Using what you know about right triangle trigonometry, salt the triangle round the side to the nearest 10th and angle measures to the nearest degree.

PLEASE provide an explanation in your response :)

Using What You Know About Right Triangle Trigonometry, Salt The Triangle Round The Side To The Nearest

Answers

Answer 1

Answer:

Angle A = 49°  Angle B = 41°  Side AB = 30.5

Step-by-step explanation:

Let's work out Angle A and Angle B first. We are given AC and CB, therefore AB must be the hypotenuse as it is the longest side.

AC and CB must be the opposite and adjacent sides, therefore we can use tan(x) = Opposite/Adjacent for working out both Angle A and Angle B.

Angle A:

tan(A) = 23/20  For Angle A, CB (23) is the side opposite the angle and AC (20) is the side in between Angle A and the right angle, also the adjacent side.

A = [tex]tan^{-1}(\frac{23}{20})[/tex]  We do the inverse of tan here.

A = 48.9909131

A = 49°  Rounding to the nearest degree simply means to the nearest whole number.

Angle B:

tan(B) = 20/23  For Angle B, AC (20) is the side opposite the angle and CB (23) is the side in between Angle B and the right angle, also the adjacent side.

B = [tex]tan^{-1}(\frac{20}{23})[/tex]

B = 41.0090869

B = 41°

Side AB:

We can just use Pythagoras' Theorem here to work out AB, but I will also use trigonometry to show you how you can use both formulas. When I use trigonometry, I will only be using Angle A as an example.

Pythagoras' Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

AC = 20 = a

CB = 23 = b

[tex]20^{2} + 23^{2} = c^{2}[/tex]

929 = [tex]c^{2}[/tex]

c = [tex]\sqrt{929}[/tex]

c = 30.47950131

c = 30.5  Rounding to the nearest 10th simply means rounding to 1 decimal place.

Trigonometry: SOHCAHTOA

Angle A = 49°

AC = 20  I will use AC as our adjacent side instead of CB. They will both give us the same answer anyways.

AB will always be the hypotenuse in the given right-angled triangle.

cos(x) = Adjacent/Hypotenuse

cos(49) = 20/AB

ABcos(49) = 20  Here we multiply by AB, our hypotenuse.

AB = 20/cos(49)  Now we divide by cos(49)

AB = 30.48506173  As you can see here, this answer is different from the Pythagoras' Theorem one because we rounded our angle values, meaning out angle values aren't exact! Instead, use Pythagoras' Theorem here for more accurate results instead of Trigonometry.

AB = 30.5  They still give us the same answer in the end!

I hope this helps you!! ^-^


Related Questions

help out for these two questions please

Answers

Answer:

23 - A

24 - x = -3 and x = 1

Step-by-step explanation:

Hey There!

So if you didnt know the " zeroes" are the coordinates of where x=0

For the first one the zeroes would be 1 because that's where the line is at x=0

For the second one the zeroes would be x=-3 and x=1 because that's where x=0 if that makes sense

pls help Will give Brainliest

Answers

Answer: 15

Step-by-step explanation:

5x = 75

x = 15

Angles are the same since they are vertical angles

Is 121,031 divisible by 3?

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Yes but you get a decimal answer

help me pls thank u <3

Answers

The correct answer is A

John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an equation to determine the cost per tile, t.

Answers

Answer:

5x+40=100

Step-by-step explanation:

The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.

The total cost of a crate of floor tiles was $100 which had 5 boxes of floor tiles and each box contained 40-floor tiles. we have to determine the equation for the cost per tile, t.

What is the cost per tile?

Here, Cost per tile = $t

Per Box Contain 40 tiles.

So, Price for 1 box = [tex]\rm 40\times t[/tex]

and Total price of crate = [tex]\rm 40 \times t \times5[/tex]

Therefore,  [tex]\rm 40 \times t \times5=100[/tex]

[tex]\rm 200 \times t =100[/tex]

[tex]\rm t = \frac{1}{2}[/tex]

Hence, the cost per tile, t = 1/2.

The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.

Learn more about the linear equation here:

https://brainly.com/question/11897796

Can anybody help me?

Answers

Answer:

[see below]

Step-by-step explanation:

We are given the two points (0,3) and (2,0). We can use the slope formula to find the slope.

[tex]\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]

The slope is negative three-halves.

Since the point passes the point (0,3), 3 would be the y-intercept.

Hope this helps.

Please does anyone know the answer to this question??

Answers

9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

The center of a clock is at (0,0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at: 12:05 p.M.

Answers

Answer:

(5, 8.66)

Step-by-step explanation:

Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.

At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:

θ = 60°

[tex]tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)[/tex]

Since the minute hand is 10 inches long, hence:

[tex]\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5[/tex]

To find y, substitute x = 5:

y = 1.732(5) = 8.66

This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)

What is the slope of y = -4x – 3

Answers

Answer:

-4

Step-by-step explanation:

bc the equation is y=mx+b and m is y/x so -4

i really need help please ​

Answers

Answer:

Step-by-step explanation:

85/3

I need some help on this

Answers

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = [tex]\frac{6}{abc}[/tex]

Therefore, equation of the given function will be,

f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]


Please help !! I will give you brainliest!!

Explain each step you took to solve this question.

Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.

