Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
a) Find csc ∅, given that cot ∅ = -7/2 and cos ∅ < 0
b) Find cot ∅, given that cos ∅ = 15/17 and ∅ is in Quadrant IV
Answer:
a) csc∅ = √53/2
b) cot ∅ = 15/√514
Step-by-step explanation:
a) The value of cot ∅ = -7/2
cos ∅ < 0
We note that cos(∅) is less than 0 in Quadrant II and III, and cot(∅) is less than 0 in the Quadrant II, therefore, we have;
∅ is in the Quadrant II
csc∅ = (√((-7)² + 2²))/2 =√53/2 ≈ 3.64
csc∅ = √53/2
b) cos∅ 15/17
∅ is in Quadrant IV
∴ cot ∅ = 15/(√(15² + 17²)) = 15/√514 ≈ 0.662
cot ∅ = 15/√514
Which of the following pairs of functions are inverses of each other
Answer:
[tex]f(x) = 5x -11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
Step-by-step explanation:
Required
The inverse pairs
Solving (a):
[tex]f(x) = 5x -11[/tex] [tex]g(x) = \frac{x + 11}{5}[/tex]
Calculate the inverse of f(x)
[tex]f(x) = 5x -11[/tex]
Replace f(x) with y
[tex]y = 5x - 11[/tex]
Swap x and y
[tex]x = 5y - 11[/tex]
Solve for y
[tex]5y = x + 11[/tex]
[tex]y = \frac{x + 11}{5}[/tex]
So, we have:
[tex]g(x) = \frac{x + 11}{5}[/tex]
Hence, f(x) and g(x) in (a) are inverse functions
Others are not
set up an equation and solve for x! 25 points!
Answer:
7
Step-by-step explanation:
70+16x-2
68+16x=180
16x=180-112
x=112/16
x=7
Answer:
x = 7
Step-by-step explanation:
70 + 16x - 2 = 180 degree (being co interior angle)
68 + 16x = 180
16x = 180 - 68
16x = 112
x = 112/16
x = 7
A circle passes through the point (2,2) and has its center at (1,-3). The radius of the circle is _ units.
Answer:
radius = [tex]\sqrt{26}[/tex] units
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Using the distance formula to calculate r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (1, - 3)
r = [tex]\sqrt{(1-2)^2+(-3-2)^2}[/tex]
= [tex]\sqrt{(-1)^2+(-5)^2}[/tex]
= [tex]\sqrt{1+25}[/tex]
= [tex]\sqrt{26}[/tex]
The tour operators thought it would be a good idea to get a souvenir T-shirt for each customer who went on the Ocean Bike Tour. They found a company who would sell them shirts with their logo for $6.25 per t-shirt. In your answer box, create a table like the one below and fill in the missing costs for 1 t-shirt up to 8 t-shirts.
Question 10: complete the segment addition postulate the following segment
Answer:question AB +BD= AD
BC+CE=BE
Step-by-step explanation:
segment addition postulate
Complete the equation of the line through
Answer:
this at all so yea
Step-by-step explanation:
hihkjfnkjerbfjbfr
In order to answer this question, remember that gasoline costs $2.56/gallon and the tank takes 15 gallons.
You have another person who wants to carpool with you and your friend. The tank will be split evenly. How much do you and your friend each save by having a third person sharing the tank of gas?
Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did she eat on
a. the third day?
b. the first day?
Answer:
this means she ate an average of 30 raisins each day
so she ate 30 on the third day
so the amount she ate each day is like this
1. 16
2. 23
3. 30
4. 37
5. 44
16 + 23 +30 +37 +44=150
Answer:
a. 30 b. 16
Step-by-step explanation:
n=number of days
a1= raisins she at on 1st day
d=increase per day
n(a1+an)/2
5(a1+a1+d(n-1))/2=150
5(2a1+4d)=300
d=7, 10a1+20(7)=300
a1+14=30
a1=16
a. a1+2d 16+14=30 b. 16
The volume of a cylinder, V, in terms of radius, r,
and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.
Answer:
See explanation
Step-by-step explanation:
Volume of a cylinder = πr²h
Solve for r
V = π * r² * h
r² = V/πh
Find the square root of both sides
r = √V/πh
If height = 6 meters and volume = 300 cubic meters. Find r
r = √V/πh
= √(300/3.14*6)
= √(300/18.84)
= √15.923566878980
r = 3.9904344223381
Approximately,
r = 4 meters
The class aquarium holds 2 gallons of water. How many cups is this? How many fluid ounces is this?
Step-by-step explanation:
2 gallons = 2× 16 = 32 cups
2 gallons = 2 × 128 = 256 fluid ounces
In 32 cups the class aquarium holds 2 gallons of water.
In 256 ounces the class aquarium holds 2 gallons of water.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other.
In other words, the proportion states the equality of the two fractions or the ratios.
The class aquarium holds 2 gallons of water.
1 gallon = 16 Cups
The class aquarium holds 2 gallons of water in the number of cups is;
2 gallons = 2× 16 = 32 cups
In 32 cups the class aquarium holds 2 gallons of water.
