find the measure of the indicated angle to the nearest degree​

Find The Measure Of The Indicated Angle To The Nearest Degree

Answers

Answer 1

Answer:

[tex]20^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.

Therefore, we have the equation:

[tex]\cos \theta=\frac{49}{52}[/tex]

Take the inverse cosine of both sides:

[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]

Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:

[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]


Related Questions

Can someone help me out

Answers

It equals 5? The markings means it’s equal right?

(2w+3x)(w-5x) - (3w+7x)(w-7x)

Answers

Answer:

-w²+49x²-8wx

Step-by-step explanation:

if you want how I did this it's quite lengthy so let me know if you want the process

Answer:

-w^2 + 21xw - 64x ^2

Step-by-step explanation:

PLZ HELP! Also, give an explanation. :)

Answers

Answer: First option (your selected answer)

Step-by-step explanation:

(rotating an object 360° will bring it to its original position)

(rotating an object 180° will turn it upside-down)

(rotating an object 90° will make it sideways)

(to calculate the scale factor, pick a point on both triangles that are of the same corner)

ex: A: (-12,12) and A': (4,-4)

(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')

[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]

(you multiply -1/3 to get the x and y value of the second triangle)

(though the provided options do not display the negative scale factor, the scale factor should be negative)

ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°

2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys

Answers

Step-by-step explanation:

between -5 and -62

-7,-10,-60...so..on

between -1/7 and 1/8

Multiply any number by number with both the numbers but it should be multiplied by both the numbers:

for example:

-1/7×3/3= -3/21 ; 1/8×3/3= 3/24

So,

-2/21,2/24,1/24

hope it helps

7x-3/4=x what is the process to answer fasttttttt please

Answers

Answer:

x= 1/8 is the correct answer

Answer:

1/8

Step-by-step explanation:

7x-x=3/4

6x=3/4

6x/6=3/4÷6

x=1/8

A giant and a dragon live next door to each other. The giant's house is 23 meters tall. His house is 35 meters shorter than the dragon's house.

Answers

The answer is
The dragon’s house is 58 meters tall

A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of cookies that can be made with the bag of sugar

Answers

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

Find the volume of the prism. Round to the nearest tenth.

Answers

Answer:

829.6

Step-by-step explanation:

Volume = sh

= (5+12) x 6.1 / 2 x 16

= 12 x 6.1/2 x 16

= 17 x 6.1 x 8

= 829.6 mi^3

Answered by Gauthmath

Can someone explain this / answer it? 18 POINTS + Brainliest

Answers

Answer:

I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.

Step-by-step explanation:

He has 18 m of wood and he has done:

8+8=16 1+1=2 16+2=18

7+7=14 2+2=4 14+4=18

6+6=12 3+3=6 12+6=18

5+5=10 4+4=8 10+8=18

So he has no more ways to use the 18 m of wood and has exhauseted all the ways.

Please mark brainliest

18. DEFG is a rectangle. Find the
length of each side.

Answers

hdxhjxjxjsndhxycyyxhdj

Answer:

DE=27

EF=13

DG=13

GF=27

Step-by-step explanation:

12x+3=5x+17

12x-5x=17-3

u'll get 14 then simply it by the numbe of X u'll get 2 then replace the X with the number

A car travels a distance of 800m in 40s find its speed

Answers

Answer:

the answer is 20m/s

Step-by-step explanation:

speed = distance/time which equals to speed = 800/40, so the answer is 20m/s

Answer:

20m /s

Step-by-step explanation:

Speed = [tex]\frac{Distance}{time}[/tex]

             [tex]= \frac{800}{40}=\frac{80}{4}= 20[/tex]

I think of a number I multiply it by 4 subtract by 6 and the divide by 5 if the answer is 10 what was the original number

Answers

Answer:

Step-by-step explanation:

(4x-6)/5 = 10

4x-6 = 50

4x = 56

x = 14

What is the domain of the function RX) = x2 + 3x + 5?
OA
all whole numbers
OB. all positive real numbers
Ос.
all Integers
OD. all real numbers

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

hi a little confused, please help 15 points

Answers

Answer:

#3

20tan(53) + 5 feet   OR    31.54 feet (rounded to nearest hundredth)

#4

6tan(32) feet    OR    3.75 km (rounded to nearest hundredth)

Step-by-step explanation:

#3

The horizontal line is at Chloe's eye level, which is 5 feet.

She looks up at an angle of 53 degrees, and is 20 feet away from the statue. This creates a right triangle that you can use basic trigonometry to solve.

Let's call the shorter leg (upper half of statue) as x and the longer leg (distance between Chloe and statue) is 20 feet. We are given the opposite and adjacent sides (from the given angle) so we can use tan.

tan = opp/adj, so tan(53)=x/20

If you plug 20 tan 53 into your calculator to find x, you get 26.54089643

But you have to add 5 feet to your answer because that is her eye level.

#4

The horizontal distance from airplane to raft is 6km, the angle of depression is 32 degrees from the airplane, and we are asked to find the altitude of the plane (x).

We are given an adjacent side and are tasked to find the opposite side, so we will use tan.

tan 32=x/6

Plug this  into your calculator and you get x=3.749216111 km.

Find the value of x.

