Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a​

Find The Length Of AC. Round Your Answer To Two Decimal Places. A 10 In. B 40 C B A

Answers

Answer 1

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

[tex]\sin{40^\circ} = \frac{b}{10}[/tex]

[tex]b = 10 \times \sin{40^\circ}[/tex]

Using a calculator:

[tex]b = 6.43[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675


Related Questions

Two cars leave New York at the same time traveling in opposite directions. One travels at an average speed of 59mph and the other at 58mph. In how many hours will they be 468 miles apart?

Answers

Answer: In 4 HOURS they will be 468 miles apart.

Step-by-step explanation:

1st car DATA:

rate = 59 mph ; time = x hrs. ; distance = 59x miles

2nd car DATA:

rate = 58 mph ; time = x hrs. ; distance = 58x miles

EQUATION:

distance + distance = 385

59x + 58x = 468

117x = 468

x = 4 hours.

here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem the choices are 21-9=11 29+9=30 what is the correct answer but my answer came to 21+9=30 all it said is change it to a addition problem​

Answers

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

How many 1/4 inches are in 3 inches? Draw a diagram to demonstrate your answer.​

Answers

Answer:

12

Step-by-step explanation:

14) Select all of the equations for which
x=3 is a solution.
18
A) = 6
6
B) x2=9
C) 5x = 15
D) 32 - x = 35
E) 202 + x) = 12

Answers

Answer:

D

Step-by-step explanation:

it is d because you have to subtract that to get 35

51
G
F
H
E
-3
0
A
D
В
C
A. Reflection across the x-axis followed by reflection across the y
axis
B. Rotation of 90° clockwise about the origin
across the x-axis

Answers

Answer: A

Step-by-step explanation:

Straight away, we can see there is some sort of reflection over the y-axis.

Eliminate B and D.

Then, we can see that, there is a reflection over the x-axis.

Eliminate C.

This matches up with A.

Martin jogged around the lake in 114
hour. Esperanza jogged around the lake in 56
hour. How much longer did Martin take than Esperanza in hours?

Answers

Answer:

58 Hours

Step-by-step explanation:

Given:

Martin~114 hours

Esperanza~56

Explanation:

The questions asks "How much longer". When this is asked, we know that we must subtract.

114-56=58

Answer: 58


To find the answer you subtract 56 from 114 which gives you 58. Therefore the answer is 58.

114-56=58
Answer:58

Find the value of xx, yy, and zz, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

Simplify this expression.

2+. 3. 5-

Answers

Answer: B, because when we factor in each term it all checks out

A legend reads 1cm:15cm. If the scale drawing shows a ball that is 10cm in diameter, then what is the diameter of the ball in real life?

Answers

The diameter of the ball in real life given the scale of the drawing is 150cm.

What is the scale of the drawing?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing = original dimensions / dimensions of the scale drawing

10cm x 15 cm - 150cm

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Base 10 refers to which number system?​

Answers

Answer:

Base 10 is always the decimal system which is from (0-9).

Choose the symbol that correctly compares these numbers.
56.248 ? 56.246
A.
=
B. >
C. <
Help pls!

Answers

Answer:

Answer is B cuz the former no. is bigger than the latter

Identify the range of the function shown in the graph

Answers

Answer:

[-1, 1]

Step-by-step explanation:

The range will be all y-values that the function reaches. Here, we see that the function is periodic which goes through a pattern of waves. It will go forever in both directions of the x-axis. However, in the y-dimension, it ranges from -1 to 1. It will have brackets as it touches 1 and -1 instead of approaching.

Increase 400 by 10% and then decrease the answer by 10%

Answers

Answer:80

Assume the number to be 400 for instance,

10% of 400 increased = 400 + ( 10/100 × 400 )

= 400 + 40 = 440

The resulting number decreased by its 10% = 400 - (10/100 × 400)

= 400 - 40 = 360

Now, net decrease = 440 - 360 = 80

Answer:

400.

10% of 400 is 40 (Simply reduce the hundreds place to the tens place)

So now we have 440.

Decrease it by 10% again, and that brings you right back to 400.

