Answer:0.3125
Step-by-step explanation:
none sry
Helppp it’s due tomorrow
……..
By using a trigonometric relation we will see that FD = 32, the correct option is C.
How to find the length FD?We can see a right triangle, such that FD is the hypotenuse.
We also know one angle of this triangle, and the adjacent cathetus to that angle.
Now remember the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing the values we know we get:
cos(30°) = 28/hypotenuse
Solving the equation for the hypotenuse we get:
hypotenuse = 28/cos(30°) = 32.3
Rounding to the next whole number we get FD = 32
The correct option is C.
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Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?
StartFraction one-fourth EndFraction left-parenthesis x plus 30 plus 60 right-parenthesis equals x.(x + 30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)
StartFraction one-fourth EndFraction x left-parenthesis 30 plus 60 right-parenthesis equals x.x(30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals left-parenthesis 30 plus 60 right-parenthesis.(x) = (30 + 60)
An equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x
In this question, Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework.
So, his total homework time would be,
(30 + 60 + x)minutes
Also, we have been given One fourth of his total homework time is spent on math.
We need to find an equation that can be used to find the amount of time Hiroshi spends on his math homework.
So, we get an equation,
1/4(30 + 60 + x) = x
Therefore, an equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x
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Answer:
c
Step-by-step explanation:
What is the value of k in 10*10=10
The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2
The equation is give
10 × 10 = [tex]10^k[/tex]
The equation is defined as the mathematical statement that represent the two algebraic expression with an equal sign. The equation will no contain the inequality signs like greater than, less than etc..
The power of a number is the base number is raised to the exponent
Here the equation is
10 × 10 = [tex]10^k[/tex]
10 is the base number and k is the exponent.
We know that,
10 × 10 = [tex]10^2[/tex]
The value of k = 2
Here 2 is the exponent of base number 10
Hence, The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2
The complete question is:
What is the value of k in 10 × 10 = [tex]10^k[/tex] ?
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Which addition equation matches the number line help help
Juan has a sandbox and wants to double the length, width and height. if the original box holds 1 cubic foot of sand, how many more cubic feet of sand must be added to fill the box
The box must be added with 7 cubic feet of sand
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also be defined as the capacity of an object.
It is measured in cubic units.
The volume of a box is length × width × height
represent the original length, width and height by x ,y ,z respectively
This shows that the volume of the original box= x× y× z = 1cubic foot
when the original length, width and height are doubled to give the new dimensions
Therefore the new length,width and height will be 2x, 2y and 2z
the volume of the new formed box = 2x×2y×2z
= 8xyz
XYZ= 1cubic foot
therefore 8xyz = 8cubic feet
since there is 1 cubic foot of sand in the box already,
then( 8-1)cubic feet = 7cubic feet will be added.
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What is the sum -10 + (-9) + (-8) + ... + 9 + 10 +11 + 12?
Answer:
23
Step-by-step explanation:
the numbers from -10 to 10 cancel out, so all that is left is 11+12=23
In chapters 5-8 of Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm. What causes these feelings
A. A visit from his father
B. A letter from Elizabeth
C. The arrival of Henry Clerval
D. An award for creating the monster
Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm, An award for creating the monster causes these feelings.
How does Victor first react to the monster and what happens to both after the first encounter?Victor is the first to enter and is relieved to see no evidence of the creature. But, exhausted by months of labour and the horror of the creature he has created, he becomes ill with a nervous fever that lasts several months.Victor begins to grasp, for the first time, that what he has made is not only the scientific result of an experiment in animated matter, but a genuine living entity with needs and desires.He informs Victor that all of his horrible deeds stemmed from his desperate loneliness. He offers to take his new friend to South America, where they will hide in the bush away from human interaction. He claims that with the sympathy of a fellow monster, he will no longer be compelled.'Frankenstein,' by Mary Shelley, is the narrative of Victor, who creates a monster with the goal of generating life. He was a genius in college, and he created a monster. His own creation was a failure.To learn more about Frankenstein, refer,
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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm, An award for creating the monster causes these feelings.
