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The length of each side of the square is about 4 units and the length of it's diagonal is about 4√2 ≈ 6 units.
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Hope this helps!
Find TQ :
--------------------------------------------
a² + b² = c²
4² + TQ² = 6²
TQ² = 6² - 4²
TQ² = 36 - 16
TQ² = 20
TQ = 2√5 units or 4.47 units (nearest hundredth)
The length of TQ is 2√5 units
--------------------------------------------
Find the diagonal of the square :
--------------------------------------------
a² + b² = c²
(2√5)² + (2(√5)² = c²
c² = 20 + 20
c² = 40
c = √40
c = 2√10 units or 6.32 units (nearest hundredth)
The diagonal of the square is 2√10 units
Related Questions
Please helpppppppppppp
Answers
The scale is found by dividing the total actual distance by the measured distance.
Actual distance = 24 miles
Measured distance = 4 1/2 inches
Scale = 24 / 4 1/2
Scale = 24 / 4.5
The scale generally written as 1 unit on the map : whatever the distance is in miles or km.
Scale = 1 inch on the map : 5 1/3 miles
1:5 1/3 is normally the way the ratio is written.
Part B
You need a proportion for this
1/4 inch = 1 mile
x = 24 miles
Cross multiply
x = 1/4 * 24
x = 6 inches.
x = 6 inches.There are 24 1/4s in 6 inches.
what are alternate interior angles??
Answers
hope this helps :)
Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What is the height of the triangle?
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A= 1/2 bh
558 = 1/2 x 36 x h
558 = 18 x h
To solve for the height divide both sides by 18.
This leaves you with 31 = h.
So, the height is 31 inches.
Answer:31 in
Step-by-step explanation:558 ×1/2 ×36 × h = 31 in
Of each side of a equilateral triangle has a measure of 14 units what is the measure of the altitude (1 point)
Answers
A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in the table. 468 380 120 220 553 945 935 607 473 490 074 981 692 518 408 954 943 389 594 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.
Answers
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.4 or 40%.
Explanation:The estimated probability that only 1 of 3 randomly selected students rides in a car to school can be calculated by dividing the number of trials where only 1 student rides in a car by the total number of trials. In this case, there were 8 trials where only 1 student rides in a car out of a total of 20 trials.
Therefore, the estimated probability is:
8 / 20 = 0.4
So, the estimated probability is 0.4 or 40%.
Read the following statement: Line segment AB is congruent to line segment QR. Which of the following is an equivalent statement?
AB overbar is similar to QR overbar
AB overbar equals QR overbar
AB overbar is an element of QR overbar
AB overbar is congruent to QR overbar
Answers
Answer: [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].
OR
AB overbar is congruent to QR overbar.
Step-by-step explanation:
The given phrase : Line segment AB is congruent to line segment QR.
We know that to represent a line segment MN we write it in the below notation:-
[tex]\overline{MN}[/tex] (By putting a bar on the name)
Similarly , Line segment AB can be written as [tex]\overline{AB}[/tex] and Line segment QR can be written as [tex]\overline{QR}[/tex]
Therefore , we write the given phrase as : [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].
find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
Answers
Height: h=12.6 inches
Major base: B=29.2 inches
Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2
Answer: The area of the trapezoid is 303.66 square inches
Use a strategy to solve this problem. (Note: I seriously need help and this is due on Sunday!!)
Ian is given some red licorice that is wrapped in a coil. Upon flattening the licorice, Ian discovers that the total length is 60 cm. He then cuts the licorice into two pieces so that the ratio of the lengths of the two pieces is 7:3. Each piece is then bent to form a square. What is the total area of the two squares?
Answers
1. First, let's find the ratio of the lengths.
Since the ratio is 7 to 3, we can find the length of each licorice piece by setting its proportion over 10, since that is the sum of the ratio. Thus, one licorice piece has a length of 60 * 7/10 = 42 cm and the other has a length of 60 * 3/10 = 18 cm.
2. Now, let's create our squares.
Each piece is bent to form a square. In other words, the pieces is split into 4 equal sides. Thus, we can divide our lengths by 4. The first piece of licorice made into a square has side lengths of 42/4 = 10.5 cm. The second piece of licorice has side lengths of 18/4 = 4.5 cm.
3. Finding the area of our squares.
Now, all we need to do is find the sum of the areas of the squares. The first square has an area of [tex]10.5^2 = 110.25[/tex] cm^2 and the second square has an area of [tex]4.5^2 = 20.25[/tex] cm^2. Thus, our answer is 130.5 cm^2.
The Wilkes family sold both of their cars. They sold one car for $7,700 and the other for $9,050. Estimate the difference in the selling price of the two cars by rounding to the nearest thousand and then subtracting.
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Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top line labeled a and the bottom labeled b with an angled line intersecting both making eight angles, top right angle labeled seventy nine degrees and the bottom right angle labeled X degrees
Answers
Answer:
It's 79 I took the test
Stay Alive ~ T∅P I-/
Step-by-step explanation:
Answer:
The measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
Step-by-step explanation:
Given: Lines a and b are parallel to each other.
To find: The measure of the angle b.
Solution: It is given that Lines a and b are parallel to each other, thus using the parallel lines properties, we have
[tex]m{\angle}a=79^{\circ}[/tex] (Vertically opposite angles)
Now, [tex]m{\angle}a[/tex] and [tex]m{\angle}b[/tex] forms the corresponding angle pair, thus they are congruent.
Hence, [tex]m{\angle}a[/tex]=[tex]m{\angle}b[/tex]=[tex]79^{\circ}[/tex].
Therefore, the measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
a line inintersects at triangle at least once, but not at any of its vertices. What is the maximum number of sides that a line can intersect a triangle? similarly, a square? a convex quadrilateral? A quadrilateral , in general?
Answers
Eleven is 20% of _______?
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You Times 20% by 5 to get fully 100%
So if 11 is 20%
You have to Times 11 by 5 to get fully 100%
11 x 5 is 55.
The answer is 55
Answer: the answer is 55, eleven is 20% of 55
Koji is installing a rectangular window in a office building, the window is
8
2
3
feet wide and
5
3
4
feet high. The formula for the area of a rectangle is
A=bh
.What is the area of the window?Enter your answer as a mixed number in simplest form in the box. URGENT WORTH 58 POINTS AND WILL GIVE BRAINLIEST!!
Answers
49 and 83/100 feet^2
hope I helped!
Let me know if you need anything else!
~ Zoe
Members at a yoda school pay $11 per class plus a one-time $96 membership fee. Non members pay $14 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?
Answers
Hope this helps
the equation of a circle is x - y + 1 = 0 . if one end of the diameter is ( 3, p) and other end is ( a, 2 ) , find the equation of the circle.
Answers
The equation of the circle in standard form is represented by the expression x² + y² = 2.
How to analyze a geometric locus
Geometric loci are point sets that represents a figure. A circle is a case of geometric locus. In this question we must determine the coordinates of the two points contained in the circumference and derive a circle equation in standard form.
Now we proceed to solve the following system of linear equations:
p = 4 (1)
a = 1 (2)
Then, the ends of the diameter are (3, 4) and (1, 2) and the radius of the circle is found by the following Pythagorean expression:
[tex]r = \frac{1}{2}\cdot \sqrt{(1-3)^{2}+(2-4)^{2}}[/tex]
r = √2
Lastly, the equation of the circle in standard form is represented by the expression x² + y² = 2. [tex]\blacksquare[/tex]
RemarkThe statement is incomplete. Complete statement is shown below:
The equation of the diameter of a circle is x - y + 1 = 0. If one end of the diameter is (3, p) and other end is (a, 2). Find the equation of the circle.
To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983
Sam owns a small business. There was a loss of $16 on Thursday and a loss of $9 on Friday. On Saturday there was a loss of $5, and on Sunday there was a profit of $27. Find the total profit or loss for the 4 days.
Answers
27 - (16 + 9 + 5) = -3
Sam Lost $3 (or Sam Earned -$3)
Jessica is saving for college. She makes a $75 deposit each week into her savings account. She also decided to use some of the money from the savings account to buy a new music player for $225. The inequality 75x−225≥975 can be used to find x, the number of weeks it will take Jessica to have at least $975 in the account for college. Which graph shows the solution of this inequality?
Answers
Add 225 from both sides
75x = 1200
X = 16
So x > or equal 16
classify the scatter plot as having a negative or no correlation. HOMEWORK DUE TOMORROW
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Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral area, what is the surface area?
Check all that apply.Mulitple answers not just one answer!
A. SA=16-LA
B. SA=BA+LA
C. SA=1/2 16+LA
D. SA=BA+ph
E. SA=p+LA
Answers
p ----------------> is the perimeter of the base
h ---------------> is the height
BA-------------> is the area of the bases
LA--------------> is the lateral area
we know that surface area is the sum of base areas plus lateral areas
then
SA=[BA]+P*h
but remember that
LA=P*h
then
SA=[BA]+LA----------> SA=BA+LA
the answer are the options B.) SA=BA+LA and the option D.) SA=BA+ph
Answer:
SA= BA+ph
SA= BA+LA
Step-by-step explanation:
Just did this question on APEX.
please help me
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions of the rectangle?
