The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.
Answers
1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.
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The solution is Option D.
The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the square A be = S
Let the triangle be represented as ΔABC
The base of the triangle BC = 5 units
The height of the triangle AB = 3 units
So , the hypotenuse of the triangle AC = Side of the square A
And , from the Pythagoras theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 5² + 3²
AC² = 25 + 9
AC² = 34 units²
AC² = Area of the square A with side AC
Therefore , the value of S is 34 units²
Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
To learn more about triangles click :
https://brainly.com/question/16739377
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Related Questions
Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.
Answers
Answer:
Step-by-step explanation:
(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)
=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)
=64x²-112xy+49y²+4x²-8xy+4y²
=68x²-120xy+53y²
(-7,-5) lies in which of the following quadrants [ ]
a) Q1 b) Q2 C) Q3 d) Q4
Answers
Answer:
C) Q3
Step-by-step explanation:
Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down).
If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?
Answers
Answer:
$15 for 5 cupcakes
HELP asap now lol lorf
Answers
Answer:
[tex]22\ km[/tex]
Step-by-step explanation:
One is given the following information:
[tex]10\frac{1}{1}[/tex] km were covered on Thursday[tex]10\frac{1}{1}[/tex] km were covered on FridayOne is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:
[tex](Thursday)+(Friday) = Total\ distance[/tex]
Substitute,
[tex](Thursday)+(Friday) = Total\ distance[/tex]
[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]
Simplify,
[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]
[tex](10+1)+(10+1) = Total\ distance[/tex]
[tex](11)+(11)=Total\ distance[/tex]
[tex]11+11=Total\ distance[/tex]
[tex]22=Total\ distance[/tex]
Name an angle of
A) 40°
Answers
Answer:
acute angle
AB is 40°
and ED is also 40°
Step-by-step explanation:
Have a nice day!
That is an acute angle
Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=
Answers
Answer: [tex]\dfrac{15}{4}[/tex]
Step-by-step explanation:
Given
[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]
Apply cross-multiplication
[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]
The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]
Answer:
15/4
Step-by-step explanation:
Anybody know this. Need help please!!!!
Answers
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%
Answers
Answer:
1 out of a 50% chance
Step-by-step explanation:
hope it helps
I keep getting this wrong. I got f(x)=1/2^x
Answers
Answer:
Try that....
[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]
Step-by-step explanation:
I hope that is useful for you :)
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answers
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
plz help thank u so much.
Answers
7.0 feet
A=1/2 base x height
352 sq inches
Answer:
Q.1 area of triangle =1/2×base×height
area oftriangle=1/2×21 feet×16 feet
area of triangle =168feet²
Q.2 A=1/2×base×height
Q.3 area of triangle =1/2× base×height
35feet² =1/2×10feet× h
35 feet² =5 feet×h
35feet²/5 feet = h
7feet = h
Q.4 area of triangle =1/2×base×height
area of triangle =1/2×32×22
area of triangle =352 feet²
[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]
Answers
Step-by-step explanation:
[tex]5x - 3 \times 7x + 10[/tex]
Answer:
35x² + 29x - 30
Step-by-step explanation:
Given
25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL
= 25x² + 10x² + 29x - 21 - 9 ← collect like terms
= 35x² + 29x - 30
Can someone help me please
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: (-10,-2)
Just multiply the points by 2
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
(-10,-2)
Step-by-step explanation:
what is the value of a and b
Answers
If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.
Answers
Answer:
154
Step-by-step explanation:
.4 x 112 = 280
.95 x 266 = 280
.55 x 280 = 154
A baker made 6 pounds of dough. He used 8 9 of the dough to make sandwich rolls. How much of the dough is left over?
