Answer:
The answer is x=3. YOU add the 6 to the zero and then divide the 2x by 6 and you get 3
Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.
Answer:
1. Cos θ = 6√2 / 11
2. Tan θ = 7 / 6√2
3. Cosec θ = 11 / 7
4. Sec θ = 11 / 6√2
5. Cot θ = 6√2 / 7
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = 7 / 11
Next, we shall determine the adjacent of the right triangle. This can be obtained as follow:
Sine θ = 7 / 11
Sine θ = Opposite / Hypothenus
Opp = 7
Hypo = 11
Adj =?
Hypo² = Opp² + Adj²
11² = 7² + Adj²
121 = 49 + Adj²
Collect like terms
Adj² = 121 – 49
Adj² = 72
Take the square root of both side
Adj = √72
Adjacent = 6√2
1. Determination of Cos θ
Adjacent = 6√2
Hypothenus = 11
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = 6√2 / 11
2. Determination of Tan θ
Opposite = 7
Adjacent = 6√2
Tan θ =?
Tan θ = Opposite / Adjacent
Tan θ = 7 / 6√2
3. Determination of Cosec θ
Sine θ = 7 / 11
Cosec θ =?
Cosec θ = 1 ÷ Sine θ
Cosec θ = 1 ÷ 7 / 11
Cosec θ = 1 × 11/7
Cosec θ = 11/7
4. Determination of Sec θ
Cos θ = 6√2 / 11
Sec θ =?
Sec θ = 1 ÷ Cos θ
Sec θ = 1 ÷ 6√2 / 11
Sec θ = 1 × 11 / 6√2
Sec θ = 11 / 6√2
5. Determination of Cot θ
Tan θ = 7 / 6√2
Cot θ =?
Cot θ = 1 ÷ Tan θ
Cot θ = 1 ÷ 7 / 6√2
Cot θ = 1 × 6√2 / 7
Cot θ = 6√2 / 7
help me with this math question
Answer:
points D and B. Answer choices D and E.
Step-by-step explanation:
The point, C, is at -1 1/4. Count over 2 points of either B or D, and you have your answer.
En una situación en una institución educativa se realizó una encuesta a todos los estudiantes de cuarto grado de secundaria sobre las carreras desean seguir cuando termine sus estudios los resultados obtenidos se muestran en el siguiente cuadro gráfico
Answer:
La ingeniería es la opción más preferida y la contabilidad es la opción menos preferida entre los diferentes estudios.
Step-by-step explanation:
Los resultados obtenidos de la encuesta a estudiantes que siguen diferentes carreras luego de completar su 4 grado en la escuela secundaria. Cuando los estudiantes terminan sus estudios de secundaria, prefieren dedicarse más a la ingeniería. La escala salarial de los ingenieros es alta y también la demanda de ingenieros es alta en el país. La segunda mejor opción para los estudiantes serán los estudios comerciales, luego elegirán medicina, contabilidad y otros estudios. Las opciones están disponibles para que los estudiantes elijan su carrera preferida en la que identifiquen su interés.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
2 QUESTIONS
Answer:
3/13
Step-by-step explanation:
Answer:
Your answer is 3/13
Step-by-step explanation:
hope it will help youHello, stuck on 1 problem:
4/8 - 3/4 = ?
Answer:
-2/8
Step-by-step explanation:
All you need to do is to find the common denominator which is 8
so 4/8 is good to go and remains as it is
For 3/4 you have to multiply the fraction by 2, both numerator and denominator
you will get 6/8
so 4/8-6/8 would give you -2/8 or -1/4
I NEEEDDDD HELPPP ASAPPPP!!! it’s urgentttttt
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
please me in the math
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} and \: \\ 4 {x}^{6} - 4 {x}^{x} \\ it \: is \: lcm[/tex]
Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Answer: 300
Step-by-step explanation:
Based on the information given in the question, the number of participants in the study will be calculated thus:
The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.
This will be:
= 8!/(8 - 3)!
= 8 × 7 × 6
= 336
Since 36 sequences were not assigned, therefore the numbers that were assigned will be:
= 336-36
= 300.
There were 300 participants.
What is the slope of the line that passes through the points (4, 4) and (10, 7) ? Write your answer in simplest form.
