Answers
Answer:
[tex]\cot(\theta)=\sqrt{2}[/tex]
[tex]\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}[/tex]
[tex]\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\implies \theta=35.26438968...\textdegree \pm180\textdegree n[/tex]
[tex]\implies \theta=215.26438968...\textdegree[/tex]
⇒ Opposite side to angle = 1, Adjacent side to angle = √2
⇒ Hypotenuse = √(1² + √2²) = √3
[tex]\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}[/tex]
[tex]\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }[/tex]
[tex]\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}[/tex]
Related Questions
Solve the system of linear equations by elimination. Write your answer in the form (x,y)
-7x-8y=9
-4x+9y=-22
Answers
Answer:
Solution: (1,-2)
Step-by-step explanation:
System of Equations
Given the equations:
[tex]-7x-8y=9\qquad\qquad [1][/tex]
[tex]-4x+9y=-22\qquad\qquad [2][/tex]
We'll solve it by elimination. It means eliminating one of the variables by equating their coefficients. We select the variable y. To eliminate it, multiply the equation [1] by 9 and the equation[2] by 8:
-63x-72y=81
-32x+72y=-176
Adding up both equations:
-95x=-95
Solving:
x=-95/(-95)=1
x=1
Now to eliminate x and find y, multiply [1] by 4 and [2] by -7:
-28x-32y=36
28x-63y=154
Adding up both equations:
-95y=190
Solving:
y=190 / (-95) = -2
y=-2
Solution: (1,-2)
Need help finding the missing side of each triangle?
Answers
Answer:
x ≈ 11.6 m
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + 10.7² = 15.8²
x² + 114.49 = 249.64 ( subtract 114.49 from both sides )
x² = 135.15 ( take square root of both sides )
x = [tex]\sqrt{135.15}[/tex] ≈ 11.6 m ( to the nearest tenth )
C, D OR E PLEASE
help I will crown brainliest!!!!
Answers
Answer:
Step-by-step explanation:
c. y = (x^2 + 3)(x + 4)
y = x^3 + 4x^2 + 3x + 12
d. y = (x^2 + x) / √x
y = (x^2 + x) / x^1/2
y = x^2/ x^1/2 + x / x^1/2
y = x^(2 - 1/2) + x(1 - 1/2)
y = x^3/2 + x^1/2
or x = √(x^3) + √x
e. y = 5 /x^2
y = 5x^(-2)
help meeeeeee ASAP A triangle has side lengths of (r−10s) centimeters,(3r+2t) centimeters, and 2t−6s) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
−8s+4r−4t
−14st+6rt
4r+4t−16s
5rt−9rs−4st
Answers
The expression that represents the perimeter in centimetre of the triangle is 4r - 16s + 4t
Perimeter of a triangle
Perimeter of a triangle is the sum of the whole sides. The triangle has three sides. Therefore, the perimeter is the sum of the three sides.
The side length are as follows;
r - 10s3r + 2t2t - 6sTherefore,
perimeter = r - 10s + 3r + 2t + 2t - 6s
combine like terms
perimeter = r + 3r - 10s - 6s + 2t + 2t
perimeter = 4r - 16s + 4t
learn more on perimeter here: https://brainly.com/question/24661271
Answer: If you use this equatin you can g3et to the number of 8343 this isvvery truie and you shoould mark it on your paperthank you mysos n
Step-by-step explanation:
Question 10 (2 points)
D=M/V
Toy car has a mass of 250grams and a volume of 50cm3. What is the density?
a
9g/ml
b
9g/cm3
c
5g/cm3
d
5g/ml
Answers
Answer:
D
Step-by-step explanation:
mass =250 g abd volume = 50cm^3 = 50 ml
Density = mass/volume
Density = 250/50 =5 g/ml or 5g/cm^3
-2k+13=-8k-35
What’s k
Answers
Answer:
k = -8
Step-by-step explanation:
-2k+13=-8k-35
Add 8k to each side
-2k+8k+13=-8k+8k-35
6k +13 = -35
Subtract 13 from each side
6k+13-13 = -35-13
6k = -48
Divide by 6
6k/6 = -48/6
k = -8
Kellie is dlowed to watch up
to 90 minutes of TV per day.
