Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?
I need help with questions 26 and 27!! Please
On average nick walks 18000 steps every day he walks 1 mile every 3500 steps work out an estimate for the average distance in miles that nick walks in one year
Final answer:
To find the average distance Nick walks in a year, divide 18,000 steps by 3,500 steps per mile to get 5.14 miles per day, and then multiply by 365 days to estimate around 1,876.1 miles annually.
Explanation:
To estimate the average distance in miles that Nick walks in one year, we need to start with the information that Nick walks 18,000 steps every day and that he walks 1 mile every 3,500 steps. First, we need to calculate the number of miles Nick walks each day by dividing the total daily steps by the number of steps per mile:
Daily miles = 18,000 steps/day ÷ 3,500 steps/mile = 5.14 miles/day (rounded to two decimal places)
Next, we will calculate Nick's annual walking distance by multiplying the miles per day by the number of days in a year (365):
Annual distance = 5.14 miles/day × 365 days/year = 1,876.1 miles/year (rounded to one decimal place)
Therefore, we can estimate that Nick walks approximately 1,876.1 miles in one year.
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
The solution of the system of equations is (3, 2)
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is a system of equations,
x + 2y = 7......(i)
x - 2y = -1
x = 2y - 1.....(ii)
Put eq(ii) in eq(i)
2y-1+2y = 7
4y = 8
y = 2
Put y = 2 in eq (ii)
x = 2(2)-1
x = 4-1 = 3
Hence, the solution of the system of equations is (3, 2)
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I need the answer for #4
which ne is #4?
3 odd integers to = 75?
75/3 = 25
so 23 + 25 +27 = 75
50 POINTS! PLEASE HELP!
Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.
[tex]Answer:[/tex]
[tex]x = -3[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]5x-20+3x-9x=6-(2x+5)+8x[/tex]
[tex]8x-20-9x=6-(2x+5)+8x[/tex]
[tex]-x-20=6-(2x+5)+8x[/tex]
[tex]-x-20=6-2x-5+8x[/tex]
[tex]-x-20=1-2x+8x[/tex]
[tex]-x-20=1+6x[/tex]
[tex]-x-20-6x=1[/tex]
[tex]-7x-20=1[/tex]
[tex]-7x=1+20[/tex]
[tex]-7x=21[/tex]
[tex]\frac{21}{-7}[/tex]
[tex]-3[/tex]
What does the property Additive Identity, Additive Inverse, Multiplicative Identity, and Multiplicative Inverse mean?
Answer:
32342
Step-by-step explanation:
22
if x=6 can the <'s be supplementary
I completely messed up and need help...
9 and 3/4 as an improper fraction
You have purchased a 42 inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measurements & show all work: 1. Height of the television screen 2. Width of the television screen 3. Height of the black bars at the top and bottom of the screen. 4. Percent of the area of the television screen that is covered by the image.
The TV's width and height are approximately 36.61 inches and 20.55 inches respectively. The black bar's height is approximately 1.29 inches each. The movie covers almost 87.4% of the TV's screen area.
Explanation:This question involves the use of ratios and some geometry. Your TV's aspect ratio of 16:9 essentially means the width is 16 parts and the height is 9 parts. And, the total diagonal is given 42 inches.
1. Using Pythagorean theorem a² + b² = c² where c is the hypotenuse (diagonal), the width and height of the TV can be found: height(h)= ratio_height * √(c²/(ratio_width² + ratio_height²)) = 9 * √(42²/(16² + 9²)) ≈ 20.55 inches.
2. Similarly for width(w): w= ratio_width * √(c²/(ratio_width² + ratio_height²)) ≈ 36.61 inches.
3. The movie's aspect ratio is 1.85:1. The height of the black bars can be calculated using ratio of the heights of the movie and the TV: black bar height= (h - w/1.85) / 2 ≈ 1.29 inches. This height is subtracted from the TV's height because the movie with ratio 1.85:1 is wider than 16:9 TV.
4. The percentage coverage is given by (w * (h - 2* black bar height)) / (w * h) ≈ 0.874 or 87.4%
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a mathematician states that her children's ages are all prime numbers that multiply together to give 7,429. she also says that two of her children are teenagers. how many children does she have?
