A rhombus has side lengths of 25. What could be the lengths of the diagonals? *
Answers
Answer:
0 < x < 50
Step-by-step explanation:
We start out with a square (which IS a rhombus for all sides are equal in
length. That's when the diagonals are equal in length, which, by the
Pythagorean theorem equal to
5*√2
C^2=a^2+b^2
=25^2+25^2
Factorise
c^2=25^2 × 2
c=square root of 25^2 × 2
That is
c=√25^2 × 2
=5×√2
As we decrease the angle on the bottom left and increase the angle on
the bottom right, the green diagonal increases to 25+25 or 50, but never gets to 50. The red diagonal shrinks to 0 but never gets to 0.
the lengths of a diagonal can only be in the open interval from 0 to 50. In interval notation that is (0,50) or 0 < x < 50.
Answer:
Minimum value: 0, Maximum value: 50
Step-by-step explanation:
A rhombus is a quadrilateral with side of same length but different angle pairs. Let consider the following rhombus (See attachment). It is known that sum of all angles in quadrilateral is equal to 360°. The length of each diagonal is, respectively:
[tex]d_{1} = 2\cdot l\cdot \sin 0.5\alpha[/tex]
[tex]d_{2} = 2\cdot l \cdot \sin (90-0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot (\sin 90^{\circ}\cdot \cos 0.5\alpha - \cos 90 \cdot \sin 0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot \cos 0.5\alpha[/tex]
Each expression shows that value of a diagonal changes at the expense of the other one inasmuch angle changes. The minimum and maximum values of any of the diagonal occur when trigonometric functions are equal to 0 and 1, respectively.
Minimum value: [tex]d_{min} = 0[/tex], Maximum value: [tex]d_{max} = 2\cdot l = 2 \cdot (25) = 50[/tex]
Related Questions
Someone please help me
Answers
Answer:
3/2
Step-by-step explanation:
Since the lines goes through the point (0,0)
We have a point (2,3)
The slope is y/x = 3/2
A total of 511 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 more student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
255
Step-by-step explanation:
EXPLANATION We are looking for the number of adult tickets sold. number of adult tickets sold =x We are given that there were 61 more student tickets sold than adult tickets. number of student tickets sold =+x61 The total number of tickets sold was 511.
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 12.25π square centimeters.
Answers
Answer:
The height is 3.43 centimeters, approximately.Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]
Where all sectors have equal area.
Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle
[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]
Therefore, the height is 3.43 centimeters, approximately.
What is the experimental probability of not rolling a 2?
Answers
Answer:
5/6
Step-by-step explanation:
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answers
Answer:
(5x+1)(2x^2+1)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Carol is solving the inequality 3
have?
There are infinitely many solutions.
There are only two solutions.
There is only one solution.
There are no solutions.
Answers
Answer:
There are infinitely many solutions
Step-by-step explanation:
Firstly, I need to change f to x as the system won’t accept the word f
Let’s take a look at the question;
3 is less than x
The domain of our answer lies in the the range of values where we have numbers that are greater than 3
This means we can rewrite our inequality as x is greater than 3
Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end
This makes us have infinitely many solutions for the value of x
O model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? Replace "is" with =, "less than" with –, and "a number" with n to get 16 = 5 – n. Replace "is" with =, "less than" with +, and "a number" with n to get 16 = n + 5. Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5. Replace "is" with =, "less than" with ÷, and "a number" with n to get 16 = 5 ÷ n.
Answers
Answer:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Step-by-step explanation:
Hi, to answer this question we have to analyze the statement given and write an equation:
Sixteen is five less than a number
So, the number sixteen (16) is (=) five less (-5) than a number (n).
We have to subtract 5 to a number (x) and that expression must be equal to 16.
Mathematically speaking:
16= n-5
So, the correct option is:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Feel free to ask for more if needed or if you did not understand something.
Answer:
C :)
Step-by-step explanation:
before you go, don't forget to smile:)
I need help ASAP! What is the value of x and what is the value of y?
Answers
Answer:
Step-by-step explanation:
4x and 5x are supplementary, so they add up to 180.
4x + 5x = 180 and
9x = 180 so
x = 20.
