<3 and <4 are vertical. m<3=5x+22 and m<4=7x+2. Find the measure of each angl.
Answer:
72°
Step-by-step explanation:
Vertical angles are congruent.
m∠3 = m∠4
7x + 2 = 5x + 22
2x = 20
x = 10
m∠3 = m∠4 = 72°
Rectangle ABCD is congruent to rectangle HGJK.
Rectangles A B C D and H G J K are shown. The length of A B is 11 inches. The length of K H is 18 inches.
What is the area of rectangle ABCD?
square inches
Answer:
It is 198
Step-by-step explanation:
(Width)(Height)
mutliply (11) times (18)
The area of rectangle ABCD is 198 square inches
The given parameters are:
[tex]\mathbf{AB = 11}[/tex]
[tex]\mathbf{KH = 18}[/tex]
Because the rectangles are congruent, then:
[tex]\mathbf{HG = AB = 11}[/tex]
[tex]\mathbf{KH = DA= 18}[/tex]
So, the area of rectangle ABCD is the product of side lengths AB and DA
So, we have:
[tex]\mathbf{Area = AB \times DA}[/tex]
Substitute values for AB and DA
[tex]\mathbf{Area = 11 \times 18}[/tex]
[tex]\mathbf{Area = 198}[/tex]
Hence, the area of rectangle ABCD is 198 square inches
Read more about areas at:
https://brainly.com/question/9655204
3. $590 is deposited into a
savings account that earns
4.3 % simple interest for 3
years.
Answer:
615.37
Step-by-step explanation:
590 x 1.043
Hope I helped!
Joanne designs and sells t shirts through an online forum. she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt. She charges 6 dollars per shirt. Determine how many t shirts Joanne needs to sell in order to break even.
Answer:
20 shirts
Step-by-step explanation:
We are told she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt.
Total cost of production is;
80 + 2t
Where t is number of t-shirts.
We are told that She charges 6 dollars per shirt.
This means that total revenue from sales is; 6t
Now,in economics or business, break even point is the point where revenue and total cost are equal.
Thus, break even point will be at;
80 + 2t = 6t
6t - 2t = 80
4t = 80
t = 80/4
t = 20 shirts
Can you solve this?: 5+2x=12+x
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
I cant find the answer.
Answer:
The numerator is 3, so the whole thing would say 3/11=12/44
Step-by-step explanation:
divide the second fraction down as much as possible, and you will get 3/11.
12 divided by 4 equals 3
44 divided by 4 equals 11
so 3 is the numerator and 11 is the denominator
Answer:
3
Step-by-step explanation:
lets make teh blank x
x/11 = 12/44
x/11 = 3/11
x = 3
or
x/11 = 12/44
4x/11 = 12/44
4x = 12
x = 3
Free brainliest timmmmmmme :)
What is 2+2?
A. 69
B. 420
C:666
D:21
PLEASE HELP WORTH 4 POINTS
Answer:
2+2=4
Step-by-step explanation:
lol tell me the subject and ill research and give u n answer
What is the answer for number 7
Answer:
x = -35
Step-by-step explanation:
add 3 to both sides.
[tex]\frac{2}{5}[/tex]x - 3 + 3 = -17 + 3
[tex]\frac{2}{5}[/tex]x = -14
multiply both sides by [tex]\frac{5}{2}[/tex].
([tex]\frac{5}{2}[/tex]) · ([tex]\frac{2}{5}[/tex]x) = ([tex]\frac{5}{2}[/tex]) · (-14)
x = -35
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?
If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?
a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.
Answer:
The value is [tex]n = 384 [/tex]
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally since the sample proportion is not given we will assume it to be
[tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]
=> [tex]n = 384 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Generally if the level of confidence increases, the critical value of [tex]\frac{\alpha }{2}[/tex] increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
Work out (7×10^5) ÷ (2×10^2)
Give
your answer in standard form.
Answer:
3.5 X 10^3
Step-by-step explanation:
one student can paint a wall in 10 minutes another student can paint the same wall in 15 minutes working together how long will it take for them to paint the wall?
Answer:
6 min
Step-by-step explanation:
given that the rate for the first student is 10 min per wall
we can express this in wall per minute by taking the reciprocal
hence student 1's unit rate = 1/10 wall per min
similarly, we can express student 2's unit rate as 1/15 wall per min.
if we add up the two, we will get the amount of wall painted by two people working together per min
amount of wall painted per min by 2 people
= wall per min of person 1 + wall per min of person 2
= 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6 wall per min.
to convert this to minutes per wall, we take the reciprocal:
number of minutes that both people will take to paint the wall
= 1 / (1/6)
= 6 min per wall (answer)
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?
Answer:
Step-by-step explanation:
F=ma
28=7m
m=28/7=4
F=4a
when a=3 m/s²
F=4×3=12 N
I WILL GIVE 175 POINTS TO ANYONE WHO HELPS ON ALL QUESTIONS
1. Write an equation in Slope-Intercept Form for a line that passes through (2, 2) and (0, 3).
2. Write an equation in point slope and slope-intercept that includes the points (0, 0) and (9, -3).
3. Write an equation in point-slope form that describes the line with a slope of 2 that contains the point (4, -3)?
4. A landscape service charges customers a one-time fee and an hourly rate of $15. For 3 hours of work, the company charge $75. 4. Write an equation in point-slope form. 5. How much does the landscape service charge for 12 hours of work?
