Kateri draws a square. She wants to draw one line to draw one line to divide the square into 2 triangles. Is it possible for her to divide the square into 2 obtuse triangles? Explain
A square can be divided into two right-angled triangles with one line, but it can't be divided into two obtuse triangles because none of the angles in a square is more than 90 degrees.
Explanation:
No, it is not possible for Kateri to divide the square into two obtuse triangles by drawing just one line. An obtuse triangle is a triangle that has an angle greater than 90 degrees. However, a square is made up of four 90-degree angles. Therefore, when a square is divided into two triangles with one line, the maximum degrees any angle in resulting triangles would get is 90, hence they would be right-angled triangles and not obtuse triangles.
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Please help!
4x(5y-x)-5y(4x-y)
the ratio of 12:3 in simplest form
A soup recipe calls for 23/4 quarts of broth. An open can of broth contains 1/2 quart of broth. How much more broth do you need to make the soup?
What is 10 meters increased by 25%
how to simplify -7+(-7)
you are going to purchase a corvette for $60,00 the interest rate is 4% and you will be paying off the loan in 5 years. What will be your monthly payment?
a local hamburger shop sold a combined total of 757 hamburgers and cheeseburgers on Sunday. There were 57 more cheeseburger sold than hamburgers. How many hamburgers were sold on Sunday?
Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn. A) The slope is positive 1 2 and the y-intercept is (0,3). B) The slope is negative 1 2 and the y-intercept is (0, 3). C) The slope is positive 1 2 and the y-intercept is (0, -3). D) The slope is negative 1 2 and the y-intercept is (0, -3).
Answer:
B) The slope is negative 1/2 and the y-intercept is (0, 3).
Step-by-step explanation:
First we rewrite the equation so we can easily find the slope and y-intercept. We do this by isolating the y-term:
2x+4y = 12
We want to subtract 2x from each side:
2x+4y-2x = 12-2x
4y = 12-2x
4y = -2x+12
Now we divide both sides by 4 (everything on both sides gets divided!):
4y/4 = -2x/4 + 12/4
y = -2/4x + 3
y = -1/2x + 3
The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).
Her graph shows the y-intercept at (0, 3); this part is correct.
The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.
What is the missing number 200,188,152,80,8
HURRY PLEASE!!!!!
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player?
A) 225
B) 550
C) 1100
D) 1667
Answer:
Its B
Step-by-step explanation:
550 is the closest
The bases of an isosceles trapezoid are represented by 4x and 2x. The height of the trapezoid is represented by (x − 6). Which polynomial expression BEST represents the area of the trapezoid?
A) 3x2 − 18x
B) 3x2 + 18x
C) 3x − 18
D) 6x2 + 36x
Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping.
(a) What is the exact volume of the sink? Show your work.
(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
What is (5/8) multiplied by (2/3)
how to memorize my timetables
To memorize your timetables, you can use mnemonic techniques, break down the tables into smaller chunks, and practice regularly.
Explanation:Multiplication tables, also known as timetables, can be challenging to memorize. However, there are several strategies that you can use to make the process easier. One effective method is to create mnemonics, which are memory aids that help you associate numbers with images or phrases. For example, you can associate the number 9 with the shape of a cat's tail, and whenever you see the number 9 in a multiplication problem, you can visualize a cat's tail to help you remember the answer.
Another useful strategy is to break down the tables into smaller, more manageable chunks. Start by memorizing the tables for numbers 0-5, and once you feel comfortable with them, move on to the tables for numbers 6-10. By tackling smaller chunks, you can avoid overwhelming yourself and improve your retention.
Finally, practice regularly and consistently. The more you review the timetables, the more familiar they will become. Consider using online resources, flashcards, or interactive games to make the practice sessions more engaging and enjoyable. Over time, with practice and perseverance, you will gradually memorize your timetables.
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Which proportion would you use to set up to change 6 cups to pints?
Answer:
A) is the answer
Step-by-step explanation:
it worked
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%? Quick I need an answer!!!!
Claire and Marisa are both waiting to get a rebound during a basketball game. If the height of the basketball hoop is 10 feet, the angle of elevation between Claire and the goal is 35°, and the angle of elevation between Marisa and the goal is 25°, how far apart are they standing?
Using trigonometry, Claire is approximately 19.42 feet away from Marisa, given their angles of elevation and the hoop's height.
Using trigonometry, we can find the distance between Claire and Marisa:
[tex]\[ \text{Let } h \text{ be the height of the basketball hoop.} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire}} = \frac{h}{\tan(35°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Marisa}} = \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \text{Distance}_{\text{Claire}} - \text{Distance}_{\text{Marisa}} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \frac{h}{\tan(35°)} - \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = h \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
Given [tex]\( h = 10 \)[/tex] feet:
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = 10 \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} \approx 19.42 \text{ feet} \][/tex]
So, Claire and Marisa are standing approximately 19.42 feet apart.
