Answer: 60 degrees
Step-by-step explanation:
This triangle is a 30-60-90 right triangle because the hypotenuse is double the shortest side. Because this is a 30-60-90 right triangle, Angle C, which opens up to the x√3 side, is 60 degrees.
Hope it helps <3
Answer:
angle C=60 degrees
Step-by-step explanation:
cos C=adj/hyp
cos C=√11/2√11
cos C=1/2 ( convert to degrees)
angle C=60 degrees
There are 39 chocolates in a box, all identically shaped. There 16 are filled with nuts, 13 with caramel, and 10 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a nut chocolate followed by a caramel chocolate.
Answer:
16/117Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome of event/total outcome of event
Given the total amount of chocolate in a box = 39chocolates
Amount of nuts = 16
Mount of caramel = 13
Amount of solid chocolate = 10
If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39
IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3
The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117
i will mark brainliest i need help quick
Answer:
x-1
Step-by-step explanation:
| x-1| x> 1
Since x is greater than x, the absolute value will be positive so we can remove it
x-1
Lets use a number to check
Let x = 4
| 4-1| 4>1
3 which is positive
Answer:
x - 1
Step-by-step explanation:
| x - 1 |
x > 1
x is greater than 1. The absolute value is not needed, since the value inside will only be for positive integers.
x - 1
We can check by plugging x as 2.
2 - 1 = 1 (positive)
2 > 1
if amir joins indian army, he is courageous.
convert this into contrapositive statement
If Amir is not courageous, then he will not join the indian army.
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000?
Answer:
39 investors contributed $6,000, and 21 investors contributed $12,000.
Step-by-step explanation:
Let's say that x investors contributed $6,000, and y investors contributed $12,000.
x + y = 60
6,000x + 12,000y = 486,000
x + 2y = 81
x + y = 60
y = 21
x + 21 = 60
x = 39
So, 39 investors contributed $6,000, and 21 investors contributed $12,000.
Hope this helps!
Jason was surveying students about their use of the new software lab in a school. Which question in the survey is a statistical question? a. How many hours do you spend developing software in the software lab? b. What is the number of learning stations at the software lab? c. Where is the software lab located in the school? d. What are the times the software lab is open? helpppp pls i will give u 20 points
Answer:
I think it's a
Step-by-step explanation:
Because this would ddetermine if the software lab is successfull working.
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
Approximately 9 units.
Step-by-step explanation:
To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.
[tex]d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9[/tex]
which one of the following equals the difference between the total surface area and base area of any three-dimensional figure? PLEASE NEED ANSWERS
Answer:
dimensional figure are
Convert 2.41 cm2 into mm2 *the 2 means squared
Answer:
241 mm^2.
Step-by-step explanation:
There are 10 mm in a cm so there are 10*10 = 100 mm^2 in a cm^2.
So the answer is 2.41 * 100 = 241 mm^2.
Answer:
241mm²
Step-by-step explanation:
If 10mm = 1cm,
then 100mm² = 1cm²
2.41 × 100 = 241mm²
Please answer it now in two minutes
Answer:
15√3
Step-by-step explanation:
This is a 30-60-90 triangle, so in order to solve for v, we can multiply the short leg by √3, which we will get 15√3.
Answer:
v = 25.98
Step-by-step explanation:
You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.
Formula
Tan(theta) = opposite / adjacent
Givens
Theta = 30o
Opposite = 15 km
Adjacent = x
Solution
tan(30) = 15 / v Multiply both sides by v
v*tan(30) = 15 Divide by tan(30)
v = 15/tan(30)
tan(30) = 0.5774
v = 15 / 0.5774
v = 25.98
Which statement is correct about the system of linear equations graphed below? A.The system of equations has one solution because the lines will eventually intersect. B.The system of equations has one solution because the lines will never intersect. C.The system of equations does not have one solution because the lines will eventually intersect. D.The system of equations does not have one solution because the lines will never intersect.
