This square has the hypotenuse of a right triangle as one of its sides.
The estimated value of the length of the hypotenuse is units. The estimated value of the area of the square is square units.
(Hint: The hypotenuse is the side opposite the right angle. To find the hypotenuse of a right triangle, use the Pythagorean Theorem, c2= a2 + b2.)
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The question is about using the Pythagorean Theorem to calculate the length of the hypotenuse of a right triangle. It also asks how to calculate the area of a square when the hypotenuse of the right triangle is one of its sides. The hypotenuse's length would be useful to determine the square's area, as the square's area is calculated as the square of the length of one side.
Explanation:The subject of this question is Mathematics, and it is appropriate for a High School level student. The question is discussing a scenario where a square has the hypotenuse of a right triangle as one of its sides, and the student is asked to estimate the value of the length of the hypotenuse and calculate the area of the square.
To solve this problem, we will use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (let's call it 'c') is equal to the sum of the squares of the lengths of the other two sides (let's call them 'a' and 'b'). In other words, c² = a² + b². The length of the hypotenuse is the square root of this sum, √(a² + b²).
Since we aren't given specific lengths for the sides of the triangle, I cannot provide exact values. However, let's say that the length of the hypotenuse is 'd', then the area of the square, which is calculated as the length of one side squared (d²) would be equal to the given value.
Learn more about Pythagorean Theorem here:https://brainly.com/question/28361847
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Related Questions
Solve the equation 3/7k=12/35
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Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve 24 - 3 x = -27.
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Answer:
17
Step-by-step explanation:
Given,
24 - 3 x = -27.
24+27 = 3[tex]x[/tex]
3[tex]x[/tex] = 51
[tex]x[/tex] = [tex]\frac{51}{3}[/tex]
[tex]x[/tex] = 17
how many kilometers could 217 km red car travel in 12 hours write an equation to show your work
Answers
Answer:
The required equation is: [tex]217\times 12=2,604[/tex]
The red car can travel 2,604 Km in 12 hours.
Step-by-step explanation:
Consider the provided information.
It is given that the speed of red car is 217 km\hr
We need to write an equation and find how many kilometers could red car travel in 12 hours.
The required equation is: [tex]217\times 12=2,604[/tex]
Hence, the red car can travel 2,604 Km in 12 hours.
Which decimal number is equal to 7/9 0.7 0.7¯ 0.78 0.78¯
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answer
B. 0.7¯
Answer:
0.7
Step-by-step explanation:
A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
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b. around 3.5 tasks.
a. Okay. So, it takes 4/5 hour (48 minutes) to complete 3 tasks. To find the answer, divide the amount of time by the number of tasks. 48/3 = 16. It takes the robot 16 minutes to complete 1 task.
b. So it takes 16 minutes to complete 1 task. To solve this, we can do 60/16. 60/16 is 3.75 or 3 3/4 in simplest form. But you can’t exactly count 3/4 as one task. The robot can only complete 3 tasks in one hour.
{35 POINTS)What are the solutions of 2a^3-3a^2=8a-12 ?
Answers
[tex]2a^3-3a^2=8a-12[/tex]
Add -(8a-12) to both sides.
[tex](2a^3-3a^2)+-(8a-12)=8a-12-(8a-12)[/tex]
Simplify.
[tex]2a^3-3a^2-8a+12=0[/tex]
Rearrange.
[tex]2a^3-8a-3a^2+12=0[/tex]
Factor Out 2a.
[tex]2a(a^2-4)-3a^2+12=0[/tex]
Factor Out the difference of squares.
[tex]2a(a-2)(a+2)-3a^2+12=0[/tex]
Factor out -3.
[tex]2a(a-2)(a+2)-3(a^2-4)=0[/tex]
Factor Out the difference of squares.
[tex]2a(a-2)(a+2)-3(a-2)(a+2)=0[/tex]
Find Common Factor.
[tex](a+2)(a-2)(2a-3)=0[/tex]
Set Factors to Equal 0.
[tex](a+2)=0 \\ \\ (a-2)=0 \\ \\ (2a-3)=0[/tex]
[tex]a=-2 \\ \\ a=2 \\ \\ a=3/2[/tex]
Hope this helps.
