Given:
In a right angle triangle θ is an acute angle and [tex]\tan\theta =\dfrac{3}{5}[/tex].
To find:
The value of [tex]\cos \theta[/tex].
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
We have,
[tex]\tan\theta =\dfrac{3}{5}[/tex]
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
[tex]Hypotenuse=\sqrt{Perpendicular^2+base^2}[/tex]
[tex]Hypotenuse=\sqrt{(3x)^2+(5x)^2}[/tex]
[tex]Hypotenuse=\sqrt{9x^2+25x^2}[/tex]
[tex]Hypotenuse=\sqrt{34x^2}[/tex]
[tex]Hypotenuse=x\sqrt{34}[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{5x}{x\sqrt{34}}[/tex]
[tex]\cos \theta=\dfrac{5}{\sqrt{34}}[/tex]
Therefore, the value of [tex]\cos \theta[/tex] is [tex]\dfrac{5}{\sqrt{34}}[/tex].
is any body board because i am:(
frl this place is boring
Plz answer i'll give brainliest but it has to be right.
Hannah just put a 36-foot long
fence around her rectangular
garden. What is the length of the
garden if it is 12 feet wide?
Answer:
perimeter=sum of all sides
p=2(L+W)
36=2(L+12)
36-24=2L
12=2L
L=6
A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet
How to calculate the perimeter of a rectangle?A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(length + width)
Given
Perimeter = 30 feet
width = 12 ft
Substitute
30 = 2(l + 12)
15 = l + 12
l = 3 feet
Hence the length of thegarden if it is 12 feet wide is 3 feet
Learn more on perimeter of rectangle here: https://brainly.com/question/19819849
important question need help
Answer:
options 3 and 4
Step-by-step explanation:
The exponential function f with base a is defined by
f(x) = a^x
so the exponential functions are options 3 and 4
What is the answer to -12= x -5?
Answer:
Step-by-step explanation:
-12 = x-5
5-12 = x -5 + 5
-7 = x
there you go :)
Answer:
x = -7
Step-by-step explanation:
1. Write the equation.
-12 = x - 5
2. Since 5 is negative and we want to leave x by itself, add 5 to both sides. Adding 5 with cancel out the -5.
-12 +5 = x -5 +5
3. When you add +5 to -12, the equation you are left with will be:
-7 = x
Hope this helps :)
Which expression is equivalent?
Answer:
Option one is correct
Step-by-step explanation:
Hope it's helpful... :)
2 + 7(8-5x) - 25 - 2x please help!!!
Answer:
-37x + 33
Step-by-step explanation:
En la tienda de electrónica Se vende un televisor en 15480 pesos pero tendrá un descuento del 35% de su precio entonces cuánto costará el televisor y con el descuento
Respuesta:
Monto descontado = 5,418pesos
Nuevo precio de la televisión = 10.062 pesos
Explicación paso a paso:
Costo inicial de televisión = 15,480 pesos
Porcentaje de descuento = 35%
Cantidad descontada = 35% de 15,480
Cantidad descontada = 0.35 * 15,480
Monto descontado = 5,418pesos
Nuevo precio de la televisión = 15.480 - 5.418
Nuevo precio de la televisión = 10.062 pesos
Pls help i really need it rn-
This is just what I think, it might not be right- the first one is (-2, 4), the second one is (-5, 1), the third one is (-2, -2), and the fourth one is (1, 1).
(Sorry if it's wrong-)
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and Z CED are vertical angles and equal
76º.
ZABE and Z CBE are complementary angles.
BEC and Z CED are vertical angles.
BEA and AED are supplementary angles
whose sum is 180°
BEC and AED are adjacent angles.
Answer:
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
Step-by-step explanation:
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.
Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°
Two angles are adjacent if they are placed side by side and share the same vertex.
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEC and ∠CED are not vertical angles
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
∠BEA and ∠AED are not adjacent angles
Answers: A B D
Step-by-step explanation:
I did the quiz
What is the measure of angle x?