5. A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. 6. Write an equation in standard form to represent the total cost t of a project that takes h hours. 7. How much does the programmer charge for a coding project that takes 25 hours?
6. Write an equation in slope-intercept form for a line that passes through the point (-4 , 3) and is parallel to the line 푦 = 5푥 + 2.
7. Write an equation in slope-intercept form for a line that passes through the point (6 , 4) and is perpendicular to the line 푦 = − 3 2 푥 − 4.
Answer:
--No answers here, just an additional question---
Question:
What in the heck is this : 푦
Dimitri has a pool surrounded by concrete in his backyard. The dimensions of his backyard are 12x+2 units by 14x-2 units. The dimensions of his pool are 5x-3 units by 2x units. If he wanted to put Astroturf in place of the concrete, what area does the concrete take up? If he wants to put a fence around the entire backyard, how many units of fencing would he need?
Answer:
50
Step-by-step explanation:
what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x
Answer:
b
Step-by-step explanation:
I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day
One-eighth of a number is -4,200.
What is the number?
-42,800
-37,800
-33,600
-42,000
Answer:
33,600
Step-by-step explanation:
take -4200 and multiply it by 8. You'd do this since the equation to get -4200 is
x(1/8) = -4200
multiply both sides by 8 to get rid of the fraction and you get x=33,600
What is the DOMAIN of this graph?
Answer:
Is yellow
Step-by-step explanation:
an open circle for "less than" or "greater than", and a closed circle for "less than or equal to"
What is the solution to the equation below? 5c + 4 = 2(c - 5)
1. c = -4 2/3
2. c = -3
3. c = -2
4. c = - 1/3
Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.
Answer:
e
Step-by-step explanation:
s
What would be the answee
What do you add to 43/6 to make 7
Answer:
1/6 that's the answer
Step-by-step explanation:
so you do 43/6-7=43/6-42/6=1/6
Answer:
Actually the answer is -⅙
Step-by-step explanation:
43/6 written differently is 7 ⅙, because the fraction 42/6 is the same as 7 (42÷6=7). But since your number is 43/6 you get
7 1/6.
your original number is larger than 7 but the question was what number you have to "add" to get to 7. so they number has to be a negative number.
like this:
43/6 + (-1/6) = 42/6. which you rewrite now as
43/6 - 1/6 = 42/6. and I explained that 42/6 is the same as 7.
HELP PLEASE the second one is a match question
Answer:
1)Coefficient
2)Dividend
3) Quotient
Step-by-step explanation:
Lisa spends the same amount of time doing homework each day on Monday she spents of half of her time studying for a history test. on Tuesday, she spent 3/5 of her time studying for the same test in
the two days she spenta bal of 3 hours and 29 minutes studying for the test How much time does
she spend ting homework each day
An airplane travels 5152 kilometers against the wind in 7 hours and 6552 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
What is the area of the rectangle written in simplest form
Answer:
option D
Step-by-step explanation:
5/6 x 4/6
Multiply the numerators only.
it will give you--> 20/6
You can simplify this down by dividing 20 by 6 giving you 3 remainder 2
Putting this in fraction form would give you 32/6 which can be simplified to
3 1/3 ft^2
The function h(x) = 2x – 8+ 1 is a transformation of the parent function f(x) = x. Select all the statements that describe a key feature of function h.
Answer:
1
4
5
Step-by-step explanation:
Emile paid $3.96 for 4 songs.
What is the unit rate and what does it mean?
Enter your answers in the boxes.
Answer:
$0.99
Unit rate is cost for 1 individual (song)
Step-by-step explanation:
$3.96/4
0.99
99 cents
what is 2,107,954 in expanded form
Answer:
2,000,000+100,000+7,000+ 900+50+4
Step-by-step explanation: Can i have brainliest?
$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.
Answer: When r= 9.5% , time = 7.3 years
When r= 2.5% , time = 27.7 years
Step-by-step explanation:
Exponential equation for compounded continuously:
[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time
Given : P= $6,000
A = 2P= 2 ($6,000) = $12,000 (i)
When r= 9.5%= 0.095
[tex]A= 6000e^{0.095x}[/tex] (ii)
From (i) and (ii)
[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]
For r= 2.5% = 0.025
[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]
An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers
Answer:
The required integers are x=3 and y= -9
Step-by-step explanation:
Let one the integers be x and y
An integer is 15 more than 2 times another: x=15+2y
product of the two integers is -27: x*y=27
[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]
Solving both equations to find values of x and y
Putting value of x from equation 1 in equation 2
[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]
This can be solved using quadratic formula:
[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Putting values and finding factors
[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]
Since y is integer so, we consider only y= -9
The value of x will be:
[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]
So, the value of x is x=3
The required integers are x=3 and y= -9