Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation:
The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.
Answer:
72
Step-by-step explanation:
3X+4X+3X=180
10X=180
X=180/10
X=18
3X=54 BOTH
4X=72
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
For more on trigonometric, check: https://brainly.com/question/6459892
The second term of an arithmetic sequence is –5, and the third term is –20. What is the first term?
Answer:
a₁ = 10
Step-by-step explanation:
The common difference d is calculated as
d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15
Then
a₂ - a₁ = d , that is
- 5 - a₁ = - 15 ( add 5 to both sides )
- a₁ = - 10 ( multiply both sides by - 1 )
a₁ = 10
common factor of 24 plz
Hey there!
Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.
24 = 1 × 2 × 2 × 2 × 3
24 = 2³ × 3 × 1
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
Hope it helps ya!
Find the missing angle measurement in each set of supplementary angles.
Answer:
126°
Step-by-step explanation:
180-54 = 126
Supplementary angles form 180°. Let's take the missing angle as 'x'.
54° + x° = 180°
x = 180° - 54°
x = 126°
=》 Angle LJK = 126°
______
RainbowSalt2222 ☔
hlp me with this math problem
Answer:
0.5l+0.2s
Step-by-step explanation:
0.10x5l equals 0.5l
0.10x2s equals 0.2s
Like terms can be ________
this is fill - up question
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Answer:
im pretty sure its D
Step-by-step explanation:
YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....
Answer:
Should be second option: (-6.5,-3.5)
The actual coordinates are (-6.4,-3.6) but the points are rounded.
Step-by-step explanation:
Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).
(I've graphed and labeled them for you above btw⤴⤴⤴)
Hope this helps you :)
A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.
Answer:
width of 3 units
Step-by-step explanation:
let 'w' = width
let '4+5w' = length
P = 2l + 2w
44 = 2(4+5w) + 2w
44 = 8 + 10w + 2w
36 = 12w
w = 36/12
w = 3
1.
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)^2
A. vertex, (3, 0); y-intercept 4.5
B. vertex, (–3, 0); y-intercept, 4.5
C. vertex, (–3, 0); y-intercept, 1.5
D. vertex, (3, 0); y-intercept, 1.5
Answer:
A. vertex, (3, 0); y-intercept 4.5
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 3 , 0 )
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s):
( 3 , 0 )
y-intercept(s):
( 0 , 4.5 )
2. Factor the expression. (1 point)
x² – 3x+2
(x+2)(x-1)
(x+2)(x+1)
(x-2)(x - 1)
(x-1) (x-3)
Factor x2−3x+2 using the AC method.
(x−2)(x−1)
BRAINLIEST?
X^2+5*x^3+7
Solve pls lol
don't know sorry
Step-by-step explanation:
sorry very very school
Answer:
5x^3+x^2+7
Step-by-step explanation:
How do you solve , (x-2)2 ?
Answer:
Distributive property of multiplication
Step-by-step explanation:
2(x-2)
Multiply 2 times x, multiply 2 times 2, so you get:
2x-4
Answer:
Does that help?
Step-by-step explanation:
I need help please..
Answer:
y=-1/2x+1
Step-by-step explanation:
the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b
Which of the following shows a translation of f(x) two units to the left?
a f(x + 2)
b f(x) – 2
c f(x – 2)
d f(x) + 2
Answer: D. f(x) + 2
Step-by-step explanation: if its not this then its B. f(x) - 2
a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3
$6.60 because 6.00 + 0.60 = 6.60
Solve for the value of t (photo)
19x+5+16x=180
I need help with this I don’t understand
Hello!
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19x+5+16x=180
First, add the x's together:
35x+5=180
Now, subtract 5 from both sides:
35x=180-5
35x=175
Divide both sides by 35 to isolate x:
x=5
Hope you find my answer helpful! Please give the crown if you do! (:
~SparklingFlower
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What is the value of x
Answer:
12Step-by-step explanation:
We know the hypotenuse and legs of 45° right triangle have ratio:
h ÷ l = √2 ÷ 1Substitute given values and find x:
x ÷ 6√2 = √2x = 6√2 × √2 x = 12GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?
The angle formed by the ribbon and the pole is 29°
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle formed by the ribbon and the pole.
Hence:
[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]
The angle formed by the ribbon and the pole is 29°
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Your first equation y=1/2(1+0.3)^t is going to be growth
Your second equation y=0.3(0.95)^t is going to be decay
Your third equation y=((1+0.03)^1/2)^2t is going to be growth
your fourth equation y=200(0.73)^t is going to be decay
your last equation y=4(1/4)^t is going to be decay
Step-by-step explanation:
You can find this by graphing each of you equations on desmos
Answer:
Step-by-step explanation:
See attachment
9 is what percent of 45?
Answer:
20%
Step-by-step explanation:
9/45 = 0.2
0.2*100 = 20
How long does it take the ball to hit the ground when dropped from 50ft.?
I hope it's about 1.8 sec
Harrison has 12 coins in quarters and nickels. He determines that they have a total value of $2.00.
a) Write a system of equations that could be used to find the number of each coin he has.
Answer:
See belowStep-by-step explanation:
Let the number of nickels is n, number of quarters is q.
We know that:
Nickel = 5¢, quarter = 25¢, $2 = 200¢As per given we can set the following system:
n + q = 125n + 25q = 200Solving this we get:
n = 5, q = 7Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
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Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
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YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!
Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.
Answer: 150,000 x3=450000 and 40,000-25,000=65000
65,000+450,000=515000 thats your answer
Step-by-step explanation:
Need helpppppp!!!!!!!!!!
Answer: 12, 15, 11, 28
Explanation:
14. FC is half of AC so the length of FC is 12.
15. BD is 30 and half of that is BC or 15. AB and BC have same length so it is also 15.
16. ED and BE have same length so it is also 11.
17. BD is twice of AB so if AB is 14, BD will be 28.
Would appreciate a brainly <3
Fill in the blank with the correct math term, and give an example of each.
A. A(n) ________is a mathematical relationship that uses one or more variables, numbers or operation symbols.
Example:
B. A(n)________is a symbol that can be replaced by a number in a mathematical expression or equation.
Example:
C. A(n)_________is a mathematical sentence with an equal sign
Example:
Hellooo! Can someone please help me with this. I’m struggling, and need help. if u can help i would appreciate it. Also on the example parts please give a example, thank u.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
C. A(n) equation is a mathematical sentence with an equal sign.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
Example: The variable "x" is used in the equation 2x + 3 = 7. It demonstrates the relationship that arises when "x" is multiplied by 2, added to 3, and the result is 7 as the outcome.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
Example: In the equation 3y + 2 = 11, "Y" is the variable. The equation can be solved by changing the value of "y," which can take on a variety of possibilities.
C. A(n) equation is a mathematical sentence with an equal sign.
Example: 4 + 5 = 9 is an illustration of an equation. It states that combining 4 and 5 yields the number 9. The equal symbol denotes the equality or balance of the two sides of the equation.
Explanation:
A. An equation is a statement that demonstrates the relationship between different quantities, variables, or numbers using mathematical operations. It might have a variable or several that need to be figured out in order to arrive at a particular value or link.
B. A variable is a symbol that is used to signify an ambiguous or fluctuating quantity in mathematical statements or equations. It is made flexible and generic to represent different values or relationships inside the confines of a mathematical issue.
C. An equation is a mathematical statement that establishes the equality of two expressions by using the equal sign. It indicates that the values of the two sides of the equation are equal or the same. In order to show mathematical relationships and properties, equations are frequently utilised.
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