Answers
Answer:
2/3 pound of dough is left
Step-by-step explanation:
Amount of dough available = 6 pounds
The amount used in making sandwich rolls = 8/9 of the total amount
= [tex]\frac{8}{9} \times6 = 5\frac{1}{3} pounds[/tex]
Therefore, amount of dough left over [tex]= 6- 5\frac{1}{3} = \frac{2}{3} \\[/tex]
Hence, 2/3 pounds of dough is left
Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?
Answers
Answer:
step-by-step explanation:
first you will have to convert 3/4 into a decimal
which is .75
then you will have to divide 1.5 by .75
which is 2
no you have to divideStep-by-step explanation:
Find the value of a in the diagram below:
20
40°
200°
Answers
angles in triangle =180
180-40=140
the other angle is a right angle so 90°
140-90=50
Help me with this! Will give brainlist!!
Answers
Answer:
answer is C i think
Step-by-step explanation:
Answer:
18.85 B
Step-by-step explanation:
13 p
Roxanna invested $10,000 in an account that earns 8.5% interest that is
compounded monthly. Determine the amount of money in the account in
15 years. (Lesson 7-10b)
Answers
Answer:
$35,100
Step-by-step explanation:
Given data
Principal=$10000
Rate= 8.5%
Time = 15 years = 180 months
The expression for monthly compounded interest is
A=P(1+r/12)^t
substitute
A=10000(1+0.085/12)^180
A=10000(1+0.007)^180
A=10000(1.007)^180
A=10000*3.51
A=$35,100
Hence the balance is $35,100
the present price of a car is 33750 every year the price decreased by 4% find the price of a car after 4 years
Answers
Answer: 28,665 currency units
Step-by-step explanation:
Find the value of the car after 4 years using the Future value formula:
= Amount * ( 1 + rate) ^ no. of years
= 33,750 * ( 1 + (-4%))⁴
= 33,750 * 0.84934656
= 28,665.45
= 28,665 currency units
What is the area of the rectangle with the given dimensions? *
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9
Answers
Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
plss help i’ll give brainliest thank you!
Answers
Answer:
p
Step-by-step explanation:
Absolute value cancels negative so the greatest would be P.
have a nice day and i hope this helps! <3
one ticket costs $8. if you have $56, how many tickets can you buy?
please show work if it’s possible!!:)
Answers
Answer:
7
Step-by-step explanation:
because 56 divided by 8 = 7
or 7 x 8 = 56
hope this helps?
if its right can i have brainlist?
:')?
Answer:
You can buy 7 tickets
Step-by-step explanation:
56 devided by 8 is 7
Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper
Answers
Answer:
4 packages
Step-by-step explanation:
Hi,
1.25x + 6.50 = 11.50
1.25x = 5
x = 4
He bought 4 packages.
I hope this helps :)
how many times can 82 go into 401
Answers
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
Solve for x
2 (x + 1) = -200 x= 66
2x + (-3) = = (-23) x=
X - 3 = (-9) x=
(-3x) - 5 = 16 x=
-4 (y - 2) = 12 x=
4x = (-28) x=
2x + 9 = (-15) x=
X + 5 = 18
3 (x+ 5) = 18
3x + 5 = 18
2 (x + 5) = 16
3 (y + 200) = 3000
20.8 = 4 (z + 1.1)
3 (x + 4.5) = 36
9 = 3 (x + 2)
2x + 16 = 50
14 = 2 (x + 3)
5x + 2 = 17
Answers
Answer:
---------
Step-by-step explanation:
x-3= -9
x= -9/ 3
x= -3
( -3x)-5 =16
-3x = 16+5
×= 21/-3
x = -7
Help me please I don’t know this stuff
Answers
What do the three red tiles in the model of the equation below represent?
=
1
-3
3
ОООО
-Зх
Answers
Step-by-step explanation:
There are 3 times of -x
which means the total of those x
=
[tex]3 \times ( - x) \\ = - 3x[/tex]
para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?
Answers
Answer:
link respuesta - https://answer-helper.com/mathematics/question21964709
Step-by-step explanation: