In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/
41
. What is the value of cos P?
Will be given brainley
Answers
That's my LOL for the night. It's very late where I am. Probably where you are too.
Draw the diagram. This is a very important question. I don't want to just tell you because in many disguises, this problem shows up more than once. So draw the diagram.
Put the Sin of Q in. Sin(Q) is PR/QP Label PR as 9 and QP is 41. Make sure you agree with me before reading the rest.
Do you agree? Good you can go on.
Now go down to <RPQ. A cosine is the adjacent side over the hypotenuse. What I was giggling about when I saw it was that the Cos of P is the Same as the Sin(Q). This fact is going to turn up many times in many different forms. Of all the questions you've asked tonight, this is the one you must pay the closes attention to.
9/41 = Cos P <<<<==== Answer.
Option: A is the correct answer.
The value of cos P is:
A) [tex]\dfrac{9}{41}[/tex]
Step-by-step explanation:We know that if two angles A and B are complementary then,
[tex]A+B=90[/tex]
i.e.
[tex]B=90-A[/tex]
Here we have angle P and angle Q are complementary i.e.
[tex]P=90-Q[/tex]
Also, we are given,
[tex]\sin Q=\dfrac{9}{41}[/tex]
We are asked to find:
[tex]\cos P[/tex]
It could also be written as:
[tex]\cos P=\cos (90-Q)\\\\i.e.\\\\\cos P=\sin Q\\\\i.e.\\\\\cos P=\dfrac{9}{41}[/tex]
Related Questions
Solve the inequality
-40 > -10k
Answers
-40>-10k
Divide both sides by -10, and flip the inequality sign since we are dividing by a negative.
4<k
Have a nice day!
The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.
The numbers are: ___ ,___ or ____,___
Answers
To find these answer you have to write the following two equations.
x - y = 44 and 1/2
7y - x = 10 and 3/14
Then, you can use the substitution method to solve them. Change the first equation to: x = 44 + y. Substitute that into the second equation and solve for y. Once you have that, plug it back into the first equation and solve for x.
The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].
Let's denote the two numbers as x and y, where x is the smaller number. We're given that [tex]y - x = 44 \frac{1}{2}[/tex] and [tex]7x - y = 10 \frac{3}{14}[/tex].
To solve this system of equations, we can use substitution or elimination. Let's use elimination:
1. Multiply the second equation by 2 to clear fractions: [tex]14x - 2y = 20 \frac{6}{14}[/tex].
2. Add the modified second equation to the first equation:
[tex](y - x) + (14x - 2y) = 44 \frac{1}{2} + 20 \frac{6}{14}[/tex]
[tex]13x - y = 64 \frac{11}{14}[/tex]
Now, we have a simpler equation: [tex]13x - y = 64 \frac{11}{14}[/tex].
3. Add this equation to the original second equation to find x:
[tex]7x - y + 13x - y = 10 \frac{3}{14} + 64 \frac{11}{14}[/tex]
[tex]20x - 2y = 75[/tex]
4. Now, we can solve this equation along with the first equation to find x and y.
After solving, we get x = 11 and [tex]y = 55 \frac{1}{2}[/tex].
The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].
Thus, the numbers are [tex]{11 \text{ and } 55 \frac{1}{2}}[/tex].
Correct Question:
The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
first term, you substitute 1 into n
-3 * 2^(1-1)
-3 * 2^0
-3 * 1= -3
fourth term, you substitute 4 into n
-3 * 2^(4-1)
-3 * 2^3
-3 * 8 = -24
eighth term, you substitute 8 into n
-3 * 2^(8-1)
-3 * 2^7
-3 * 128 = -384
simplify 8v + W + 7 - 8v + 2w
Answers
= 3w + 7
8v +-8v is just 0. That is why it is not included in the equation.
AAAAAAAAAAAAAASSSSSSSSSSAAAAPPPPPPPPP.........
Answers
Choice A).
