Find the value of x to the nearest degree.

A. 35
B. 28
C. 51
D. 55

Find The Value Of X To The Nearest Degree. A. 35 B. 28 C. 51 D. 55

Answers

Answer 1

Answer:

A

Step-by-step explanation:

First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:

[tex]\tan(x)=opp/adj[/tex]

The opposite side is 20 while the adjacent side is 14.

Plug in the numbers. Use a calculator:

[tex]\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree[/tex]

Edits: Improved Answer. Removed Wrong Answer.

Answer 2

Answer:

55

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan x = 20/14

Taking the inverse tan of each side

tan ^-1 tan x = tan ^ -1 (20/14)

x =55.0079798

To the nearest degree

x = 55


Related Questions

A spinner contains 3 equal sections: one red, one yellow, and one blue. The possible results of two spins are shown in the tree diagram below. What is P(red, then yellow)?

Answers

1/9

3 x 3 = 9 (since it is spun twice)

1/9

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

Answer:

1/9

Step-by-step explanation:

Probability of spinning a red =  1/3

Probability of spinning a yellow = 1/3

So Probability of getting red and then yellow = 1/3 x 1/3 = 1/9

solve the equation
x/3+y/4=4

Answers

Answer:     [tex]y=-\dfrac{4}{3}x+16[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]

Someone please helppp

Answers

Answer:

Option B is the right answer.

Step-by-step explanation:

x ^2 -7x+12 = (x-4)(x-3)

so, if we put x=3 or 4 than it will be undefined. hope u understand.

Determine if the ordered pair (6, 4) is a solution to the inequality

Answers

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Y+y+y+y rewrite in multiplication

Answers

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

an obtuse angle is an angle which is _______

Answers

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

the tripled product of 12 and a number is 102. what is the number​

Answers

Answer:

Step-by-step explanation:

Let

The known number = 12

The unknown number = x

Result = 102

Product of 12 and a number= 12*x

= 12x

Tripled product of 12x= 3(12x)

=36x

36x = 102

Divide both sides by 36

x = 102/36

= 2.833

x=2.833

What is the GCF of 12a^4b^2 - 3a^2b^5 ??

Answers

GCF for the numerical part is 3 .

hope it helps~

2. A person's height is 73 inches. How
would you convert this height to feet
using a conversion factor?
a.
73in 12 in
ift
1
b.
73in ift
1
12in

Answers

Answer:

6.08 ft  

Step-by-step explanation:

In this problem we are expected to do unit conversion from inches to feet.

from table we can see that

if           1 inches is 0.0833333 ft

then      73 inches will be x ft

By cross multiplication we can solve for the value of x which is

]x= 6.08 ft  

Hence the person is  6.08 ft    tall

E campsite shop also sells boxes of Pick-Me-Up teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf.

Answers

Answer:

The maximum number of boxes that will fit on the shelf = 189 boxes

Step-by-step explanation:

First, to harmonize the units of the dimensions given, let us convert the unit of the Pick-Me-Up teabags to cm.

1 cm = 10mm

1mm = 0.1cm

∴ 120mm = 0.1 × 120 = 12cm

Therefore, the base of each box is 12cm²

Next, let us calculate the area of the shelf.

Dimension of shelf = 65cm × 35cm

∴ Area of shelf = 65 × 35 = 2275cm²

Therefore, to calculate how many boxes will fit into the shelf, we will divide the area of the shelf by the area of the boxes of Pick-Me-Up teabag. This is shown below.

Area of shelf = 2275cm²

Area of boxes = 12cm²

Number of boxes that will fit on the shelf = Area of shelf ÷ Area of boxes

= 2275 ÷ 12 = 189.58 boxes

since there are no fractional boxes, we will round down to the nearest whole number of boxes.

Hence, the maximum number of boxes that will fit on the shelf = 189 boxes

Hello, a quick question which number is least to greatest 0.359, 0.35, 1

Answers

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

Can you help me solve this problem & write my answer in simplest radical form.

Answers

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

Help this needs to be answered

Answers

The equation of the linear function in slope-intercept form is  [tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of a linear function can be written in the slope intercept form as:

f(x) = mx + b,

where,

m represents the slope of the linear function

b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)

we need to find the value of m and b to be able to write the equation of the linear function.

Find slope (m):

From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).

Slope (m) = rise/run

Substitute:

Slope (m) = 3/6

m = 1/2

Find the y-intercept (b):

From the graph, the line cuts the y-axis at y = -5.

Therefore,

b = -5

Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:

[tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]

Learn more about how to write the equation of a linear function here:

https://brainly.com/question/12184348

Need help pleases 5 stars

Answers

Answer:

The third option is the correct answer

Step-by-step explanation:

I am a 100% sure.

Hope this helps....

Have a nice day!!!!

Donald has a bunch of nickels and dimes in his piggy bank. There are 100 coins in the bank that make a total of $6.60 in change. If n is the number of nickels and d is the number of dimes, how many of each type of coin does Donald have?

