Answer:
below
Step-by-step explanation:
that is the procedure above
What is the domain of the function on the graph
Answer:
The domain is all x-values or inputs of a function. hope this helps!
Step-by-step explanation:
find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle. Since the side opposite to the 30 degree angle is marked as 3, the value of [tex]x[/tex] must be [tex]\boxed{3\sqrt{3}}[/tex].
Alternatively, we can use basic trig. for a right triangle to solve. In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Thus, we have:
[tex]\tan 60^{\circ}=\frac{x}{3},\\x=3\tan 60^{\circ}=\boxed{3\sqrt{3}}[/tex]
Answer:
Step-by-step explanation:
The tangent of a 60 degree angle = Sin(60) / Cos(60)
Sin(60) = Square root (3) / 2
Cos(60) = 1/2
Tan(60) = √3 / 2 // 1/2 Invert the denominator and multiply
Tan(60) = √3/2 * 2/1
Tan(60) = √3
Tan(theta) = opposite / adjacent
Tan(theta) = x/3 in this case
Tan(60) = √3 = x/3
x = 3*√3
find the volume of the prism please
Answer:
the answer is 72
Step-by-step explanation:
when your finding volume use the formula length x width x height
Give m || n, find the value of x and y
Answer:
Step-by-step explanation:
2x + 4 + 7x - 13 = 180 degree
9x - 9 = 180
9x = 180 + 9
x = 189/9
x = 21 degree
2x + 4 + 3y + 14 = 180 degree (being linear pair)
2*21 + 4 + 3y + 14 = 180
42 + 18 + 3y = 180
60 + 3y = 180
3y = 180 - 60
y = 120/3
y = 40 degree
A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.
Calculate to determine how much 6 tickets to the wave pool will cost.
$
Answer
What event will cost the least for 9 tickets?
the wave pool
How much less will this event cost?
$20.25
Hope it helps :)
Step-by-step explanation:
6 of 10
?
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
What should be the first step in adding these equations to eliminate y?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4
A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m.
PLEASE HELP QUICKLY - ATTACHED BELOW MATHS
Answer:
113.081 mm²
Step-by-step explanation:
A semicircle is the half part of a circle. And we know that the semicircle have 24 mm of diameter, and the radius is 24/2 = 12 mm. The small circle is inside the semicircle, so its diameter is equal to the radius of the semicircle, and its radius is 12/2 = 6mm
Now, consider π = 3.141, the area of the small circle is:
π•6² = 3.141 • 36 = 113.076 mm²
The area of the semicircle is (π•12²)/2 = (3.141•144)/2 = 226.151 mm²
Now, you just subtract the areas:
226.151 - 113.076 = 113.081 mm²
One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!
Answer:
The two integers are : -3 , 7
Step-by-step explanation:
Let the integers be x and y
Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)
Also Given sum of integers . x + y = 4 ----------- (2)
Substitute ( 1 ) in (2)
x + y = 4
(y + 10) + y = 4
y + 10 + y = 4
2y + 10 = 4
2y = 4 - 10
2y = -6
y = -3
Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7
How much growth or decay is 50(1.05)^t<100
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
You earn $30 for washing 5 cars. How much do you earn
per car?
Answer:
You get 6 dollars per car
Step-by-step explanation:
I divided 30 by 5
Answer: $6 per car
Step-by-step explanation:
If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5
[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]
$6 per one car
solving system by substitution
Given the system of equations below:
[tex] \large{ \begin{cases} x + 2y = 12 \\ x = y - 12 \end{cases}}[/tex]
For the second equation, x-term is isolated and can be substituted in the first equation.
[tex] \large{(y - 12) + 2y = 12}[/tex]
The equation above is when we substitute x = y-12 in the first equation. Cancel the brackets.
[tex] \large{y - 12 + 2y = 12}[/tex]
Add up the like term and isolate y-term.
[tex] \large{3y - 12= 12} \\ \large{3y - 12 + 12 = 12 + 12}[/tex]
Add both sides by 12 to get rid of 12 from the left side to isolate y-term.
[tex] \large{3y = 24}[/tex]
Divide both sides by 3 so we can finally isolate the term.
[tex] \large{ \frac{3y}{3} = \frac{24}{3} } \\ \large{ \frac{ \cancel{3}y}{ \cancel{3}} = \frac{ \cancel{24}}{ \cancel{3}} } \\ \large{y = 8}[/tex]
Next, find the x-value because in system of equations - we have to answer as in an ordered pairs or coordinate point. We know y-value now but we don't know x-value yet. To find x-value, we substitute the y-value in one of two equations that are given. You can substitute in both equation but it's not necessary to substitute in both equations at one. I will choose to substitute in x = y-12.
[tex] \large{x = y - 12}[/tex]
Substitute y = 8 in the equation.
[tex] \large{x = 8 - 12} \\ \large{x = - 4}[/tex]
Now that we know the both values. We finally have an answer to this problem. Hence.
