Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]
hypotenuse² = (opposite side)² + (adjacent side)²
= 5² + 12²
= 25 + 144
= 169
hypotenuse = √169 = √13*13 = 13
[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]
Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28
Answer:
a=35,b=49,c=-14
Step-by-step explanation:
[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]
30 POINTS!! HELP ASAP ITS 11 PM AND I'M SO TIRED.
Hey there! I'm happy to help!
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15. Interpret
I'll try to explain this quick so you can sleep. Sleep is very important for brain activity and is very important to help us learn more efficiently and to help us feel more energized and healthy (and sleep is just amazing in general) :)
All of the numbers below 1000 are going to give us negative number answers. For all of them, we just subtract 1000 from it to see how much over or below we are.
February: 10
March: -5
April: 50
May: -25
June: -20
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16. Analyze
An integer is just a number with no fraction or semi-value that is part of it. So 7 and -10 are integers while -1.5 and 2/3 are not.
A negative integer is one below zero, and a positive is one above zero.
PART A: Letters a and c represent the negative integers because they are to the left of zero on the number line.
PART B: letters b and d represent the positive integers because they are above zero on the number line.
PART C: They can be described as additive inverses, which have a different sign but the same absolute value (distance from zero). They are called this because when you combine them you get zero.
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Enjoy your sleep and keep on learning! :D
Find the value of x for which l||m
Answer:
30 =x
Step-by-step explanation:
The angles are correcting angle and corresponding angles are equal when the lines are parallel
55 = x+25
Subtract 25 from each side
55-25 = x+25
30 =x
C no dolfneidlxnxbxjkdkdmd dnkfldmfkd
Birifnff
Answer:
this is even math bro
Step-by-step explanation:
1a.-14,____,-6,____,2,____,10
b. ____, - 2,4,____,16,____,64
2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z
Please help me to solve these question, thank you.
Answer:
102
Step-by-step explanation:
x= 12
y= 30
z= 60
Hope u got it
Answer:
Hello,
a) -6
b) -39
c) 102
Step-by-step explanation:
I suppose this are sequence arithemical or geometrical
[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]
[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]
c)
All those numbers are divisor of 3*4*5=60
x=12, y=30, z=60
x+y+z=12+30+60=102
Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.
Answer:
.
Step-by-step explanation:
2: 5, 10, 261.8, 785.4, 0.33
3: 7, 20, 1,026.3, 3,078.8, 0.33
4: 8, 6, 402.1, 1,206.4, 0.33
5: 12, 11, 1,658.8, 4,976.3, 0.33
2/x^2 in indices form explanation. I know the answer is 2x^-2 but I want an explanation.
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex] , then
[tex]\frac{2}{x^2}[/tex] = 2 × [tex]\frac{1}{x^2}[/tex] = 2[tex]x^{-2}[/tex]
the distance travelled by light in 1year is called light year. the valued of 1 light year is about 9460000000000km.express it in scientific notation.
Answer:
9.46×10¹²
Step-by-step explanation:
To express that number in scientific notation you have to move the invisible decimal point from the end to the left in between the first and second number to the left
9460000000000
9.46×10¹²
i hope this helps and if you have any more questions please feel free to ask.
4. Which property of similarity can be used to prove triangles DEF and GHI are similar?
Answer:
SSS
Step-by-step explanation:
We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.
Answer:
SSS
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
Translate the phrase into an algebraic expression. The product of 3 and w
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
Answer:
Step-by-step explanation:
The continuous compound formula is
[tex]y=Pe^{rt[/tex] where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:
[tex]y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09[/tex]
which would probably round to just 3848 people.
find the surface area of triangle prism.
Step-by-step explanation:
the area of a triangle is baseline×height/2
in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.
so,
B = 8×6/2 = 8×3 = 24 yd²
the height h is 8 yd (as the picture clearly shows).
the perimeter of the base is the sum of all three sides
P = 8 + 6 + 10 = 24 yd
(x+5) (x-6)
Please give me the answer
Answer:
x2−x−30 is the solution
Find the area of the sector.
Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
Given variable
θ = 270°
r = 7 mi
Given formula
A = (θ / 360) πr²
Substitute values into the formula
A = (270 / 360) π (7)²
Simplify exponents
A = (270 / 360) π 49
Simplify by multiplication
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
Please let me know if you have any questions
4. Find the range of the number line shown below.
Answer:
I think is 4Step-by-step explanation:
On a horizontal number line, numbers to the...... are less than numbers to the..... Numbers to the right are........ numbers to the left.
on a horizontal number line . numbers to the left are less than numbers to the right .. numbers to the right are less than numbers to the left
Find the simple interest on ₹ 4000 at 7.5 p.a. for 3 years 3 months. Also find the amount.
Step-by-step explanation:
it is simple you know
make 3 month into year by 3/12
then solve it using formula
Please help me I will give brainlist
Answer:
please send the whole question.
actually the value of f(x) is missing
what is the gcf of 36, 126, and 210?
