determine the missing angle​

Answer is 2

Step-by-step explanation:

You may need to input the number only without the "degrees".

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

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Answer:

4.105000

Step-by-step explanation:

because you have to add up

9514 1404 393

Answer:

  42 cm²

Step-by-step explanation:

The attachment shows a couple of ways the figure can be considered.

a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...

  5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²

__

b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...

  5×10 -2×4 = 50 -8 = 42 . . . . cm²

__

The area of the irregular figure is 42 cm².

Answer:

A,D,E,

Step-by-step explanation:

Answer:

Hope that answers your question. The 3rd function has no solution

Answer: 5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

25*11=275

[tex]\sqrt{25}\sqrt{11}[/tex]

25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5

I think the answer is for

1 book (x = 1)

1150+25(1)= 1175

For 2 books (x - 2)

1150+25(2) = 1200

Next, to find the change in total cost, subtract these 2 answers:

1200 - 1175 = 25

Answer:

dam nvm the dud give out the answers

Answer:

10

Step-by-step explanation:

12x-10+8x-10=180. All horizontal lines equal 180 degrees. 12x+8x=20x. -10-10=-20. 20+180=200 200 diveded by 20 is 10

Answer:

5

Step-by-step explanation:

Answer: The answer is 13.5

Step-by-step explanation:

Answer:

B. 25

Step-by-step explanation:

30 + 35 + 10 = 75

100 - 75 = 25

Answer:

it's B (25%) players play the woodwinds.

Step-by-step explanation:

35% + 10% + 30%= 75%

100% - 75%= 25%

Answer:

158.3

Step-by-step explanation:

Answer: 56.25%

Step-by-step explanation: You would divide 18 over 32, which would get the decimal 0.5625. Then you would multiply this by 100/100 which would get 56.25/100. This would get you 56.25%.

Answer:

I'm pretty sure it's 1, 2, and 3, but I'm not positive

Answer:1 only solution

Step-by-step explanation:

If the discriminant is equal to 4, the number of solutions there are is; 2 solutions.

According to the question;

When the discriminant is a perfect square as in 4 above; Then the solutions to the equation are not only real, but also rational.

However, If the discriminant is positive but not a perfect square, then the solutions to the equation are real but irrational.

There are 2 rational solutions if the discriminant is equal to 4.

Read more:

https://brainly.com/question/23290274

Answer: b=

10.873127c2hn11t

4l

Step-by-step explanation:

Answer:

0.75 lb cause proportions

Answer:

C.

Step-by-step explanation:

A. The difference between the slowest and fastest is 4.238 secs

B. The team total is 55.115 secs

C. The last two swimmers took a total of 27.842 (correct)

D. The second swimmer was faster than the third by 1.767 secs

Answer:

Step-by-step explanation:

3 vegetarian pizzas cost 25.50. First we must find the cost of one vegetarian pizza.

25.5/3 = 8.5.

Each pizza costs $8.50. She bought 10 of them.

Now, we must multiply $8.50 by 10.

8.5x10 = 85.

$85 for all of the pizza.

Finally, subtract 85 from 100.

100-85=15.

You will receive $15 in change.

Answer:

Should be $15 change

Step-by-step explanation:

Since 3 pizzas cost 25.50 you times that by 3. Divide the 25.50 by 3 and add them two together. Take away that from the 100

Answer:

Answers: (4. = 3) (5. = 9) (6. = 20)

Answer:

x=-6/29

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(3x+2)−2=2(1−7x)

(5)(3x)+(5)(2)+−2=(2)(1)+(2)(−7x)(Distribute)

15x+10+−2=2+−14x

(15x)+(10+−2)=−14x+2(Combine Like Terms)

15x+8=−14x+2

15x+8=−14x+2

Step 2: Add 14x to both sides.

15x+8+14x=−14x+2+14x

29x+8=2

Step 3: Subtract 8 from both sides.

29x+8−8=2−8

29x=−6

Step 4: Divide both sides by 29.

29x/29=-6/29

x=-6/29

Answer:

The answer is y=5x

Step-by-step explanation:

Answer:

(-2.5,2)

Step-by-step explanation:

Answer:

area of the triangle =

[tex] \frac{(x - 4) \times (y + 2)}{2} [/tex]

let base be x and height y

hope it helped

PLS mark BRAINLIEST

Answer:

let height be x

base =2x+3

for new

height =x+2

base=2x+3-4=2x-1

area of new triangle=1/2_newbase×height

=1/2 (x+2)(2x-1) is required expression

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

Answer:

Hope that answers your question