20 POINTS! What is the slope of the line through the points (2, 5) and (6, 13)?
Answers
[tex] \frac{13-5}{6-2} [/tex]
[tex] \frac{8}{4} [/tex]
Slope = 2
So the slope of the line that passes through that point is 2.
Hope this helps :)
Please help!!! Thank you!!!
Answers
First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2
Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.
When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.
117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.
Hope this helps!
Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.
Answers
From our two points we can infer that [tex]x_{1}=0[/tex], [tex]y_{1}=0[/tex], [tex]x_{2}=-4[/tex], [tex]y_{2}=3[/tex]. Lets replace those values in the slope formula:
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
[tex]m= \frac{3-0}{-4-0} [/tex]
[tex]m= \frac{3}{-4} [/tex]
[tex]m=- \frac{3}{4} [/tex]
Now that we have our slope, we can use the slope-intercept formula:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-0=- \frac{3}{4} (x-0)[/tex]
[tex]y=- \frac{3}{4} x[/tex]
We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is [tex]y=- \frac{3}{4} x[/tex].
A little help pwease :o ? A group of 45 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group. O.o
Answers
45= 2a + a
45= 3a
15= a
How would you factor
4x^3 + 2x^2 + 2x?
Please explain in steps not just give me the straight answer.
Answers
so in short, the only factoring doable to it, without any complex factors, is that of taking the common factor of 2x.
now, the trinomial of 2x²+x+1, will not give us any "real roots", just complex or "imaginary" ones.
if you have already covered the quadratic formula, you could test with that, or you can also check that trinomial's discriminant, and notice that it will give you a negative value.
[tex]\bf \begin{array}{llcccll} & 2 x^2& +1 x& +1\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \qquad 1^2-4(2)(1) \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
Answer:
[tex]2x(2x^2+x+1)[/tex]
Step-by-step explanation:
We have been given an expression and we are asked to find factor out our given expression.
[tex]4x^3+2x^2+2x[/tex]
To factor our given expression we need to factor out the greatest common factor of each term of our given expression.
We can rewrite our given expression as:
[tex](2\cdot 2\cdot x\cdot x\cdot x)+(2x\cdot x)+2x[/tex]
We can see that the greatest common factor of our given expression is 2x.
Upon factoring out 2x from our given expression we will get,
[tex]2x(2\cdot x\cdot x+x+1)[/tex]
[tex]2x(2x^2+x+1)[/tex]
Therefore, the factored form of our given expression is [tex]2x(2x^2+x+1)[/tex] .
want 100p and brainiest answer first, ((((please))))
what is 2 1
1__ - 2__ = ?
3 3
Answers
In july in seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. in seattle, in july, 75% of the days are sunny and 25% of the days are cloudy.
a.find the expected value of grass growth for the day
b.find the expected value of grass growth for the month of july ( 31 days ) -- round both to 2 decimal placees
Answers
a.
1/2×75％＋1/4×25％=0.4375
the expected value of grass growth for the day is 0.4375
b.
0.4375×31=13.5625
the expected value of grass growth for the month of july is 13.5625
Final answer:
Calculate the expected grass growth in Seattle based on the daily growth rates for sunny and cloudy days, then find the expected growth for the month of July.
Explanation:
a. Expected value of grass growth for the day:
Expected growth = (0.75 x 0.5) + (0.25 x 0.25) = 0.4375 inches
b. Expected value of grass growth for the month of July:
Expected growth for July = 31 days x Expected growth per day = 31 x 0.4375 = 13.56 inches
jack lease a car for $159\month for 39 months. the amount due when he signed the lease was 2399. how much did jack pay during the first year of the lease.
Answers
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
True
False
ILL GIVE BRAINLIEST IF U GET IT RIGHT!!
Answers
so it is False. Hope it helps
Answer:the answer is false
The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4 What are the possible dimensions of the classroom? Use Factoring.
Answers
In a rectangle the area is L x W. So if we know the area is 10x^2 + 3x - 4, then all we have to do is factor it to find possible values for the L and W.
