If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
21.14,7.2,4.5 are these irrational or rational?
Answer:
Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.
Step-by-step explanation:
How many solutions does this equation have?
5 − 2k = –2k
Steps to solve:
5 − 2k = –2k
~Subtract 5 to both sides
5 - 5 - 2k = -2k - 5
~Simplify
-2k = -2k - 5
~Add 2k to both sides
-2k + 2k = -2k + 2k - 5
~Simplify
0 ≠ -5
Therefore, the equation as no solutions.
Best of Luck!
Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.
D) Each distribution has the same mean and a different standard deviation.
Answer:
D) Each distribution has the same mean and a different standard deviation.
Step-by-step explanation:
just took test edg2020
The graph below shows three different normal distributions.
D) Each distribution has the same mean and a different standard deviation.
What is standard deviation and mean?The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.
Therefore, each distribution contains the same mean and a separate standard deviation.
Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."
To learn more about standard deviation and mean
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Justin earned $25.67 one week and $37.85 the next
week. He also purchased a DVD for $19.99 and gas for
his car for $22.07. He started with a zero balance in his
checking account. Justin recorded all of these
transactions in his checkbook and ended up with a
balance of $105.58. Was his balance correct? If it was,
write an equation to support the answer.
Answer:
No, Justin isn't correct
Step-by-step explanation:
Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.
($25.67+$37.85)-($19.99+$22.07)=$21.46
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑
Money earned Money spend Money left
each store is offering a different promotion
Answer:
Ddddddddddddddddddddddddd
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
Without measuring angles what is the measure of angle A′ OB ′?
Answer:
That isn’t possible
Step-by-step explanation:
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much for just Francine have left.
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
What is the value of x in the equation
1/3x - 1/2 = 18 1/2
a. 6
b. 15
c. 54
d. 57
PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST
Answer:
D 57
Step-by-step explanation:
The value of X
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?
Answer:
94% so C
Step-by-step explanation:
I did the assignment
Hope it helps
Answer:
95%
Step-by-step explanation:
Edge 2020
Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike?
Answer:
Bike A costs $270 and has an expected maintenance cost of $36 per year."Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."Step-by-step explanation:
270-36x
there are 5 years so x=5
270 + 36(5) = 270 + 180 = 450
If it were 6 years than x = 6
270 + 36(6) = 270 + 216 = 486
Bike B:
360 + 20x
For option b x = 5
360 + 20(5) = 360 + 100 = 460
for option b it would be 6 years than x = 6
360 + 20(6) = 360 + 120 = 480
Hope i helped!This cost function of purchasing a bike A
[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)
A cost function for purchasing bike B:
[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]
If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.
Learn more:
brainly.com/question/2850202
What does 2+2 equal
Answer: 14.4
Step-by-step explanation: To find the third side of the triangle, we have to use the pythagorean theorem...
a² + b² = c²
a² + 4² = 15²
a² + 16 = 225
225 - 16 = 209
[tex]\sqrt{209}[/tex]
a ≈ 14.4 (If rounded it would be 14)
I hope this helps!
Factor the following polynomial:
5x(a - b) – 2y(a - b)
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
5x(a - b) – 2y(a - b) =
The factors in parentheses (shown in bold) are a common factor.
Factor (a - b) out from both terms.
= (a - b)(5x - 2y)
Someone be a homie cause I’m really tryin on this math shi thank youuuu
Answer:
The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.
The area of sector:
A_S = pi x radius^2 x 123/360
= pi x 18.6^2 x 123/360
= 371.346 (m2)
The area of triangle:
A_T = base x height x (1/2)
= (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)
= 145.073 (m2)
=> Area of shaded region:
A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)
Hope this helps!
:)
Answer:
First give me points and make me winner, then we can discuss the answer.
Step-by-step explanation:
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
how to get the answer ?
Answer:
x=-3
Step-by-step explanation:
This is a vertical line, vertical lines have a slope of undefined
They are of the form
x = something
In this case x= -3
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?
Answer:
The shelter can contain 512 cubic meters of water.Step-by-step explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
[tex]V=l^{3}[/tex]
Where [tex]l=8 \ m[/tex], replacing this value, we have
[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]
Therefore, the shelter can contain 512 cubic meters of water.
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
Compute the requested value. Choose the correct answer.
If the cost is $58.00 and the selling price is $63.00, then what is the percent of increase?
It is
%
Answer:
8% percent I think
Step-by-step explanation:
Calculate (full working required)
2.43 x 4 =
Answer:
The answer is 9.72 .
Step-by-step explanation:
You can do it by elaborating :
2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)
= 8.00 + 1.6 + 0.12
= 9.72
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