Find the correct selling price. Round to the nearest dollar.
What was the clerk's error?
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee’s vacation hours. In Company P if you work 10 hours you get 0.4 vacation hours, while in Company S if you work 100 hours you get 7 vacation hours. What is the difference in each friend’s vacation hours if both work 2,080 hours?
Answer:
62.4 hours
Step-by-step explanation:
For P:
Number of hours off on 10 hours of working=0.4
Number of hours on 2080 hours of working=2080/10*0.4
=83.2 hours
For S:
Number of hours off on 100 hours of working=7
Number of hours on 2080 hours of working=2080/100*7
=145.6 hours
The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.
the difference in vacation hours between the two friends is 62.4 vacation hours.
For company P:
We know that 10 working hours give 0.4 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{10}{0.4} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{0.4 \times 2080}{10} = 0.04 \times 2080 = 83.2\ days[/tex]
Now for company S:
We know that 100 working hours give 7 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{100}{7} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{7 \times 2080}{100} = 0.07 \times 2080 = 145.6\ days[/tex]
Finally, find the difference in vacation hours:
[tex]Difference = 145.6 - 83.2 = 62.4\ vacation\ hours[/tex]
Therefore, the difference in vacation hours between the two friends is 62.4 vacation hours.
A triangle can be formed with side lengths 3 in, 5 in, and 9 in. (5 points) True False
Answer:
its false, i did the test
Step-by-step explanation:
Grace saw 16 bird habitats at the zoo's aviary. The sign said each habitat had 12 birds.How many birds were in all?
Molly says that 4/8 is always the same as 1/2. Andrew says that 4/8 and 1/2 are equivalent fractions, but they could be different amounts. Use the models below to determine which student is correct. Explain.
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
________m³
Answer:
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
Step-by-step explanation:
Given : A rectangular prism has a length of [tex]1\frac{1}{4}[/tex] centimeters, a width of 4 centimeters, and a height of [tex]3\frac{1}{4}[/tex] centimeters.
We have to find the volume of prism.
We know,
Volume of rectangular prism = length × width × height
Given : Length = [tex]1\frac{1}{4}[/tex] centimeters = [tex]\frac{5}{4}[/tex]
Width = 4 centimeters, and
height = [tex]3\frac{1}{4}[/tex] centimeters = [tex]\frac{13}{4}[/tex]
Thus, Volume of rectangular prism = [tex]\frac{5}{4}\times 4\times \frac{13}{4}[/tex]
Simplify, we have,
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
The volume of the given rectangular prism is 0.143184 cubic meters (m³).
The formula of the volume of a rectangular prism is:
Volume = Length × Width × Height
Given the dimensions:
Length = 114 cm
Width = 4 cm
Height = 314 cm
First, multiply the length and the width:
Length × Width = 114 cm × 4 cm = 456 cm²
Next, multiply this result by the height:
456 cm² × 314 cm = 143,184 cm³
Therefore, the volume of the rectangular prism is:
143,184 cm³
Now, to convert this into cubic meters (m³), note that 1 m³ = 1,000,000 cm³:
Volume in m³ = 143,184 cm³ ÷ 1,000,000 = 0.143184 m³
So, the volume of the prism is 0.143184 m³.
If you buy 20 tickets for $6.00, how much are you paying per ticket?
Question 1 options:
.10
.20
.30
.40
When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.
Final answer:
The expression 27x^2z/-3x^2z^6 simplifies to -9/z^5, so the simplified exponent on the variable z is -5.
Explanation:
When simplifying the expression 27x^2z/-3x^2z^6, we divide the coefficients and apply the laws of exponents. This means we divide 27 by -3 and subtract the exponents of like terms with variables of the same base.
27/-3 equals -9, and for the variables we subtract the exponents, for x^2 we have x^2/x^2 which simplifies to x^0 and for z we have z^1/z^6, simplifying to z^(1-6) which is z^-5. However, because negative exponents denote division by that variable to the positive exponent, z^-5 represents 1/z^5.
The final simplified expression is -9/z^5. Thus, the exponent on the variable z when the expression 27x^2z/-3x^2z^6 is completely simplified is -5.
Write a function rule for the table
Find the volume for a sphere with a radius of 7 cm. ROUND TO THE NEAREST WHOLE NUMBER
A.)307cm^3
B.)1,436 cm^3
C.)1,020cm^3
D.)615cm^3
Find the radius of a sphere with a surface area of 804 cm^2
A.) 9cm
B.)8cm
C.)64cm
D.)204cm
Answer:
im sorry i dont get it
Step-by-step explanation:
since y+y=y^2 also they following
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
Write the expression using only positive exponents. Assume no denominator equals zero. I will give brainliest!