Find the difference of the complex numbers.
(7 +3i)-(3-7i)
O A. 4 + 10i
O B. 10-4i
O C. 4- 4i
O D. 10 + 10i

Answers

Answer:

A) 4+10i

Step-by-step explanation:

(7+3i)-(3-7i)

7+3i-3-(-7i)

7+3i-3+7i

7-3+3i+7i

4+3i+7i

4+10i

Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters

Answers

Answer:

5.928 liters is the correct answer

Step-by-step explanation:

Since 1 milliliter is 0.001 liters

Multiply both values by 5928.

   1 x 5928 equals 5928     0.001 x 5928 = 5.928

Therefore... 5928 milliliters equals 5.928 which is letter D

Answer:

The answer is 0.5928 liters

Step-by-step explanation:

1 liter is made of 1000 milliliters

So 5,929 ÷ 1000

gives us 0.5928

WRITE Math Write two ways you could use to find 5 + 8.​

Answers

Answer:

8+5 and 8--5

Step-by-step explanation:

minus and minus is plus and 5+8 =8+5


Determine the value of the expression -3.75 +4.35 -6.55.

Answers

-3.75 +4.35 -6.55

-3.75 + 4.35 = 0.6

0.6 - 6.55 = - 5.95

- 3.75 + 4.35 - 6.55 = - 5.95

Help Me On This Plss!!​

Answers

Answer:

1) In fig. (1) there are 2 shapes:

A Rectangle A triangle

So,

Area of Rectangle = l × b

where,

length (l) = 12 cm breadth (b) = 14 cm

➮ 12 × 14

➮ 168

Hence, the area of rectangle is 168cm².

Now,

Area of Triangle = ½bh

where,

base (b) = 8 cm height (h) = 12 cm

➮ ½ × 8 × 12

➮ ½ × 96

➮ 48

Hence, the area of triangle is 48cm².

Thus, Area of the whole fig. :

Area of Rectangle + Area of Triangle

➮ 168 + 48

216cm² (Ans)

2) In fig. (2) there are also 2 shapes :

A SemicircleA Rectangle

So,

Area of Semicircle = ½ (π)

where,

pi (π) = 3.14 radius (r) = 5 inches

➮ ½ × 3.14 × (5)²

➮ ½ × 3.14 × 25

➮ ½ × 78.5

➮ 39.25

Hence, the area of semicircle is 39.25 in².

Now,

Area of Rectangle = l × b

where,

length (l) = 10 inchesbreadth (b) = 15 inches

➮ 10 × 15

➮ 150

Hence, the area of rectangle is 150 in².

Thus, Area of whole fig. :

Area of Semicircle + Area of Rectangle

➮ 39.25 + 150

189.25 in² (Ans)

[tex]\bold{\huge{\underline{ Solutions }}}[/tex]

Figure 1 :-

Given :-

We have one composite figure that is composed rectangle and triangle The dimensions of rectangle are 12 cm and 14 cmThe dimensions of triangle are 12cm and 8cmTo Find :-

We have to find the area of composite figure

Let's Begin :-

We have,

Composite figure composed of rectangle and triangle

We know that,

Area of rectangle

[tex]\bold{ = Length {\times} Breath}[/tex]

The dimensions of rectangle are 12cm and 14cm

Subsitute the required values,

[tex]\sf{ = 12 {\times} 14}[/tex]

[tex]\sf{ = 168 \: cm^{2}}[/tex]

For triangle

Area of triangle

[tex]\bold{=}{\bold{\dfrac{ 1}{2}}}{\bold{ {\times} b{\times}h}}[/tex]

Subsitute the required values,

[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times}8{\times}12}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times} 96}}[/tex]

[tex]\sf{ = 48 \:cm^{2}}[/tex]

Thus, Area of triangle is 48 cm² .

Therefore,

The total area of the composite figure

= Area of rectangle + Area of triangle

[tex]\sf{ = 168 + 48}[/tex]

[tex]\bold{ = 216\: cm^{2}}[/tex]

Hence, The area of given composite figure is 216 cm²

Figure 2 :-

Given :-

We have one composite figure which is composed of semicircle and rectangle The dimensions of rectangle are 10 in. and 15 in. The diameter of semicircle is 10 in.

