The diagonal of rectangle ABCD measures 2 inches in length What is the length of line segment AB?
Answers
In the diagram, we already have the angles given so we just need to find the length of one side. Let's first find the length of segment CD since we are given the angles on that side of the rectangle.
We can find its length by applying SOHCAHTOA. We can either use the 60 or 30-degree angle but for this solution let's make use of 60 degrees. From SOHCAHTOA we know that sine of 60 is equal to the length opposite it (CD) over the hypotenuse which is the diagonal that is equal to 2 inches. Knowing this we can solve for CD:
[tex]sin(60)= \frac{CD}{2} [/tex]
[tex] \frac{ \sqrt{3}}{2}= \frac{CD}{2} [/tex]
[tex] \sqrt{3}=CD [/tex]
Since we have a rectangle, the measure of segment CD will just be equal to the measure of segment AB.
ANSWER: The length of line segment AB is √3 or 1.73 inches.
Answer:
Step-by-step explanation:
B on edge
Related Questions
PLEASE HELP PLEASE BABES!!
A bag contains 40 marbles: 12 red, 12 blue, and 16 yellow. What is the probability that a blue is randomly selected?
A) .30
B) .33
C) .40
D) .60
Answers
[tex] |\Omega|=40\\
|A|=12\\\\
P(A)=\dfrac{12}{40}=\dfrac{3}{10}=30\% [/tex]
Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 Mile he stops for water. How much farther must he hike to finish the trail?
Answers
stop = 1/4 mile
d_remaining = ?????
d_remaining =d - stop
d_remaining = 11/12 - 1/4
1/4 = 1*3 / 4*3 = 3/12 You are doing this so that 1/4 has the same denominator as 11/12
d_remaining = 11/12 - 3/12 = 8/12
Wyatt has 8/12 of a mile to go 8/12 = 2/3 of a mile to go
2/3 mile <<<<<==== Answer.
You could also do this as a decimal
11/12 = 11 divide by 12 = 0.91666666667
1/4 = 0.25
Remainder = 0.9166666667 - 0.25
Remainder = 0.6666666 which is 2/3
I have not been particularly careful about how many 6s you get. Just copy what your calculator says..
Final answer:
Wyatt has 2/3 mile left to hike to finish the 11/12 mile long trail after stopping for water having hiked 1/4 mile.
Explanation:
Wyatt is hiking a trail that is 11/12 mile long, and after hiking 1/4 mile, he stops for water. To calculate how much farther he must hike to finish the trail, we subtract the distance he has already hiked from the total length of the trail.
The calculation would be:
Total trail length - Distance already hiked = Distance remaining
(11/12) - (1/4) = (11/12) - (3/12) = (8/12) miles
After simplifying the fraction, we find that Wyatt has 2/3 mile left to hike to reach the end of the trail.
susan bought a 1 kilogram bag of grape. on the way home, she ate 125 grams of the grapes. how many grams of grapes does susan have left?
Answers
1000 - 125 = 875g
Susan has 875g of grapes left.
Susan has 875 grams of grape left
How to determine the amount left?The given parameters are:
Amount bought = 1 kgAmount ate = 125 gramsThe amount left is:
Amount left = 1 kg - 125 grams
Express kg as grams
Amount left = 1000 grams - 125 grams
Evaluate the difference
Amount left = 875 grams
Hence, Susan has 875 grams of grape left
Read more about subtraction at:
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Hello i need help on this one and giving away points+ brainiest on the legit answer thanks!
Answers
.. L = 2 × 2'6" = 5'
The number that goes in the box is 5.
_____
16'6" is exactly twice as long as 8'3". You don't even have to convert to inches or decimal feet to see that.
plz help ill give you brainlist
Answers
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28
A tree 24 feet tall casts a shadow 12 feet long.Brad is 6 feet tall. How long is Brads shadow
Answers
Answer: 6
Step-by-step explanation:
thiss is for a challenge
Write in expanded form. Use parentheses to indicate multiplication. (2r) 5
Answers
If I assume correctly, the eqaution you ment to write is (2r)^5. If I am correct the answer your looking for is (2r)(2r)(2r)(2r)(2r) Hope this help ;-)
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 100 and 110
Answers
Final answer:
The second number, 110, is 10 percent larger than the first number, 100. Conversely, the first number, 100, is approximately 9.09 percent smaller than the second number, 110.