The class aquarium holds 2 gallons of water in the fluid ounces is;
1 gallons = 128 ounces
2 gallons = 2 × 128 = 256 fluid ounces
In 256 ounces the class aquarium holds 2 gallons of water.
Learn more about proportion here;
https://brainly.com/question/21636882
#SPJ2
Mia takes a job with a starting salary of $40,000 for the first year. She earns a 3% increase each year. Write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, Sn, and r represent (use a_n to represent an).
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Step-by-step explanation:
determine the equation of the circle graphed below .
Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
Which of the following best describes a basic postulate of Euclidean geometry?
Answer:
D option
Step-by-step explanation:
Hope this helps
18 2by5-4 1by10 find the difference
Given:
The expression is:
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
To find:
The difference.
Solution:
We have,
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
It can be rewritten as:
[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]
[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]
Taking LCM, we get
[tex]=\dfrac{184-41}{10}[/tex]
[tex]=\dfrac{143}{10}[/tex]
[tex]=\dfrac{140+3}{10}[/tex]
[tex]=14\dfrac{3}{10}[/tex]
Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].
help pls it’s due in 2 hours
Step-by-step explanation:
tan < BCA = x/y = 3/18= 0.1667
< BCA = arc tan 0.1667 = 9.464° => 9.46°
Which quadratic is written in graphing formRequired to answer. Single choice.
(10 Points)
f(x ) = 2x+4x^2+10
f(x ) = (x+2)^2+4
f(x) = (x+5)(x+4)
f(x) = 3x +7
Answer:
option B
Step-by-step explanation:
Option B is in vertex (or graphing ) form.
recall the equation for graphing form of a quadratic is
[tex]y = (x - h)^{2} + k[/tex]
Abox of twelve granola bars was $3.60. What was the unit cost per bar?
Answer:
cost of 12 bars = $3.60
cost of 1 bar = $3.60 ÷ 12
= $0.3
hope it helps
have a nice day
Answer:
$0.30
Step-by-step explanation:
12 granola bars = $3.60
1 granola bars = $3.60/12 = $0.30
Which theorem proves that the triangles are congruent?
A. AAS
B. ASA
C. SAS
D. SSS
Answer:
D. SSS
Step-by-step explanation:
SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.
Answer:
SSS
Step-by-step explanation:
We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )
However, does these questions will be marked as brantliest !!!!
Answer:
i don't see questions but I'll go download the app on your picture:))
4.79 × 10^-6
0.0000000734
Hope this helps! :)
I need help with math
I hope you understand....
Mark me as brainliest....
Thanks...
b = 9, c = 16
a =
help please ;(
Answer:
right triangle ?
a = 13.288 ?
Step-by-step explanation:
[tex]c^{2}[/tex] - [tex]b^{2}[/tex] = [tex]a^{2}[/tex]
256 - 81 = 175
[tex]\sqrt{175}[/tex] = 13.288
The table represents the function f(x).
What is f(3)?
Answer:
f(3) = 9
Step-by-step explanation:
In the given figure,
when x=3,
f(x)=9
substituting x=3 in f(x),
=> f(3)=9
how many centimeters are in 5 inches? 1in. = 2.54 cm
5 in. = ?
solve px-18=4 for x
Answer:
x=22/p
Step-by-step explanation:
1. Add 18 to 4
2. px=22
3. Divide by p to isolate x
4. 22/p=x
Answer:
x = 22 ÷ p
Step-by-step explanation:
px - 18 = 4
px - 18 + 18 = 4 + 18
px = 22
p · x = 22
x · p = 22
x · p ÷ p = 22 ÷ p
x = 22 ÷ p
Evaluate the function
Answer:
224
Step-by-step explanation:
f(-7) = 4(-7)^2 - 4(-7)
=196 + 28
=224
Thank you if anyone help me
Answer
The answer is y= x-3
- - - - -
5
Explanation
Replace
f(x) with y.
y =5x+3
Swap x and y.
x =5y+3
Solve for y.
x - 3=5y
x-35=y
factorise x squared + x - 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
Answer:
(x + 4)(x - 3)
Step-by-step explanation:
Given
x² + x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3 , since
4 × - 3 = - 12 and 4 - 3 = + 1 , then
x² + x - 12 = (x + 4)(x - 3) ← in factored form
Volume=
A) 91 2/3 pie cubic units
B) 275 pie cubic units
C) 36 2/3 pie cubic units
the volume is 1/3 * height *area of the base (the circle) in cubic units
the area of the circle is pi*r²
wich gives us
1/3 * 11 * pi * 5²
rearrange
= 5² * 11 * 1/3 * pi
= 25*11*1/3*pi
= 275*1/3*pi
= 275/3 *pi
= (91 2/3)*pi
in cubic units
so your answer is the first option
I need help please please!!!
Answer:
y = 91
Step-by-step explanation:
y = 5² + 10(5) + 16
y = 25 + 50 + 16
y = 91