An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides?

Answers

Answer 1

Answer:

22.07 ft & 9.32 ft

Step-by-step explanation:

by sines rule :

20/sin 65° = r/sin 90° = y/sin 25°

r = 20×sin 90°/sin 65° = 20/0.9063

= 22.07 ft

y = 20×sin 25°/sin 65° =

20× 0.4226/0.9063

= 9.32 ft


Related Questions

find the slope of the line which passes through (-2, -2) and (2, -4)

HELP ME PLS

Answers

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-2) / 2 - (-2)

-2 / 4

= -1/2

5ft and 12ft What is the length of the hypotenuse? feet​

Answers

Answer:

The answer is 13 feet.

Step-by-step explanation:

Assuming that the lengths 5ft and 12ft are the legs of the triangle, use the  Pythagorean Theorem to find the unknown length of the hypotenuse:

a^2 + b^2 = c^2

Now, simply plug in the values of the triangle legs:

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the hypotenuse is:

[tex]a^2+b^2=c^2[/tex]

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

So:

25 + 144 = 13

Have a good day :)

Victo scored 8, 10, 8, 9, and 10 points on his first five math quizzes. He calculated the median before and after he took the sixth quiz. The median did not change. How many points did he score on his sixth quiz? pls help!

Answers

Answer:

9

Step-by-step explanation:

the median is 9 and to keep it the same you put 9

Hope this helps!!!

Tara bought one share of Apple stock in 2018 for $43.75. Then, three years later, she sold it for $136.76. How much money did she gain/lose with this stock? What was her return on investment?

Answers

Answer:

Gain= $93.01

ROI= 212.59%

Step-by-step explanation:

Given data

Cost of apple share in 2018 = $43.75

Sale price of apple share= $136.76

1. Her gain is

Gain= Sales price- Cost price

Gain = 136.76-43.75

Gain= $93.01

2. ROI is

ROI= Gain/cost*100

ROI= 93.01/43.75*100

ROI=2.1259*100

ROI= 212.59%

If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor

Answers

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

Helppp hellppp helppp pleasee

Answers

The middle answer or B (which is the middle answer)

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Answers

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

what is the question of 1.892 x 10^8 and 4.3 x 10^3 expressed in a scientific notation
____ x 10^—
PLS ANSWER ASAP

Answers

What are you asking ?

(50 points) Subtract. (−8.3x+4)−(3.2x−5) Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)

Answers

Answer:

(−8.3x+4)−(3.2x−5)

(−8.3x+4)−3.2x+5

−8.3x+4−3.2x+5

-11.5x+9

Step-by-step explanation:

Round your answer to the nearest hundredth










Khan Academy

Answers

Answer:

Step-by-step explanation:

take 40 degree as reference angle

using cos rule

cos 40=adjacent/hypotenuse

0.76=5/x

0.76x=5

x=5/0.76

x=6.578

x=6.58

There is a positive correlation between number of TVs owned by a person, x, and the average life expectancy, y. What conclusion is TRUE? ​

Answers

Answer:

c

Step-by-step explanation:

i think this is right

I need help. Please someone help. .......................................................................................................

Answers

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

hey what's the answer
thanks.

Answers

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

-4(7.5x-8)=-5(6.3x+8)

Answers

Answer:

x = -48

Step-by-step explanation:

-4(7.5x - 8) = -5(6.3x + 8)

-30x + 32 = -31.5x - 40

-30x + 31.5x = -40 - 32

1.5x = -72

x = -72/(1.5)

x = -48

what's the value of x and y?​

Answers

Answer:

x = 45 and y = 90

Step-by-step explanation:

Let the third angle be z

z = 180 - 135 (Linear Pair)

z = 45

Since its an iscosceles triangle,

<z = <x (angles opposite to equal sides have equal angles)

<x = 45 degree

<z + <x + <y = 180

45 + 45+ <y = 180

90 + <y = 180

<y = 180 - 90

<y = 90

Therefore x = 45 and y = 90

Hope u understood please mark as brainliest

Thank You

Answer:

x= 45°

y= 90°

Step-by-step explanation:

x= angles on a straight line add up to 180°. 180°-135° = x.

y= x+y=135° & x =45°

135°- 45° = y

whats the correct equation to solve for x

Answers

Answer:

12x - 29 + 4x + 1 = 180

Step-by-step explanation:

(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then

12x - 29 + 4x + 1 = 180 ← is the equation to solve for x

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

what is eight less than a number as an algebraic expression​

Answers

Answer: n-8

Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.

I hope this helps, have a nice day.

complete the remainder of the rule table for the given function rule:

y = -2x - 7


x: -6, -3, 0, 3, 6
y: 5, _, _, _, _

Answers

Answer:

x=-6

y=-2(-6)-7

y=5

x=-3

y=-2(-3)-7

y=6-7=-1

y=-1

x=0

y=-2(0)-7

y=-7

x=3

y=-2(3)-7

y=-6-7=-13

x=6

y=-2(6)-7

y=-12-7

y=-19

A functional rule is the relationship between an input or domain and an output or scope.