If she watched 10 minutes
before school, how many 20-
minute TV episodes can she
watch after school?
Answers
90 min per day
10 min before school
=> she can watch TV during (90-10) 80 minutes after school
if each episode = 20 minutes
she will be able to watch 80:20 soit 4 episodes after school
Solve. x +1/4 > 3/4
A. x > 1/2
B. x >4/4
C. x > 3/4
D. x > 1 1/4
Answers
Answer:
x > 1/2
Step-by-step explanation:
x + 1/4 > 3/4
x > 3/4 - 1/4
[tex]x \: > \: \frac{3 - 1}{4} [/tex]
x > 2/4
x > 1/2
if coordinates of midpoint joining the points( -8,13 )and( x ,7) is( 4,10) then value of x is
Answers
What is the Area of a sector in a circle with radius 10 if the sector has a central angle of 172 degrees?
Answers
Step-by-step explanation:
area of square:
[tex]\pi \: r {}^{2} [/tex]
equation for area of sector:
[tex] \frac{172}{360} \times \pi \times {10}^{2} [/tex]
150.098315672
please double check if i typed this in correctly and add measurements to the answer when done :)
For problems 1 and 2, What is the most precise classification of the quadrilateral?
1.F(−13,7),I(1,12),N(15,7),E(1,−5)
2.Q(4,5),U(12,14),A(20,5),D(12,−4)
Answers
Are you given does types of quadrilateral
because if not you won't be able to answer the question
But if you are given send them and will take it from the
Find the area of the figure.
area
units2
Answers
Answer:
[tex]33 units^{2}[/tex]
I counted the squares.
which equation make the line shown here?
y=-5(x-2)-1
y=-5(x+2)-1
y=-5(x-1)-2
y=-5(x-3)+4
y=-5(x+3)+4
y=-5(x+4)-3
Answers
Answer:
y= -5(x+3)+4
Step-by-step explanation:
If f(x) = x^3, find x if f(x) = 1000
help!!
Answers
Answer:
x = 10
Step-by-step explanation:
[tex]\mathsf{given \ f(x)=x^3 \ and \ f(x)=1000}\\\\\mathsf{\implies x^3=1000}\\\\\mathsf{\implies x=\sqrt[3]{1000}}\\\\\mathsf{\implies x=10}[/tex]
What is 8546 divided by 2 [8546/2]
Answers
Hope this helps!
The total of sixty three and a number *
1 point
63 + n
n63
63 - n
63/n
Answers
Have an amazing day!
100 POINTS!!!
What is the rate of change of the following table?
EXPLAIN
Answers
Answer:
4
I think it is 4
.
Which expression is equivalent to (73)−2? (4 points)
1 over 7
1 over 7 times 7 times 7 times 7 times 7 times 7
negative 1 over 7 times 7 times 7 times 7 times 7 times 7
7
Answers
Answer:
The Answer is 1 over 7 times 7 times 7 times 7 times 7 times 7
Step-by-step explanation:
All you have to do is multiply the exponents.
[tex]7^{3*(-2)} =7^{-6}[/tex]
and the rule says :
[tex]x^{-a} = \frac{1}{x^{a} }[/tex]
So that means :
[tex]7^{-6} =\frac{1}{7^{6} } =\frac{1}{7*7*7*7*7*7}[/tex]
hope it helps ... have a good day
1 over 7 times 7 times 7 times 7 times 7 times 7 is equivalent to (73)−2.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here we have,
(7^3)(−2)
=7^(-6)
=1/7^6
=1/7*7*7*7*7*7
Hence, 1 over 7 times 7 times 7 times 7 times 7 times 7 is equivalent to (73)−2.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Estimate the following limit numerically.
limx→2x+3−2x−1
Answers
Answer:
Your answer is 0
Have a great day!
Find the length of the longer diagonal of this parallelogram.
Answers
Answer:
10.8
Step-by-step explanation:
Rounded to the nearest tenth
The length of the longer diagonal of this parallelogram is 10.8.
What are the definitions and properties of a parallelogram?A parallelogram is a rectangle with two pairs of parallel sides. The lengths of the opposite sides of the parallelogram are equal, and the angles of the opposite sides are the same. Also, the internal angles on the same side of the transversal are complementary. The sum of all internal angles is 360 degrees.
A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The lengths of the opposite or opposite sides of the parallelogram are equal, and the angles of the opposite sides of the parallelogram are equal.
Learn more about parallelogram here: https://brainly.com/question/970600
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get Money for answering this :)
Answers
Answer:
2
Step-by-step explanation:
hope it helps
plant a starts from 2 incher and grows at a constsnt rate of 3 inches every 4 week
Answers
The radius of the circle shown below is 3 inches.
What is the area of this circle, in square inches?
Answers
Answer:Multiply Pi (3.1416) with the square of the radius (r) 2. The radius can be any measurement of length. This calculates the area as square units of the length used in the radius. Calculated out this gives an area of 28.2744 Square Inches.
Step-by-step explanation:i hope this helps
Can someone add all this up?
Answers
Find the total area .
Answer:- First way :-Simple addition :- Add all the area for the solution
[tex]180 + 180 + 48 + 48 + 48 + 48 + 48 + 96 + 96 + 144 = 936 \: ft {}^{2} [/tex]
Second method:-Take common and then multiple and then add
[tex]180 + 180 + 48 + 48 + 48 + \\ 48 + 48 + 96 + 96 \\ taking \: common \: out \: \\ 180(1 + 1) + 48(1 + 1 + 1 + 1 + 1) \\ + 96(1 + 1) + 144 \\ 180(2) + 48(5) + 96(2) + 144 \\ (360 + 240 + 192 + 144)( {ft}^{2} ) \\ 936 {ft}^{2} is \: your \: total \: area[/tex]
Points A, B, C, and D are on the same line segment. The length
of AB is 2 cm, the length of BC is 3 cm, and the length of BD
is 6 cm. Which of the following is NOT a possible order of
points on the line segment?
F. ABCD
G. BACD
H. DABC
J. BADC
K. DCBA
SHOW EXPLANATION
Answers
Answer:
english man english
Step-by-step explanation:
Write the coordinates of the vertices after a translation 4 units left.
Answers
Answer:
Step-by-step explanation:
Describe how the graph of f ( x ) = 1 x + 5 will differ from the graph of g (x) = 1/x
Answers
Answer:
parent function is the simplest form of the type of function given.
The transformation from the first equation to the second one can be found by finding , , and for each equation.
Find , , and for .
Find , , and for .
The horizontal shift depends on the value of . The horizontal shift is described as:
- The graph is shifted to the left units.
- The graph is shifted to the right units.
Horizontal Shift: None
The vertical shift depends on the value of . The vertical shift is described as:
- The graph is shifted up units.
- The graph is shifted down units.
Vertical Shift: None
The sign of describes the reflection across the x-
Can u solve this for me guys
The second exercices are equations
Answers
Answer:
the answer for number one is -2851/5 simplified its -570 1/5 or -570.2
(u can use photo math)
Step-by-step explanation:
-3 1/4 x+25 =2 1/4x-13 1/2
Answers
Answer:
x = 5348/45
Step-by-step explanation:
Tom earns $15.50 per hour at the Yankee Bowling Alley. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 42 hours. What was his gross pay for the week?
Answers
Hello
40 x 15.50 + 2 x 15.5 * 1.5 = 620 + 46.5 = 666.5 $