How does Victor first react to the monster and what happens to both after the first encounter?Victor is the first to enter and is relieved to see no evidence of the creature. But, exhausted by months of labor and the horror of the creature he has created, he becomes ill with a nervous fever that lasts several months.Victor begins to grasp, for the first time, that what he has made is not only the scientific result of an experiment in animated matter, but a genuine living entity with needs and desires.He informs Victor that all of his horrible deeds stemmed from his desperate loneliness. He offers to take his new friend to South America, where they will hide in the bush away from human interaction. He claims that with the sympathy of a fellow monster, he will no longer be compelled.'Frankenstein,' by Mary Shelley, is the narrative of Victor, who creates a monster with the goal of generating life. He was a genius in college, and he created a monster. His own creation was a failure.To learn more about Frankenstein, refer,
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Assuming x to be the number of loaves of white bread and y to be the number of brown bread, how would the problem be represented in form of an inequality
For the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.
As given in the question,
Types of bread baked in bakery = 2 types
Let x represent the number of loaves of white bread
And y represent the number of loaves of brown bread
Total number of loaves which can be stored in the store room is less than or equal to 900.
For the given situation representation of inequality is given by:
x + y ≤ 900
Therefore, for the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.
The complete question is :
Betty's bakery bakes white bread and brown bread. The loaves of bread are then stored in a store room that can house only 900 loaves. The loaves are baked during the day, and in the evening they are delivered to convenience stores. At all times, the number of loaves in the store room must be less than or equal to 900. Part A Assuming x to be the number of loaves of white bread and y to be the number of loaves of brown bread, how would the problem be represented in the form of an inequality?
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What do this mean on this work
Answer:
The answer should be 13.928
Step-by-step explanation:
You do A square + B square = C square
Finding missing side length given two similar triangles
Value of BC is 36 in triangle's similarity .
What is the triangle's similarity?
If one of the following conditions is satisfied by two triangles, they are comparable. There is equality between two sets of matching angles. It is proportionate to have three sets of comparable sides. In addition to being proportional and having equal corresponding angles, two pairs of corresponding sides are also identical.ΔABC and ΔPQR are similar .
so all sides are equal in ratio .
let BC is x .
AB/BC = PQ/QR
18/x = 2/4
18 * 4 = 2 * x
x = 18 * 4/2
x = 18 * 2
x = 36
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rita class has 14 girls and 16 boys how does the ratio 14:30 describe ritas class
Answer:
The ratio shows that there are 14 girls to 30 students in total
Step-by-step explanation:
14 + 16 = 30 that mean that there are 30 students in total, therefore, the ratio shows 14 girls : 30 students
6. MJ is creating a graph of the equation
2x + 4y = -8. Which of the following points will
lie on the line?
a. (2,4)
b. (-2,-1)
c. (2, 1)
d. (4,4)
Draw and label a set of axes on your graph paper. Plot and label the following points: (1,3) , (4,2) , (0,5) , and (5,1).
We have to label a graph with the following points: (1,3), (4,2), (0,5), and (5,1).
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation. Thus, if a point is on te graph of a function, then it must also satisfy the function.
To plot the graph with the points follow all the steps given below;
Points are (1,3) , (4,2) , (0,5),and (5,1).
Step1 The coordinate of the graph are; (1,3) , (4,2) , (0,5),and (5,1).
Step2 Plot the coordinate 1 on the x-axis and 3 on the y-axis.
Step3 Plot coordinate 4 on the x-axis and 2 on the y-axis.
Step4 Plot the coordinate 0 on the x-axis and 5 on the y-axis.
Step5 Plot the coordinate 5 on the x-axis and 1 on the y-axis.
Step6 Then Draw a line with the help of the scale and meet all the points.
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Write a coordinate rule for the dilation.
Answer: 584390
Step-by-step explanation: the r4u819
Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
The probability of the event that the first song played by Alan is a rock song is 0.01.
What is probabilityThe probability of an event occurring is the ratio of the number of required outcome divided by the total number of possible outcomes. But the probability of an event say event "a" not occurring is 1 - a.
We shall calculate for the probability of the event that Alan's first song to be played is a rock song as follows:
probability of playing a rock song = 11/229
probability of not playing a Latin American song = 208/229
probability of not playing a gospel song = 183/229
probability of not playing a country song = 199/229
probability of not playing a rap song = 190/229
probability of not playing a classical song = 204/229
probability of not playing a pop song = 172/229
So,
The probability that the first song played is a rock song = (11/229) × (208/229) × (183/229) × (199/229) × (190/229) × (204/229) × (172/229)
The probability that the first song played is a rock song = 0.05 × 0.91 × 0.80 × 0.67 × 0.83 × 0.89 × 0.75
The probability that the first song played is a rock song = 0.01
Therefore the probability of the event that Alan's first song played is calculated to be 0.01 approximated to 2 decimal places.
