 degrees.

Answers

Answer:

0 y+o+u+t+u+b+e

Step-by-step explanation:

Complete the inequality for this graph.
y ≤ [?]

Answers

Answer:

Step-by-step explanation:

An angle measures 62.4° less than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

28

Step-by-step explanation:

So if it's a complementary angle is equals 90 degrees total. So subtract 62 from 90. 90-62=28

Joe spent 1 1/3 hours studying for his math test. Randy studied for the amount of time that Joe did. What fraction of a hour did Randy spend studying?​

Answers

Answer:

1 1/3

Step-by-step explanation:

Randy studied for the same amount of time so it would be the same answer im not sure if I'm correct but hope this helps

Please Help...........

Answers

Slope is m= y2- y1 / x2- x1.

Billy flipped both where the numbers go, and in which order they should be in.

It should be -5-5 / -2-2 giving you zero (0).

y - 9.4 = 5.22
what is the value of y

Answers

Y = 14.62

You add 9.4 to 5.22 to isolate Y

Answer:

y=14.62

Step-by-step explanation:

Move the constant to the rightCalculate
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