Let's Begin :-

Here, we have

Composite figure composed of rectangle and hemisphere

We know that,

Area of rectangle

[tex]\bold{ = Length {\times} Breath}[/tex]

The dimensions of rectangle are 10in. and 15 in.

Subsitute the required values,

[tex]\sf{ = 10 {\times} 15}[/tex]

[tex]\sf{ = 150 \: cm^{2}}[/tex]

For hemisphere

Area of semicircle

[tex]\bold{ = 1/2{\pi}r^{2}}[/tex]

The diameter of hemisphere is 10 in. So, The radius of hemisphere will be 5 in. as it is the half of diameter.

Subsitute the required values,

[tex]\sf{ =}{\sf{\dfrac{ 1}{2 }}}{\sf{ {\times} 3.14 {\times} (5)^{2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}3.14 {\times} 25}}[/tex]

[tex]\sf{ = 1.57 {\times} 25}[/tex]

[tex]\sf{ = 39.25\: in^{2}}[/tex]

Thus, The area of semicircle is 39.25 in².

Therefore,

Total area of the given composite figure

= Area of hemisphere + Area of rectangle

= [tex]\sf{ = 150 + 39.25}[/tex]

[tex]\bold{ = 189.25\: in^{2}}[/tex]

Hence, The total area of the given composite figure is 189.25 in² .

If x2 + y2 + z2 = 9, dx dt = 3, and dy dt = 9, find dz dt?

Answers

Answer:

dz/dt = -(3x + 9y)/z

Step-by-step explanation:

x² + y² + z² = 9

2x dx/dt + 2y dy/dt + 2z dz/dt = 0

x dx/dt + y dy/dt + z dz/dt = 0

x * 3 + y * 9 + z dz/dt = 0

so

dz/dt = -(3x + 9y)/z

4. Find the measure of one exterior angle of a regular octagon.

Answers

Answer:

Solving method

360°÷8 (number of sides)

= 45°

Bob works at a café, where he earns $11 an hour. Which of the following graphs describes the amount of money that Bob earns after x hours?

Question 15 options:

A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=0, and increases by $11 for every 1 hour.


A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=11, and increases by $0.50 for every 1 hour.


A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=11, and increases by $11 for every 1 hour.


A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=0, and increases by $10 for every 1 hour.

Answers

Answer:

First one

Step-by-step explanation:

When he works 0 hr then he will make $0. So the line will intersect y axis at y= 0

He makes $11 an hr. So the earning increases by 11 for every 1 hr

Urgent!!! Simplify the complex rational expression?

Answers

Answer:

  (3x +2w)/(2x -3w)

Step-by-step explanation:

The usual rules for adding and dividing fractions apply:

  (a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator

  (a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"

__

  [tex]\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}[/tex]

The length of a rectangle is 6 inches more than the width. If the perimeter is 68 inches, what are the length and the width?

Answers

L= length
W= width
L= 6+w
P= 2(L + W)
68= 2(L+ W)
L+w= 34
(6+w) + w= 34
6 + 2w = 34
2w= 28
W= 14
L= 14+6 = 20
L= 20 AND W=14

Answer: The length of the rectangle would be 20 inches and the width would be 14 inches.

Step-by-step explanation:

If the length is 20, first, it’s 6 more than 14, and second it would add up to 40. If the width is 14, it’s 6 less than 20, and adds up to 28. If you add those two together, you’d get your total of 68 inches for the perimeter!

Please help me ASAP if tell me how you get the answer I will mark brainliest!

Its not hard im just tired
Done this review 6 times today and the reviews 50 questions

Answers

Answer:

y=4x-6

Step-by-step explanation:

That is how you would graph it.

Hope this helps!

The first step is to find any two sets of points on the line to find the slope. Let's use (0, -6) and (4,10).