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Question 4
Simplify the expression: (7x + 2)²
A 49x² + 4
B 49x² + 28x + 4
C 49x² - 4
D 25x² + 9
Answer:
B
Step-by-step explanation:
(7x+2)(7x+2)
7x×7x=49
7x×2+2×7x=28x
2x2=4
Use Structure A shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The store decides to discount the packs of socks by 40%. Is the discounted price $5?
Multiple choice question.
cross out
A)
yes; The packs of socks are marked up to $7 and then discounted to $5.
cross out
B)
yes; The packs of socks are marked up to $9 and then discounted to $5.
cross out
C)
no; The packs of socks are marked up to $7 and then discounted to $4.20.
cross out
D)
no; The packs of socks are marked up to $5.20 and then discounted to $4.99.
The correct option regarding the price is C. no; The packs of socks are marked up to $7 and then discounted to $4.20.
How to calculate the price?In this situation, a shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The price will be:
= Original price + Markup
= 5 + (40% × 5)
= 5 + 2
= $7
Then, the store decides to discount the packs of socks by 40%. This will give a price of:
= 7 - (40% × 7)
= 7 - 2.8
= $4.2
The price isn't discounted to $5.
In conclusion, the correct option is C.
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the cost of 2kg carrots is £7 work out the cost of 5kg carrots.
Which expression is equivalent to 5x - 5x + 3x - 3x?
Answer:
0
Step-by-step explanation:
subtracting same numbers give you zero
Help asap 30 points!!!!
A company manufactures square floor tiles of area 625cm ^ 2 If the manufacturing error tolerance in the area of a tile is +/- 5cm ^ 2 , how close to the ideal length should each tile be controlled?
Considering the area of a square, the measure of how close to the ideal length should each tile be controlled is of:
A. 0.098 cm.
How to calculate the area of a square?The area of a square of side length s is given by the square of the side length, hence the equation is:
A = s².
For a floor with area of 625 cm², the side length is:
s² = 625
s = square root of 625
s = 25 cm.
Considering the error tolerance, the possible areas are given as follows:
Smallest area: 620 cm².Largest area: 630 cm².The side length for the smallest area would be of:
s² = 620
s = square root of 620
s = 24.90 cm.
The side length for the largest area would be of:
s² = 630
s = square root of 630
s = 25.098 cm.
The smallest difference, from the side lengths with tolerance to the standard side length, is of:
25.098 - 25 = 0.098 cm.
Meaning that option A is the correct option.
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Mr.Marx has been in the journalism industry for 24 years. She has worked at her current job 8 of those years. What fraction of her career has she been at her current job? What is this fraction as a decimal?
Fraction of her career has she been at her current job is 1/3 or 0.333.
Given:
Mr.Marx has been in the journalism industry for 24 years.
She has worked at her current job 8 of those years.
Fraction = number of year in current job/number of years in journalism industry.
= 8 years/24 years
= 8/24
= 1/3 ≈ 0.333.
Therefore fraction of her career has she been at her current job is 1/3 or 0.333.
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4x + 10y = 2
x - 10y = 13
Answer:
x = 3
y = -1
Step-by-step explanation:
4x + 10y = 2 Eq. 1
x - 10y = 13 Eq. 2
The result of the sum of Eq. 1 and Eq. 2 is:
4x + x = 5x
10y - 10y = 0y = 0
2 + 13 = 15
Then the result is:
5x = 15
x = 15/5
x = 3
From Eq. 2:
x - 10y = 13
3 - 10y = 13
-10y = 13 - 3
-10y = 10
y = 10/-10
y = -1
Check:
From Eq. 1:
4x + 10y = 2
4*3 + 10*-1 = 2
12 - 10 = 2
The solution of the equation is that the value of x = 3 and y = -1.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The equation will be solved as,
4x + 10y = 2 Eq. 1
x - 10y = 13 Eq. 2
The result of the sum of Eq. 1 and Eq. 2 is:
4x + x = 5x
10y - 10y = 0y = 0
2 + 13 = 15
Then the result is:
5x = 15
x = 15/5
x = 3
From Eq. 2:
x - 10y = 13
3 - 10y = 13
-10y = 13 - 3
-10y = 10
y = 10/-10
y = -1
Therefore, the solution of the equation is that the value of x = 3 and y = -1.
