Answers
Answer:
Step-by-step explanation:
a = b
Pythagorean Theorem:
b = 10/√2
The value of a and b is [tex]\frac{10}{\sqrt{2} }[/tex] .
What is trigonometric ratios?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
Hypotenuse of right angle triangle = 10
Base of of right angle triangle = a
Perpendicular of right angle triangle = b
Now,
By using trigonometric ratios
sin θ = Perpendicular/Hypotenuse ---------(1)
substituting the values in equation (1)
sin 45° = [tex]\frac{b}{10}[/tex]
[tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{b}{10}[/tex]
b = [tex]\frac{10}{\sqrt{2} }[/tex]
cos θ = Base/Hypotenuse
cos 45° = [tex]\frac{a}{10}[/tex]
[tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{a}{10}[/tex]
a = [tex]\frac{10}{\sqrt{2} }[/tex]
Hence, The value of a and b is [tex]\frac{10}{\sqrt{2} }[/tex] .
To know more about trigonometric ratios here:
https://brainly.com/question/1201366
#SPJ3
Related Questions
HELP HELP HELP PLSSSSSSS
Answers
verry very sorry for this
Consider the three functions below.
11
f(x) =
6
11
g(x) =
6
11
111* n(X) =
6
11
11
2
Which statement is true?
Answers
Answer:
I think the answer is C
Step-by-step explanation:
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
Domain : All real numbers since this is an exponential function.
Range : (0,∞)
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
So Option C : )The ranges of f(x) and h(x) are different from the range of g(x).
Someone help me with this question
Answers
the answer is 7 because thats what photo math told me
Answer:
7
Step-by-step explanation:
(8+56)÷4-3^2
PEMDAS:
(64)÷4-3^2
PEMDAS:
(64)÷4-9
PEMDAS:
(16)-9
7
hope this helps
greg spent $4 on $5 packs of sport cards. How much did greg spend on each pack?
Answers
greg spent $20 think
Step-by-step explanation:
i think you times
Answer:
20
Step-by-step explanation:
4x5
my old one got deleted by the way :/
Square ABCD is dilated by a scale factor of 1/3 to create square A’B’C’D’. Which statement is NOT true?
Answers
Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y = 55h + 110
Dan leaves at 1:10 and is traveling at 55 miles per hour.
Dan is 110 miles from home at noon and is traveling at 55 miles per hour.
Dan is 55 miles from home at noon and is traveling at 110 miles per hour.
Dan leaves at noon and is traveling at 110 miles per hour.
Answers
Answer:
Dan is 110 miles from home at noon and is traveling at 55 miles per hour
Step-by-step explanation:
Mathematically, we have the general equation of a linear model as;
y = mx + b
m represents the slope of the model
b is the y-intercept of the model
Mathematically, what we have here is that there is a plot of distance against time
Distance is on the y-axis
time is on the x-axis
Now, the coefficient of the x-axis value is the slope
From what we have, the slope value is 55 miles per hour
Now, we have the y-intercept at 110
So, what this mean is that the distance from home is 110
So the correct answer here is that;
Dan is traveling at 55 miles per hour and he is 110 miles away from home
plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended
Answers
Answer:
42
Step-by-step explanation:
42 i think
maybe 5
.....................
which equation represents a line parallel to the line shown on the graph
Answers
Answer:
y=2x+1
Step-by-step explanation:
Hey can you help me I'll mark brainlist (if correct)
Answers
Answer: D
Step-by-step explanation:
7×6^2 −3x
7×36−3x
which is 252-3x
Answer:
C: 246
Step-by-step explanation:
7 (2 + 4)² - 3 (2) = 7 (6²) - 6 = 7 (36) - 6 = 252 - 6 = 246
PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!
Answers
Answer:
sory bro i saw this question but i dont know answer
Add all values together, since your finding percentage of pink flowers you’ll do 20/82 which will get you the decimal 0.24 which is 24%
DESCRIBE what you would do to solve for the missing value in this problem. DO NOT SOLVE IT… just tell HOW you WOULD solve it.
?⋅35=2,380
Answers
Answer: divide by 35
Answer:
68
Step-by-step explanation:
Divide 2,380 by 35
It would by 68.
68 x 35 = 2,380
Plz help fast will mark the brainiest!!!
Answers
I know it looks like a lot. Hopefully it’s the right answer
-14.3 = -1.4 - 3d what is d
Answers
d = 4.3
Explanation:
Move the variable to the left-hand side and change its side.