Solve the equation. 11 = –d + 15 A. 4 B. 6 C. 11 D. –4
11 = -d+15
subtract 15 from each side
-4 = -d
divide both sides by -1
d = 4
Find the midpoint of modifying above AB.
(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)
Answer: Im guessing B. (1.5, 1.5)
Once I enter my test ill come back and edit.
Its correct! good luck on your test! :)
Simplify the expression to a+bi form (-11+6i)-(8-5i)
A state auto-inspection station has two inspection teams. team 1 is lenient and passes all automobiles of a recent vintage; team 2 rejects all autos on a first inspection because their “headlights are not properly adjusted.” four unsuspecting drivers take their autos to the station for inspection on four different days and randomly select one of the two teams. a if all four cars are new and in excellent condition, what is the probability that three of the four will be rejected? b what is the probability that all four will pass?
You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you
The penny size d is given by the literal equation d = 4n - 2, solve for n
A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to mount these switches?
Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.
За 7 кг груш заплатили 525 руб. Сколько рублей следует заплатить за 4,6 кг груш?
Answer: 345 руб.
Step-by-step explanation:
525 : 7 = 75 (руб.) - стоимость 1 кг груш.
4,6 * 75 = 345 (руб.) - следует заплатить за 4,6 кг груш.
To find out how much to pay for 4.6 kg of pears, calculate the price per kilogram from the given 7 kg cost (525 rubles) and multiply by 4.6 kg, resulting in a price of 345 rubles for 4.6 kg.
Explanation:The cost for 7 kg of pears is 525 rubles. To determine how much one should pay for 4.6 kg of pears, we use a simple proportion based on the principle that the price per kilogram remains constant.
First, we find the price per kilogram by dividing the total cost by the weight:
Price per kilogram = Total cost / Total weight in kgPrice per kilogram = 525 rubles / 7 kg = 75 rubles/kgNow, we multiply the price per kilogram by the desired weight to get the total cost for 4.6 kg:
Total cost for 4.6 kg = Price per kilogram * Weight of the pearsTotal cost for 4.6 kg = 75 rubles/kg * 4.6 kg = 345 rublesTherefore, one would need to pay 345 rubles for 4.6 kg of pears.
Transformations of polynomial functions
The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.
Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
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In the typing world 80 words per minute is considered acceptable how many words per 30 minutes is this
Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi
Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:
[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]
Lateral surface area(L.A) of the circular cone:
[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]
where
r is the radius and h is the height of the circular cone.
As per the statement:
[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]
then;
[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]
⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]
⇒[tex]4 \pi =\pi r^2[/tex]
Divide both sides by [tex]\pi[/tex] we have;
[tex]4 =r^2[/tex]
or
[tex]r^2 = 4[/tex]
⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]
r cannot be in negative
⇒[tex]r = 2[/tex] units
Therefore, radius of the circular cone is, r = 2 units
Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d
Answer:
Option D: 25 + d
Step-by-step explanation:
Kelly is having money in her purse = $25
Dante has in his wallet = $d
By adding both value we can get the total amount that Kelly and Dante have.
Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.
Option D: 25 + d is the answer.
A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes
Answer:
Cost of the computer before taxes is $1299.
Step-by-step explanation:
Let the price of the computer before taxes is = $x
Tax rate on this computer = 7%
Therefore, computer cost including tax = (x + 7% of x)
= [tex]x+\frac{7x}{100}[/tex]
= x + 0.07x
= $(1.07x)
Cost of the computer including tax is given as $1389.93.
Therefore, 1389.93 = 1.07x
x = [tex]\frac{1389.93}{1.07}[/tex]
= $1299
Cost of the computer before taxes is $1299.
The exact times, in seconds, of four sprinters from a school track meet are as follows: Sprinter Sprinter A Sprinter B Sprinter C Sprinter D Time 132.38 132.31 132.29 132.25 If the stopwatch used was precise only to the tenths place, which sprinter's time is different from the others? Your answer: Sprinter A Sprinter B Sprinter C Sprinter D
Answer:
a. Sprinter A
Step-by-step explanation:
it rounds to 132.40 and B-D round to 132.30
a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.
Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)
Write the number 498,416 in words.
A. Four hundred ninety-eight billion four hundred sixteen.
B.Four hundred ninety-eight million four hundred six.
C.Four hundred ninety-eight thousand four hundred sixteen.
D. Four hundred ninety-eight sixteen.
Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)