Answers
Answer:
AB = A'B', AD = A'D', CD = C'D', CB = C'B'
Step-by-step explanation:
There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.
The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.
Related Questions
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answers
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
26. Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. 27. Given that tanθ ≈ -1.559 where 3π2<θ<2π , find the values of sinθ and cosθ.
Answers
Answer:
a. i. sinθ = +0.941
ii. cosθ = +0.339
b. i. sinθ = -0.842
ii. cosθ = +0.540
Step-by-step explanation:
a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.
i. sinθ
Given that 1 + cot²θ = cosec²θ
cotθ = 1/tanθ
Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606
So, 1 + cot²θ = cosec²θ
1 + (0.3606)² = cosec²θ
1 + 0.13 = cosec²θ
1.13 = cosec²θ
cosec²θ = 1.13
cosecθ = ±√1.13
cosecθ = ±1.063
1/sinθ = ±1.063
sinθ = ±1/1.063
sinθ = ±0.9407
sinθ ≅ ±0.941
Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.
So, sinθ = +0.941 where 0<θ<π/2
ii. cosθ
Given that 1 + tan²θ = sec²θ
Since tanθ = 2.773,
So, 1 + tan²θ = sec²θ
1 + (2.773)² = sec²θ
1 + 7.6895 = sec²θ
8.6895 = sec²θ
sec²θ = 8.6895
secθ = ±√8.6895
secθ = ±2.9478
1/cosθ = ±2.9478
cosθ = ±1/2.9478
cosθ = ±0.3392
cosθ ≈ ±0.339
Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.
So, cosθ = +0.339 where 0<θ<π/2
b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.
i. sinθ
Given that 1 + cot²θ = cosec²θ
cotθ = 1/tanθ
Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414
So, 1 + cot²θ = cosec²θ
1 + (-0.6414)² = cosec²θ
1 + 0.4114 = cosec²θ
1.4114 = cosec²θ
cosec²θ = 1.4114
cosecθ = ±√1.4114
cosecθ = ±1.1880
1/sinθ = ±1.1880
sinθ = ±1/1.1880
sinθ = ±0.8417
sinθ ≈ ±0.842
Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.
So, sinθ = -0.842 where 3π/2<θ<2π
ii. cosθ
Given that 1 + tan²θ = sec²θ
Since tanθ = -1.559,
So, 1 + tan²θ = sec²θ
1 + (-1.559)² = sec²θ
1 + 2.4305 = sec²θ
3.4305 = sec²θ
sec²θ = 3.4305
secθ = ±√3.4305
secθ = ±1.8522
1/cosθ = ±1.8522
cosθ = ±1/1.8522
cosθ = ±0.5399
cosθ ≈ ±0.540
Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.
So, cosθ = +0.540 where 3π/2<θ<2π
A study of a population of 102
parrakeets revealed that 4 out
of every 12 parakeets in the
population are blue.
Based on the results of this
study, how many parakeets in
the population are NOT blue?
Answers
Answer:
68
Step-by-step explanation:
4 out of 12 are blue.
Then 8 out 12 are not blue.
8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.
2/3 of the birds are not blue.
2/3 of 102 = 2/3 * 102 = 68
Answer: 68
Please help find the volume by using 3.14 as pi
Answers
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answers
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answers
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
Answers
All the other answers are larger
For the pair of similar triangles, find the value of x.
Answers
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....
Answers
Answer:
-6n + 11
Step-by-step explanation:
The difference between each number is 6 (-6)
If n=1 then -6n + 11 =5
If n=2 the (-6×2) + 11 = -1
If n=3 the (-6×3) + 11 = -7
and so on.
You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.
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Can someone helps mezzzz
Answers
180-125=55
Explanation: Supplementary angles are equal to 180°, and vertical angles are congruent.
Evaluate: 4+8 / 2 x (6 - 3)
Answers
Answer:
16
Step-by-step explanation:
4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16
Answer:
18
Step-by-step explanation:
4+8 /2 *(6-3)
=4+8/2 * 3
=(4+8)*3/2
=12*3/2
=36/2
=18
find the value of x.
Answers
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
Factor the algebraic expression: 28a + 12
Answers
Answer:
hope it is helpful to you
Answer:
4(7a+3)
Step-by-step explanation:
28a+12
take common
4 is the common number for both the terms because it divides 28 and 12 exactly.
4(7a+3)
a) Use one of these symbols <, > or = to make each statement true.
(i) 18.4
| 18.04
(ii) 0.7
35
50
b) Round 173528 to the nearest hundred.
c) Write
as a decimal.
Answers
Answer:
(i) 18.4 > 18.04
(ii) 0.7 < 50 > 35
b) 173500
c) 173500
Step-by-s tep explanation:
(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.
(ii) Simple less than < greater than > skills.
b) Simple rounding.
c) The answers stays the same; rounding cannot be completed using JUST whole numbers.
Do y’all know this?
Answers
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
what is
6
+0.2
————-
Answers
Answer:
Your correct answer will be 6.2
Step-by-step explanation:
First, we line up the decimal points, 0.2 plus 6.0, always add 0 to the number without the decimal.
Last, you just add them, and you will get 6.2
Mark me brainliest and have a good day!
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Answers
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answers
Answer:
.........................
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answers
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
High school geometry
Answers
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
Look at the attached screenshot.
Answers
Answer:
yes...
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answers
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
Learn more about prism here:
brainly.com/question/23946563
#SPJ6
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answers
Answer:
45°Step-by-step explanation:
This is an isosceles right triangle as two legs are congruent.
The angle measure of both acute angles (B and C) is same:
m∠B = 90°/2 = 45°The following table shows the probability of rolling the numbers 1 through 7
on a fair 7-sided die.
х
1
2
3
4
5
6
7
P(X) 1/71/71/71/71/71/71/7
What is the standard deviation of the random variable X, "the number that
comes up on the die"?
A. 1.708
OB. 3.745
O C. 2.917
Оооо
D. 3.5
E. 2.0
Answers
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]
The second moment is..
[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]
[tex]\sqrt{20-4^2}=2[/tex]
pls help pls pls pls
Answers
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answers
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answers
Answer:
The answer is D (6).
hope this helps!
I need help thank you
Answers
Answer:
9 is the answer
Step-by-step explanation:
You will multiply 3x3 and 9x1 it will have the least common denominator
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answers
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.
What is Solution to Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.
We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.
We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.
Learn more about Equation here:
https://brainly.com/question/505879
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What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2
Answers
Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