-Benjamin
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
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15/2=7.5 miles/hr
90/ [10(3squared - 4)
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= 90/ [ 10 (5)]
= 90/ 50
= 9/5
= 1.8
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
Answers
Answer:
y=-15x+40
Step-by-step explanation:
30 in 2 hours
-15 per 1 hour=15-40
takes away 15 each hour until he covers 40 miles
Vivian draws three right triangles in each figure she measures a pair of angles shown which conjecture is reasonable for Vivian to make
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complementary angles
Jumps has $55 in her savings account. This is $21 more than David. Write and solve an equation to find the amount David has in his savings account.
Answers
Final answer:
David has $34 in his savings account. This was found by setting up an equation where the amount Jumps has is $21 more than David's amount and then solving for David's savings.
Explanation:
The task is to find out the amount of money David has in his savings account. Let's denote the amount David has as D. According to the information provided, Jumps has $21 more than David, and she has a total of $55 in her savings account. We can set up an equation to model this situation:
D + $21 = $55
To solve for D, we need to subtract $21 from both sides of the equation:
D + $21 - $21 = $55 - $21
D = $34
Therefore, David has $34 in his savings account.
David has $34 in his savings account, which we found by setting up and solving the equation 55 = X + 21, where X represents David's savings.
Explanation:To find the amount David has in his savings account, we need to set up an equation based on the information provided:
Jumps has $55 in her savings account, which is $21 more than David has. Let's define the amount David has as X. According to the problem, we can write the equation as:
55 = X + 21
To solve for X, we subtract 21 from both sides of the equation:
55 - 21 = X
Which simplifies to:
34 = X
Therefore, David has $34 in his savings account.
Find unit rate. The tub fills with 12 gallons of water in 5 minutes?
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-2(u+3)-5u
use distributive property to simplify
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-2(u+3)-5u
-2u-6-5u
-3u-6
-2(u+3) - 5u
-2u - 6 - 5u
Combining like terms:
-7u - 6
Hope this helps!
What integer can be represented by 15 positive tiles and 16 negative tiles?
Answers
1 negative tile is -1.
the integer that can be represented with this model is -1.
Hope this helps!
You have a box that has a volume of 412 cm3 and weighs 42 g what is its density
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Evaluate. 53−(648)+102 Enter your answer in the box.
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The final result is 803.
To evaluate the given expression 53 − (−648) + 102, we need to follow the rules of arithmetic operations, particularly the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we look inside the parentheses. Since we have a negative sign before the parentheses, we understand that we are subtracting a negative value which is the same as adding its positive equivalent. So our expression will become 53 + 648 + 102.
Next, we perform the addition operation: 53 + 648 = 701 Adding 102 to 701: 701 + 102 = 803
The final result of evaluating the expression is 803.
How do you use the distributive property to solve 24 + 36 using a(b+c) form
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12(2 + 3) (take out common denominators)
12(5) = 60
24 + 36 = 60
True
hope this helps
Answer:[tex]4(6 + 9)[/tex]
Because,
[tex]4 ( 6 + 9) \\ \\ 4(6) = 24 \\ \\ 4(9) = 36 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]MeIsKaitlyn:)[/tex]
Simplify 26/5(5/13b+10/26) .
Answers
A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder reach? Round the answer to the nearest tenth of a foot. 13.8 ft 23.8 ft 26.3 ft 80.9 ft
Answers
Answer:
B) 23,.8 feet
Step-by-step explanation:
It forms a right triangle.
We use the trigonometric ratio of cos to find the answer.
cos = adjacent /Hypotenuse
Here hypotenuse is the length of the ladder and adjacent side represent the ladder toughs the wall from the ground.
cos 18 = adjacent / 25
adjacent = 25*cos18
adjacent = 23.8 feet
Answer: B) 23,.8 feet
Hope this will helpful.
Thank you.
Answer:
B) 23.8 ft
Step-by-step explanation:
Developing it says constructing equations from a table
Answers
to find b in y=mx+b you simply look for a point where x=0 which was (0,1) making the y-intercept or "b" equal to 1. to find the "m" or slope plug in any point for x and y. (9)=m(4)+1 is 2=m. so y=2x+1 is your answer.