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Mr. Olin bought 6 sketchbooks for the students in his art class. Each sketchbook was on sale for $3 oG. If the sketchbooks cost $18 total before tax, what was the original price of each sketchbook
Answer:
i think it is 18
Step-by-step explanation:
because if he brought 6 for $18 and it was in sale for $3 that means there is no tax
The average December temperature in Salt Lake City, Utah is 10 degrees Farenheit. The actual December
temperture can vary in Salt Lake City by 5 degrees Farenheit either above or below the average. What is the
minimum temperature of Salt Lake City in December?
The minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.
The average December temperature in Salt Lake City, Utah, is 10 degrees Fahrenheit. The actual December temperature can vary in Salt Lake City by 5 degrees Fahrenheit either above or below the average.
We need to find out the minimum temperature in Salt Lake City in December. Let the temperature be denoted by the variable "M". The minimum temperature is the difference between the average temperature and the variation in the temperature.
M = 10 - 5
M = 5
Hence, the minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.
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solve the following inequality
x³-5x² < 4x-20
The final solution is all the values that make (x+5) (x+2) (x−2)=0 true.
x = −5,−2,2
What is factorization?
Factorization, also known as factoring, is the process of breaking down an object (such as a number, a matrix, or a polynomial) into a product of another object, or factors, which when multiplied together yield the original object (such as the number or matrix) in question.
What is inequality?
A relationship between two expressions or values that are not equal to each other is called an inequality.
Here, we have
Factor out the greatest common factor from each group
x²(x+5) - 4(x+5) = 0
Factor the polynomial by factoring out the greatest common factor, (x+5)
(x+5)(x²-4) = 0
Rewrite 4 as 2².
(x+5)(x²-2²) = 0
(x+5)(x+2)(x-2) = 0
Now,
x+5 = 0
x-2 = 0
x+2 = 0
set x+5 =0 then we get
x = -5
set x+2 =0 then we get
x = -2
set x-2 =0 then we get
x = 2
Hence, the final solution is all the values that make (x+5) (x+2) (x−2)=0 true.
x = −5,−2,2
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One year, the population of a city was 181,000. Several years later it was 150,230. Find the percent decrease.
The percentage decrease in population is 17%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply it by 100. percentage . The word per cent means per 100. It is represented by the symbol “%”.
percentage decrease in population= (0riginal population- new population)÷ original population × 100
%decrease in population = (181000 - 150230) ÷ 181000× 100
=( 307770×100)/181000
= 17%
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17%
Step-by-step explanation:
i tried it it worked
52 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 52, slightly less than
52, slightly greater than 52, or a lot greater than 52? Explain.
Answer:
a lot less because 0.4 is not fully of 100%
Step-by-step explanation:
Answer:
52 is 0.4% of 130. You would expect the number to be a lot greater than 52
Step-by-step explanation:
If the number we are trying to find is x, we have to use the equation x*0.4=52 which can be rewritten as 52/0.4=x
If you solve that, you get 130.
The number is expected to be a lot greater than 52 because 0.4 is almost 0.5 and that would mean doubling 52 so the number would be almost double 52. That means it would be a lot greater.
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour. Which equation models the total distance, D, Sarah travels after hiking an additional h hours
The required expression for the Sarah's travel is y = 5 + 3h.
Given that,
Which equation models the total distance, D, Sarah travels after hiking additional h hours is to be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour.
Let the total distance hike by Sarah be y,
According to the question,
y = 5 + 3h
Thus, The required expression for the Sarah's travel is y = 5 + 3h.
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Kevin has $97,800 in a savings account that earns 2% interest per year. The interest is not
compounded. How much will he have in total in 4 months?
Find a formula for the nth term in this
arithmetic sequence:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
an =?n+
Answer: an=4n+5
Step-by-step explanation:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
A formula for the nth term of the arithmetic sequence:
[tex]a_n=a_1+d(n-1)[/tex]
where: a₁ - is the first term of the arithmetic sequence
d - is the difference between the terms of the arithmetic sequence
d=a₂-a₁=a₃-a₂=a₄-a₃= ...
d=13-9=17-13=31-17= ...
d=4
n - is the number of the arithmetic sequence term
[tex]a_n=9+4(n-1)\\\\a_n=9+4n-4\\\\a_n=4n+5[/tex]
