Alex is constructing a square in which two of its vertices are points X and Y. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Alex do for his next step?
A. Use a straightedge to draw a horizontal line that contains point Z.
B. Place the point of the compass on point X and draw any arc above it.
C. Use a straightedge to draw XZ¯¯¯¯¯ .
D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
Answers
Answer:
D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
Step-by-step explanation:
All sides of a square has to be equal.
Here it is given that X an Y are 2 of the vertices of the square. We can say that XY is the length of one side of the square.
So e should make sure that a length of the square on the YZ line is same as the XY line.
So,
Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
Answer:
D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.
Step-by-step explanation:
Verified by test results
Hope this helps:)
Related Questions
Round each addend to the nearest ten thousand,and then find the estimated sum.?
337,961 + 482,746
_+_=_
Answers
To find the estimated sum, round each addend to the nearest ten thousand by looking at the digit in the ten thousand places. Then add the rounded numbers together.
Explanation:To round each addend to the nearest ten thousand, look at the digit in the ten thousand places. If the digit is 5 or greater, round up by increasing the number in the ten thousand place by 1. If the digit is less than 5, round down by keeping the number in the ten thousand places the same. For 337,961, the digit in the ten thousand places is 9, so it rounds up to 340,000. For 482,746, the digit in the ten thousand places is 7, so it rounds down to 480,000. Now, you can find the estimated sum by adding the rounded numbers, which would be 340,000 + 480,000 = 820,000.
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The cartesian coordinates of a point are given. (a) (2, −2) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π.
Answers
Related Rates Problem: The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The thickness of the rind is always one tenth of the radius. The volume of the rind is growing at the rate __?__ cubic centimeters per week at the end of the fifth week. Assume that the radius is initially zero. ...?
Answers
so, if we grab the whole volume of the watermelon, and then subtract the volume of the inner sphere of 9/10, what we're left with is 1/10 of the volume, which is the volume of the rind, recall the rind has a radius of 1/10 of the radius, so we're simply taking off 1/10 from the radius and using the 9/10 and subtracting the volume with that radius.
now, after the 5th week, the radius of the watermelon has then grown to 2*5, or 10 cm, and the rind is 1/10 of that or just 1 cm.
[tex]\bf \cfrac{4\pi \left( \frac{9r}{10} \right)^3}{3}\implies \cfrac{4\pi \cdot \frac{729r^3}{1000}}{3}\implies \cfrac{\frac{2916\pi r^3}{1000}}{3}\implies \cfrac{2916\pi r^3}{3\cdot 1000}\implies \cfrac{243\pi r^3}{250}\\\\ -------------------------------\\\\ V_{rind}=\cfrac{4\pi r^3}{3}~~-~~\cfrac{243\pi r^3}{250}\implies V_{rind}=\pi r^3\left(\cfrac{4}{3}-\cfrac{243}{250} \right)[/tex]
[tex]\bf V_{rind}=\pi r^3\left( \cfrac{271}{250}\right)\implies \boxed{V_{rind}=\cfrac{271\pi }{250}r^3} \\\\\\ \cfrac{dV_{rind}}{dt}=\cfrac{271\pi }{250}\cdot \stackrel{chain~rule}{3r^2\cdot \cfrac{dr}{dt}}\implies \cfrac{dV_{rind}}{dt}=\cfrac{813\pi r^2\cdot \frac{dr}{dt}}{250} \\\\\\ \begin{cases} \frac{dr}{dt}=2\\\\ r=10 \end{cases}\implies \cfrac{dV_{rind}}{dt}=\cfrac{813\pi 10^2\cdot 2}{250}\implies \cfrac{dV_{rind}}{dt}\approx 3043.29[/tex]
Find the state that has the largest number for the execution variable in 1993. (the variable exec is total executions in 1991, 1992, and 1993.) how much bigger is this value than the next highest value?
Answers
Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8. How do the estimate and the actual product compare?
A. The actual product is less than the estimate. The numbers differ by less than one.
B. The actual product is greater than the estimate. The numbers differ by less than one.
C. The actual product is less than the estimate. The numbers differ by more than one.
D. The actual product is greater than the estimate. The numbers differ by more than one.
Answers
Answer:
b the answer
Step-by-step explanation:
just did it
Final answer:
The actual product is less than the estimate. The numbers differ by less than one.
Explanation:
Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8.
To estimate the product, we can round both numbers to the nearest half, which gives us 3.5 and -3.5. Multiplying these rounded numbers gives an estimate of -12.25.
The actual product of 3 2/5 and -3 7/8 is -3.4. Therefore, the actual product is less than the estimate. The numbers differ by less than one.
5×143=use distributive property
Answers
+
5x40 = 200
+
5x3 = 15
———————
715
=5*(100+40+3)
=5(100)+5(40)+5(3)
=500+200+15
=715
Hope this helps!
Your fortune is "Be careful of who you choose to be with."
Brian drove 120 miles at a speed of 60 mph. He drove the same distance back home at an average speed of 40 mph. Brian adds the speeds and divides by two to come up with an average speed of 50 mph what is wrong with his reasoning? Find his average speed
Answers
the total distance in this case is 120+120=240
the total hours is 120/60 + 120/40 =2+3=5
so 240/5=48
48 miles per hour
list the partial products of 42 x 28
Answers
= 800 + 320 + 40 + 16
Answer:
The partial product of [tex]42\times 28[/tex] are 800,320,40,16 and their sum is 1176.
Step-by-step explanation:
The given expression is,
[tex]42\times 28[/tex]
In number 42 the place value of 4 is 40 and the place value of 2 is 2. In number 28 the place value of 2 is 20 and the place value of 8 is 8.
To find the partial product, we have multiply the place values of first number with the place values of second number.
Place values of 42 are 40 and 2. Place values of 28 are 20 and 8.
[tex]40\times 20=800[/tex]
[tex]40\times 8=320[/tex]
[tex]2\times 20=40[/tex]
[tex]2\times 8=16[/tex]
Therefore the partial product of [tex]42\times 28[/tex] are 800,320,40 and 16.
To find the total product, we have add all partial products.
[tex]T=800+320+40+16=1176[/tex]
The value of given expression is 1176.
A bus timetable states that the next bus leaving for holmfirth is at 16:40 what time is this in 12 hours time
Answers
i hope this helps and have a wonderful day!!!
which of the following three dimensional objects has a rotational symmetry about a line
Answers
Answer choices:
A. a car
B. a set of rectangular stairs
C. a rolling pin
D. a stapler
The answer is C. a rolling pin
Which word best describes the range of a function?
A. input
B. output
C. independent
D. relation
Answers
Answer:
It is actually B output
Step-by-step explanation:
The rectangular box shown in the figure has dimensions 8" × 7" × 4" (a = 8, b = 7, c = 4). Approximate the angle θ formed by a diagonal of the base and a diagonal of the 7" × 4" side. (Round your answer to two decimal places.)
Answers
Answer:
Rectangle
four
Length and width
Step-by-step explanation:
Gregg subtracted some number x from 47, then multiplied the result by two, subtracted 15 and got 45. What was Gregg's number?
(PLEASE ANSWER WITH WORK, THANKS)
Answers
45 + 15= 60. 60/2= 30. 30 + x = 47.
So, x= 47-30.
x= 17.
Find the value of the following expression:
(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28
Write your answer in simplified form. Show all of the steps.
Answers
(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =
(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =
42037.81348 * 0.00000000732094 * 22876792454961 =
7040477235.56798349
round answer as needed
Let hh be the set of all points in the second quadrant in the plane v=ℝ2v=r2. that is, h={(x,y)∣x≤0,y≥0}h={(x,y)∣x≤0,y≥0}. is hh a subspace of the vector space vv?
Answers
The set hh, which represents all points in the second quadrant of the Cartesian plane, is not a subspace of the vector space vv, because it does not contain the zero vector and is not closed under scalar multiplication.
Explanation:In vector space theory, a subset of a vector space forms a subspace if it satisfies three key properties: it contains the zero vector of the larger vector space, it is closed under vector addition, and it is closed under scalar multiplication.
In our case, the set hh represents all points in the second quadrant of the Cartesian plane, that is, hh={(x, y)∣x≤0, y≥0}. Since the zero vector is not included in this set of vectors, it does not meet the first requirement. Therefore, hh is not a subspace of the vector space vv.
To illustrate, let's consider the vectors A=(0, 1) and B=(-1, 0) that belong to set hh. The sum of these vectors is A + B = (0 - 1, 1 + 0) = (-1, 1), which also belongs to set hh. However, if we multiply vector A by the scalar -1, the result is -A = (0, -1), a vector that does not belong to set hh. Hence, the set hh is not closed under scalar multiplication.
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Write a real-life situation that can be modeled by the expression 1 1/3 x 2.
1 1/3 is a mixed number
Answers
I came up with this...good luck
You have 2 2/3 cakes. You tend to share 2 of them. How many will your friend get?
Hope this helps!
Maude sees 3 more foxes than Henry. Henry see 4 foxes. How many foxes did Maude see?
Answers
Maude sees 3 more foxes than Henry and Henry sees 4 foxes then Maude
sees 7 foxes.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Henry sees 4 foxes and Maude sees 3 more foxes than Henry.
∴ Maude sees (4 + 3) = 7 foxes.
Some more insights:
Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
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which would not be a step in solving 3x + 1 + 2x = 2+ 4x?
Answers
To solve the equation 3x + 1 + 2x = 2 + 4x, you would first combine like terms, then eliminate variable terms on one side of the equation, and finally solve for x.
Explanation:In solving the equation 3x + 1 + 2x = 2 + 4x, the first step would be to combine like terms on both sides of the equation. This means adding or subtracting the same type of terms together. In this case, you would combine the x terms on the left side and the constant terms on the right side. The equation will then be simplified to 5x + 1 = 2 + 4x.
The next step would be to get rid of the variable terms on one side of the equation. To do this, you can subtract 4x from both sides of the equation. This will result in x + 1 = 2.
Finally, you can solve for x by subtracting 1 from both sides of the equation. This gives us the solution x = 1.
Use the graph to find the x-intercept for the equation y + 2 = 2(x + 3). The x-intercept is
Answers
Answer:
(-2,0)
Step-by-step explanation:
I just did the assignment
The price of a pair of shoes is $45.90. The sales tax rate is 5%. How much sales tax do you need to pay?
Answers
5% = 0.05
45.90 x 0.05 = $2.295
Which can be rounded to 2.30 if needed.
Answer:
The sales tax to be paid for the pair of shoes is $2.29.
Step-by-step explanation:
If the price of a pair of shoes is $45.90, and the sales tax rate for it is of 5%, in order to know the sales tax to be paid we have to do the following calculation:
(45.90 x 5) / 100 = X
229.5 / 100 = X
2.295 = X
So, as we can see, the sales tax to be paid is $2.29
A negative correlation between two variables x and y usually yields a negative p-value for r.
a. True
b. False
Answers
Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.What fraction of the fish in Gary's tank are red guppies?Show your work.
Answers
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given: Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.
To Find: What fraction of the fish in Gary's tank are red guppies.
Solution:
Let total number of fish in tank be [tex]=\text{x}[/tex]
Number of guppies in tank are [tex]=\frac{2}{5}\text{of total fish}[/tex]
Number of guppies in tank are [tex]=\frac{2}{5}\text{x}[/tex]
Number of red guppies in tank are [tex]=\frac{1}{4}\text{of total guppies}[/tex]
[tex]\frac{1}{4}\times\frac{2}{5}\text{x}[/tex]
[tex]\frac{1}{10}\text{x}[/tex]
Now,
fraction of the fish in Gary's tank that are red guppies
[tex]=\frac{\text{red guppies}}{\text{total fish in Gary's tank}}[/tex]
[tex]\frac{\frac{1}{10}\text{x}}{\text{x}}[/tex]
[tex]\frac{1}{10}[/tex]
Hence [tex]\frac{1}{10}[/tex] of total fish are red guppies.
A pine tree grows at a rate of 1.5 feet per year. James plants a 2-foot tall pine tree in his yard. How many years will it take for the tree to be at least 14 feet tall?
Answers
The point P(8, 6) is on the terminal side of θ. Evaluate sin θ.
Answers
A person standing close to the edge on top of a 56-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 104 t + 56 h(t)=-16t2+104t+56 models the ball's height about the ground, h ( t ) h(t), in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answers
The maximum height of the ball at a time of 3.25 seconds will be 275 feet.
What are the maxima and minima of a function?For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.
The maximum and minimum value of the function is at f'(x) = 0.
An individual standing near the edge on top of a 56-foot building tosses a ball upward vertically.
The quadratic function is given below.
h(t) = - 16t² + 104t + 56
The value of 't' at which the ball is at its maximum height. Then we have
h'(t) = 0
-32t + 104 = 0
32t = 104
t = 3.25 seconds
Then the maximum height of the ball is given as,
h(t) = - 16(3.25)² + 104(3.25) + 56
h(t) = -16 x 10.5625 + 338 + 56
h(t) = - 169 + 444
h(t) = 275 feet
The maximum height of the ball at a time of 3.25 seconds will be 275 feet.
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How much work is needed to stretch this spring from x = 3.0 cm to x = 7.0 cm ?
Answers
The work done to stretch a spring is calculated using Hooke's Law, denoted by the formula W = 1/2kx², where 'k' is the spring constant and 'x' the displacement. The displacement is the difference between the final and initial lengths of the spring (7.0 cm - 3.0 cm). However, without the spring constant, a specific numerical answer cannot be provided.
Explanation:The problem requires calculating the work done to stretch a spring. This can be done using Hooke's Law in Physics, which states that the force necessary to extend or compress a spring by a distance 'x' from its equilibrium position is proportional to 'x'. The magnitude of the force applied is represented as F = kx, where 'k' is the spring constant. However, the work done, W, against this force is given by 1/2kx².
To calculate, we need to know the value of the spring constant 'k', and the displacement 'x', which is the difference between the final length (7.0 cm) and the initial length (3.0 cm) of the spring. Without the spring constant, we, unfortunately, cannot provide a numerical answer.
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A restaurant uses 4 pounds of potatoes for a party of 12 people. If they are cooking potatoes for a party of 60 people, what should they do?
Answers
5·4=20
They should use 20 pounds of potatoes
Hope this helps
Step by step ways to solve 3.4 x 4.72
Answers
Final answer:
To solve 3.4 x 4.72, multiply the numbers as if they are whole, then place the decimal in the product so that it has the same number of decimal places as the sum of the decimal places in the factors, resulting in 16.048.
Explanation:
To solve the multiplication of 3.4 x 4.72, follow these steps:
Write down the numbers to be multiplied, one below the other, aligning the decimal points: 3.4x 4.72
Multiply as if you are dealing with whole numbers, ignoring the decimal points for now. Start by multiplying the digit in the ones place of the bottom number by each digit in the top number, then move to the next digit to the left. 342
x 472
-------
1368 (3.4 x 2)
17100 (3.4 x 70, shift one place to the left)
136800 (3.4 x 400, shift two places to the left)
-------
160704
Add up the results of each multiplication step.Now count the total number of decimal places in both of the original numbers (1 in 3.4 and 2 in 4.72, so 3 in total).Place the decimal point in the answer so that it has the same number of decimal places as the sum from step 4. Since you have 3 decimal places in total, you'll count three places from the right of the answer.160.704
The final result of multiplying 3.4 by 4.72 is 16.048.
Hypatia has read 13 chapters of a 22 chapter book what percent has she read
Answers
Answer:
59.09%
Step-by-step explanation:
We can calculate it with a direct rule of 3. If 22 chapters are the 100% of the book, what percent is 13 chapters?
[tex]\text{22 chapters} -\!\!\!-\!\!\!- 100\%\\ \\\text{13 chapters} -\!\!\!-\!\!\!- x\%[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {13* 100}{22} \\ \\ x = \frac {1300}{22}[/tex]
x = 59.09
She has read the 59.09% of the book.
There are 1800 gym members in total. 3\4 are aged 25-59 years. 1/5 are over 60 years old and the remainder are under 25 years old. How many members are under 25 years old
Answers
1/5 of 1800 is [tex]\displaystyle{ \frac{1}{5}\cdot1,800 = \frac{1,800}{5}=360[/tex]
Thus, out of 1,800 members, 1,350 are aged 25-59, 360 are aged over 60.
The remaining, 1,800-1,350-360 = 90, are members under 25 years old.
Answer: 90