The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
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Guys please i need help on this, i will give brainliest to the right answers
Answer:
3x + 3
Step-by-step explanation:
yeah-ya........ right?
If a car averages 22 miles per gallon, how many kilometers per liter is this?
We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km
Since it's mile per gallon, we divide the units mentioned above.
1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251
Now multiply this result as a factor to 22
That is 22 * 0.4251 = 9.3522
So the answer is 9.3522
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
HELP PLS 15 POINTS first best is brainliest
What is the area of this figure?
Enter your answer in the box.
mm²
Answer:14mm
Step-by-step explanation:
If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a tank 12 m in diameter.
The cost to fill the 12 m tank is $__
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
plz help I NEED IT RN PLZ
A quadrilateral has (blank) sides and (blank) angles
A pentagon has (blank) sides and (blank) angles
A cube (blank) faces
Step-by-step explanation:
A quadrilateral has (four) sides and (four) angles
A pentagon has (five) sides and (five) angles
A cube (six) faces
hope this helps you.
An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?
please help me ill mark as brainliest and its worth 50
Answer:
C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Step-by-step explanation:
54/6 = 9
a^8 / a^-4 = a^{8 - (-4)} = a^12
b^2 / b^5 = b^-3 = 1/b^3
Answer: C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Answer:
Option C
Step-by-step explanation:
[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]
We know that
[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]
[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]
[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answer:
360 people
Step-by-step explanation:
[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]
Hope this helped! :)
You want to create an orange color in order to paint the Oriole’s Bird. You have the colors yellow and red to make the orange paint. The recipe for Oriole’s orange paint is 1/2 cup yellow paint to 1/4 cup red paint. Using this ratio:
Part 1: How much yellow paint do you need to combine with one cup of red paint?
Part 2: How much red paint do you need to combine with one cup of yellow paint?
Each snap cube represents 1/4 cup of paint.
Answer:
Adult males are flame-orange and black, with a solid-black head and one white bar on their black wings. Females and immature males are yellow-orange on the breast, grayish on the head and back, with two bold white wing bars
Monroe uses a microscope observe specimens in science class. The Microscope enlarges objects to 100 times their actual size. Find the size of each specimen as seen in the microscope. Monroe Teacher wants each student to draw a sketch of the longest specimen? Seen through the microscope, a specimen is 0.75 cm long. What is it actual length?
Answer:
0.0075 centimeters long
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
L x 100 = 0.75 cm
The actual length of the specimen = L
The actual length of the specimen is 0.0075 cm
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Seen through the microscope, a specimen is 0.75 cm long.
The Microscope enlarges objects to 100 times their actual size.
This means,
Let the actual length of the specimen = L
Now,
L x 100 = 0.75 cm
The actual length of the specimen.
L x 100 = 0.75 cm
L = 0.75 / 100
L = 75/10000
L = 0.0075 cm
Thus,
The actual length of the specimen is 0.0075 cm
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What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?
Answer:
[tex]y=\frac{1}{2} x+9.[/tex]
Step-by-step explanation:
1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;
2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;
3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.
Given f(x), match each expression to its correct value
Answer:
-11, f(-5) 1
Step-by-step explanation:
Determine the value of cos 45 X 29
Answer:
20.50609665
around 20.506
Help on this algebra 2 question!!!!!!
Answer:
C.
Ax + 1 = x A + 1
Bx + 2 = x B + 2
Cx + 3 = x C + 3
A = x C + 3
B = x C + 3
C = x C + 3
I'm not really sure about the answer but i hope it helps
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed
Answer:
It is 18 feet
Step-by-step explanation:
The remaining spoon of ribbon will be; 22 feet.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then
WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.
The remaining spool can be calculated by the difference;
24 feet of ribbon - 2 yards of ribbon
24 - 2 = 22
Therefore, the remaining spoon of ribbon will be; 22 feet.
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how many times larger is 2 x 10[12] than 5 x 10[6]
Answer:
Step-by-step explanation:
2 x 10¹² / 5 x 10⁶ = 2/5 x 10⁽¹²⁻⁶⁾ = 0.4 x 10⁶ = 4 x 10⁵
look at picture for problem
Expand & simplify
(x +3) (x-3)
Answer:
x^2 - 9
Step-by-step explanation:
Multiply parenthesis
x × x = x^2
x × -3 = -3x
3 × x = 3x
3 × -3 = -9
x^2 - 3x + 3x - 9
= x2 - 9
QD = 20000 -3P QS = 15000 +2P
The equilibrium price of the commodity at the given demand and supply is 1,000.
The given parameters:
Quantity demanded, QD = 20,000 - 3PQuantity supplied, QS = 15,000 + 2PThe equilibrium price of the commodity is calculated as follows;
At equilibrium price, the demand curve and supply curve cross each other.
[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]
[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]
Thus, the equilibrium price of the commodity is 1,000.
The complete question is below;
Determine the equilibrium price, if QD = 20000 -3P and QS = 15000 +2P.
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pls solve this equation for brainliest 2a+2=8?
Answer:
a=3
Step-by-step explanation:
you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again
Answer:
a=3
Step-by-step explanation:
Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.
Answer:
19.228
Step-by-step explanation:
multiply 2.2*2.3*3.8 to get 19 yd^3
the price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year?
please help me, thankyou
Answer:
From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value
changed at a steady rate of -6.4 points per hour.
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Answer:
56
Step-by-step explanation:
cross multiply
0.06z - 0.36 = 3
0.06z = 3.36
z = 56
I do not know how to do this
Help me find this question
Answer:
n=5
6n^2-15=6(5)^2-15 -> add 15 to both sides
6n^2=6(5)^2 -> divide both sides by 6
n^2=5^2 -> sqr both sides
n=5
Round 743,214 to nearest ten thousand
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]