Answer:
c
Step-by-step explanation:
90+62= 152
180-152= 28
what is the answer to X-10=12
Answer:
x=22
Step-by-step explanation:
x-10=12
add 10 to each side..
x-10=12
+10 +10
12+10=22
x=22
im bad at explaining but hope it helps <3
Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Given y varies inversely as x, then;
y = k/x
If y = 5 when x = 9
5 = k/9
k = 5*9
k = 45
Substitute into the formula above;
y = k/x
y = 45/x
Hence the required inverse function is y = 45/x
What is the value of the expression (9 1/3)^3?
Answer:
rounded to the nearest hundredth the value is 813.04
Step-by-step explanation:
What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
tenth of a cubic meter?
The volume of a sphere with a diameter of 9.3 is 521.
what is Volume of sphere?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Volume of sphere is = 4/3*π*r³
d=9.3, radius= 9.3/2
Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65
= 421.16 m³
= 521
Learn more about volume of cylinder here:
brainly.com/question/16134180
#SPJ2
What is a value of y that satisfies the inequality below? y3≤12
Answer:
4
Step-by-step explanation:
because 4 Times 3 equals 12 so less than or equal to hope this helps
Answer:
y =4
Step-by-step explanation:
3y=12
3y/3=12/3
y=4
[tex]\sqrt{56x^2}[/tex]
Answer:
2( the thingy and inside) 14x
I will mark you brainliest if correct
Answer:
i think its 8.2
Step-by-step explanation:
what does 2x=3x-10 equal
Answer:
10
Step-by-step explanation:
2x - 3x = -10
-1x = -10
x = 10
Write 2^3 ÷ √ 2 as a single power of 2.
Answer:
Step-by-step explanation:
Numerator: 2^3
Denominator: 2^(1/2)
Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)
During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 54 centimeters in 6 days, what is the water level increase rate in centimeters per day
Answer:
7 centimeters per day.
Step-by-step explanation:
28 centimeters / 4 days = 7 centimeters per day
Answer:
9 centimeters per day
Step-by-step explanation:
54 centimeters / 6 days = 9 centimeters per day
A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?
Answer:
12 / 2.4 = 5
Step-by-step explanation:
So the man is filling the bucket at 5 gallons per minute.
Dont trust me I just did the math and that is what I got....
Sorry if it's wrong
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
I need help finding the missing value to this equation
-4x - y = 24
(__, 8)
Answer:
x=-8
Step-by-step explanation:
-4x-(8)=24
+8=+8
-4/-4x=32/-4
x=-8
Examples of consecutive even numbers would be 20, 22, 24, etc........What is the larger of the two, consecutive (positive) even numbers that have a product of 1848? Your answer will be a whole number; do not use any letters or special characters.
PLEASE HELP ME, AND THANK YOU!
What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall?
Answer:
The answer is 18.1
Help me plz and show work <3
Answer:
y = (5-2x)/7 = 5/7 - 2x/7. option C
Step-by-step explanation:
here's your solution
=> 7y + 2x = 5
=> 7y = 5 - 2x
=> y = (5-2x)/7
[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]
Help please. I need an answer quick please.
“Select all the graphs that show a proportional relationship”
Answer:
Step-by-step explanation:
The graphs of all proportional relationships go through the origin. The first graph satisfies this criterion; the second does not.
Help plsss hehshshisieieirirj for brainly pls
Answer:
4 yards
Step-by-step explanation:
11 1/2 feet is equal to 3.833333 and 4 yards is more than that.
Answer:
11 1/2 ft. < 4 yd
Step-by-step explanation:
I'm not sure if thats what your asking.
But 1 yard is 3 ft, so 4 yards is equal to 12 ft. Therfore 11 1/2 ft. < 4 yd.
If AB = 15, what is the length of DE?
12
14
16
18
Answer:
16
Step-by-step explanation:
Answer:16
Step-by-step explanation: