Using an assumed value that the octagon must fit inside an 11 inch square space, tthe length of each side of the octagon would be 8.23 inches.
Since an assumed side of the square is 11 inches
Here, y is the two equal sides of the right-angle triangle
So y + x + y = 11
Using Pythagoras's theorem for the right angle triangle
y² + y² = x²
2y² = x²
y² = (x²)/2
y = x /√2
So substitute the value of y = x /√2 in the equation
x /√2 + x + x /√2 = 11
2x /√2 + x = 11
2x /√2 + x√2 /√2 = 11
x[2/√2 + √2 /√2] = 11
x[(2 + √2) /√2] = 11
x(2 + √2) = 11√2
x = 11√2/(2 + √2)
x = 15.5563/3.4142 = 12.1421
Round to the nearest hundredth of an inch
x = 12.1
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50 POINTSSS! PLEASE HELP ONLY ONE MATH PROBLEMM! I WILL ALSO GIVE BRAINLIEST
Answer:
the discrete and cont is 2-4 or 3-4
domain should be 3
range thats ezzzzz thats 3,4
function, umm bud your on your own for that :D
Step-by-step explanation:
solve for y 3y=78 Simplify your answer as much as possible.
Answer:
y=26
Step-by-step explanation:
3y=78
3 x 26 = 78
y = 26
One batch of cookies requires 1 3/4 cups of flour. How much flour would you need for 2/3 of a batch
The amount of flour needed for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
What are fractions?An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.p/q is a common way to represent fractions. They are divided into three categories: proper fractions, improper fractions, and mixed fractions depending on the numerator and the denominator.Given:
Amount of flour required for one batch of cookies = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
Amount of flour needed for 2/3 of a batch of cookies = [tex]\frac{2}{3} * \frac{7}{4}[/tex] = [tex]\frac{7}{6}[/tex] = [tex]1\frac{1}{6}[/tex]
Therefore, the amount of flour required for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
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An ice cream truck driver sold 2,812 popsicles and 2,265 ice cream bars in one month. he had 422 treats left over. how many treats did he have to start with? 4,499 total treats 5,500 total treats 5,499 total treats 4,500 total treats
Answer: 5499
Step-by-step explanation:
2812 + 2265 + 422 = 5499
4 765 173
Round the number to the nearest 1000
Answer:
4765000
Step-by-step explanation:
Please help due tonight.
Answer:
A
Step-by-step explanation:
17. In AGHI, m/G = (10x +9)°,
m/H = (3x + 13)°, and m/I = (x + 4)°. What
is the value of x?
The value of x in the triangle that we are to solve is 11
How to solve for the value of xwe have the sum of angles that are in a triangle to be = 180
such that we have to sum all of the triangles that we have here
10x + 9 + 3x + 13 + x + 4 = 180
we have to take the like terms
10x + 3x + x + 9 + 13 + 4 = 180
14x + 26 = 180
14x = 180 - 26
14x = 154
divide through by 14
x = 154 / 14
= 11
Therefore the value of x is 11
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You set your entertainment budget to $100 per month. Eating out costs $35, movies cost $15, and concerts cost $60. Can you eat out, go to a movie, and go to a concert in the same month, while staying within your budget?
Answer:
no you will be $10 over budget
Step-by-step explanation:
start with $100
take away $35 for eating out = $65
take away $15 for movies = $50
then take away $60 for concerts
that means you willl be over $10
Answer:
it's 28.899 because it's more tan 1200
All the integers from -16 to -6
Answer:
-7 -8 -9 -10 -11 -12 -13 -14 -15
Step-by-step explanation: Integers are just numbers that are not fractions or decimals so like any number
Choose by clicking the graph. Find <0 if sec0= -13/5 and tan0 is negative
Using the definition of the secant, the angle is given as follows:
θ = 112.6º.
How to calculate the secant of an angle?The secant of an angle θ is given by one divided by the cosine of the angle θ, that is:
sec(θ) = 1/cos(θ).
In the context of this problem, the numeric value of the secant of the angle is given as follows:
sec(θ) = -13/5.
This means that the following relation can be established:
1/cos(θ) = -13/5.
Hence we can solve to find the angle measure as follows, applying cross multiplication:
-13cos(θ) = 5
cos(θ) = -5/13.
Applying the inverse cosine, we have that:
θ = arccos(-5/13).
θ = 112.6º.
This angle has equivalent on other quadrants, as for example, in the third quadrant the cosine is also negative. However, in the third quadrant, the tangent is positive and we want a negative tangent, which is why the measure is of θ = 112.6º.
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how do I set this up and how do I know what am I looking for
We have to calculate the number of seconds for the flare to return to the sea.
We have an initial vertical speed of 448 ft/s.
The only force acting on the flare is gravity.
Then, we can model the heigth in function of time using the equation:
[tex]h(t)=h_0+v_yt-\frac{g}{2}t^2[/tex]where h0 = 0 ft, vy = 448 ft/s and g = 32 ft/s².
Then, we can replace and calculate t for h(t) = 0, that is the time it took the flare to come back to the initial height (that is 0 ft):
[tex]\begin{gathered} h(t)=0 \\ h_0+v_yt-\frac{g}{2}t^2=0 \\ 0+448t-\frac{32}{2}t^2=0 \\ 448t=16t^2 \\ 448=16t \\ t=\frac{448}{16} \\ t=28 \end{gathered}[/tex]Answer: it will take 28 seconds for the flare to return to the sea [Third option].
What is 23/90 simplified
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 23 and 90 is 1
Divide both the numerator and denominator by the GCD
23 ÷ 1
90 ÷ 1
Reduced fraction:
23
90
Therefore, 23/90 simplified to lowest terms is 23/90.
Answer:
Step-by-step explanation:
it is not possible to simplify 23/90, the numerator and denominator can only be divided by 1 and it remains 23/90
Choose the equation that represents the line that passes through the point (2, 6) and has a slope of -5.
A) y = -5x + 2
B) y = -5x - 6
C) y = -5x - 4
D) y = -5x + 16
Answer:
option d
Step-by-step explanation:
y=mx+c
6= -5*2+c
c=6+10
c=16
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $9 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth
$4 a pound?
To get a mixture worth $4 a pound, pounds of coffee should be added.
(Type an integer, proper fraction, or mixed number)
Solve for the value of n
Thank you!!
Answer:
n = 27
Step-by-step explanation:
n + 6 + 2n + 3 + 90 = 180
solve for n then n = 27
hope this helped
have a good day ^^
Why is the image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death"?It is a common symbol of death that requires little description.It is a part of the plot that does little to contribute to the theme.It is not meant to be seen as an important symbol within the poem.It is not a significant aspect of the mood created within the poem.
The image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death" because it is a common symbol of death that requires little description.
Emily Dickinson's lyrical poem "Because I could not stop for Death" was originally printed in Poems: Series 1 in 1890, after her death. We don't know if Dickinson finished "Since I could not stop for Death" or if it was "abandoned" because her writing was never granted permission to be published.
In the poem "Because I could not stop for death the personified Death appears to Dickinson's poem's speaker. The poet's character speaks calmly about Death, the Afterlife, and the tranquility that comes with it. She represents Death as a young guy accompanying her in a carriage. She gives us a quick overview of her previous life while still living as she passes through to the afterlife.
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A train travels at 75 miles per hour. What equation that compares the time (t) with the distance (d)?
d = 75t
t = 75d
t = d + 75
d = t + 75
The domain is time (t) and the range is distance (d).
First person to respond gets brainliest
ANSWER : 4x-3y
EXPLANATION:
ha bet u u cant ok do it
We can simplify the mathematical expression to get:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = 4*\sqrt{2/11}[/tex]
How to simplify the given expression?Here we have the mathematical expression:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} }[/tex]
Remember the rule:
[tex](a + b)*(a - b) = a^2 + b^2[/tex]
Then the numerator can be rewritten as:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = \frac{5^2 - \sqrt{3}^2 }{\sqrt{22} } = \frac{25 - 9}{\sqrt{22} } = \frac{16}{\sqrt{22} }[/tex]
notice that 16*16 = 256 then we can rewrite:
[tex]\frac{16}{\sqrt{22} } = \sqrt{\frac{256}{22} } = \sqrt{\frac{128}{11} } = \sqrt{\frac{4*4*2}{11} }= 4*\sqrt{2/11}[/tex]
That is the expression simplified.
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Prior Knowledge Problems:
1. On the first math test, Jamaya
answered 19 out of 25 questions
correctly. On the second test she got
17 out of 20 correct. On which test did
she get a better grade?
a. Write a ratio in fraction form to
compare the number correct to the
total questions for each test.
b. Can you compare these two ratios
as they are written?
a) Ratio in fraction form to compare the number correct to the total questions for each test is [tex]\frac{17}{20}[/tex].
b) Yes, we compare these two ratios as they are written.
How to calculate the above question?Jamaya got a better answer on the test on her second test, and you could compare these two ratios as they are written.
a)
First: Convert the each of scores into the percentages:
How do you convert the ratios to percentages? Well, first we have to convert ratio to a decimal or a fraction. Let's convert it to fraction. So, 19 out of 25 will become fraction [tex]\frac{19}{25}[/tex], and 17 out of 20 will become fraction [tex]\frac{17}{20}[/tex] . To convert fraction to percentage:
Divide numerator by denominator:
19 ÷ 25 = 0.76 AND 17 ÷ 20 = 0.85
Multiply the quotient by 100
0.76 x 100 = 76 AND 0.85 x 100 = 85
Add percent sign
76% AND 85%
Now, two quantities are easier to compare. We can obviously see that 85% is the bigger [and better] than 76%. So, ratio that equals 85% - 17 out of 20 - is a better grade.
b)
Yes, you can compare the these two ratios, just find [positive] difference between the amount that she scored and the total number of scores that could be gained.
25 - 19 = 6
20 - 17 = 3
Since equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Jamaya got more right and less wrong, which means a greater mark which is also greater quantity].
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a right rectangular prism is packed with cubes of side length 1/6 inch. if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
The volume of the right rectangular prism= 1/3 cubic inches
In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.
We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.
The length of the rectangular prism would be,
l = 12 × 1/6
l = 2 inches
The width of the rectangular prism would be,
w = 3 × 1/6
w = 1/2 inches
The height of the rectangular prism would be,
h = 2 × 1/6
h = 1/3 inches
so, the volume of the rectangular prism would be,
V = l × w × h
V = 2 × 1/2 × 1/3
V = 1/3 cubic inches
Therefore, the volume of the rectangular prism = 1/3 cubic inches
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Li Na is preparing for a party. She will have at least 100 guests attending. The venue has small tables that seat 4 people and large tables that seat 6 people.
Write an equation or inequality to represent how many small and large tables Li Na could use
to seat all her guests.
Answer: 100 = 4x + 6y
Step-by-step explanation:
We have a total of 100 guests, small tables seat 4, and large tables seat 6. So for each small table used, 4 guests are subtracted from the total.
x = small tables
y = large tables
Ron Fortini received a 5.20% merit increase and
a 2.75% cost-of-living increase after his quarterly review.
His new weekly salary was $968.80. What was his weekly
salary prior to the increases?
A salary is the amount of money that an employee receives from their employer each month, particularly if they work in a profession like education, law, or medical
His weekly salary prior to the increases is $897.45.
How to find his salary prior?An employee's pay is the amount of money that they are given each month by their employer, particularly if they work in an occupation like education, law, or medicine.
For instance, the lawyer received a big salary.
Given,
Ron Fortini received a 5.20% merit increase
2.75% cost-of-living increase
His new weekly salary is $968.80.
Solution:
Let's take his initial salary as x.
The total increase in Ron's salary = 5.20%+2.75% = 7.95%
i.e.,
107.95% * x = $968.80
107.95/100*x = 968.80
x = 968.80 * 100/107.95
x = 897.45
His weekly salary prior to the increases is $897.45.
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If a scale of a map is 1:10000 what will be the length on this map of a road which is 5 km long?
Step-by-step explanation:
1:10000
means we are using the same metric on the map and in reality.
just 1 unit in the map corresponds to 10000 units in reality.
so, e.g. 1 cm on the map = 10000 cm in reality.
1 m = 100 cm
so, 10000 cm = 100 m.
therefore, 1 cm on the map = 100 m in reality.
but we need 5 km = 5000 m.
that is 50 times 100 m in reality or 1 cm on the map.
so, the length on the map is 50 cm.
What is the amplitude of the function y = sin1/2x
since y=AsinKx.......1
so amplitude =|A|=1
What is 34% of 50 please help
Answer: 17
Step-by-step explanation: 34x50/100 = 17
Answer:
17
Step-by-step explanation:
you type on your calculater
34 divided by 100 multiply by 50
then that will equivalate to 17
PLEASE HELP !!!! WILL MAKE BRAIN MASTER
Answer:
13/ The Y-intercept is 4.95 b/c we know that m is the x, so we just need to plug in 0 for it and we will get the Y-intercept as 4.95.
14/ I don't know how to attach the graph
15/ $11.95
c= 0.05(140) + 4.95 = $11.95
A skydiver is planning her jump out of an airplane. Typically, she will jump at a height
of 13,500 feet and she will pull the cord when she is 5000 feet above the ground. If the
equation for distance traveled during freefall is given as d(t) = 16t², how long should
she wait before pulling the cord?
If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord
The initial height = 13500 feet
The height at which she has to pull the cord = 5000 feet above the ground
The distance traveled to reach 5000 feet above the ground = 13500-5000
= 8500 feet
The equation for the distance traveled during the freefall d(t)= [tex]16t^{2}[/tex]
where d is the distance traveled
t is the time taken
Substitute the values in the equation
8500 = 16 × [tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 8500/16
[tex]t^{2}[/tex] = 531.25
t = [tex]\sqrt{531.25}[/tex]
t = 23.05 seconds
Hence, If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord
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Ella is testing out a new studying method and wants to know if it works. She decides to compare her spelling test scores from last week and this week. On last week's test, Ella spelled 16 out of the 20 words correctly. On this week's test, she spelled 13 out of the 15 words correctly. On which test did Ella get a higher ratio of correctly spelled words to total words?
Ella got a higher test score (ratio of correctly spelled words to total words) in the current week when she spelled 13 out of 15 words correctly.
In last week, Ella spelled 16 out of 20 words correctly which is 16:20 in ratio terms and is equivalent to 0.8 (in decimal terms) or 80% in percentage terms.
In current week Ella spelled 13 out of 15 words correctly which is 13:15 in ratio terms and is equivalent to 0.866... (in recurring decimal terms) or 86.7% in percentage terms.
86.7% being greater than 80%, Ella scored higher in current week than in last week's spelling test.
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To make coffee, one small scoop of coffee grounds is added to 2 cups of water. You can draw a ratio table or make a proportion to help find how many cups of water to use for 5 scoops of coffee.
The proportional relation:
y = 2*x
Tells us how many cups of water we need for x scoops of coffee, with this we can see that for 5 scoops we need 10 cups.
How many cups of water do we need for 5 scoops of coffee?We know that for one small scoop of coffee, you need to add 2 cups of water. Then we can write the proportional relation:
y = 2*x
Where x is the number of scoops of coffee and y is the number of cups of water.
if x = 5, then:
y = 2*5 = 10
y = 10
So for 5 scoops of coffee, you need 10 cups of water.
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