If you factor the expression by grouping, you will get (2x - 1) and (5x + 4).
Your questions asks for possible dimensions, you could give the two expressions as dimensions.
If you wanted to select a value for x, you could plug it in and get values that could be dimensions.
For example if you let x = 10, you would have a rectangle that has a width of 19 and a length of 54.
Answer:
(5x + 4) and (2x – 1)
Step-by-step explanation:
When a number is divided by -3, the result is 12 more than the number what is the number?
Answers
Final answer:
To find the number that, when divided by -3, the result is 12 more than the number, we set up an equation and solve it to get the answer, which is -9.
Explanation:
When a number is divided by -3, and the result is 12 more than the number itself, we can set up the following equation to find the number: number / -3 = number + 12. Following division and multiplication rules for signs, and executing proper algebraic manipulations, we can solve this equation.
First, we multiply both sides by -3 to get rid of the fraction:
-3 * (number / -3) = -3 * (number + 12),
which simplifies to:
number = -3(number) - 36.
Next, we add 3(number) to both sides to get:
4(number) = -36.
Finally, we divide both sides by 4 to isolate the 'number':
number = -36 / 4
number = -9.
Therefore, the number in question is -9.
Find the inverse function for the function f(x) = mx + b?
Answers
The inverse is created by interchanging x and y like this.
x = my + b and solving for y
(x - b) = my Now divide by m
(1/m) * (x - b) = y
90% * x = 50 pounds of money
Answers
x = £55.56
When the town of Bradyville first started its voluntary recycling program, 1500 of the town’s residence participated. The town predicts that the number of people participating in the recycling program will increase by 15% each year.
Which explicit rule can be used to determine the number of people participating in the program in the fifth year?
an=1500(1.15)^n−1
an=1500(0.15)^n
an=1500(1.15)n
an=1500(0.15)^n−1
Answers
This is an example of an exponential equation.
These types of equations are in the form: y = ab^x
A is the starting amount, b is the rate and x is the number of years.
All you have to do is put the pieces in place. Since it is a 15% increase, we are using 1.15 for the rate. And the starting value (a) is 1500.
Answer:
Here you go. :)
HELP PLEASE
Find the value of x, if you know the hypotenuse is 10 and 1 of the sides is 5. X is the other side.
Answers
[tex]a^2+b^2=c^2[/tex]
Solve for b (c is the hypotenuse and it doesn't matter which side is a or b):
[tex]b = \sqrt{c^2-a^2} = \sqrt{10^2-5^2} = \sqrt{100-25} = \sqrt{75} [/tex]
We can simplify this:
[tex] \sqrt{75} = \sqrt{25*3} = 5 \sqrt{3} [/tex]
So, your answer is, b = [tex]5 \sqrt{3} [/tex]
For questions like these, where you are given the hypotenuse & one side of a triangle, then we can very simply use the Pythagorean Theorem to find x.
Pythagorean Theorem : a² + b² = c²
Where :
a = side length
b = another side length
c = hypotenuse
Since we are given 10 as the hypotenuse and 5 as a side length, we can very simply plug these into the Pythagorean theorem.
a² + b² = c²
We'll plug 10 into 'c' and 5 into 'a.'
(5²) + b² = (10²)
Simplify.
25 + b² = 100
Now, subtract 25 from both sides.
b² = 100 - 25
Simplify.
b² = 75
Now, find the square root of b² and 75.
[tex] \sqrt{b^2} = \sqrt{75} [/tex]
Simplify.
[tex]b = 5 \sqrt{3} [/tex]
Therefore, our final side length is : [tex]5 \sqrt{3} [/tex]
~Hope I helped!~
John bikes for 2 hours at a speed of 15 miles per hour. How many hours will it take Shannon to cover the same distance at a speed of 10 mi/h?