Explanation:
To find by what percent the second number is larger than the first, we calculate the difference between the two numbers and then divide by the first number, multiplying the result by 100. For the numbers 100 and 110:
Subtract the first number from the second: 110 - 100 = 10.
Divide the difference by the first number: 10 / 100 = 0.10.
Multiply by 100 to find the percentage: 0.10 * 100 = 10 percent.
Now, to find by what percent the first number is smaller than the second number:
Again, find the difference: 110 - 100 = 10.
But this time, divide by the second number: 10 / 110 = ~0.0909.
Multiply by 100 to find the percentage: ~0.0909 * 100 = approximately 9.09 percent.
Therefore, 110 is 10 percent larger than 100, while 100 is approximately 9.09 percent smaller than 110.
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ratio 1:2. the length of the altitude is 8. how long is the hypotenuse
Answers
Segment1/Altitud=Segment 2/Altitud
2. The ratio is 1:2, then:
Segment1=2x
Segment2=1x
Segment2=x
Altitud=8
3. When you apply the Altitud Rule, you obtain:
Segment1/Altitud=Segment 2/Altitud
2x/8=8/x
4. When you clear the "x", you have:
(2x)(x)=(8)(8)
2x²=64
x²=64/2
x²=32
x=√32
x=4√2
5. Then:
2x=2(4√2)=8√2
6. Therefore, the lenght of the hypotenuse is:
h=4√2+8√2
h=12√2
h=16.97
The hypotenuse is 17.1 inches long
Given that the scale ratio is 1 : 2.
This means that:
Segment 1 : Segment 2 = 1 : 2
This gives
Segment 1 : Segment 2 = x : 2x
By comparison,
Segment 1 = x
Segment = 2x
Using the Altitude rule, x is then calculated as:
[tex]\frac{Segment\ 2}{8} = \frac{8}{Segment\ 1}[/tex]
Substitute known values
[tex]\frac{2x}{8} = \frac{8}{x}[/tex]
Cross multiply
[tex]2x^2 = 64[/tex]
Divide through by 2
[tex]x^2 = 32[/tex]
Take the square root of both sides
[tex]x = 5.7[/tex]
The length of the hypotenuse (h) is then calculated as:
[tex]h =x + 2x[/tex]
[tex]h =3x[/tex]
[tex]h =3 * 5.7[/tex]
[tex]h =17.1[/tex]
Hence, the hypotenuse is 17.1 inches long
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19.21 is 113% of what number
Answers
19.21 is 113% of 17
(113/100)x = 19.21
(1 13/100)x = 19.21
19.21 divides by 1 is the same value l
13/100 x = 19.21
Divide both sides by 13/100 or 0.13 to find the answer.
The measure of the space inside a geometric figure
Answers
So if u want to know what this would’ve called it would be volume hope this helps have a gr8 day/night
misha has a board that is 17 1/2 inches long that he has to cut into 3 equal pieces how long should each piece be
Answers
=17 1/2 ÷ 3
convert to improper fraction
= 35/2 ÷ 3
multiply by reciprocal of 3
= 35/2 * 1/3
= 35/6
= 5 5/6
ANSWER:
Each piece should be 5 5/6 inches.
Hope this helps! :)
why aren't voluntary response samples usually representative of the population
Answers
now, the people that will approach you, are just the people that will approach you, it could be all from one specific group, say all women, or mostly women, or mostly doctors, or mostly certain group, and therefore, they'll be giving their take on the topic, but for all we know they're just 15% of the whole population, it just so happen that they approach you.
and if they're 15% of the population, then their opinion matters only at the 15% consideration for the topic.
Answer: it would be (the people who volunteer usually have a motive to do so and will be the ones represented
Step-by-step explanation:
your welcome
The partially complete anova table given here is for a two-factor factorial experiment source df ss ms factor a 3 2.25 0.75 factor b 1 0.95 interaction 3 0.30 error 16 2.40 0.15 total 6.50
Answers
The student's question involves understanding and completing a two-factor ANOVA table in statistics, which is used to determine if there are significant differences between group means.
Explanation:The question involves an Analysis of Variance (ANOVA) table used in statistics to test if there are significant differences between the means of three or more independent groups. Given the degrees of freedom (df), sum of squares (SS), and mean squares (MS), one would typically calculate the F-statistic for each source of variance (Factor A, Factor B, and the interaction) by dividing the MS of that source by the error MS. If the calculated F-statistic is greater than the critical F-value from the F-distribution table, one can reject the null hypothesis that the group means are equal. ANOVA is used in various research fields where data needs to be compared across multiple groups or factors.