What is the value of m? 12+(7+m)=30 Drag and drop the correct answer in the box.
Answers
m = 30 - 12 - 7 =
11
---------------------
12+7+11= 30
Answer:
11
Step-by-step explanation:
12+(7+m)=30
12+7=19
30-19=11
m=11
A section of a boardwalk is made using 15 boards. Each board is 9 1/4 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board? Write your answer in simplest form.
Answers
9 1/4 (15)+x=144.
You would find the space the boards take up and then subtract that from the total width.
my book is 52 pages. I have already read 18 pages. I plan to read 10 pages each day until I finish the book.
Estimate about how many days it will take to finish reading the book.
A. 3
B. 7
C. 12
D. 30
Answers
34/10=3.4
Approx 3days
A.3
Is the graph of a function that relates a squares side length to its perimeter continuous or discrete
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Examples of "discrete" would be {1, 5, 7, 8, 11, ...}: all integer!
what are algebraic expressions?
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n-7
4*y,4 x y,4y
n/2
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked (2 ) (4 ) (5 ) (8 )
Amount paid (30.40) (60.80) (76) (121.60)
Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
Answers
The correct equation that could represent Relationship A, which has a greater rate than Relationship B, is A. y = 16.4x as it is the only rate per hour greater than that of Relationship B's $15.20 per hour.
The student's question concerns comparing rates of pay in two different linear relationships. Given the table for Relationship B, we can calculate the rate per hour for Relationship B and then compare this to the rates provided in the equations for Relationship A. By looking at the data provided for Relationship B, we can see that the rate is constant. For example, for 2 hours worked, the amount paid is $30.40, which results in a rate of $30.40 / 2 hours = $15.20 per hour.
Because Relationship A has a greater rate than Relationship B, we are looking for an equation where the rate (slope) is greater than $15.20 per hour. Therefore, we eliminate any option where the rate is less than or equal to $15.20. Looking at the provided options:
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
Since options B ($14.9 per hour), C ($15.4 per hour), and D ($15.2 per hour) have rates that are either less than or equal to the rate of Relationship B, they cannot represent Relationship A which has a greater rate. Therefore, the only possible option is A. y = 16.4x, which represents a rate that is greater than the rate we determined for Relationship B.
3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time (h) 3 5 8 10
Money earned ($) 45 75 120 150
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes.
Answers
B can now be easily answered as we know Louis makes $12/hour and Carl makes 15, the answer makes itself obvious
C can be made with the function y = 12x, labeling the x-axis hours and the y-axis money made
Carl earns $45 per hour. We cannot determine who earns more per hour without the earnings of Louis given. To represent Carl's earnings over time in hours, a graph can be drawn using the data points provided in the table.
Explanation:To find the amount of money Carl earns per hour, we need to divide the money earned by the number of hours worked. So, for each data point in the table:
For 3 hours worked, Carl earns $45 per hour.For 5 hours worked, Carl earns $75 per hour.For 8 hours worked, Carl earns $120 per hour.For 10 hours worked, Carl earns $150 per hour.From these calculations, we can see that Carl earns $45 per hour.
To determine who earns more per hour, we need to compare the amount of money Carl and Louis earn. Since we do not have Louis' earnings given, we cannot determine who earns more per hour.
Finally, to draw a graph that represents Carl's earnings over time in hours, we can plot the data points from the table on a graph with the x-axis representing time in hours and the y-axis representing money earned. Each data point will be represented by a coordinate (x, y), where x is the time in hours and y is the money earned. Connecting the data points will give us a graph that represents Carl's earnings over time.
Eight less than 1/3 a number n is -13
Answers
Quick help: 7th grade hw question
"You are buying flowers to hand out at a school dance. Roses cost 30$ for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and four single roses (64). How much is one rose? How much money do you have?
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You have $220
How I solved the total cost of one rose was I did 30/12 to get 2.5.
Then to solve my amount of money I have, I did 30 x 7 then I did 2.5 x 4 and added those totals together
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explain how fractions strips can be used to find five fractions bequal to 3/6 list three equivalent fractions