Answers
Answer: x = 21; y = 29.5
because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°
we also have: (3x - 4)° = 59° ( because of 2 parallel lines)
⇔ 3x = 59 + 4 = 63
⇔ x = 63/3 = 21
Step-by-step explanation:
Related Questions
Help Asap!
find the equation that is parallel to a line 5x-2y=14 and passes through the point (-3,2)
Answers
Answer:
y=-5x-13
Step-by-step explanation:
y=-5(-3)-13
An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?
Answers
Complete question :
An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
1) What is the total amount in the account if the interest rate for the account is 3% each year?
Answer:
2,431.311498
Step-by-step explanation:
Given that:
Growth factor (x) = (1 + r) per year
If rate (r) = 3% = 0.03
x = 1 + 0.03 = 1.03
Amount in account after 4 years is given by the function :
A(x)= 800x^4 + 350x^3 + 500x^2 + 600x
Put x = 1.03 to obtain the total amount ;
A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)
= 2431.311498
Hence, total amount in account after 4 years = 2,431.311498
finding the domain and range
Answers
Answer:
Domain: -inf to inf
Range: -1, inf
Step-by-step explanation:
Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?
Answers
Answer:
speed=distance÷time
Step-by-step explanation:
time×speed=distance
distance =6×0.16=0.96 km
Least common denominator of 6/7 and 5/14
Answers
Answer:
14
Step-by-step explanation:
You can‘t simplify 5/14 because 5 is a prime number. So, now you have to convert the 6/7 to 12/14 to match it up to 5/14. They now have a common denominator of 14.
Hope this helps! :)
Prove that this equation is true.
Answers
First to answer
Answer:
The answer is True:
Let's solve your equation step-by-step.
1/n−1 = 4/15
Step 1: Cross-multiply.
1/n−1 = 41/ 5
(1)*(15)=4*(n−1)
15=4n−4
Step 2: Flip the equation.
4n−4=15
Step 3: Add 4 to both sides.
4n−4+4=15+4
4n=19
Step 4: Divide both sides by 4.
4n/4=19/4
n=19/4
simplify:
19/4 = 4.75
4.75 in decimal for is equal to 4 3/4
50 ton is what percent of 85?
Answers
Answer:
58.82
Step-by-step explanation:
Answer:
58.8
Step-by-step explanation:
I think it’s 58.8 sorry if it isn’t
When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the oven heat up in 1 minute?
Answers
Given:
Oven's temperature rose 3 degrees in [tex]\dfrac{1}{6}[/tex] of a minute.
To find:
How much will the oven heat up in 1 minute at that rate?
Solution:
According to the question,
Oven's temperature rose in [tex]\dfrac{1}{6}[/tex] of a minute [tex]=3 \text{ degrees}[/tex]
Oven's temperature rose in 1 minute [tex]=6\times 3 \text{ degrees}[/tex]
[tex]=18 \text{ degrees}[/tex]
Therefore, the oven's will heat up 18 degrees in 1 minute.
Answer:
18
Step-by-step explanation:
therefore it will be 18 degrees in 1 min
what a fraction has numerator 12 and is equivalent 3/4?
9/12
12/13
9/16 or 12/16
Answers
Answer:
Step-by-step explanation:
9/12
Random Questions To Answer For Points.
1) Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who walks 42 feet in 6 seconds?
Answers
Answer:
The rate is the distance divided by the time.
60 feet in 10 seconds = 60 ft / 10 sec = 6 ft / sec
42 feet in 6 seconds = 42 ft / 6 sec = 7 ft / sec <--- We have a winner!
Step-by-step explanation:
What is the average rate of change of the function from x=-5 to x=7
Answers
Find the slope of the line that passes through (9,8) and (6,4)
Answers
Answer:
the slope is 4/3
Step-by-step explanation:
your welcome :D
Answer:
slope=2
Step-by-step explanation:
(3,2)
(7,10)
10-2=
7-3=
8/4=2/1=2
Write an equation of the line with a slope of 2 and y-intercept of 9.
y=
Answers
please can you answer this whole page please
Answers
Answer:
.......................................................................................
Len is planning a three-hour trip down the Allenem River and back to his starting point. He
knows that he can paddle in still water at 3 milh and that the rate of the current is 2 milh.
How much time can he spend going
downstream?
Answers
Answer:
Step-by-step explanation:
resources. This includes fostering the wisest use of our land and water resources, ... Back Cover: Geologist John B. Mertie exploring the Brooks Range, April 1924. ... I would like to thank Lynn Horvath for her wise counsel and ... focuses more broadly on exploration as a his- ... he paused several times to meet with Eskimo.
Need help ASAP!?
Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5
Answers
Answer: The correct answer is B) 19.5(sin35)
Step-by-step explanation:
I took the practice
Solve for y.