Can someone solve this please?
Answers
x = 8/2 - 5y/2
x = 4 - 2.5 y
or
x = 4 - 5/2 y
Does the following equation represent growth or decay y=76(1.013)x
Answers
Answer:
[tex]y=76(1.013)^x[/tex]
Growth
Step-by-step explanation:
We are given an equation [tex]y=76(1.013)^x[/tex]
We need to say about growth or decay of above equation.
It is an exponential function.
[tex]y=ab^x[/tex]
Growth or decay depends on the value of b
If b>1 then function is growth
If 0<b<a then function is decay
Now, we compare the the function
[tex]76(1.013)^x\rightarrow ab^x[/tex]
[tex]b=1.013[/tex]
b>1
The value of b is greater than 1.
Hence, [tex]y=76(1.013)^x[/tex] is growth function.
Give me an expression that is equal to 4(6j + 5 + 2j). I already got 4(8j + 5), can you get me another expression using the distributive property? Once you got the answer give me the answer you got and translate it into a verbal expression
Answers
twenty-four j plus twenty plus eight j
OR
32j + 20
Work: 24j + 8j = 32
thirty-two j plus twenty
Hope this helps!
How many lines of a reflectional symmetry does a equilateral triangle have?
Answers
Answer:
Equilateral triangle has 3 Reflection symmetry.
Step-by-step explanation:
Given : Equilateral triangle.
To find : How many lines of a reflectional symmetry does a equilateral triangle have.
Solution : We have given a equilateral triangle.
Equilateral triangle :triangle which has all three sides and angles are equal.
Reflection symmetry : If we reflect any shape of figure it gives same shape .
Therefore, Equilateral triangle has 3 Reflection symmetry.
50 students live in a dormitory. the parking lot has the capacity for 30 cars. if each student has a car with probability 12 (independently from other students), what is the probability that there won't be enough parking spaces for all the cars?
Answers
To find the probability that there won't be enough parking spaces for all the cars, we can use the binomial distribution formula and calculate the probability of having more than 30 cars in a sample of 50. The probability is approximately 0.9999999999.
Explanation:To find the probability that there won't be enough parking spaces for all the cars, we need to find the probability that the number of cars exceeds the capacity of the parking lot. The number of cars follows a binomial distribution with a probability of success of p = 0.12 and a sample size of n = 50. We can use the binomial probability formula to calculate this probability:
P(X > 30) = 1 - P(X ≤ 30)
where P(X ≤ 30) is the probability that the number of cars is less than or equal to 30. We can use a binomial calculator or software to find this probability:
P(X > 30) ≈ 0.9999999999
A gear rotates i degree each second. If it rotates for 2 minutes, how many degrees will it measure
Answers
Ms.michaels made an apple pie with a radius of 5in .she cut the pie into 6 equal slices. Fined the approximate area of each slice.
Answers
we know the radius is 5, thus the area of the whole circle is A = π5² or 25π.
then each slice is just one sixth of that, thus 25π/6 is the area of one slice.
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 5.5 square centimeters, how tall is the section?
Answers
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate? asking nicely making sure she has a positive credit history explaining that she has many outstanding loans showing her driver’s license
Answers
Answer: The answer is (b) making sure she has a positive credit history.
Step-by-step explanation: Given that Yolo is buying a car from a local car dealership and wants to get the lowest interest rate possible. We are to select the correct option which will most likely help her.
From the given options, we can see that she will get the lowest interest rate possible if she has a positive credit score.
Thus, (b) is the correct option.
She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.
Further Explanation:
Given:
The options are as follows,
(a). Asking nicely
(b). Making sure she has a positive credit history
(c). Explaining that she has many outstanding loans
(d). Showing her driver’s license
Explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
To obtain the lowest interest rate she should ask the dealer for lowest interest rate and make sure that she has a positive credit history.
She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.
Option (A) is not correct.
Option (B) is correct.
Option (C) is not correct.
Option (D) is not correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Credit Risk
Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.
A drum of oil has a height of 4ft and a radius of 1.2ft The cost of oil $22 per cubic feet.What is the cost to fill the drum of oil
Answers
What is -8h less than equal to 72
Answers
8h ≥ -72
h ≥ -72/8
h ≥ -9
In complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)
Answers
see if this helps
Answer:
The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]
Step-by-step explanation:
Given : Data (1,0), (2,1.5), (5,2.5), (8,3).