   [tex]Slope=\frac{y2-y1}{x2-x1} =\frac{10--6}{4-0} =\frac{16}{4} =4[/tex]

Ok, now we found the slope. Now let's put it into the point-slope form which requires any one point on the line and the slope. Lets use the point (0,-6)  

        [tex](y-y0)=m(x-x0)\\(y+6)=4(x-0)\\y=4x-6[/tex]

The last equation is the slope-intercept form.

Hope that helped!

 

What is 8/9 of 3/8?
A. 11/72
B. 2/7
C. 1/3
D. 3/7

Answers

If you are talking about Multiplying them together then it’s 1/3 because you go 8x3
And 9x8 which makes 24/72 simply and then you get 1/3

Answer:

1/3

Step-by-step explanation:

The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values.

Answers

There is one input being mapped into two different outputs, so this is not a function. The correct option is D.

What is a function?

A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.

In this case, the table is:

Gallons of Gas Used: 12 15 18 12 14 16Miles Driven: 300 400 450 350 400 450

So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.

So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.

If you want to learn more about functions, you can read:

https://brainly.com/question/13136492

Draw a model of 1/2 ÷ 4

Answers

Answer:

1/2 split into 4 parts

Step-by-step explanation:

i cant draw it

median of 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13

Answers

Answer:

13

Step-by-step explanation:

Given:

13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13

To Find:

Median

Note:

Finding Median:

⇒ Arrange data values from lowest to highest value

⇒ The median is the data value in the middle of the set

⇒ If there are 2 data values in the middle the median is the mean of those 2 values.

Solve:

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

As you can see now.. Median is 13

[RevyBreeze]

Answer:

Median Arrayed Data :From ascending order; 5,6,6,9,11,13,13,13,15,18,24,28,33,36,48

Now,

Median= n+1/2

=15+1/2

=16/2

=8

5,6,6,9,11,13,13,13,15,18,24,28,33,36,48

Median = 8 th term= 13.

Hence the median is 13.

2^3 + 4m divided by 2 when m = 1.5

help me pls

Answers

Answer:

The answer should be 7

Step-by-step explanation:

2³ = 8

4 x 1.5 = 6

8 + 6 = 14

14 ÷ 2 = 7

NO LINKS!! Solve each triangle. Please show work!!

1. a= 3, b= 4, C= 40°
2. a= 3, c= 2, B= 110°
3. a= 12, b= 13, A= 120°
4. a= 12, b= 13, c= 5​

Answers

For problems 1, 2, and 4, check out this link

https://brainly.com/question/27021415

as they were answered there earlier.

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

Problem 3

Answer: Not possible to solve

A triangle cannot be constructed with these parameters.

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

Explanation:

Use the Law of Sines to find angle B

sin(A)/a = sin(B)/b

sin(120)/12 = sin(B)/13

sin(B) = 13*sin(120)/12

sin(B) = 0.93819419

B = arcsin(0.93819419) or B = 180 - arcsin(0.93819419)

B = 69.75047247 or B = 180 - 69.75047247

B = 69.75047247 or B = 110.24952753

These angle values are approximate.

-----------

If B = 69.75047247, then,

A+B+C = 180

C = 180 - (A+B)

C = 180 - (120 + 69.75047247)

C = -9.75047247000001

We get a negative result which isn't valid.

This means B = 69.75047247 isn't valid either.

-----------

If B = 110.24952753, then,

A+B+C = 180

C = 180 - (A+B)

C = 180 - (120 + 110.24952753)

C = -50.24952753

We get a similar conclusion here as well.

-----------

No matter what value of B we go with, we end up with a negative value for angle C.

Negative angles are not allowed.

Therefore, we cannot construct a triangle with sides a = 12, b = 13 and angleA = 120 degrees.

This is one example of an SSA triangle leading to no possible solutions. Refer to the SSA ambiguous case for more info.

-----------

Check out the diagram below. Imagine that point B can be anywhere on the dotted circle. Imagine it can rotate around as in an animation. This circle is centered at point C and has radius a = 12. No matter where point B is placed, we cannot get it to land on the horizontal line to therefore form a triangle. Simply put: side a = 12 is too short.

I used GeoGebra to make the diagram and make sure it's to scale. This is to visually verify that we cannot construct such a triangle with these parameters.

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