Answers
if john bikes for two hours 15 miles per hour two hours is thirty miles of biking
D=RT
Distance= 30 miles
Rate= 10 miles per hour
Time= t
plug numbers in
30 = 10t
divide each side by ten to get t by itself
t= 3
time = 3
3 hours to travel 30 miles biking at 10mph
Answer:
3 hours to travel 30 miles biking at 10mph
Step-by-step explanation:
hope this helps... :)
identify a counterexample for the following conditional: if you live in Springfield, then you Iive in Illinois.
Answers
If ED = 10 and DB = 3x-8, what is the length of EB
1. 32
2. 22
3. 10
4. 20
Answers
2 times ED=EB
2(10)=20
EB is 20
EB = 20 units
Explanation:
This question can be solved using two methods:
Method #1:
From the image, we can note that D is the midpoint of EB, therefore, ED = DB
This means that:
EB = 2*10 = 20 units
Method #2:
From the image, we know that ED = DB
We are given that ED = 10 units
Therefore:
DB = 3x - 8 = 10
3x = 18
x = 6
DB = 3(6) - 8 = 18 - 8 = 10 units
EB = EB + DB = 10 + 10 = 20 units
Hope this helps :)
Which of the following values are zeros of
x(x+5)(x-3)?
SELECT ALL THAT APPLY.
A. -5
B. -3
C. 0
D. 3
E. 5
Answers
Selections A, C, D apply.
Which of the following statements is true about the given function?
Answers
x = (-b plus or minus √b² - 4ac)/2a
Therefore, the other answer would be √7 - 5i
Cara muffin recipe calls for 1 1/2 cups of flour for the muffins and 1/4 cup flour for the topping.If she makes 1/2 of the original recipe.How much flour will she use.
Answers
The amount of flour she is using for the muffins is 6/8,
and the amount of flour she is using for the topping is 1/8.
Hope this helps
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Recipe:
Amount of flour for muffins = [tex]1\frac{1}{2}[/tex] = 3/2 cups
Amount of flour for toppings = [tex]\frac{1}{4}[/tex] = 1/4 cups
The total amount of flour:
= 3/2 + 1/4
= (12 + 2) / 8
= 14 / 8
= 7/4 cups
We see that the total amount of flour needed to make one Cara muffin recipe is 7/4 cup of flour.
To make 1/2 of the original recipe.
The amount of flour needed:
1 recipe = 7/4 cups
Divide both sides by 2.
1/2 recipe = 1/2 x 7/4 cups
1/2 recipe = 7/8 cups
Thus,
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ5
Find the measure of each angle please?
Answers
The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Since both interior angles are supplementary to congruent angles, they are congruent.
Let z be the measure of each upper interior angle.
2x + z = 180
z = 180 - 2x
Each upper interior angle measures 180 - 2x.
The sum of the measures of the interior angles of a triangle is 180.
180 - 2x + 180 - 2x + x = 180
-3x + 360 = 180
-3x = -180
x = 60
One interior angle measures x, so it measures 60 deg.
The other two interior angles measure 180 - 2x = 180 - 2(60) = 180 - 120 = 60
Answer: all interior angle measure 60 deg.
The exterior angles shown measure 120 deg each.
Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 feet. If there are four blades on the windmill, what is the total area of the blades 1.56 ft2 2.14 ft2 3.28 ft2 or 4.96 ft2 im unsure of this one but im going with 2.,
Answers
What is another way to write this number 300+70+5/10+8/100
Answers
Your answer is 370 [tex] \frac{29}{50} [/tex]
I hope this helped! :-)
In 2004, the world's largest carousel was located at the House on the Rock, in Spring Green, Wisconsin. Suppose that the center of the carousel is at the origin and that one of the animals on the circumference of the carousel has coordinates (24, 32). If one unit of the coordinate plane equals 1 foot, what is the diameter of the carousel
Answers
x²+y²=r²
2. You must calculate the radius. Then:
r=√(x²+y²)
x=24
y=32
3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:
r=√(x²+y²)
r=√(24²+32²)
r=√(576+1024)
r=√1600
r=40 feet
4. Therefore, the diameter (D) of the circle, is:
D=2r
D=2(40 feet)
D=80 feet