Answer: A
Step-by-step explanation:
They have one solution because as you look at the lines they have different slopes and different y intercepts which means it has one solution.It is not parallel to each other to have no solutions. They seems to be going to one direction and eventually they will intersect.
An entertainment services provider on the internet has 10000 subscribers paying $15 per month. It can get 1000 more subscribers for each $1 decrease in the monthly fee. Determine the monthly fee that will yield the maximum monthly revenue and the value of that revenue
Answer:
Monthly fee that will yield the maximum monthly revenue is $12.5
Then the value of the maximum monthly revenue is $156 250
Step-by-step explanation:
x - value of decrease
1000x - number of new subscribers for $x decrease
10000+1000x - number of subscribers after $x decrease in the monthly fee
15-1x the monthly fee after $x decrease
f(x) = (10000 + 1000x)(15 - x) ← quadratic function
For quadratic function given in standard form: f(x) =a(x-h)²+k where a<0 the f(x)=k is the maximum value of function, and occurs for x=h
[tex]h=\frac{-b}{2a}\ ,\quad k=f(h)[/tex]
Expressing given function to standard form:
f(x) = 1000(10 + x)(15 - x)
f(x) = 1000(150 - 10x + 15x - x²)
f(x) = 1000(-x² + 5x + 150)
f(x) = -1000x² + 5000x + 150000 {a=-1000<0}
[tex]h=\dfrac{-5000}{2\cdot(-1000)}=\dfrac{5000}{2000}=\dfrac52=2.5\\\\k=f(2.5)=1000(10+2.5)(15-2.5)=1000\cdot12.5\cdot12.5=156\,250[/tex]
15-2.5 = 12.5
Answer:
Monthly fee is $12.5
Value of revenue is $156,250
simplify. Remove all perfect squares from inside the square root. V180=
Answer:
6√5
Step-by-step explanation:
We have to solve the expression [tex]\sqrt{180}[/tex]
Break 180 into its factors which are in the perfect square form.
Since, 180 = 9 × 4 × 5
= 3² × 2² × 5
Therefore, [tex]\sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}[/tex]
= [tex]\sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5}[/tex] [Since [tex]\sqrt{ab}=\sqrt{a}\times \sqrt{b}[/tex]]
= 3 × 2 × √5
= 6√5
Therefore, solution of the given square root will be 6√5.
Please answer it now in two minutes
Answer: √3
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)
Replacing with the values given:
Sin 30 = x /2
Sin 30 (2) = x
x=1
Applying the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (2) and a and b are the other sides.
2^2 = t^2 + 1^2
4= t^2 +1
4-1 = t^2
3 = t^2
√3 = t
Feel free to ask for more if needed or if you did not understand something.
Which lines are parallel to the graph of 4x - y = 6?
Answer:
Step-by-step explanation:
i cant see answers help my insta is 813.caden
Answer:
y+1=4(x-2)
y=4x+11
8x-2y+6
Step-by-step explanation:
Which situation can be represented by 80x > 150 + 50x?
Answer:
All numbers greater than 5, i.e., [tex]x>5[/tex] .
Step-by-step explanation:
The given inequality is
[tex]80x>150+50x[/tex]
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
[tex]80x-50x>150+50x-50x[/tex]
[tex]30x>150[/tex]
Divide both sides by 30.
[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]
[tex]x>5[/tex]
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
41. In the diagram, a l b. Find the value of x. 55° (x+ 70)
Answer:
55°
Step-by-step explanation:
The corresponding image, which I will attach, is missing in order to solve the exercise.
We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:
55 ° + (70 ° + x °) = 180 °
we solve x °
x ° = 180 ° - 55 ° - 70 °
x ° = 55 °
So the value of x is 55 °
I don't understand this factorisation
a2+ 4a+3
Answer:
[tex] \boxed{\sf (a + 3)(a + 1)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 4a + 3 \\ \\ \sf The \: factors \: of \: 3 \: that \: sum \: to \: 4 \\ \sf are \: 3 \: and \: 1. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 + 1)a + 3 \\ \\ \sf \implies {a}^{2} + 3a + a + 3 \\ \\ \sf \implies a(a + 3) + 1(a + 3) \\ \\ \sf \implies (a + 3)(a + 1) [/tex]
answer correctly first for your brainliest!! :D solve for x: y=3x+22-2x !