Answers

Answer:

78 nickels and 22 dimes

Step-by-step explanation:

Nickels = n, Dimes = d

Number of coins = 100

n + d = 100

Total sum in the piggy bank = $6.60

5n + 10d = 660

Consider the first equation in the second:

5(100 -d) + 10d = 660500 - 5d + 10d = 6605d = 110d = 110/5d = 22n = 100 - 22n = 78

Answer: nickels 78 and dimes 22

Answer:

78 nikes and dimes 22

solving these linear equations simultaneously, x = 22y = 8z= 11hence the answer is B. 11

Step-by-step explanation:

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

Graph the solution to the following linear inequality in the coordinate plane 5x-y>-3

Answers

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

      -y > -5x  -  3

       y < 5x + 3

2. Plot a few points for the "y =" line

I chose

[tex]\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}[/tex]

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<",  to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

answer it answer it answer it

Answers

Answer:

22.5º

Step-by-step explanation:

The angle of one shaded part and one unshaded part is 90º

We have shaded part ([tex]s[/tex]) and unshaded part ([tex]u[/tex])

[tex]90\º = u+s[/tex]

[tex]$u=\frac{s}{3} $[/tex]

[tex]$90\º = \frac{s}{3} +s$[/tex]

[tex]$90\º = \frac{s}{3} +\frac{3s}{3} $[/tex]

[tex]$90\º = \frac{4s}{3} $[/tex]

[tex]$270\º = 4s $[/tex]

[tex]s=67.5\º \implies u=22.5\º[/tex]

Answer: 22.5º

Step-by-step explanation:

The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.

Answers

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Which graph shows a linear function?

Answers

Answer:

the bottom

Step-by-step explanation:

Answer: the second one

Step-by-step explanation:

find the difference 4 - 15

Answers

first 15- 4= 11

in question they gave 4-15 so

-11

tìm 2 số liên tiếp biết tích của chúng là 9120

Answers

Câu trả lời

Số một = 95

Số hai = 96

Giải thích

Số một = x

Số hai = x + 1

x * (x + 1) = 9120

x ^ 2 + x - 9120 = 0

 

(x + 96) (x - 95) = 0

x = 95 (-96 không có câu trả lời)

Số một = 95

Số hai = 96

(Xin lỗi nếu văn bản xấu, tôi đang sử dụng công cụ dịch thuật)

Solve for m 5m+35=70

Answers

Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

[tex]5m+35=70[/tex]

subtract 35 on both sides

[tex]5m+35-35=70-35[/tex]

[tex]5m=35[/tex]

divide 5 on both sides

[tex]35/5=7[/tex]

[tex]m=7[/tex]

What is the length of LM? (Question and answer choices provided in picture.)

Answers

Answer:

24√3

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Step 1: Use cos∅

cos30° = LM/48

Step 2: Multiply both sides by 48

48cos30° = LM

Step 3: Evaluate

LM = 24√3

Answer:

[tex]\large \boxed{24 \sqrt{3} }[/tex]

Step-by-step explanation:

The triangles are right triangles. We can use trig functions to solve.

cos θ  = adj/hyp

Take the triangle KLM.

cos 30 = LM/KL

cos 30 = LM/48

Multipy both sides by 48

(48) cos 30 = LM/48 (48)

Simplify.

48 cos30 = LM

24√3 = LM

3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)

Answers

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

Trying the points

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

Answer:

x = -2

y = 5

then:

B) (-2,5)

Step-by-step explanation:

3x + 4y = 14

x = 2y - 12

from te firs equation:

3x = 14 - 4y

x = (14-4y)/3

then:

2y - 12 = (14-4y)/3

3(2y-12) = 14 - 4y

3*2y + 3*-12 = 14 - 4y

6y - 36 = -4y + 14

6y + 4y = 14 + 36

10y = 50

y = 50/10

y = 5

from the second equation:

x = 2y - 12

x = 2*5 - 12

x = 10 - 12

x = -2

Check:

from the first equatión:

3x + 4y = 14

3*-2 + 4*5 = 14

-6 + 20 = 14

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2

Answers

Answer:

x = ±4

Step-by-step explanation:

4x^2 = 64

Divide each by 4

4x^2 /4= 64/4

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

[tex]\boxed{\boxed{x=\pm 4}}[/tex]

Step-by-step explanation:

[tex]4x^2 = 64[/tex]

Divide both sides by 4.

[tex](4x^2)/4 = 64/4[/tex]

Simplify.

[tex]x^2 =16[/tex]

Take the square root on both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{16}[/tex]

Simplify.

[tex]x=\pm 4[/tex]

Can someone please explain the answers?

Answers

Answer:

3. Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics: One to five roots. Zero to four extrema.

4. x = -5 or x = 0 or x = 5

Step-by-step explanation:

Solve for x:

6 x^5 - 150 x^3 = 0

The left hand side factors into a product with four terms:

6 x^3 (x - 5) (x + 5) = 0

Divide both sides by 6:

x^3 (x - 5) (x + 5) = 0

Split into three equations:

x - 5 = 0 or x^3 = 0 or x + 5 = 0

Add 5 to both sides:

x = 5 or x^3 = 0 or x + 5 = 0

Taking cube roots gives 0 times the third roots of unity:

x = 5 or x = 0 or x = 0 or x = 0 or x + 5 = 0

Subtract 5 from both sides:

x = 5 or x = 0 or x = 0 or x = 0 or x = -5

There are {2} duplicate solutions:

Answer: x = -5 or x = 0 or x = 5

What is the maximum degree of a reflex angle​

Answers

Answer:

Less than 360 degree

Step-by-step explanation:

I think so

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