Answers
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
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 - 1There you go, x is now the subject.
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
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.
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:
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 TENTH GRADE GEOMETRY
Answers
Answer:
answer is 19............
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.
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!
need help with this pls
Answers
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
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
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
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
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
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
please help!
53°
44°
46°
xº
Answers
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
Find the indicated side of the
triangle.
10
459
a
b = [?]
Answers
Answer:
b=a
Step-by-step explanation:
Pythagorean Theorem:
b = 10/√2
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.
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
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.
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% by 800 = 280
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.
Find the unknown side (w) of the rectangular solid. Please help..
Answers
Answer:
W= 2
Step-by-step explanation:
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
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
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
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 > 70Conclusion:
We can clearly see that 104 km is further than 70 miles.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
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:
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 .
FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!!
Answers
Answer: Answer is on first screenshot
Step-by-step explanation:
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.
- 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=xWhich 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!