Because DE and BA are parallel, then 2y and 70 degrees are alternate interior and are equal to one another.
2y = 70 so
y = 35
Miki tosses a coin 50 times, and the coin shows tails 28 times.
What is the experimental probability of Miki getting tails?
Answers
Answer:
28/50, or 56 percent.
Step-by-step explanation:
Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.
HELPPPPPPP GIVING 100 POINTS FOR ANSWER.......Ivan bought a box of macadamia nuts to bring home from his trip. A rectangular prism with a length of 18 centimeters, width of 15 centimeters, and height of 3 centimeters. What volume of nuts could the container hold? 270 centimeters cubed 369 centimeters cubed 738 centimeters cubed 810 centimeters cubed
Answers
Answer:
18 x 15 x 3 is 810. The volume is 810.
Step-by-step explanation:
Volume of cuboid= Length*Width*Breadth
Volume of container= 18 cm X 15 cm X 3cm
Volume of container=810
Hope i helped
Answer:
[tex]810[/tex] centimeters cubed.
Step-by-step explanation:
The formula: [tex]Length * width * height[/tex]
[tex]18 *15*3 =810[/tex] centimeters cubed
The length, l, of a rectangle is 3 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. Which inequalityshows the range of possible lengths of the rectangle?
Answers
Answer:
l >= 9 and w >= 6
Step-by-step explanation:
The perimeter of the rectangle can be found by:
→ Perimeter = (2 x length) + (2 x width) (1)
Since the length is 3 inches greater than the width:
→ l = w + 3
Also, the perimeter is at least 30 inches
If you substitute the values in the equation 1:
→ (2 x l) + (2 x w) >= 30
→ (2 x (w + 3)) + (2 x w) >= 30
→ 2 x w + 6 + (2 x w) >= 30
→ 4 x w >= 24
→ w >= 6
Since l = w + 3, l >= 9
Ana is saving to buy a bicycle that costs $135. She has saved $98 and wants to know how much more money she needs to buy the bicycle.The equation 135 = x + 98 models this situation, where x represents the additional amount of money Ana needs to buy the bicycle... When substituting for x, which value(s), if any, from the set {0, 37, 98, 135, 233} will make the equation true? *
Answers
Answer:
37
Step-by-step explanation:
135-98 equals 37
Evaluate l-a21, given a = 5, b=-3, and c= -2.
-10
10
-25
25
Answers
Answer:
10
Step-by-step explanation:
assuming those are meant to be absolute value brackets you have -5 x 2 which is -10 but because it is in the absolute value lines all answers become positive =10
20 is about what percent of 52
Answers
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 52 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 20% of the output value, so we can write it down as x=20%.
5. Now we have two simple equations:
1) 52=100%
2) x=20%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
52/x=100%/20%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 20% of 52
52/x=100/20
(52/x)*x=(100/20)*x - we multiply both sides of the equation by x
52=5*x - we divide both sides of the equation by (5) to get x
52/5=x
10.4=x
x=10.4
now we have:
20% of 52=10.4
Step-by-step explanation:
HELP GUYS PLEASE ANSWER FAST
Answers
Answer:
5/4
Step-by-step explanation:
Slope is y1-y2/x1-x2 so if you plug in the coordinates you get 4-(-1)/4-0 which you would get 5/4
Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.
Answers
Answer:
0.5
Step-by-step explanation:
8^3 = 512
(8^2)*(4^2) = 1024
512/1024 = 0.5
An investor invested a total of $900 in two mutual funds. One fund earned a 7% profit while the other earned a 4% profit. If the investor's total profit was $51, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 7% was?
Answers
Answer:
y = 400 (amt invested at 4%)
x = 500 (amt invested at 7%)
Step-by-step explanation:
Kindly check attached picture for detailed explanation
x - y = 3
a. work out the value of 5(x-y)
b. work out the value of 2x - 2y
c. work out the value of y - x
will give brainliest !
Please help it's due at 2:45!!!!!!!!
Answers
Answer:
5 (x-y)=15
2x-2y=6 and
y-x=-3
Step-by-step explanation:
first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.
a. 5(x-y)
5[(y+3)-y] (first you substitute x by y+3.)
5 [y+3-y] ( then you remove the bracket.)