Answers

r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn

can i get some help please

Answers

The sum of the interior angles in a triangle is 180 degrees.

72 + 35 + <1 = 180

107 + <1 = 180

<1 = 73 degrees

Hope this helps!

Answer:

<1 = 73

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

72+ 35+ <1 = 180

Combine like terms

107 + <1 =180

Subtract 107 from each side

<1 = 180-107

<1 = 73

1. 6/5 x 3/4
2. 2/3 x 8/5
3. 5/2 x 4/3

Answers

Answer:

hope this might help you

Answer:

1. 9/10

2. 16/15 or 1 1/15

3. 20/6 or 3 1/3

Step-by-step explanation:

Multiply one fraction’s numerator by the other fractions numerator over multiplying one fraction’s denominator by the other fraction’s denominator.

sin 0= 20/29. Find tan 0.

Answers

Answer: D) 20/21

Explanation:

Recall that sin(theta) = opposite/hypotenuse.

sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.

Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.

Once you determine that the adjacent side is 21 units long, we can then say,

tan(theta) = opposite/adjacent = 20/21

Answer:

D. 20/21

Step-by-step explanation:

What’s 304.9% as a decimal

Answers

Answer:

3.049

Step-by-step explanation:

will mark brainliest! PLEASE!

Answers

Answer:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Step-by-step explanation:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP​

Answers

Answer:

i think ..................

Step-by-step explanation:

society idsbwj ja

SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.

Answers

Answer:

The restrictions are x≠2,4,5

Step-by-step explanation:

First the denominators cannot be zero

x-2 ≠0  so x≠2

Then x-4 ≠0  so x≠4

Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero

2x-10≠0

2x≠10

x≠5

The restrictions are x≠2,4,5

show that x^2-y^2= (x+y)(x-y) with venn diagram ​

Answers

Answer:

[tex] \sqrt[]{ \frac{0}{0} } [/tex]

Explainion are shown in pictures above

The first term in an arithmetic sequence is 9 and the tenth term is 45. Use the first and tenth terms to find the sun of the first 10 terms. The equation of the sequence is an=4n+5

Answers

Answer:

270.

Step-by-step explanation:

If the first term = a and 10th term = a + 9d where d = the common difference.

a + 9d - a = 45 - 9

9d = 36

d = 4.

Sum of first 10 terms = (10/2)[2*9 + (10-1)*4]

= 5 * (18 + 36)

= 5 * 54

= 270.

find the missing side of the triangle.​

Answers

Answer:

2[tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

Because this is a right triangle, we have:

[tex]x^{2} + 3^{2} = 7^{2} (Pytago)\\x^{2} + 9= 49\\x^{2} =40\\x=\sqrt{40} \\x=2\sqrt{10}[/tex]

Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.

Answers

Answer:

11m

I did it by Geometry and used the scale : 1cm represents 5m

what is two plus two​

Answers

Step-by-step explanation:

2+2=4

two plus two is four

four is the answer

Step-by-step explanation:

2+2=4it's four (4)

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answers

D [tex]\bold{16x^{6}y^{10}z²}[/tex]

Answer:

John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.

[tex](4x^{3}y^{5}z)²[/tex]

remenber that square is for all

and power is multiplied

[tex]4²x^{3*2}y^{5*2}*z²[/tex]

[tex]16x^{6}y^{10}z²[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]

Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know ​I will mark you Brainliest

Answers

Let S be the sum of the integers 25-210:

S = 25 + 26 + 27 + … + 208 + 209 + 210

Let S₃, S₄, and S₁₂ denote the sums of the integers in S that are multiples of 3, 4, or 12, respectively. We'll also count how many terms each sum involves; it'll be useful later.

S₃ = 27 + 30 + 33 + … + 204 + 207 + 210 … … … (62 terms)

S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

S₄ = 28 + 32 + 36 + … + 200 + 204 + 208 … … … (46 terms)

S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

S₁₂ = 36 + 48 + 60 + … + 180 + 192 + 204 … … … (15 terms)

S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

Let's look at S₃ :

S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

By reversing the order of the sum, we get

S₃* = 3 (70 + 69 + 68 + … + 11 + 10 + 9)

Of course S₃ = S₃*, I'm just calling it something else temporarily. Notice that every term in the same position of either sum adds up the same number.

9 + 70 = 79

10 + 69 = 79

11 + 68 = 79

and so on. Then

S₃ + S₃* = 3 (79 + 79 + 79 + … + 79 + 79 + 79)

or

2S₃ = 3 × 62 × 79   ==>   S₃ = 7,347

We can compute the other two sums in the same way.

S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

S₄* = 4 (52 + 51 + 50 + … + 9 + 8 + 7)

==>   2S₄ = 4 × 46 × 59  ==>   S₄ = 5,428

S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

S₁₂* = 12 (17 + 16 +15 + … + 5 + 4 + 3)

==>   2S₁₂ = 12 × 15 × 20   ==>   S₁₂ = 1,800

Then the sum you want is

S₃ + S₄ - S₁₂ = 10,975

We subtract S₁₂ because each of its terms is counted twice (once in S₃ and again in S₄).

can anyone help with this? im confused

Answers

Circumference/ Pigreco = 22 / 3,14 = 7
So it’s letter A
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