Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?
Answer:
33 CarsStep-by-step explanation:
132 / 4 = 33
Therefore,
The answer is,
33 CarsPlease help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?
Answer:
4.5
Step-by-step explanation:
Express 27x81 as a power of 3
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
Please help me ! Find y
A rectangular garden is to be made from 98 feet of fencing. If one side of the garden is to
be the side of the house, find the dimensions that would maximize the area.
To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3
Answer:
Option A. is correct
Step-by-step explanation:
Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.
For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.
Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]
Like terms need to be combined to write the polynomial in standard form
Here, like terms are [tex]3x^3,2x^3[/tex]
Option A. is correct.
Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.
Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.
Answer:
The surface area of the log including the ends and the inside is 80424.8 cm²
Step-by-step explanation:
To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.
From the question,
Diameter of log = 60 cm
Length of log = 3 m = 300 cm
Diameter of hollow center = 20 cm
For the surface area of the outer part,
Area of the outer part = Circumference of the outer part × length
Circumference = 2πr = πd
∴ Area of the outer part = πd × l
(NOTE: d here is the diameter of the log)
d = 60 cm and l = 300 cm
Area of the outer part = 60π × 300 = 18000π cm²
For the surface area of the inner part,
Area of the inner part = Circumference of the inner part × length = πd × l
(NOTE: d here is the diameter of the hollow center)
d = 20 cm and l = 300 cm
Area of the inner part = 20π × 300 = 6000π cm²
For the surface area of one end
This is the difference between the area of the outer end and the area of the inner end
Here, we can determine the area by using
Area = πr², where r is the radius
Radius = Diameter / 2
Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm
Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm
∴ Surface area of one end = πR² - πr² = π(R²-r²)
= π (30²-10²)
= π (900 - 100)
= 800π cm²
This is the area of one end
For the two ends,
Area of the two ends = 2 × 800π cm² = 1600π cm²
Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²
Surface area of the log = 25600π cm²
Putting the value of π (π = 3.141592654)
Surface area of the log = 25600 × 3.141592654 cm²
Surface area of the log = 80424.77193 cm²
Surface area of the log = 80424.8 cm²
Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)
Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)
By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G
Answer:
5x-y +42=0
Step-by-step explanation:
Using m=Y2- Y1
X2- X1
the slope of the line is found .
Put your answer in Y - Y1 = m( X - X1)
to get the equation
A vine called the mile-a-minute weed is known for growing at a very fast rate it can grow up to 0.25 ft per day. How fast in inched per hour can the mile-a-minute weed grow up to?
Answer:
it can grow .125 inches an hour
Step-by-step explanation:
if thats not what u were looking for commet it and ill try to help more
Answer:
.125 inches per hour
Step-by-step explanation:
you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.
Which Polygons are similar to A? PLEASE ANSWER QUICKLY
Answer:
B and C are similar to A but E is same as A.
Please help me out! Help me please! This is so important!
The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!
Answer:
there are 30 boys
Step-by-step explanation:
If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.
A ratio of 4:5 means that for every 4 girls, there are 5 boys.
24 girls / 4 girls = 6
5 * 6 = 30 boys
There are 30 boys if there are 24 girls
Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.
Answer:
The answer is below
Step-by-step explanation:
The electrical resistance R of a wire varies inversely with the square of its diameter d:
R ∝ 1 / d
Let k represent the constant of proportionality, hence we can represent the statement as an equation:
[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]
Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked
what is the constant of proportionality and equation?
Answer:
The constant of proportionality is 2 it is y=2x
Step-by-step explanation:
Each time the number goes up it goes up by two i hope this helps have a nice day
2. Solve in two ways
1/2 +1/4
Answer:
Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped
SOMEONE PLEASE HELP QUICK
Help please for brainliest
what is 35% as a fraction
Answer:
7/20
Step-by-step explanation:
Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).
f(x)=________
Answer:
Step-by-step explanation:
Find the question attached.
Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors
Multiplying the factors together we have;
= x((x-(5+3i))
= x(x-5-3i)
= x²-5x-3xi
Hence the polynomial expression of the zeros is x²-5x-3xi
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
What are the total expenses for a month if someone spends $900 on rent,
$290 on groceries, $55 for electric, $30 for water, $70 for car insurance,
$145 on entertainment, $87 on gas, $40 on clothes, and $56 on sports.
Answer:
$1673
Step-by-step explanation:
$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673
Find the value of x.
(A) 16 (B) 41 (C) 5 (D) 25 (E) 66
Answer:
D. 25Step-by-step explanation:
D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .Thank you ☺️☺️☺️
The table below shows the location of four treasure chests relative to sea level. Which treasure chest is the farthest away from sea level?
a 0.75 foot
b 5/4 feet
c -0.5 foot
1 foot
Answer:
Step-by-step explanation:
sea level means negative so it have to be C -0.5 foot
problem solved
Factor tree for 14 i reeaallyy
Answer:
I need points lol well I kinda have no idea what ur taking abt
Answer:
the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
6. Find CA*
Please help it’s so confusing
Answer:
The answer is 19.
Step-by-step explanation:
3x+1+12=9x+1
3x+13=9x+1
13=6x+1
12=6x
x=2
3(2)+1+12=19
Answer:
CA = 19
Step-by-step explanation:
3x + 1 + 12 = 9x + 1
combine like terms
3x + 13 = 9x + 1
Subtraction property of equality
3x - 3x + 13 = 9x - 3x + 1
13 = 6x + 1
Subtraction property of equality
13 - 1 = 6x + 1 - 1
12 = 6x
Division property of equality
12/6 = 6x/6
2 = x
Symmetric property of equality
x = 2
Substitute x for 2
9(2) + 1 = 19
Use inductive reasoning to predict the next three numbers in the pattern.
Home
3, 5, 8, 13, 21, 34, ...
nents
Predict the next three numbers in the pattern.
3, 5, 8, 13, 21, 34,
Answer:
The next three terms are 55,89 and 144
Step-by-step explanation:
We want to predict the next three numbers in the pattern
3, 5, 8 , 13 , 21 , 34
The difference between two successive terms is written between them.
Thus, we have
3 2 5 3 8 5 13 8 21 13 34
So the rule here is to add the next term to the previous so as to get the next coming term
Thus, we have;
34 + 21 = 55
55 + 34 = 89
89 + 55 = 144