Answer:
[tex]x=y-22[/tex]
Step 1:
In order to solve this equation, we must subtract the y on both sides so the y could be cancelled out on the left and could move to the right side of the equation.
[tex]y=3x+22-2x\\=-y+3x+22-2x[/tex]
Step 2:
Then, we add 2x on the right side of the equation to cancel out the -2x and bring it to the left of the equation, where the y was before.
[tex]=-y+3x+22-2x\\2x=-y+3x+22[/tex]
Step 3:
Then, we do the same thing with 3x: subtract it from the right side and add it to the 2x, which becomes -x.
[tex]2x=-y+3x+22\\2x-3x=-y+22\\-x=-y+22[/tex]
Step 4:
Finally, we divide all the numbers by -1 to get our final answer! Reminder: we are doing all this because we have to isolate the x, since we are solving for x.
[tex]-x=-y+22\\\frac{-x}{-1} =\frac{-y}{-1}+\frac{22}{-1} \\x=y-22[/tex]
Our answer is x = y - 22. Hope this helps!
Answer:
answer: x=y-22
Step-by-step explanation:
first subtract y from both sides. then, add -2x on both sides and subtract 3x from the right so the 2x will be -x. divide everything by a - and the answers x=y-22
se technology to solve 4x−11=3.2x+13. Enter the solutions in the boxes. Write the lesser solution first. Round to the nearest tenth if needed.
Answer: x=30
Step-by-step explanation: if you were looking for the value of x, hope this helps!
first, you have to make sure that the correct values are on the right side to allow us to find the answer faster and easier. your modified formula should look like this: 4x-3.2x=11+13
if you do the operations on each side, it will look like this: 0.8x=24, from here, all you have to do now is divide 24 by 0.8 to get the X value, which will result in 30!
A piece of land ABCD is in the shape of a trapezium
as shown in the diagram. AB = 40 m, BC = 39 m,
AD = 30 m, and <ABC = <BAD = 90°. Find
(a) the length of the side CD,
(b) angle BCD,
(c) the area of the land.
Answer:
a) CD = 41 m
b) 77.32°
c) 1380 square metres
Step-by-step explanation:
We can divide the trapezium as shown in the diagram below.
a) To find CD, we use Pythagoras Rule:
[tex]CD^2 = 9^2 + 40^2[/tex]
[tex]CD^2 = 81 + 1600\\\\CD^2 = 1681\\\\=> CD = 41 m[/tex]
b) To find <BCD, we use trigonometric function SOHCAHTOA:
sin(BCD) = opp / hyp
sin(BCD) = 40 / 41
sin(BCD) = 0.9756
=> <BCD = 77.32°
c) The area of a trapezium is given as:
A = 1/2 (a + b) * h
where h = height = 40 m
a = top length = 30 m
b = bottom length = 39 m
A = 1/2 * (30 + 39) * 40
A = 1/2 * 69 * 40
A = 1380 square metres
Please Show your work and Solve. What is the answer to these 5 questions?
(1) -X + 4 = -2X - 6
(2) 4R - 4 = 3R + 10
(3) 2Y - 3 = Y - 4
(4) Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. Write and equation showing how old Ryan is. Solve if you can.
(5) Andy is two fifths of Ruth's age. Ruth is ten. How old is Andy?
Step-by-step explanation:
I answered the first three in your next question :)
4) 2x + 15 = 37
Subtract 15
2x = 12
Divide by 2
x = 6
Ryan is 6 years old
5) A = 2/5(10)
A = 4
Andy is 4 years old
Hope it helps <3
What is 50 + 30(0) - 30?
Answer:
20
Step-by-step explanation:
30(0)
= 0
50 + 0 - 30
= 50 - 30
= 20
Answer:
20
Step-by-step explanation:
We know that 30 × 0 = 0. Next, we can take 50 and add 0 which is still 50. Now, we take 50 - 30 which equals to 20.
