Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and
Answers
Answer:
Step-by-step explanation:
The 4 sides of a square are usually the same ;
Hence, each side is called the side length ; from the diagram attached :
Side length of square 4 = a + b
Side length of square 5 = a + b
If the side lengths are equal ; that is (a + b) ; the the area which is the square of the side length will also be the same.
Related Questions
5
Which fraction is equivalent to 20
?
N
Answers
Answer:
4/20
Step-by-step explanation:
The smallest size of a hybrid bike, a bike that can be ridden both on and off dirt, is 16.9 inches . Bikes are fitted using a person's inseam with the smallest inseam for a hybrid bike being 25 in. For inseams 25 inches ( in .) or longer, each 0.68 of an inch increase in bike size, a person's inseam is 1 inch longer. A medium size bike has a range of 20.9 in. to 22 in. Write an inequality, where x is the length of an inseam, in inches, that can be used to determine the inseam sizes that best fit a medium size bike.
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The inequality that can be used to determine the inseam sizes that best fit a medium size bike is 25 < x < 28.32.
A bakery sold 32 bagels in the first hour of business and 37 bagels in the second hour. If the bakery had 228 bagels to start with, how many bagels were left after the second hour?
Answers
Answer:
159 bagels left
Step-by-step explanation:
add the 32 and 37 then subtract the answer from 32 and 37 from 228 and your answer is 159
The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answers
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
show that 2/4+1/4=3/4 and not 3/8 using pictures
Answers
Answer:
Here
Step-by-step explanation:
Step by step solution:
Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.
The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:
Given:
=2/4 + 1/4
=(2+1)/4
=3/4
Therefore, 2/4 + 1/4=3/4 and not 3/8
Note:
Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.To read more about "Fraction" here:
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Help me please!! please
Answers
Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.
Step-by-step explanation:
2. 8.SP.1.2
Which line represents the best fit for the scatter
plot data?
10
10
8
8
6
2
2
A.
0
2 4 6 8 10
C. 0
10
10
101
8
8
6
61
4
2
2
B.
0
8 10
D. 0 2 4 6 8 10
Answers
Answer:
A
Step-by-step explanation:
A. because the line of best fit has to be at best fit between the points so is a good approximation of where all the points are heading when you try to predict something.
WILL MARK BRAINLIEST given angles A and B in quadrant I with tan = 7/24 and tan B = 15/8, find tan (A + B), find the exact value of each expression by applying the identity.
Answers
Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87
What is Trigonometric IdentityA trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.
In the given problem, we have a compound angle problem and we can solve it as;
tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]
tan A = 7/24tan B = 15 / 8Substituting the values into the expression and solve;
tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]
Applying the rules of PEMDAS;
tan A + tan B = (13 / 6) / (29 / 64)
tan A + tan B = 416/87
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Help me with this question please! NO FILES!
Answers
Answer: i don't know
Step-by-step explanation:
i need points but good luck
Find the trigonometric ratios for both acute angles in fraction and decimal form to the nearest ten-thousandths when appropriate.
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The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin A = BC/AB
sin A = 12/13
sin B = AC/AB
sin B = 5/13
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos A = AC/AB
cos A = 5/13
cos B = BC/AB
cos B = 12/13
Apply the tangent ratio on the given right triangle
⇒ sin(θ) = Perpendicular/Base
tan A = BC/AC
tan A = 12/5
tan B = AC/BC
tan B = 5/12
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Please look at picture please help!!
Answers
Answer:
8,167.14 m²
Step-by-step explanation:
Given:
Diameter = 102 m
Required:
Area of circle
Solution:
Area of a circle = πr²
Where,
π = 3.14
r = ½(102) = 51 m
Plug in the values
Area = 3.14*51²
Area = 8,167.14 m²
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
Answers
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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need some help with this
Answers
The length of the missing side is 54.
What is Triangle?Triangle is a closed polygon consisting of three sides, three vertices and three angles.
Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.
Given that ΔABC and ΔPQR are similar.
Let x be the side length of PR.
Ratio of their side lengths are equal.
AB : PQ = BC : QR = AC : PR
5 : 45 = 8 : 72 = 6 : x
Take the ratios 8 : 72 = 6 : x
⇒ 8 / 72 = 6 / x
Cross multiplying,
⇒ 8x = 72 × 6
⇒ 8x = 432
⇒ x = 432 / 8 = 54
Hence the side length missing is 54 units.
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x^2-2/3x+9 factored
Answers
Answer:
x^2 - 2 /3 (x+3)
Step-by-step explanation:
If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.
Answers
The requried other factors of the given function are (x - 2) and (x - 3).