Answer
x = -4, y = 8(-4,8)The second answer is in ordered pair form. Let me know if you have any doubts!
Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter
The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).
What is a unit circle?A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.
Given:
The unit circle at the given angle 135°,
Calculate the value of sin45 as shown below,
sin (180 - 135) = 1 / √2
sin 45 = 1 / √2
cos(180 - 135) = 1 / √2
cos45 = 1 / √2
Write the coordinates as shown below,
Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 ) (Second quadrant is (-x, y))
Coordinates = (-√2 / 2, √2 / 2)
Thus, the coordinates are (-√2 / 2, √2 / 2).
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If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units
Step-by-step explanation:
Find the sum of the numbers. Express your answer in scientific notation.
(6.94 x 10-7)+(2.7x10-)
O 7.21x 10-
O 9.64 x 10-
O 7.21x10-2
O 9.64 x 10-7
Answer:
7.21 × 10⁻⁷
Step-by-step explanation:
(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Answer:
16.75 Dollars for each Ticket
Step-by-step explanation:
They are three friends so the total money they spent is 75 Dollars so a popcorn costs 8.25 EACH friend so
8.25 x 3
= 24.75
24.75 dollars was spent on the 3 popcorns.
Subtract the total money spent and the total money spent on the 3 popcorns so
75. 00 - 24.75
= 50.25
50.25 dollars were totally spent on the tickets but we're looking for each ticket so divide it by 3.
50.25/3
= 16.75
16.75 dollars each were spent on each ticket.
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Q= 4+0.8p what value of p would make the equation true if q was 70
Answer:
82.5 = p
Step-by-step explanation:
Q= 4+0.8p
Let q = 70
70= 4+0.8p
Subtract 4 from each side
70-4= 4-4+0.8p
66 = .8p
Divide each side by .8
66/.8 = .8p/.8
82.5 = p
which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2
Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
Pleaseee help ASAP !!!!!!!!!!!
Given:
The dimensions of base are 5 cm and 5cm.
The height of the pyramid is 3 cm.
To find:
The volume of the pyramid.
Solution:
The volume of a pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
The base area of the given pyramid is:
[tex]B=length \times width[/tex]
[tex]B=5 \times 5[/tex]
[tex]B=25[/tex]
Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(25)(3)[/tex]
[tex]V=25[/tex]
Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.
Find the volume. It’s a cilinder
6 in.
10 in
Answer:1130.97
Step-by-step explanation:
V=πr2h=π·62·10≈1130.97336
what is the simplified form of the following expression?
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) [/tex]
Answer:
Step-by-step explanation:
edge 2021
Which of the following is most likely the next step in the series?
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
❀ [tex]\huge\underline{ \underline{ \text{Answer :-}}}[/tex]
➺ It's likely to be option D.
[tex]\underbrace{ \overbrace{ \mathfrak{Explanation}}}[/tex]
➺ The first figure has a line which divides the circle ⭕ into 2 parts. The 2nd figure divides the circle ⭕ into 3 parts while the 3th figure divides the circle ⭕ into 4 parts. Obviously, the 4th figure then should divide the circle ⭕ into 5 parts. Checking all the given options,
Option A. doesn't divide the circle ⭕ into any parts.Option B. divides the circle ⭕ into 3 partsOption C. divides the circle ⭕ into 4 parts.Option D. divides the circle ⭕ into 5 parts.⟹ So, option D. is the correct answer.
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS
Answer:
4 : 3
Step-by-step explanation:
So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.
So, what are the factors of 18?
2369118Now what are the factors of 24?
2368124All of these work, but we need to GCF, which is the largest factor that goes into both numbers.
Looking at them, it would be 6.
So lets divide both numbers by 6 and see what we get:
18/6
=
3
24/6
=
4
So now there are 3 red crayons and 4 green crayons.
OR
For every 3 red crayons there are 4 green crayons.
This makes the ratio:
3 : 4
Hope this helps!
Ration of red to green crayons is 3:4
Given that;Number of red crayons = 18
Number of green crayons = 24
Find:Ration of red to green crayons
Computation:Ration of red to green crayons = Number of red crayons / Number of green crayons
Ration of red to green crayons = 18 / 24
Ration of red to green crayons = 3/4
Ration of red to green crayons = 3:4
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A rectangular flower pot is 30 cm long, 16 cm wide and 12 cm high. How much soil is needed to fill the flower pot?
A. 6
B. 2
C. 0.4
D. -6
Answer:
6
Step-by-step explanation:
Hope thats the correct answer.
6 friends go out for dinner and the bill for food and drink comes to £140.
The friends decide to add a 20% tip on top of this total.
If they divide the expense equally between them, how much does each friend pay?
Answer:
£28
Step-by-step explanation:
140 x .2 = 28
28+140 = 168
168/6 = 28