Answers

Answer:

angle MAT=48

Step-by-step explanation:

angle H = 44

angle M = 88

angle A = 48

triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= A

Match the reasons with the statements.

Answers

Answer:

top=3, middle=2, bottom= 1

Step-by-step explanation:

Top-3 middle-2 bottom-1

The graphs show the audience, in millions, of two TV shows as a function of the episode number. For the first show (top graph) pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.

Answers

Answer:

The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6

Step-by-step explanation:

someone 10 points...?​

Answers

Answer:

Frequently consuming unusually large amounts of food in one sitting and feeling that eating behavior is out of control is a binge eating disorder and a binge eating is when you eat a lot of snacks but u know how to control how much to eat.

Step-by-step explanation:

i forgot to make it an answer my bad

Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3

Answers

Answer:

The answer will be B

Step-by-step explanation:

I think that the answer would be b

Beach towels are on sale for $1.50 off of the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Use equations to determine the regular price of a beach towel.

Answers

Answer: $9.99

Step-by-step explanation:

From the question, we are informed that beach towels are on sale for $1.50 off of the regular price and that Ms. Ortiz buys 4 beach towels on sale for a total of $33.96.

The amount for each beach towel bought will be:

= $33.96/4

= $8.49

Since there's $1.50 off the normal price, that means the normal price for each will have been:

= $8.49 + $1.50

= $9.99

-2x-y=0, where x≤0

Find the 6 trigonometric functions

Answers

Answer:

very hard, why don't you search on internet

On a map. 1 inch equals 15 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities? ​

Answers

Answer:

90 miles

Step-by-step explanation:

The person who answered first explained it well, so I dont have to.

have a nice day :)

The product of five times p and seven times q is

Answers

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

Work out the surface area of this cylinder.
7 cm
12 cm​

Answers

Answer:

Total surface of CYLINDER=2 pierh

=2*22\7**7*7*12=528cm2

volume of CYLINDER=pier2h

= 22\7*7*7*12=1848cm3

MARK ME AS A BRAINLIEST

#keepstudying

#Brenier

simon is ironing shirts it takes him 15 minutes to iron 2 shirts how long would it take him to iron 26 shirts give your answer in hours and minutes

Answers

Answer:

3 hours 15 minutes

Step-by-step explanation:

Simon is ironing shirts it takes him 15 minutes to iron 2 shirts.

2 shirts = 15 minutes

1 shirt = (15/2) minutes

For 26 shirts,

[tex]26\ shirts = 26\times \dfrac{15}{2}\ min\\\\=195\ minutes[/tex]

or

Time = 3 hours 15 minutes

Hence, it will take 3 hours 15 minutes to iron 26 shirts.

factor 5x^3 - 2x^2 using the GCF

Answers

Answer:

x^2(5x-2)

Step-by-step explanation:

The gcf of the whole expression is x^2. You then factor out it from the expression to get x^2(5x-2)

given:2y-1/-3=-5 prove:y=8

Answers

Answer:

2y + 1/3 = 5

2y = -5 -1/3

2y = -16/3

Y = -8/3

Step-by-step explanation:

im pretty sure thats the answer but good luck!

An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

The answer is 35.1 cm².

Hope this helps; have a great day!

What is the area of this figure?​

Answers

Answer:

[tex]\Huge\boxed {A =859ft^{2} }[/tex]

Step-by-step explanation:

Hello There!

To solve for the area of this figure we need to split the figure into 3 different parts:

A rectangle with a length of 9 ft and a width of 7 ft

a rectangle with a width of 9ft + 7ft and a length of 25 ft

a rectangle with a width of 18 ft and a length of 22 ft

To find the area of a rectangle we use the formula

[tex]A=w*l[/tex] where w = width and l = length

for the first one we plug in the values

A = 9 * 7

9 * 7 = 63 so the area of the smallest rectangle  is 63ft²

Now lets find the area of the larger rectangle

The dimensions are l = 25 ft and w = 9 + 7 (16 ft)

Now we can plug in the values into the area formula

A = 16 * 25

16*25=400 so the area of the larger rectangle is 400 ft²

Now lets find the area of the last rectangle

The dimensions are l = 22 ft and w = 18 ft

now lets plug in the values to the formula

A = 22 * 18 =396

so the area of the last rectangle is 396 ft²

Finally we want to add all of the areas together

396 + 400 + 63 = 859

So the area of the figure is 859 ft²

859ft .................,,,.,,.

Which of the following describes the roots of the polynomial function ix) = (x+2)?(x-4)(x+1)3?
Help fast

Answers

Step-by-step explanation:

2 with multiplicity 2, -4 with multiplicity 1, and 1 with multiplicity 3.

I need Help, Will give Brainliest to first person to answer

Answers

Answer:

- 26

Step-by-step explanation:

The volume (V) is calculated as

V = lwh ( l is length, w is width, h is height ), then

V = 2x(3x + 1)(5x - 6) ← expand the factors using FOIL

   = 2x(15x² - 13x - 6) ← distribute parenthesis by 2x

   = 30x³ - 26x² - 12x

The second term is - 26x² with coefficient - 26

Which equation represents a line which is parallel to the line 4x-5y=30

Answers

this question is incomplete

I'm doing my homework and I forgot how to do these

Answers

Answer:

9 - 15/2

10 - 9

11 - 16/3

12 - 5/6

Step-by-step explanation:

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