Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **
Answer:
VW = 31
WX = 19
YW = [tex]\sqrt{1322}[/tex]
ZX = ([tex]\sqrt{1322}[/tex]) / 2
VX = [tex]\sqrt{1322}[/tex]
Step-by-step explanation:
[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]
[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322
ZX = YW/2 = VX/2
Measures of the different sides of the rectangle will be,
YX = 31 units
WX = 19 units
VW = 36.36 units
ZX = 18.18 units
VX = 36.36 units
Quadrilateral VWXY is a rectangle.
Properties of a rectangle,
Opposite sides of a rectangle are equal.Diagonals of a rectangle bisect each other.Diagonals are equal in measure.YX = VW = 31 units
VY = WX = 19 units
By applying Pythagoras Theorem in right triangle ΔWXY,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(WY)² = (WX)² + (XY)²
YW = [tex]\sqrt{19^2+31^2}[/tex]
= [tex]\sqrt{1322}[/tex]
= 36.36 units
ZX = [tex]\frac{1}{2}(YW)[/tex]
= [tex]\frac{1}{2}(36.36)[/tex]
= 18.18 units
VX = YW = 36.36 units
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The math problem is in picture
Answer:
B
Step-by-step explanation:
Welcome for the answer!Answer:
my best guess would be B
Step-by-step explanation:
3.61 + 1.23 = 4.48
If f(x) = 3^(x + 4), find f(2).
Answer:
18
Step-by-step explanation:
2X
[tex]2x + 4 = 0[/tex]
Answer:
The value of x = -2
Step-by-step explanation:
Given equation:
2x + 4 = 0
Find:
The value of x
Computation:
We know that given equation 2x + 4 = 0 is a liner equation with only one variable.
So, we can solve this by elimination method
2x + 4 = 0
Step 1 :
Subtract 4 from both side
2x + 4 - 4 = 0 - 4
2x = -4
Divide 2 from both side
2x / 2 = -4 / 2
x = -2
The value of x = -2
cos(0)=2/2 ,and <0<2pi, evaluate sin(0) and tan(0). sin (0)=? tan(0)=?
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.
Given cos(θ) = sqrt(2)/2
cos^2(θ) + sin^2(θ) = 1
sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2
sin(θ) = +/1 sqrt(2)/2
As we know sin(θ) is negative,
sin(θ) = -sqrt(2)/2; the second answer
tan(θ) = sin(θ)/cos(θ) = -1
Answer:
Step-by-step explanation:
using (cosθ)^2 + (sinθ)^2 = 1
2/4 + (sinθ)^2 = 1
sinθ = [tex]\sqrt{2}/2[/tex]
or -[tex]\sqrt{2} /2[/tex]
By C-A-S-T, sinθ is -ve
sinθ = -[tex]\sqrt{2}/2[/tex]
tanθ = sinθ/cosθ = -1
plss help if u do u get brainlist and help asap school bitterly almost done
Answer:
w+8²
p+30÷p²
4(9+y)
Step-by-step explanation:
Answer:
Answers are below.
Step-by-step explanation:
1. [tex]C^{3}[/tex]
2. A + C / 3
Second exercise:
1. w + (8 x 2)
2. 30 + p / p
3. 4 (9 + y)
hope this helps and is right :) p.s. i really need brainliest.
if my answers are wrong, then i am incredibly sorry!
Maths equation please help
Answer:
V=120cm³
Step-by-step explanation:
v=12(5)(6)-4(10)(6)
v=120cm³
hope it helps...
have a great day!!
plz help this is due tomorrow
[tex](4 + \sqrt{2} )(6 - \sqrt{2} )[/tex]
Answer:
22 + 2|/2
Step-by-step explanation:
24 - 4|/2 + 6|/2 - |/4
24 + 2|/2 - 2
24 - 2 + 2|/2
22 + 2|/2
note: |/ means root
couldn't find a sign for root so just makeshift with that
hope it helps.
How many square feet of outdoor carpet will we need for this hole?
Answer:
30 square ft
Step-by-step explanation:
Find the area of each rectangle and add them together
(2)(5) + (2)(6) + (2)(4) = 30
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.
You receive an A 40% of the time, a B 20% of the time, a C 15% of the time , and a D the rest of the time. For any random test, what is your expected grade point average? (Use the following values for X: A=4, B=3, C=2, D=1)
The grade you receive on a test is a discrete random variable with probability mass function
[tex]f_X(x)=P(X=x)=\begin{cases}0.4&\text{for }X=4\text{ (i.e. scoring an A)}\\0.2&\text{for }X=3\text{ (B)}\\0.15&\text{for }X=2\text{ (C)}\\0.25&\text{for }X=1\text{ (D)}\\0&\text{otherwise}\end{cases}[/tex]
where the probability of getting a D is 25% because there are only 4 possible grades, and the probabilities must sum to 1 :
0.4 + 0.2 + 0.15 + 0.25 = 1
The expected test score/GPA is then
[tex]\displaystyle\sum_x x\,f_X(x)=\sum_{x=1}^4 x\,P(X=x)=1\cdot0.25+2\cdot0.15+3\cdot0.2+4\cdot0.4=\boxed{2.75}[/tex]
so your average would fall between a B and a C.
Consider the quadratic function y = 1/5(x - 2)2 + 5.
Which statements are true about the function and its graph? Select two options.
The vertex of the function is (-2,5).
There are no real roots for the function.
The graph of the function opens down.
The graph contains the point (2,5).
The graph intersects the x-axis at one unique point.