To find : Determine the appropriate model for the given data?
Solution :
Data (1,0), (2,1.5), (5,2.5), (8,3).
We plot the data points on the graph and get the best fit line using trend line of the function.
Using regression calculator,
The function has a logarithmic behavior so the best line which represent the data is given by
[tex]y=1.4004\ln (x) + 0.2158[/tex]
and the value of R² i.e. correlation coefficient is given by
[tex]R^2=0.9691[/tex] which is approximately equal to 1 gives you the best fit line.
Therefore, The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]
Refer the attached figure below.
6. Antonio is a freelance computer programmer. In his work, he often uses 2n, where n is the number of bits, to find the number of ways bits (or units of information) can be arranged. a. Antonio is working on programming a new video game in which the main character, Millie, collects golden keys to help in her quest. Antonio writes a formula to show that Millie can collect one less key than the highest number of bits that can be arranged in the system. What formula can he use? b. If Antonio is working with a 16-bit system, how many golden keys can Millie collect? c. Antonio is also working on a new spreadsheet program. The program takes up 14 tes of memory. If each byte is equal to 8 bits, how many bits is Antonio's program? Show your work.
Answers
(a) Antonio can use the formula 2^n-1 to indicate the maximum size of numbers an n-bit word can store.
(b) for a 16-bit system, the maximum number of keys Millie can collect is 2^(16)-1 = 65536-1=65535
(c) For a 14 byte program, there are 14*8=112 bits.
Final answer:
Antonio can use the formula 2ⁿ - 1 to calculate the number of golden keys Millie can collect in a 16-bit system, resulting in 65,535 keys. For the spreadsheet program taking up 14 TB of memory, this translates to 112 × 10¹² bits, illustrating the vastness of binary encoding in computing.
Explanation:
Understanding Antonio's Formulas and Calculations
In the realm of computer programming and data representation, understanding how information is encrypted and the number of combinations possible for bits is crucial. Here, we'll explore Antonio's approach to calculating the number of golden keys in a video game and translating memory size from terabytes to bits.
a. Formula Creation for Golden Keys
Antonio is developing a video game where the main character collects golden keys. The number of possible arrangements of bits in the system is represented by 2n, where n represents the number of bits. Therefore, to find the maximum number of keys Millie can collect, which is one less than the total number of bit arrangements, Antonio can use the formula 2ⁿ - 1.
b. Calculating Golden Keys in a 16-bit System
At a 16-bit system, the number of possible arrangements is 216 = 65,536. Following Antonio’s formula, Millie can collect 65,536 - 1 = 65,535 golden keys.
c. Bits in Antonio's Spreadsheet Program
For a program taking up 14 terabytes (TB) of memory, with each byte equating to 8 bits, we need to first convert terabytes to bytes then to bits:
One TB equals 1012 bytes.
Therefore, 14 TB equals 14 × 10¹² = 14 × (1012 bytes).
Converting to bits (by multiplying by 8): 14 × 10¹² × 8 = 112 × 10¹² bits.
This calculation illustrates how memory size translates into a vast number of bits, reflecting the exponential nature of binary encoding used in computing and data storage.
A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 60% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box.
____ m³
Answers
area of the base: 3.14*4² (diameter is 8, so radius is 4)
height: 20
3.14*4²*20=1004.8
60% of 1004.8=602.88
Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.
Answers
the right answer is A 38.7
Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in boston. if you can choose from three major air carriers, two car rental agencies, and five major hotel chains, how many options are available for your vacation accommodations?
Answers
Final answer:
To find the total number of vacation accommodation options, multiply the choices of air carriers (3), car rental agencies (2), and hotel chains (5) together, resulting in 30 different combinations.
Explanation:
The question involves calculating the total number of vacation accommodation options available given a set of choices for air carriers, car rental agencies, and hotels. This type of problem is a basic combinatorial problem that requires multiplying the number of possibilities for each choice to get the total number of combinations.
To solve this, we can use the fundamental counting principle which states that if there are n ways to do one thing, and m ways to do another, then there are n x m ways to do both.
Applying this principle:
Number of air carriers: 3Number of car rental agencies: 2Number of hotel chains: 5We multiply these together: 3 x 2 x 5 = 30 total options for the vacation accommodations.