Answer: 1/2x + 2
Step-by-step explanation:
To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it
In △MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQ⊥MN, and HR ⊥NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
The given parameters are represented by drawing the triangle with the details given using MS Visio
The point Q is located between points M and N in ΔMNP
The point R is located between points N and P in ΔMNP
The incenter of the triangle = H
Line HQ is perpendicular to side MN on ΔMNP
Line HR is perpendicular to side NP on ΔMNP
The length of the segment QN = 36
The length of the segment HN = 39
By Pythagoras' theorem, HQ = √((HN)² - (QN)²)
∴ HQ = √(39² - 36²) = 15
HQ = 15
Given that H is the incenter of ΔMNP, the lengths of the perpendicular from H to the sides of the triangle are equal to the radius of the inscribed circle of the triangle
Therefore, the radius lengths are HQ, and HR
∴ HR = HQ = 15
HR = 15.
Can someone help me with this math homework please!
Answers:
gets steepergets less steepnegative========================================
Explanations:
We have m = 1 change to m = 3. As we get further away from 0, the slope gets steeper.Now we're going from m = -6 to m = -1, and we're getting closer to zero. So we're going in the opposite direction as problem 1. Therefore, the line is getting more shallow or less steep.Negative values of m correspond directly to negative slopes, and vice versa. This is simply because m is the slope. Negative slopes visually show a line that goes downhill when you move to the right.Answer:
1: gets steeper
2: gets less steep
3: negative
Step-by-step explanation:
"As the value of m changes from 1 to 3, the graph gets steeper."
m is the slope of the line, and when it increases, there's more "rising" then "running", so it becomes more steep.
"As the value of m changes from -6 to -1, the graph gets less steep."
When the value of m increases, it gets more steep. It makes sense since -6 is less than -1. However, in this scenario, the negative sign doesn't "affect" the slope of the graph. It just flips the graph over the y-axis.
So you have to think of it as if the negative signs were gone and it was 6 to 1.
In that case, the slope is decreasing, so it's getting less steeper.
"If the value of m is negative, the slope of the line is negative."
The m variable represents the slope in slope-intercept form, so if m is negative, that's the same as saying the slope is negative.
Hope this helps (●'◡'●)
-0.6the decimal in equivalent fraction form
[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]
[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP!
Answer:
x = 29.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos x = adj side/ hypotenuse
cos x = 67/77
Taking the inverse cos of each side
cos^-1( cos x) = cos^-1 (67/77)
x = 29.52626525
To the nearest tenth
x = 29.5
PLEASE SOMEONE HELP ME WIT THIS AA
Richie and Justin are doing house renovations for Kirk. Kirk has promised them at least 20 total hours of work per week, but can pay them no more than $1,200 per week of total wages. Richie makes $25 per hour and Justin makes $45 per hour.
Letting x be the number of hours Richie works and y be the number of hours Justin works, write a system of inequalities that models this situation.
If in a given week, Justin and Richie want to both work 15 hours, will this lead to a solution to the system of inequalities? Justify your response.
PLEASE HELP ME THERE IS A IMAGE OF THE PROBLEM IF NEEDED ANY HELP IS APPROPRIATED :)
Answer:
Step-by-step explanation:
a) 1200≥25x+45y
b) YES, because:
1200≥25(15)+45(15)
1200≥375+675
1200≥1050
Help me fastttttttyyt
Answer:
1
Step-by-step explanation:
no exponent
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag. How many more pounds does one of the heaviest bags weigh than one of the lightest bags? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
The answer is "[tex]1\frac{1}{2}[/tex]"
Step-by-step explanation:
Please find the graph file of the question in the attachment.
Its first step is the lightest and heaviest evil. [tex]4 \frac{1}{4}[/tex] is the lightest bag, and [tex]5 \frac34[/tex] is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out [tex]4 \frac{1}{4}[/tex] is the wrong part.
[tex](4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.[/tex] The process is the same for [tex]5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.[/tex]
You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as[tex]\frac{23}{4}-\frac{17}{4} =\frac{6}{4}[/tex] is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to [tex]1.5=1 \frac{5}{10}[/tex] and the last step is [tex]1\frac{1}{2}[/tex]to reduce.