-2(y-7) =9y – 30
Simplify your answer as much as possible.
Answers
Answer:
y=4
Step-by-step explanation:
-2(y-7)=9y-30
Do distributive property-2y+14=9y-30
Move the terms-2y-9y=-30-14
Collect like terms-11y=-30-14
Calculate the difference-11y=-44
Divide both sides by -11y=4
HELP ONLY DO 3,1,2 ITS ONLY # PROBLEMS PLZZZZZZZZZZZZZZZZZZZZZZ
Answers
Answer:
3. 68.44
2.25 percent
1.86
Write the equation of a vertical line that goes through (2,-1)
Answers
VĂ ROG AJUTOR URGENT DAU COROANĂ VĂ IMPLOR
Cercul cel mai mare are raza a unitati (imagine atasată). Cercurile cele mai mici au raza de c unitati. Celelalte doua (medii) au raza de b unitati. Stiind ca toate cercurile sunt tangente, demonstrati ca a : b : c = 6 : 3 : 2.
Stiu ca trebuie sa folosesc Pitagora si sa arat ca a=3c. Dar in rest m-am blocat si e super importanta problema. Va multumesc FOARTE mult. Puteti efectiv doar sa mi dati hints pentru ca de abia mi-am facut contul si am doar 25 de puncte. V-as fi dat 100.
Answers
mathematic that is not math
if AB = BC and BC = CD, then AB = CD
Answers
Answer:
correct
Step-by-step explanation:
There are some parallelograms that are rectangles.
A. True
B. False
Answers
What is 5/9+7/12? as a fraction in simplest form?
Answers
Answer:
1 5/36
Step-by-step explanation:
To add fractions, you need to have a common denominator between the two fractions.
In this case, the lowest common denominator would be 36. Convert each fraction.
5/9 = 20/36 (multiply the numerator and denominator by 4)
7/12 = 21/36 (multiply top and bottom by 3)
20/36 + 21/36 = 41/36
Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.
Hope this helps!
What is the standard form of –23f² + f/2 = –√3?
Answers
Answer:
y = -23f^2 + 1/2f + √3
Step-by-step explanation:
Standard form: y = ax^2 + bx + c
x = f
a = -23
b = 1/2
c = √3
–23f² + f/2 = -√3
-23f² + f/2 + √3 = 0
y = -23f^2 + f/2 + √3
y = -23f^2 + 1/2f + √3
8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 customers 16 minutes 8 customers 16 minutes Resize the right columns to represent the unit rate. Resize these You must answer all questions above in order to submit.
Answers
Answer:
2min/customerStep-by-step explanation:
If 8 customers entered a store over the course of 16 minutes, then;
8 customers = 16 minutes.
The rate at which the customers are entering is expressed as;
Rate = Time (in minutes)/amount of customers;
Given
Time = 16 minutes
Amount of customers = 8 customers
Rate = 16min/8customers
Rate = 2min/customer
Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.
Find the distance when y2=9, y1=13, x2=4, and x1=0.
Answers
Answer:
Tthe distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:
[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]Step-by-step explanation:
Given the points
[tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex][tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex][tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(4-0\right)^2+\left(9-13\right)^2}[/tex]
[tex]=\sqrt{4^2+4^2}[/tex]
[tex]=\sqrt{4^2\cdot \:2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{2}\sqrt{4^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=4\sqrt{2}[/tex]
Therefore, the distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:
[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]If y = 12 when x = 6, determine y when x = 18.
Answers
James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would the new balance of the account be after 3 years?
Answers
Given :
James puts $3,500 into a savings account that earns 2.5% simple interest.
He does not touch that account for 3 years.
To Find :
The new balance of the account be after 3 years.
Solution :
Interest on $3500 after 3 years is :
[tex]I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5[/tex]
So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5 .
Hence, this is the required solution.
A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.
Answers
Answer:
167%
Step-by-step explanation:
1800/300=$6 apiece
6x = 10
10/6 = x
x = 1.67, or 167%
There is a wall of 13 feet long and you want to hang three equally-sized travel posters of 2 feet width, on a wall so that the posters on the ends are each 1.75 feet from the end of the wall. You want the spacing between posters to be equal. Write and solve an equation to determine how much space you should leave between the posters.
Answers
Answer:
Spacing between the posters will be 1.75 each
Step-by-step explanation:
We are given
The length of the wall = 13ft
width of the poster = 2ft ⇒2*3=6ft for three posters
Poster's from end of the wall = 1.75*2 = 3.50ft
let the spacing be = x ⇒ 2x for two spacing between three posters
Total length of the wall = 6 + 3.50 + 2x = 13
2x + 9.50 = 13
2x = 3.50
x = 1.75ft
So the spacing between the posters will be 1.75 each