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

What is meant by function rule?

A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:

A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.

A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.

Let the given function be y = -2x - 7.

Where, x = -6

substitute the values in the above equation, we get

⇒ y = -2(-6) - 7

⇒ y = 5

Let the value of x = -3

substitute the values in the above equation, we get

⇒ y = -2(-3) - 7

⇒ y = -1

Put, x = 0

substitute the values in the above equation, we get

⇒ y = -2(0) - 7

⇒ y = -7

Put, x = 3

substitute the values in the above equation, we get

⇒ y = -2(3) - 7

⇒ y = -6 - 7 = -13

Put, x = 6

substitute the values in the above equation, we get

⇒ y = -2(6) - 7

⇒ y = -19

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

To learn more about Functions, refer to:

brainly.com/question/25638609

#SPJ2

How to factorise this question

Answers

Answer:

Step-by-step explanation:

90-2(a-3)^2

=88{(a)^2-2*a*3+(3)^2]

=88[a^2-6a+9}

=88a^2-528a+792

What is the volume of a hexagon of 6.2 cm 9 cm and 5cm ?

Answers

Multiply the 2 numbers

I NEED THIS ASAP


Solve for X

Answers

Answer:

x^2 = 10

x = square root symbol with 10 underneath

Or x = 3.16227 (round to appropriate place)

—————

x^3 = 316

x = cubed root symbol with 316 underneath

or x = 6.81128 (round to appropriate place)

I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.

What is the first step you will use to solve this equation:

4x +2 = 7x - 13



A.Subtract 13 from both sides


B.Add 7x to both sides


C.Add 2 to both sides


D.Subtract 4x from both sides

Answers

Answer:

E.? subtract 2 on both sides

Step-by-step explanation:

the wording (to me) is mixed up for a and c

sry if its not correct

4x+2=7x-13
2+13=7x-4x
15=3x
15/3=x
5=x

On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F

Answers

Answer:

(A) -9 °F

Step-by-step explanation:

On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill

temperature only reached¼ of Sunday's wind chill temperature. What was the

lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F

Sunday temperature = - 36 °F

Monday temperature = ¼ of Sunday's wind chill temperature

Monday = 1/4 of - 36 °F

= 1/4 * -36 °F

= (1 * -36)/4 °F

= -36/4 °F

= -9 °F

Monday temperature = -9 °F

The correct answer is (A) -9 °F

You work at a public golf course. You have a budget of $300 for supplies for the month. The golf course can buy golf balls at a price of $0.80 each.
Write an inequality that states the number of golf balls you can buy at this price and still have $200 left in your budget for other items.


(please give nice clear real answers otherwise you will be reported, thank you soo much!)

Answers

Answer:

200 + 0.8x = 300

200 + 0.8x = 300

- 200 - 200

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

0.8x = 100

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

0.8 0.8

x = 125

Step-by-step explanation:

You have a TOTAL of 300 and want to spend it on the golf course. 200 MUST REMAIN in order to purchase other items. Golf balls are at a price of 0.8 EACH. The amount of golf balls that can be purchased is unknown so we can place x as the number of balls purchased for 0.8 each. (I bolded some words because it can help to how to set up an equation and where they should go. :D) I hope my explanation is clear enough for you to understand. I also solved the inequality above ^^^! I hope this helps!

Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinations. How many times will all 5 photos appear in all of the printed brochures? How do you know your answer is reasonable?

Answers

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

[tex]Copies = 2102[/tex]

[tex]Photos =5[/tex]

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

Identify the equation of the circle X that passes through (-3, -5) and has center (4, -7).

Answers

( x - 4 )^2 + ( y + 7 )^2 = 53

...................................................

Find an explicit rule for the nth term of the sequence.

-2, -8, -32, -128

Answers

Answer:

[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 8 ÷ - 2 = - 32 ÷ - 8 = - 128 ÷ - 32 = 4

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 4 , then explicit formula is

[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]

Log5(36)-Log5(9)

-
-
-


Condense following logarithms.

Answers

Given:

The expression is:

[tex]\log_5(36)-\log_5(9)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_5(36)-\log_5(9)[/tex]

It can be written as:

[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex]              [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]

[tex]\log_5(36)-\log_5(9)=\log_54[/tex]

Therefore, the simplified form of the given expression is [tex]\log_54[/tex].

What is the solution to the system of equations below?


2 x + y = 7 3 x + 2 y = 16

Answers

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

help me plzz plzzz plzzzz​

Answers

Answer:

60 degree

Step-by-step explanation:

a hexagon has a total sum of angles equal to 720

720/6 = 120

180-120 = 60

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