Solve for x. Round to the nearest tenth of a degree, if necessary.

Solve For X. Round To The Nearest Tenth Of A Degree, If Necessary.

Answers

Answer 1

Answer:

[tex]x\approx 49.6^{\circ}[/tex]

Step-by-step explanation:

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

For angle [tex]x[/tex]:

Opposite side is 40Adjacent side is 34

Therefore, we have:

[tex]\tan x^{\circ}=\frac{40}{34}[/tex]

Take the inverse tangent of both sides to solve for [tex]x[/tex]:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]


Related Questions

A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.

Answers

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

I need helppp someone e
Help me pls

Answers

Step-by-step explanation:

s ask me what's your question I can help u

A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.

Answers

Answer:

x = length of the rectangle = 24 m

Perimeter of the field = 80 m

Area of the field = 384 square meter

Step-by-step explanation:

Width of the rectangle = 16 m

Ratio of the length and width = 3:2

Let

x = length of the rectangle

Ratio of the length and width = x : 16

Equate both ratios

x : 16 = 3 : 2

x/16 = 3/2

Cross product

x * 2 = 16 * 3

2x = 48

x = 48/2

x = 24

x = length of the rectangle = 24 m

Perimeter of the field = 2(length + width)

= 2(24 m + 16 m)

= 2(40 m)

= 80 m

Perimeter of the field = 80 m

Area of the field = length × width

= 24 m × 16 m

= 384 m²

Area of the field = 384 square meter

Find the area of the compound shape​

Answers

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

Please help me! ❤️ I got stuck on this and really need some help

Answers

Answer:

0,-4

-2.65,2.62

2.65,2.62

Step-by-step explanation:

[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]

[tex]y = x^2 - 4[/tex]

-4, 3.0225

[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]

PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!

Answers

Answer:

2/60 = 1/30 = 3.3%

Step-by-step explanation:

I need help please!!!

Answers

Answer:

Isosceles triangle

The figure shows a parallelogram inside a rectangle outline:

What is the area of the parallelogram?

Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answers

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

============================================================

Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

-----------

A slightly longer approach would have you follow these steps

Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.

help leee plzzzzzzzbbbnbbbb

Answers

The solution is where the two lines intersect.
the answer would be d i think

**who can help me**

Answers

Answer:

.

Step-by-step explanation:

Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?

Answers

Answer: Approximately 5.22%

========================================================

Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

what's the answer for 36x² - 84xy + 49y²​

Answers

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

What is the vertex of the quadratic function below?
y = x2 + 12x - 7

Answers

Answer:

(6,101)

Step-by-step explanation:

x value of vertex is given by b/2a in quadratic.

b=12 and a=1

that gives you a 6, then plug in x=6 in the quadratic equation and that gives you

y=101

x + y = 15
5x - y = 9
Elimination method

(4, ? )

what number is the ?​

Answers

The ? Is 11.


You add the equations to get rid of one variable, then you have 6x=24 then you divide both sides and you have x=4, then you substitute the given value of x and you are left with 5*4 - y = 9. And the solution or well possible solution is y = 11 which gives youuuuu. (x , y) = (4 , 11)
4 + y = 15....1
20 - y = 9.....2

....1*5
20 + 5y = 75....3

....3 - .....2
4y = 60
y = 15

the answer for (?) is 15
i’m not sure if this 100% correct but i’m trying my best to help you

Which best describes the vertex of the graph?


a (-3, -4)
b (-3, -4)
c (3, -4)
d (3, -4)

Answers

Answer: C

Step-by-step explanation:

C. Is the answer for sure

Find the measure of the indicated angle.

Answers

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet

Answers

Answer:

1344.

Step-by-step explanation :

.

The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A jet travels 832 km in 5 hours.