Answer:
Greatest common factor (GCF) of 36 and 210 is 6.
Step-by-step explanation:
Answer:
6
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Look at the smallest factor, 36. Find its factors.
36: 1, 2, 3, 6, 12, 18, 36
Out of all of them, which is the biggest one that 126 and 210 are also divisible by?
We see that they're divisible by 1, 2, 3, and 6.
Our answer is 6.
I need help ASAP!!! Please explain how to solve the problem I am stuck with.
Answer:
Step-by-step explanation:
5w = 23 - 3f and 4f = 12 - 2w
Answer:
f = 1, w = 4
Step-by-step explanation:
Given the 2 equations
5w = 23 - 3f → (1)
4f = 12 - 2w (add 2w to both sides )
2w + 4f = 12 ( subtract 4f from both sides )
2w = 12 - 4f → (2)
Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f
20w = 92 - 12f → (3)
- 6w = - 36 + 12f → (4)
Add (3) and (4) term by term to eliminate f
14w = 56 ( divide both sides by 14 )
w = 4
Substitute w = 4 into either of the 2 equations and solve for f
Substituting into (1)
5(4) = 23 - 3f
20 = 23 - 3f ( subtract 23 from both sides )
- 3 = 3f ( divide both sides by - 3 )
1 = f
Answer:
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer: will be A
Step-by-step explanation:
Help with number 11 anyone?
Answer:
y = 3/5×x + 1
Step-by-step explanation:
Slope intercept form y= mx + b
since slope = 3/5 => y= [tex]\frac{3}{5}[/tex]x + b
Plug point (-5,-2) to the equation -2 = [tex]\frac{3}{5}[/tex] x (-5) + b
=> b=1
PLEASE HELP ASAP! Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
Answer:
150/100 , would calculate out to 3/2.
Step-by-step explanation:
lest say we split the mixes up in 50 , we would use soy sauce x(3) and vinegar 2 times.
What is the range of the function graphed below?
у
1
e
6
2
х
-6
8
2
-6-
-8
A. -< y < 2
B.
-00 < y < -2
C. -
D
-2 < y < 0
Answer:
-infinity < y ≤ 2
Step-by-step explanation:
A is correct. The largest value y can have is 2, whereas there is no smallest value. -infinity < y ≤ 2
The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.
What is the range?The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.
It means that the range of the function is varying from negative infinity to a positive value of 2.
To know more about the range follow
https://brainly.com/question/7954282
#SPJ7
Solve the equation involving simple interest.
If 7500$ grows to 8700$ after four years, find the simple interest rate.
Step-by-step explanation:
look it is very easy.
use formula of simple interest
plz help me to slove this
Answer:
50
Step-by-step explanation:
= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5
= 3^3 + (12) + 2^2 + (3 + 2)^5
= 3^3 + 12 + 2^2 + (5)^5
= 9 + 12 + 2^2 + 5^5
= 9 + 12 + 4 + 5^5
= 9 + 12 + 4 + 25
= 50
Please help explanation if possible
Answer:
Step-by-step explanation:
X = 4 , Y = 8
this is because
(5 x 4) - ( 3 x 8) = -4
20 - 24 = -4
___________________________________________________________
so the answer is 4,8
Answer:
( − 2 , 2 )
Step-by-step explanation:
Add 2 x to both sides of the equation.
y = 6 + 2 x 5 x + 3 y = − 4
Replace all occurrences of y with 6 + 2 x in each equation.
Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x
Simplify the left side.
11 x + 18 = − 4 y = 6 + 2 x
Solve for x in the first equation.
x = − 2 y = 6 + 2 x
Replace all occurrences of x with − 2 in each equation.
y = 2 x = − 2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.
Point Form: ( − 2 , 2 )
Equation Form: x = − 2 , y = 2
The mean (average) weight of three boys is 40 pounds. One of the boys weighs 50 pounds. The other two boys have the same weight. Find weight of each of the boys?
Answer:
The weights are 50 lb, 35 lb, and 35 lb.
Step-by-step explanation:
The three boys weight x, y, and z pounds.
One boy weighs 50 lb, so x = 50. The other 2 boys have the same weight, so y = z.
The average weight is the sum of the three weights divided by 3.
(x + y + z)/3 = 40
(50 + y + y)/3 = 40
2y + 50 = 120
2y = 70
y = 35
z = y = 35
Answer: The weights are 50 lb, 35 lb, and 35 lb.
Answer: 35 lb, 35 lb, and 40 lb
Step-by-step explanation:
(50+X+X)/3 = 40
50 + 2X = (40)(3)
2X = 120 - 50
X = 70/2
X = 35
Two truck leave a factory at a sametime.one travel east at 60 miles per hour and other went 30 miles per hour. In how many hour will they be 150 miles apart ?
Answer:
2.5hrs apart.
Step-by-step explanation:
150÷60= 2.5
150÷60=5
therefore 5-2.5 =2.5