1. Alec is building a model car. The model is 0.03 the size of the car. Let c represent the size of
the original car. What is an expression to represent the size of the model car
Answer:
Answer:
Step-by-step explanation:
There are several ways in which to express this ratio. First and according to the size the model is to the real car:
m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:
c = 33 1/3m (the car is 33 and a third times the size of the model).
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
61.716 seconds (62 if round up is needed)
Step-by-step explanation:
36 / 7 = 5.143
5.143 * 12 = 61.716
Connor was given a box of assorted chocolates for his birthday. Each night. Connor
treated himself to some chocolates. There were originally 18 chocolates in the box
and after 3 nights, there were 9 chocolates remaining in the box. Write an equation
for C. in terms oft, representing the number of chocolates remaining in the boxt
days after Connor's birthday.
Submit RSE
acer
Answer:
c = 18 - 3d
Step-by-step explanation:
d = days after birthday
Answer:
C = 18 - 3t
Step-by-step explanation:
18 - 9 = 9
9 / 3 = 3
18 = chocolates at the beginning.
C = 18 - 3t
The answer is C = 18 - 3t.
Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of 2.5 m/s. At what angle should the boat be oriented south, relative to the westward direction, such that the boat will be traveling due west? Round to the nearest degree.
Answer: [tex]24^{\circ}[/tex]
Step-by-step explanation:
Given
River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]
Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]
South component of boat velocity must compensate the river velocity in order to travel in west direction.
[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]
Find the perimeter of the polygon.
Answer:
36 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangle will be 10, 13, and 13
so the perimeter = 10 + 13 + 13
p = 36 units
Answer:
perimeter = 36
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, then
perimeter = (5 + 5) + (8 + 8) + (5 + 5)
= 10 + 16 + 10
= 36
Can someone please help
Answer:
[tex]162.07[/tex]
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
Substitute,
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
[tex](m<ABD)+(m<DBC)=90[/tex]
[tex]42+(m<DBC)=90[/tex]
Inverse operations,
[tex]42+(m<DBC)=90[/tex]
[tex]m<DBC=48[/tex]
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]
Substitute,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
Inverse operations,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
[tex]adjacent=\frac{180}{tan(48)}[/tex]
[tex]adjacent=162.07[/tex]
Write if the statement presented is "True" or "False." If False, Justify. "The simplified ratio of 27:36 is 4: 3"
Answer:
FALSE. isn't it supposed to be 3 : 4.
Step-by-step explanation:
Simplified would be 27÷ 9 =3 and 36 ÷ 9 =4
============================================================
Explanation:
The ratio 4:3 has the first part (4) larger than the second part (3)
The ratio 27:36 has it flipped around, where the second part is the larger item this time.
Based on this alone, we can see that there's no way that 4:3 is the same as 27:36
--------------
Another way you can look at it is to divide both parts of 27:36 by the GCF 9
27/9 = 336/9 = 4The ratio 27:36 fully reduces to 3:4 and not 4:3. The order matters.
--------------
Or you could go in verse of the previous section. Multiply both parts of 4:3 by 9
9*4 = 369*3 = 27So the ratio 4:3 is equivalent to 36:27 which is not the same as 27:36. Again, the order is important.
--------------
Yet another approach:
Treat the ratios like fractions. If they were equal, then 27/36 = 4/3 would be true.
Cross multiplying leads to 27*3 = 36*4 and that becomes 81 = 144 which is false. So saying 27:36 reduces to 4:3 is also false
please! can somebody help me?
Step-by-step explanation:
The depth of the water is increasing by 2 feet each minute.
SP= 328, Profit = Rs 29
[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]
Rewrite the equation by completing the square.
x^2-x-20=0
(x+ ? )^2= ?
please help me
Answer:
[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]x^2-x-20=0[/tex]
This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:
[tex](x^2-x)-20=0[/tex]
For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:
[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]
However, when adding values to one side of the equation, we must to the same to the other side:
[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]
Complete the square:
[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]
Move 20 to the other side
[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]
I hope this helps!
The difference of a number and six is the same as five times the sum of a number and two what is the number
At the hot dog stand, 1/3 of all hot dogs served had a sesame buns, 2/5 of all hot dogs had ketchup, and 1/10 of all hot dogs were plain. What does the product of 1/3(2/5) stand for?
Answer:
The product of 1/3(2/5) represents the number of hot dogs that were served on sesame buns WITH ketchup
Step-by-step explanation:
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