Then the speed of the jet will be

Speed = 832 / 5

Speed = 166.4 km per hours

If the jet fly for 12 hours, then the distance cover will be

Distance = Speed x Time

Distance = 166.4 x 12

Distance = 1996.8 km

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Please help I don’t understand

Answers

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Someone help me please

Answers

Answer:

(x + 10)(2x + 5)

Step-by-step explanation:

Given

2x² + 25x + 50

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 2 × 50 = 100 and b = 25

The factors are + 20 and + 5

Use these factors to split the x- term

2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )

= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term

= (x + 10)(2x + 5)

what shape is this cause I'm having a bit of trouble?​

Answers

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

I think that’s a square because it has 4 equal sides

¿Cuál es el capital que necesito, si quiero obtener una ganancia de $9745 en 5 meses aplicando una tasa del 6,3?

Answers

Answer:

The capital is $ 309365.

Step-by-step explanation:

What is the capital that I need, if I want to obtain a profit of $ 9745 in 5 months applying a rate of 6.3?

Let the capital is P.

Simple interest, I =$ 9745

Rate, R = 6.3 %

Time, T = 5 months

Use the formula of the simple interest.  

[tex]9745=\frac{P\times 6.3\times 5}{1200}\\\\P = 309365[/tex]

The a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49

Answers

Answer:

d. p - 15 = 49

Step-by-step explanation:

p = original price

The price was reduced by 15 dollars.

The new price is p - 15.

The new price is 49.

p - 15 = 49

Answer: d. p - 15 = 49

If the angle of a triangle are in the ratio 1:2:3, determine the 3 angles

Answers

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40

Answers

Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

What is the solution of 5/2x-7=3/4x+14

Answers

Answer:

D. x = 12

Step-by-step explanation:

if you plug 12 in

the solutoon says 23 = 23 which is correct

Answer:D 12

Step-by-step explanation:

I took the test

Solve........................​

Answers

Hello,

here is the picture:

Slope (PR):

[tex]m=\dfrac{2-4}{6-2} =-\dfrac{1}{2} \\Slope\ of\ the\ perpendicular: -\dfrac{1}{\dfrac{-1}{2} } =2\\\\perpendicular\ is\ passing\ trought\ M(4,3): y-3=2(x-4)\\y=2x-5\\If\ y=0\ then\ x= \dfrac{5}{2} \\Q=( \dfrac{5}{2},0)\\[/tex]

HELP PLEASE !!!!
create diagrams to represent the possible causes for common tangents between two circles. your diagram can be created using multimedia sources or drawn by hand. they should not be copied and pasted from a website. explain why your diagrams satisfy the given criteria.

no common tangents
diagram
justification​

Answers

Answer:

justification: A tangent is defined as "a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point." As you can see in the diagram, the line does not extend, which means there are two common tangents. (this is actually a diagram for two common tangents im pretty sure. wouldnt make since otherwise)

Calcule as expressões:
a) (-1/2)² + 2/5 =
b) (-1/2)³ + 1 =
c) (2/5)² x (-1/2)³ =
d) 2 x (-1/3)² - (1/2) =
e) 1 + (+2/5) – ( ½)² =

Answers

Step-by-step explanation:

a, 1/4+2/5=13/20

b,-1/8+1=7/8

c, 4/25×-1/8=-1/50

d, 2×1/9-1/2=2/9-1/2=-5/18

e, 1+2/5-1/4=7/5-1/4=23/20

9. Consider the line y = 4x+9. If a second line is perpendicular to this one, what is its slope? please show your work, i will mark brainliest!

Answers

Answer:

Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]

Step-by-step explanation:

If two are lines are perpendicular to each other,

the product of their slopes = - 1 .

That is ,

      [tex]m_ 1 \times m_2 = -1[/tex]

Slope of the given line :

[tex]m_ 1 = 4[/tex]

Hence slope of the line perpendicular to it :

                                                                [tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]

The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 4x + 9   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = 4

Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1

So , m₁ x m₂ = -1

4 x m₂ = -1

Divide by 4 on both sides of the equation , we get

m₂ = -1/4

Therefore the value of m₂ is -1/4

Hence , the slope of the line is m₂ = -1/4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28

Answers

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

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