Explains how to find n, the number of copies the machine can make in one minute and How long will it take the machine to print 5,200 copies
Answer:
[tex]n = 65m[/tex]
Number of minutes is 80 minutes
Step-by-step explanation:
Given
The attached table
Calculating the number of copies the machine can make in a minute
Represent number of minutes with m and number of copies with n
First, we need to calculate the ratio of m to n
[tex]Ratio = \frac{n}{m}[/tex]
When m = 5; n = 325
[tex]Ratio = \frac{325}{5}[/tex]
[tex]Ratio = 65[/tex]
When m = 10; n = 650
[tex]Ratio = \frac{650}{10}[/tex]
[tex]Ratio = 65[/tex]
When m = 15; n = 975
[tex]Ratio = \frac{975}{15}[/tex]
[tex]Ratio = 65[/tex]
When we continue for other values of m and n, the ratio remains the same;
So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n
Substitute 65 for Ratio
[tex]65 = \frac{n}{m}[/tex]
Multiply both sides by m
[tex]m * 65 = \frac{n}{m} * m[/tex]
[tex]65m = n[/tex]
[tex]n = 65m[/tex]
This implies that, you have to multiply the number of minutes by 65 to get the number of copies
Calculating the number of minutes to print 5200 copies;
In this case;
Ratio = 65 and n = 5200
So;
[tex]Ratio = \frac{n}{m}[/tex] becomes
[tex]65 = \frac{5200}{m}[/tex]
Multiply both sides by m
[tex]65 * m = \frac{5200}{m} * m[/tex]
[tex]65 * m = 5200[/tex]
Divide both sides by 65
[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]
[tex]m = \frac{5200}{65}[/tex]
[tex]m = 80[/tex]
Hence; number of minutes is 80 minutes
A certain quantity grows exponentially over time. The initial quantity at t = 0 is 2,000. The quantity
grows by a factor of 20%. What is the quantity at t = 8?
A 0.00512
B. 8,599.63392
C. 10,319.56070
D. 12,383.47284
Answer:
B
Step-by-step explanation:
using the equation y=2000*1.2^8 we can get the exact value of y which aligns with b
A triangle has a base 12 inches and the height of 5 inches if 6 of these triangles are put together to form a hexagon what would be the area of the hexagon?
Pls help me I need it pls!! I only need the last question which is "Find the weight of one circle. Show or explain how you got your answer. "
A 6 inch-y’all plant grew 3/4 of an inch one week and twice as much the following week. How tall is the plant now?
Answer:
8 inches
Step-by-step explanation:
3/4+(3/4*2)=3/4+6/4=9/4=2 1/4
2 1/4+6=8 1/4=8.25
Answer: 8.25 inches
Step-by-step explanation:
Please help...................
Answer:
30 degrees
Step-by-step explanation:
25 cm in length, radius 3.5cm
For a chemical reaction to occur, at least one-third of the solution must be an acid. If there are five liters of acid, in interval form, how much solution is present?
A. [5,8)
B. (3/5,5]
C. (5/3,5]
D. [5,15]
Answer:
Amount of solution = 15 liter
Step-by-step explanation:
Given:
One third of solution is acid
Amount of acid = 5 Liter
Find:
Amount of solution
Computation:
Amount of solution = Amount of acid (1 / One third of solution is acid)
Amount of solution = Amount of acid (3)
Amount of solution = (5)(3)
Amount of solution = 15 liter
What is the answer I need help
Answer:
B
Step-by-step explanation:
There is a difference of 2 between consecutive odd integers.
let n , n + 2 and n + 4 be the 3 consecutive odd integers, then
n + n + 2 + n + 4 = 87 , that is
3n + 6 = 87 ( subtract 6 from both sides )
3n = 81 ( divide both sides by 3 )
n = 27, n + 2 = 27 + 2 = 29, n + 4 = 27 + 4 = 31
Thus
The 3 consecutive odd integers are 27, 29, 31 → B