Answer:
Step-by-step explanation:
There are no real roots and the graph contains point (2,5). Notice it is in vertex form. So there must be a point at x = 2 and y = 5. However, if it is the vertex and it opens upwards, that means it cannot intersect the x axis. So 2 and 4 are the correct answers I believe.
Please answer correctly! I will Mark you Brainliest!
Select the correct answer.
Consider this equation.
sin()
4729
29
If 8 is an angle in quadrant IV, what is the value of cos();
OA.
OB.
4729
29
V377
29
4729
29
OC.
OD
V377
29
Answer:
377/29
Step-by-step explanation:
this is the answer for plato, i took the test btw
For the given value of sin, the value of cosΘ will be 0.73.
What is trigonometry?A right-angle triangle's sides, angles, and relationship to each other are the subject of the mathematical discipline of trigonometry. The pair ratio of a right-angled triangle is known as the trigonometric ratio.
It is given that, sinΘ= -4√29 / 29
Θ=sin⁻¹(-4√29 / 29)
Θ= -0.74
The value of cosΘ is obtained as,
=cosΘ
=cos( -0.74)
=0.73
Thus, the value of cosΘ will be 0.73.
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What is the name of segment BD ?!
Answer:
diameter
Step-by-step explanation:
BD is the diameter of the circle.
simplify the ratio 25:15:10
Answer:
60%
Convert fraction (ratio) 15 / 25 Answer: 60%
Help me with this math problem please:):)
PLEASE HELP I WILL GIVE BRAINIEST. What is the Median?
Answer:
DA MIDDLE LINE. 6
Plz help I need it!!!!!!!!!!!!
Answer:
114°
Step-by-step explanation:
[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
(-5, 4)
A. y* -(x + 5)2 - 4
B. y = -(x - 5)2 - 4
C. y = -(x - 5)2 + 4
D. y = -(x + 5)2 + 4
Answer:
D
Step-by-step explanation:
Because the x-coordinate of the vertex is negative, only A or D could be the correct equation for this parabola. D is correct because its constant (4) matches the y-coordinate of the vertex (-5, 4).
Answer:
y = -(x + 5)2 + 4
Step-by-step explanation:
Can someone please help me with this it’s really important
Answer: i would say 30 + 20 - 10 - 20 - 0
sorry if i am wrong
Step-by-step explanation:
What are the coordinates of the point (-1, 5) when it is reflected across the y-axis? *
Answer:
1,5
Step-by-step explanation:
when reflecting across y-axis it'll be in the same order, but using whatever form that quarter of the coordinate plane is in (e.g. 5,7 ----> -5,7)
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. After 40 attempts at drawing two marbles from the bag, there were three instances where a blue marble then a yellow marble was pulled. What is the percent difference between the theoretical probability and the experimental probability?
75%
26%
56%
35%
Answer:
35%
Step-by-step explanation:
The percent error can be found using the
|Experimental value - Theoretical value| divided by |Theoretical value| and multiplied by 100.
I hope this helps
Here, the experimental probability is 1/4 and theoretical probability is 1/18.Then the percent difference between the theoretical probability and the experimental probability is 56%.
What is probability ?The probability is a measure of chances that an event to take place.
Given that,
red marbles = 3
blue marbles =1
yellow marbles = 2
Then.
theoretical probability of selecting a blue marble followed by a yellow marble is:
P(blue and yellow) = P(blue) x P(yellow) = (1/6) x (2/6) = 1/18
Since the marbles are replaced after each draw, the probability of this event is the same for every draw.
The experimental probability of selecting a blue marble followed by a yellow marble after 40 attempts is:
(3/6) x (2/6) x (40 attempts) = 10
Therefore, the experimental probability is 10/40 = 1/4
The percent difference between the theoretical probability and the experimental probability is:
| (experimental probability - theoretical probability) / theoretical probability | x 100%
= | (1/4 - 1/18) / (1/18) | x 100%
= 0.583 x 100%
= 58.3%
Therefore, the percent difference between the theoretical probability and the experimental probability is approximately 58.3%, which is closest to the option 56%.
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hii please help i’ll give brainliest
Answer: -(-3)
Step-by-step explanation:
a double negative would equal to a positive :)
Megan has a baseball card collection containing 10 cards. She graph the value of these 10 cards on a scatterplot as shown
Answer:
a basketball card generally increases in value over time (second one)
Step-by-step explanation:
1. it doesn't always increase
3.No it would be around 0.75
4.No it would be around $5.50 I think
Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of the other ingredients does she use?
Recipe: Makes 12 bread rolls
600 g flour
12 g salt
9 g yeast
42 mL oil
330 mL water
400
10
7
40
130
(not sure if this helped but yeah)
Gabriele's Pie Shop sold 80 pies last month: 7/10 were apple pies and 1/10 were peach pies. How many pies were neither apple nor peach?
a.)40
b.)32
c.)16
d.)9
Answer:
16 pies were neither apple nor peach.
Step-by-step explanation:
8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.
what is the area and yard of 15 and 4
Answer:
The area and yard is 60.
Step-by-step explanation:
15 x 4 = 60
Let me know if that helps!
if someone can do this? thanks<3
Answer:
x=16y=76r=494n=108m=45t=793b=81z=352x=33p=564y=109k=126Step-by-step explanation:
I used a calculator. :)
PLEASE HKEP I AM BEGGING YOU ASAPPP I WILL GIVE I PRONIS I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!
D(2)
C(6)
A(5)
B(4)
https://www.mathsisfun.com/definitions/coefficient.html
Answer:
1 eafbcd 2 12
St 3 \ep-by-step explanation: