Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110
Answer: (a)
Step-by-step explanation:
Given
The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used
for 600 kWh in a month, [tex]b(x)[/tex] is
Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]
[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]
Therefore, the bill for a person is [tex]\$80[/tex]
A large western stare consists of 3872 million acres of land. Approximately 82% of this land is federally owned. Find the number of acres that are not federally owned.
Answer:
696.96 million acres of land
Step-by-step explanation:
Acres not federally owned = Percentage of acres not federally owned x total acres of land
Percentage of acres not federally owned = 100% - percentage of acres federally owned
100% - 82% = 18%
0.18 x 3872 = 696.96 million acres of land
On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?
Answer:
Sailing end at 3:15 AM
Step-by-step explanation:
Connor did archery and sailing before dinner (in that order).
He started at 12:00 PM
We know that:
In archery, Connor spent 1 hour and 15 minutes
In sailing, Connor spent 2 hours.
The total time spent is:
1 hour + 15 minutes + 2 hours
3 hours + 15 minutes.
Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:
3:15 AM
Sailing end at 3:15 AM
Determine whether the equation below has one solution, no solution, or infinitely many solutions: 3x − 15 = 3(x − 6)
Answer:
No solutions
Step-by-step explanation:
3(x-6)= 3x-18
3x=15≠3x-18
Find z.
What is the length of the missing leg?
b = _____ miles
Answer:
5√3
Step-by-step explanation:
tan30= 5/z
1/√3= 5/z
z= 5√3
Is (–9, 7) a solution to this system of inequalities?
x + y ≤ –7
7x − 4y > –4
Answer:
No
Step-by-step explanation:
[tex]7x-4y>-4[/tex]
[tex]7(-9)-4(7)>-4[/tex]
[tex](-63)-(28)>-4[/tex]
[tex](-91)>-4[/tex]
[tex](-9,7)[/tex] is not a solution to the system of inequality
Solve for w: v = 3p (w -r)
Answer:
Step-by-step explanation:
v=3p(w-r)
v=3pw-3pr
v+3pr=3pw
(v+3pr)/3p=w
Solve for X. Show your work.
Answer:
x=8
Step-by-step explanation:
The angles are vertical angles so they are equal
8x+36 = 5x+60
Subtract 5x from each side
8x+36-5x = 5x+60-5x
3x+36 = 60
Subtract 36 from each side
3x+36-36 = 60-36
3x =24
Divide each side by 3
3x/3 = 24/3
x=8
PLZZ anyone....l will give BRAINLIEST...
Step-by-step explanation:
x= how many members are in the group
x= 100/x
x= 100/(x-5)
x(x-5)=100
x^2-5x=100
x^2-5x-100=0
and then use the quadratic formula (i can't type it srry)
Answer:
25 membersStep-by-step explanation:
Initial number of members: x
Sum of money: K£ 100
Each had to pay: 100/x
Five members less, each paid K£1 more, we get equation:
100/x + 1 = 100/(x - 5)Multiply all terms by x(x - 5) and solve the quadratic equation:
100(x - 5) + x(x - 5) = 100x100x - 500 + x² - 5x - 100x = 0x² - 5x - 500 = 0x = (5 + √(5² + 4*500))/2 x = (5 + √2025)/2x = (5 + 45)/2x = 25The second root is ignored as negative.
If the area of the rectangle is 90 km?, then what is the value of the missing side?
A)
6 km
B)
10 km
15 km
D)
42 km
E)
54 km
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
Find the value of x. Using trig
Hi there! We can find the value of x by using this equation.
[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]
If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.
[tex] \large{arctan( \frac{19}{23} )} = x[/tex]
You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
x ≈ 0.7 (rounded)Questions can be asked through comment.
Hope it helps, and Happy Learning! :)
A line is perpendicular to y = 3/7x - 2 and intersects the point (3, 3). What is the equation of this perpendicular line?
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find b
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
GEOMETRY/10 POINTS
WHAT DOES B EQUAL TO?
WILL MARK BRAINLIST GOD BLESS U
Answer :
[tex]360 - 108 = 252\\since \ divided \ equally = 126 each\\so \ b = 126[/tex]
The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.
Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
A soccer league has 170 players. Of those players 60% are boys. How many boys are in the soccer league?
Answer:
102
Step-by-step explanation:
170*(60%) = 170 *0.6= 102
60% of the entire part is also 0.6
Use 3.14 for π Round to the nearest 100th if necessary A ball has a diameter of 20 inches. What is its volume?