5[y-y+3] ( you collect like terms in the bracket.)
5 [3] (-y+y=0) so it means 5×3=15.
b. 2x-2y (like before you substitute x by y+3.)
2 (y+3)-2y
2y+6-2y (then you remove the bracket.)
2y-2y+6 (you collect like terms)
0+6=6. (because 2y-2y=0)
c. y-x
y-(y+3) ( you substitute x by y+3.)
y-y-3 (you remove the bracket)
0-3=-3 (because y-y=0)
When a higher confidence level is used to estimate a proportion and all other factors involved are held constant
Answers
Options :
A) the confidence interval will be wider.
B) the confidence interval will be narrower.
C) there is not enough information to determine the effect on the confidence interval.
D) the confidence interval will be less likely to contain the parameter being estimated.
E) the confidence interval will not be affected.
Answer: A) The confidence interval will be wider
Step-by-step explanation: In statistics, When a higher confidence interval is used to estimate a proportion with other factors being held constant, the confidence interval will be wider. Since the confidence interval is aimed at tweaking the precision of our measurement or estimation, when we adopt a higher confidence level, we are trying g to reduce our chances of being wrong and hence increasing our precision and thus widening the level of confidence in the result obtained. That said, 95% confidence interval is wider than 90%. And 99% is wder than 95%.
Which statement is true regarding the graphed functions?
f(4) = g(4)
f(4) = g(-2)
f2) = g(-2)
f(-2) = g(-2)
Answer ASAP
Answers
Answer: f(2) = g(-2)
Step-by-step explanation: f(x) line if u go to the x axis you see that it’s 2 the x intercept.....
The g(x) line you go to the x axis and see it is -2, that is the x intercept
3. An acute triangle with angles measuring 60 degrees,62°, and 58 degrees,
Possible or impossible
Answers
Answer:
Possible
Step-by-step explanation:
y=sin 20 find the period
Answers
Answer:
In most cases u are either given the value of "t" or the question would be written this way: y=sin20t where as, when comparing we would get the exact value of T(period) at the end
Find the volume of the triangular prism.
Answers
Answer:
225/4 sqrt(3) in ^3
Step-by-step explanation:
The volume is found by
V = Bh
The B is the triangle
B = s^2 sqrt(3)/4
= 5^2 sqrt(3)/4
25/4 sqrt(3)
We know the height is 9
V = 25/4 sqrt(3) *9
V = 225/4 sqrt(3)
this is approximately 97.42785793 in^3
A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply
Answers
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
Read more on Brainly.com - https://brainly.com/question/10679054#readmore
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got it correct
Please Help Me i'll give you all my points
A survey of your friends find that 11 own a dog, 12 own a cat, and 7 have no pet. Find the experimental probability that the next person you ask will be a cat owner.
Answers
Answer:
40% chance or probability
Step-by-step explanation:
30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%
833 ÷ 64 showing remainders
Answers
Answer:
13.015625
Step-by-step explanation:
Answer:
13 remainder 1.
I have attached the work to your question.
Please see the attachment below.
I hope this helps!
(−2)(−2)+4 is equal to
Answers
Answer:
8
Step-by-step explanation:
[-2][-2]=-2 x-2=4
4+4=8
Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 6 miles from her home. The football field is 7 miles from the library.
a. How far is library from the park?
b. How far is the park from the football field?
Answers
Answer:
a. 6.48 miles b. 9.54 miles
Step-by-step explanation:
a. 7/x=x/6
x^2=42
x=6.48
b. 13/x=x/7
x^2=91
x=9.54
Answer:
A. 6.48 miles
B. 9.54 miles
Step-by-step explanation:
hope this helps :-)
Prove algebraically that (image). Trigonometric Identities. Please help.
Answers
Answer:
Step-by-step explanation:
What is the definition of exponential growth?
A. A condition in which a quantity decreases at a steady rate
B. A condition in which a quantity increases at a steady rate
C. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
D. A condition in which a quantity decreases at a rate that is
proportional to the current value of the quantity
Answers
Answer:
C. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
Step-by-step explanation:
Exponential growth is increasing, but not at a steady rate. On a graph, it has a curve instead of being a straight line.