Work out length AC.

10 cm
Not drawn
accurately

120
7 cm

Work Out Length AC.10 CmNot Drawnaccurately1207 Cm

Answers

Answer 1

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.


Related Questions

FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!!​

Answers

Answer: Answer is on first screenshot

Step-by-step explanation:

Question 2 of 10
What is the quotient of the following division problem?
89: 7 = ?
O A. 12r5
O B. 12 r4
O C. 11r5
O D. 14 r4

Answers

Answer:

A is correct:  12r5

Step-by-step explanation:

7 divides into 89 12 times with a remainder of 5.  Answer A is correct:  12r5

Which of the following is a square root of -18 ?

Answers

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

need help with this pls

Answers

Answer:

Hence y = (5k -3)/ (1 - k)

.... shown

can you please help me find X in this problem it is so confusing

Answers

Answer:

  x = 25°

Step-by-step explanation:

There are different ways to get there.

1.

The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.

That makes the angles along the line at the bottom be ...

  50° +x° +105° = 180° . . . . . the measure of a linear angle

  x° = 180° -155° = 25°

__

2.

The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...

  180° -105° = 75°

This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.

  75° = 50° +x°

  25° = x° . . . . . . . subtract 50°

__

3.

The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...

  x° +50° +105° = 180°

  x = 180° -155° = 25° . . . . as we had with our first approach

- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow ​

Answers

Answer:

x= -3/5

Step-by-step explanation:

-12>= -2x-15

add 15 to both sides 3>= -2xdivide by -23/-2=x

finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?

Answers

Answer:

true

Step-by-step explanation:

Pythagoras is simply c² = a² + b².

so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.

please help!

53°
44°
46°

Answers

Your answer is 217

Explanation: A whole circle is 360 so add 53 44 and 46 together and that’s 143 and then do 143-360= 217 and that’s your answer

PLEASE HELP TENTH GRADE GEOMETRY

Answers

Answer:

answer is 19............

800 students were surveyed to find out their favorite subject. 35% chose Math. How many students chose Math?

Answers

Answer:

35% of 800 = 280

...........

35 divided 100 of 800. Or
35% by 800 = 280

At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

Answers

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width

Answers

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

Make x the subject of the formula: y=x^{2} + 5

Answers

First, multiply both sides by (x - 5), so you end up with:

(x-5)y = x + 2

Which can be expanded to give you:

xy - 5y = x + 2

Now add 5y to both sides to obtain:

xy = x + 2 + 5y

Now subtract x from both sides:

xy - x = 2 + 5y

Factorise x out:

x(y - 1) = 2 + 5y

Divide both sides by (y - 1):

x = 2 + 5y/y - 1

There you go, x is now the subject.

Question Is In The Picture

Answers

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

please help asap

ty :)

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

Since the line is parallel, it has the same slope -- 3

y = 3x + b, sub point (1, 9)

9 = 3(1) + b

9 = 3 + b

b = 9 - 3

b = 6

y = 3x + b -- y = 3x + 6

Answer is y=3x+6

The slope remains the same as it’s parallel. Then replace the x and y with the coordinates (1,9) —> 9=3(1)+b and solve for b. B will equal to 6 and you just put it in y=Mx+b format.

How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars

Answers

Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Which is further 104km or 70 miles ? ​

Answers

Answer:

104 km is further than 70 miles.

Step-by-step explanation:

Using the conversion table, we can tell that 1 km = 0.62 miles. Now, let's see which is bigger.

=> 104 km ☐ 0.62 miles=> 0.62 x 104 ☐ 0.62 x 70 => 104 ☐ 70 => 104 > 70

Conclusion:

We can clearly see that 104 km is further than 70 miles.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Kinsey adds -1 7/8 and it's opposite

Answers

Answer:

0

Step-by-step explanation:

the opposite is 1 -7/8 when you add them together they cancel out to zero

I really really really need help with this

Answers

Answer:

404

Step-by-step explanation:

Simplify = 8 + 30 x 13 + 6

Left to right = 8 + 390 + 6

Result = 404

Leave a brainliest if this helped.

Answer:

404

Step-by-step explanation:

do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30

48 / 6 = 8

8 + (30 x 13) + 6 = 38

30 x 13 = 390

8 + 390 + 6 = 404

Maddie baked 7 brownies. 4 of the brownies had nuts on top. What is the ratio of the number of brownies without nuts to the total number of brownies?

Answers

3:7 because L + Ratio + One Piece better

Acar moves at a constant speed of 50 miles per hour. How long
does it take the car to go 200 miles?
O 250 hours
150 hours
O 4 hours
O 10,000 hours

Answers

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)
864

b)
865

c)
800

d)
850

Answers

Answer:

540 books

Step-by-step explanation:

It is given that Iqbal's shelf is 7/8 full ..

→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....

Similarly,

Sachin's shelf is 12/15 full.

→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....

→ Both total Empty = (1/8 + 3/15)

Taking LCM of denominator ,

→ (15+24 /120)

→ 39/120

→ 13/40 part is Empty in both .

Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .

So, we can say that :----

→ 13/40 part ---------------- 351

→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .

__________________

Now, since bookshelves of the same size and holding books of the same sizes ,,

→ Both have Books in Each = 1080/2 = 540 books .

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

W= 2

Step-by-step explanation:

Sherry is making a snack mix for a school field trip.
HELP
The recipe shows the amount of each ingredient needed to make 6 bags.
3 cups granola
1 cup raisins
1.5 cups almonds
0.5 cup cranberries
0.75 cup chocolate chips
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.

To make 18 bags of snack mix, Sherry needs _ cups of almonds.

Sherry needs 6 cups of granola to make _ bags of the snack mix.

If Sherry uses 1 cup of cranberries, she will need to use _ cups of raisins.

The recipe will make _ bags of the snack mix if Sherry uses only 1 cup of granola.

Answers

Answer:

4.5 cups, 12 bags

Step-by-step explanation:

Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5

If she uses 6 cups of granola she is using twice as much so she could make 12 bags.

Find the indicated side of the
triangle.
10
459
a
b = [?]

Answers

Answer:

b=a

Step-by-step explanation:

Pythagorean Theorem:

b = 10/√2

5+2x=2x+6

do anyone know the answer

Answers

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

How about: 37×13×78. Simplify this, if you please.

Answers

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

The computer monitor to the right has a length of 44 inches and
a width of 38 inches. Find the length of the diagonal. Round your
answer to the nearest hundredth.

Answers

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

Now that Yardley Auto Repair has a different owner, its mechanics make $35 per hour. That is 25% more than they originally made. How much did the mechanics use to make per hour?

Answers

Answer:

Step-by-step explanation:

So the Yardley people got a raise! Hurray! They make ALL that they made before and a little bit more.

Let x = original pay

100% of x is what they made before.

25% of x is the amount of raise they got.

100% of x should be written 1x, or just x (convert the % to a decimal)

25% of x should be written .25x

So a math sentence that says their original pay plus their raise is now $35 would be written

1x + .25x = 35

Combine the x terms.

1.25x = 35 Now divide both sides by 1.25 to get the x all by itself.

1.25x/1.25 = 35/1.25

x = 28 Remember what x stood for? x is the original pay. The mechanics used to make $28 per hour.


What is 2/3 of 9/12?

Answers

Answer:

0.5 in fraction form its 1/2.

Step-by-step explanation: hope this helps you <3.

That means
2/3 x 9/12.

So multiply numerators and denominators

18/36

Simplify

1/2

Hope this helps!
Brainliest and a like is much appreciated!

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