Answer:
4186.67 cubic inches
Step-by-step explanation:
Volume of a sphere = 4/3 π r³
π = 3.14
Diameter = 20 inches
Radius = r = Diameter/2 = 20 inches/2 = 10 inches
Volume of the sphere = 4/3 × 3.14 × (10 inches)³
Volume of the sphere = 12560 ÷ 3
= 4186.6666667 cubic inches
Approximately to the nearest hundredth = 4186.67 cubic inches
Therefore, the volume of the ball is 4186.67 cubic inches.
Who's gonna answer my last math question??
Answer and Step-by-step explanation:
The answer would be A.
This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.
As for the other answers, it asks about the full range and not a specific number.
#teamtrees #PAW (Plant And Water)
Find the value for x?
Answer:
32°
Step-by-step explanation:
[tex]64 \div 2 = 32[/tex]
Answer:
32°
Step-by-step explanation:
They are vertically opposite angles hence equal ,
> 2x = 64°
> x = 64°/2
> x = 32°
I NEED THIS BY TODAY!!
Step-by-step explanation:
[tex](1. \: x = - \frac{y}{3} [/tex]
[tex](2. \: x = \frac{22 + 3y}{2} [/tex]
I think this is correct and what you wanted
Write an explicit formula for AN, the NTH term of the sequence 2, 4, 6
Answer:
2n.
Step-by-step explanation:
This an arithmetic sequence with a1 = 2 and d = 2
an = a1 + d(n - 1)
= 2 + 2(n - 1)
= 2n + 2 - 2
= 2n.
Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transformations can be used
to support Sara's claim?
A
a reflection over the y-axis, followed by a reflection over the x-axis.
B
a translation of 7 units to the left, followed by a translation of 8 units up.
С
a reflection over the x-axis, followed by translation of 4 units to the right
D
a rotation of 270° clockwise about the origin, followed by a reflection over the y-axis.
The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.
Given that Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2.
When a graph is reflected along an axis, it says x-axis, then that leads the graph to go just to the opposite side of the axis as if we can see it in a mirror.
If we study it more, then we will find that it is symmetric, however, each point is equidistant from the axis of reflection as that of the image of that point.
Therefore, The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.
Learn more about transforming functions here:
https://brainly.com/question/17006186
#SPJ5
Choose all the zeros of the quadratic function defined by the expression 2x2 + 5x - 12
Answer:
3/2 and -4
Step-by-step explanation:
that is the answer
a rectangular plot has a perimeter of 124cm. The width is 2cm shoter than the lengh.What is the area of the rectangle?
Answer:
[tex]area = 960cm^2[/tex]
Step-by-step explanation:
Perimeter = 2 x (length + width) ------(1)
Perimeter = 124cm
Let length be x
Given width is 2cm shorter than length , that width = x -2
[tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]
Length = 32cm
Width = 32 - 2 = 30cm
Area = length x width
[tex]= 32 \times 30 = 960cm^2[/tex]
HELP DUE IN 15 MINS!
x = ?? degrees
Answer:
VWU and FWT are vertical angles.
Their measure is same and:
VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°can u help me plz////
Answer:
∠1=102 ∠2=78
Step-by-step explanation:
Susan spent fifty dollars of the $250 she had in her savings account. What
percent of her money was still in the bank?*
Answer:
80%
Step-by-step explanation:
Sarah walks uphill at an average of 2 miles per hour, and downhill at an average of 4 miles per hour. She goes for a 6 mile hike up a hill, and then returns downhill by the same route. What is Sarah's average speed for the whole journey?
Answer:
48
Step-by-step explanation:
Answer:
Average of 3mph
Step-by-step explanation:
If Sarah goes uphill at 2mph and downhill at 4mph.
Then to find the average you can:
Add 2 plus 4
which equals 6
Then divide the sum of 6 by the number of values given, there are two values (2 and 4)
6 divided by 2 equals 3
So the average is 3mph
Someone please help me out!!
Answer:
1
when using a quadratic ration 1 is the formatted answer
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
D
Step-by-step explanation:
V = 4.5 ×5 ×2.5 = 56.25
(D )
Answer:
56 1/4 cm^3
Step-by-step explanation:
To find the volume,
V = l*w*h
= 2 1/2 * 4 1/2 * 5
Changing to improper fractions
= 5/2 * 9/2 *5
= 225/4
Changing back to a mixed number
56 1/4 cm^3