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
= [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)
Thus, the requried other factors of the given function are (x - 2) and (x - 3).
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the way a persuasive person is that will attract good business relationships
Answers
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.
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The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)
How to write the equation of the lineThe general form of a linear equation is y - y₁ = m (x - x₁).
It draws attention to the line's slope and one of the line's points (that is not the y-intercept)
The point slope formula is given by y - y₁ = m (x - x₁), where:
y = output value
y₁= the given y coordinate point
m = slope
x = input value
x₁ = the given x coordinate
substituting the point (-10,1) and slope 3/2
y - y₁ = m (x - x₁)
y - 1 = 3/2 (x + 10)
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Which equation is NOT true?
Parallelogram Q R S T with diagonal S Q. Angle R has measure (15 x + 55) degrees, angle R Q S is (6 x) degrees, angle S Q T is (4 x) degrees, and angle T is (26 x) degrees.
CLEAR CHECK
15+55=6+4
15
x
+
55
=
6
x
+
4
x
15+55=26
15
x
+
55
=
26
x
25+55=180
25
x
+
55
=
180
m∠=6+4
Answers
Answer: can you put them in order so i can read it better?
Step-by-step explanation:
Omar walked across the room, a distance of 6.75 yards, in 5.3 seconds. Write a unit rate to describe how quickly Omar walked in 1 second. Explain your thinking.
(please hurry, thank you) :)
Answers
Answer:
1.273584906 yds / second
Step-by-step explanation:
Take the number of yards and divide by the number of seconds
6.75 yds / 5.3 seconds
1.273584906 yds / second
[tex] \huge \mathrm{Answer : }[/tex]
Distance covered = 6.75 yardsTime taken = 5.3 seconds[tex] \boxed{ \mathrm{speed = \dfrac{distance}{time} }}[/tex]
[tex] \dfrac{6.75}{5.3} [/tex][tex]\mathrm{1.2735849057 \: yd/s}[/tex][tex]\mathrm{1.27 \: yd/s\: (approx)}[/tex]In 1 second he will walk 1.27 yards
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Wilmer cashed his paycheck at Check Express. The fee at Check Express is 9% of the amount of the check. His paycheck was $291. How much was the fee for Wilmer to cash his paycheck?
Answers
Answer:
$26.19
Step-by-step explanation:
9% as a decimal is 0.09.
So, the fee is [tex](291)(0.09)=\$26.19[/tex].
Answer:
$26.19
Step-by-step explanation:
.09 x 291 = 26.19
3
8.) La Venadita gave Mr. Gonzalez 10 pounds of
ceviche. Mr. Gonzalez gave Mr. Hopkins 6 pounds
of ceviche. How many pounds of ceviche does Mr.
Gonzalez have left?
Answers
Answer:
4
Step-by-step explanation:
Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)
Please help, give brainliest
Answers
Answer:
The answer is B and C
No explanation needed cuz I am sure for my answer
Determine whether the triangle can have sides of the given lengths. 3 cm. 10 cm. 8 cm
Answers
Answer:
Yes
The inequality of the triangle:
[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]
Step-by-step explanation:
[tex]10<3+8[/tex]
[tex]3<10+8[/tex]
[tex]8<10+3[/tex]
The inequality works, therefore these sides can make a triangle
Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.
Answers
Answer:
R=17
Step-by-step explanation:
R=17
It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)
Thus R=17 Will Be correct
A company is expanding its building area from 13,000 square feet to 18,720 square feet. What is the percentage increase of the area of the building space?
A.
44%
B.
56%
C.
57.2%
D.
4.4%
Answers
18720-13000=5720
5720÷13000=0.44
Therefore,option A is correct,i.e.,44%
how do u estimate 5004
Answers
Answer:
[tex]5004 \approx5000[/tex]
Answer:
Step-by-step explanation:
You would have know to how much accuracy you want to know. Estimates are about ball parking a number into some other idea about an easy way to understand what a number represents. 5,000 might be a good estimation for a distance that you're going to walk, if the exact distance is 5,004. You get a pretty good idea of how far , time wise, energy required ect ect.. when you say 5,000 So estimation is really about making the numbers easier to use and understand. Numbers are "abstract" they only represent ideas.
find area of this parallelogram
Answers
Answer:
168
Step-by-step explanation:
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Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answers
Answer:3.8
Step-by-step explanation:
Find the area of the figure below and please show how you got the answer.. Thanks
Answers
find the measure of angle x in each of the following figure
Answers
Answer:
x = 114
Step-by-step explanation:
180 - 66 = x
x = 114
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