What's the width of the rectangle and what's the length?
Answers
To find the width and length of the rectangle, we used the perimeter formula and the given relationship between length and width. The width of the rectangle is 23.5 feet and the length is 47 feet, which are found by dividing the perimeter by the sum of the multipliers of width and then multiplying the width by 2 to find the length.
Explanation:The student asked for help with finding the dimensions of a rectangle given its perimeter and a relationship between its length and width. To find the dimensions of the rectangle, we can use algebra.
Firstly, we know the formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width. Since we are given that the perimeter is 141 feet and the length is twice the width (l = 2w), we can set up the following equation:
141 = 2(2w) + 2w
Simplifying the equation, we get:
141 = 4w + 2w
141 = 6w
w = 141 / 6
w = 23.5 feet
Since the length is twice the width, the length (l) is:
l = 2 × 23.5 feet
l = 47 feet
Therefore, the dimensions of the rectangle are a width of 23.5 feet and a length of 47 feet.
Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the first month's payment, what is the new outstanding principal?
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To find the new outstanding principal after the first month's payment on a 15-year mortgage at an 8% interest rate compounded monthly, we calculate the monthly interest and subtract it from the original principal.
Explanation:To find the new outstanding principal after the first month's payment, we need to calculate the monthly interest and subtract it from the original principal. Here are the steps:
Convert the annual interest rate to a monthly rate by dividing it by 12: 8% / 12 = 0.67%.Convert the mortgage amount to a decimal: $130,000Calculate the interest for one month: $130,000 × 0.67% = $871.67Subtract the interest from the original principal: $130,000 - $871.67 = $129,128.33Therefore, the new outstanding principal after the first month's payment is $129,128.33.
Learn more about Mortgage payment here:https://brainly.com/question/31110884
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vince begin practicing up on a piano at 5:15 p.m. he stopped playing at 5:35 p.m. how many degrees did the minute hand turn during vince's
practice time explain how you found your answer.
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For every 5 minutes, minute hand will turn 30 degrees as it takes 12 times 5 minutes to complete one round (one hr), which is 360 degrees. For Every 15 minutes, it turns 90 defrees.
So from 5.15 to 5.35pm, the minute had turned 20 minutes, that is 4 times of 5 minutes.
4 times of 5 minutes is equal to 4 times of 30 degrees, since it turns 30 degress for every 5 minutes.
So it has turned 120 degrees to move from 5.15 pm to 5.35 pm
Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the numbers.
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x-------------> first odd number
x+2----------> second consecutive odd number
we know that
seven times the smaller, subtracted from nine times the bigger, gives 144
then
9*(x+2)-7*x=144-----------> 9x+18-7x=144---------> 2x=126-----> x=63
the numbers are
63 and 65
The smaller odd number is 63, and the next consecutive odd number is 65.
To find the consecutive odd numbers, an algebraic equation is set up and solved, yielding the smaller odd number as 63 and the next consecutive odd number as 65.
To find two consecutive odd numbers meeting the stipulated condition, we will set up an algebraic equation. Let the smaller odd number be represented by n, then the next consecutive odd number is n + 2. The given condition is that seven times the smaller odd number subtracted from nine times the bigger odd number equals 144. This can be expressed as the equation 9(n + 2) - 7n = 144.
Solving the equation:
Expand the equation: 9n + 18 - 7n = 144Combine like terms: 2n + 18 = 144Subtract 18 from both sides: 2n = 126Divide both sides by 2: n = 63Therefore, the smaller odd number is 63, and the next consecutive odd number is 65.
Can someone help please........ thanks
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Malik drinks 1/2 liter of water and 1/3 liter of juice. Did Malik drink more water or juice?
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Nate tells his mom that he took a test with 60 questions and scored 85%. How many questions did he answer correctly? Show how you know.
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He answered 51 questions correctly.
I know because a percent is out of a hundred, and if he got 60, he got a hundred percent.
does the orders pair (2,14) lie on the graph of y=12x?
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4w^3−8w+12
factor the polynomial
5t^2+20t+50
factor the polynomial
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5t^2+20t+50 = 5 (t^2 + 4t + 10)
In the figure, a∥e , m∥n , and m∠2 = 117°.
What is m∠5 ?
63°
90°
117°
180°
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<5 = 180 - <2
<5 = 180 - 117
<5 = 63
answer
63°
63 is the answer
what the person said
Help please I’m stuck on this problem
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60*0.5 = 30 cm
Hope this helps :)