3d = 1.4 + 14.3
Calculate the sum.
3d = 12.9
Divide both sides of the equation by 3.
d = 4.3
Solution:
d = 4.3
Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?
Answers
Answer:
he is11 years old cause when he was 1 walked was 5
Need help please. Need the answer now
Answers
Answer:
Step-by-step explanation:
4 because as shown below. An equilateral triangle has 3 lines of symmetry.
Answer:
D
Step-by-step explanation:
The zeros are the values of x on the x- axis where the graph crosses.
The graph crosses the x- axis at x = - 4 and x = - 6
Then x = - 4 and x = - 6 are the 2 zeros → D
Question 1. What is the solution to the following system?
y = -6x
y = 48
1. infinite solutions
2. (-6, -8)
3. (-6, 48)
4. (-8, 48)
Question 2. What is the solution to the following system?
2x + 7y = 3
y= -1
1. (5/7, -1)
2. (-1, 5)
3. (5, -1)
4. (5, -5)
(will give brainliest)
Answers
Answer:
Q1 2. Q2 3.
Step-by-step explanation:
to solve a system of equations, you would usually have to use either elimination or substitution. however, in both of these problems, Y is given directly so that's unnecessary
for these, all you have to do is plug in y and then solve for x, where x is then the first number in the ordered pair and y is the second number.
Q1 48/-6 = -8, so the answer is (-6,-8)
Q2 10/2=5, so the answer is (5, -1)
if you need me to explain the algebra steps in full I will, just let me know
What is the area of each shaded region? Use 3.14 for pie. PLS help this is due tonight
Answers
Answer:
Step-by-step explanation:
do this is 2 parts
total = square + 1/2 circle
area of a square is side * side or ... b/c the sides of a square are the same 2* side
area of a circle is Pi* r^2
total area = 12*12 + 1/2 * pi * 6^2
ta = 144 + 56.52
ta = 200.52
ta da.. :P total area is 200.52 [tex]ft^{2}[/tex]
find the height of the a parallelogram with an area of 63 square yards and base 9 yards
Answers
Answer:
7
Step-by-step explanation:
The formula for the area of a parallelogram is the same formula to get the area of a rectangle. In a rectangle, the height is the area divided by base. Therefore, the height of the parallelogram would simply be the area divided by base.
look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that has an infinite number of solutions
a.0
b.1
c.2
d.3
Answers
Plz help fast will mark the brainiest!!!
Answers
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?
Answers
Answer:
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex]
Required
Find V when
[tex]r = \frac{3}{2}x^3y^{-2[/tex]
Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]
Open bracket
[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]
[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]
Simplify the fractions
[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]
Let
[tex]\pi = \frac{22}{7}[/tex]
So:
[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]
[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
will give brainliest for correct answer ALGEBRA 2
Answers
Answer:
Vertical Translation Down 5
Step-by-step explanation:
-5 means its moving down
Hope this helps :)
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Answers
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]
Hence, the distance of point D from point C in the x-direction is:
[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]
Then, the distance of point D from point B in the y-direction is:
[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]
Therefore, the coordinates of the missing vertex (point D) are:
[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]
b) The area of the rectangle is:
[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]
The perimeter is given by:
[tex] p = 2*(3 + 6) = 18 units [/tex]
I hope it helps you!
idiixixixjdjdodjdjdijxdjdjj
Answers
Answer: 41
Step-by-step explanation:
You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2
Estimate 15.72 - 5.259 by rounding each number to the nearest tenth
Answers
Answer:
10.4
Step-by-step explanation:
15.72 rounds to 15.7 and 5.259 rounds to 5.3
Answer:
10.5
Step-by-step explanation:
15.72 - 5.259 =
10.461
10.461 = 10.5
I need help with this please
Answers
Answer:
5.5
Step-by-step explanation:
It asks for just the Stevens family, so the first sentence is a trick.
Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.
Help please it’s algebra 2
Answers
Answer:
Please refer to the attachment
Can anybody help me please hurry
Answers
Teresa has some photos on her computer on Monday. On Tuesday, she downloads 24 new photos. Then she delets 9 photos. She ends up with 33 photos. Explain how the equation p+424-9=33 represents the situaton. Then solve the equation for the variable p and interpret the solution.
Answers
Answer:
Teresa had 18 photos on her phone on monday
Step-by-step explanation:
Monday: 18
Tuesday: 42
42 - 9 = 33
Write "five more than a number" as a math expression help please
Answers
Answer:
It is 5 or x>5
Step-by-step explanation: