Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. A kite with diagonals is shown. It has side lengths of 41, 41, 50, and 50. The distance from the left point to the intersection is 40 and the distance from the right point to the intersection is 40. If the length of the base of both triangles measures 80 inches, what is the length of the kite’s shorter diagonal? 30 inches 39 inches 10 StartRoot 39 EndRoot inches 10 StartRoot 11 EndRoot inches.
Answers
The length of another diagonal length is 39 inches.
GeometryIt deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Kite shapeIt is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In Kite, the pair of adjacent sides are equal. And its diagonals intersect at a right angle.
Given
A kite with diagonals is shown. It has side lengths of 41, 41, 50, and 50.
One diagonal length is 80 inches.
To findThe length of another diagonal length.
How to find the length of another diagonal length?We know that its diagonals intersect at a right angle.
Then according to Pythagoras theorem
For ΔAED
H² = P² + B²
41² = P² + 40²
P = 9
Similarly,
For ΔCED
H² = P² + B²
50² = P² + 40²
P = 30
The length of another diagonal length will be
30 + 9 = 39
Thus, the length of another diagonal length is 39 inches.
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
39 units
Step-by-step explanation:
edge2022
Related Questions
7) When Ernest Rutherford worked with radioactive decay of radium, he noticed it had a
half-life of 100 days. This means that whatever the amount of radium he has at the
beginning, in 100 days he'll have half of that amount. In one experiment, he starts with
320 mg of radium, and stores it for 40 days. How much radium will be left after the 40
days?
Answers
Using an exponential function, it is found that 242.5 mg of radium will be left after the 40 days.
What is an exponential function?The exponential function for the amount of a decaying substance is modeled by:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is of 100 days, hence:
[tex]A(100) = 0.5A(0)[/tex]
Which is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-100k}[/tex]
[tex]e^{-100k} = 0.5[/tex]
[tex]\ln{e^{-100k}} = \ln{0.5}[/tex]
[tex]-100k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{100}[/tex]
[tex]k = 0.0069314718[/tex]
Then, the equation is:
[tex]A(t) = A(0)e^{-0.0069314718t}[/tex]
He started with 320 mg of radium, hence [tex]A(0) = 320[/tex], and the equation is:
[tex]A(t) = 320e^{-0.0069314718t}[/tex]
After 40 days, the amount left is:
[tex]A(40) = 320e^{-0.0069314718(40)} = 242.5[/tex]
242.5 mg of radium will be left after the 40 days.
You can learn more about exponential functions at https://brainly.com/question/25537936
. Carrie sent 190 total text messages in the first
five days of May. If text messages cost 4¢
each, much should she expect to pay that
month?
Answers
Answer:
760 ¢
Step-by-step explanation:
190 multiplied by 4 is 760
40 points and brainliest to the best correct answer, questions in photo.
Please do and explain numbers 2, 4, 6, and 8, thank you.
Answers
Answer:
2. w = -3
4. c = -2
6. r = 7
8. n = 4
Step-by-step explanation:
It's hard to read the photo, but I'll try.
2.
[tex] 2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1} [/tex]
On the left side, you have a product of 2 powers with the same base.
Give the same base and add the exponents, as in the rule
[tex] a^m \times a^n = a^{m + n} [/tex]
You get on the left side 2 to the sum of the exponents.
[tex] 2^{w + 4 + 4w + 6} = 2^{2w + 1} [/tex]
Simplify the long exponent on the left side.
[tex] 2^{5w + 10} = 2^{2w + 1} [/tex]
Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.
Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.
5w + 10 = 2w + 1
Subtract 2w from both sides. Subtract 10 from both sides.
3w = -9
Divide both sides by 3.
w = -3
4.
[tex] \dfrac{1}{5} = 5^{2c + 3} [/tex]
We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.
Recall the rule:
[tex] a^{-n} = \dfrac{1}{n} [/tex]
Apply this rule to the left side in reverse.
[tex] 5^{-1} = 5^{2c + 3} [/tex]
Now we have two powers that are equal, both having the same base, 5, so the exponents must be equal.
2c + 3 = -1
2c = -4
c = -2
6.
[tex] 216 = 6^{2r - 11} [/tex]
This is the same idea as problem 4. Write the left side as a power of 6.
[tex] 6^3 = 6^{2r - 11} [/tex]
[tex] 2r - 11 = 3 [/tex]
[tex] 2r = 14 [/tex]
[tex] r = 7 [/tex]
r = 7
8.
[tex] 4^{n} \times 4^{2n - 9} = 64 [/tex]
This problem is similar to problem 2.
[tex] 4^{n + 2n - 9} = 4^3 [/tex]
[tex] 4^{3n - 9} = 4^3 [/tex]
3n - 9 = 3
3n = 12
n = 4
clarissa earned 8$ for working 3 hours. how many hours will she have to work to earn 16$
Answers
Answer:
6 hours you're welcome owo
3. Why does it tako 3 copies of; to show the same amount as 1 copy of ?? Explain your answer in words
and pictures
Answers
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
Given triangle ABC is similar to triangle DEC. Could you use the proportion 9/10=8.75/EC to determine the measure of EC? If yes, solve for EC. If no, rewrite the proportion and then solve for EC.
Answers
Answer:
9.72 approximately
Step-by-step explanation:
Given triangles are similar, to solve 9/10=8.75/EC we cross multiply expressions:
9EC = 87.5 now divide both sides by 9
EC = 9.72 approximately
Convert rational numbers to their equivalent decimals
Answers
Answer:
In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.
Complete the statements to solve for x. By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN. Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x 4 EndFraction. Cross-multiply: (x – 5)( ) = x(x – 3). Distribute: x(x) x(4) – 5(x) – 5(4) = x(x) x(–3). Multiply and simplify: x2 – x – = x2 – 3x. Solve for x: x =.
Answers
The value of x is 10.
GivenBy the converse of the side-splitter theorem;
If [tex]\rm \dfrac{JK}{KL}[/tex] then, KM||JN.
What is the side-splitter theorem?If a line is parallel to one side of the triangle and intersects the other 2 sides, it divides the sides proportionally.
If a line is drawn parallel to one side of the triangle, then it divides the other two sides in the same ratio.
KM || JN
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\[/tex]
Where JK = x-5, KL = x-3, NM = x, and KL = x+4.
Substitute all the values in the equation
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\ \dfrac{x-5}{x-3} = \dfrac{x}{x+4}\\\\(x-5) (x+4) = x(x-3)\\\\x^2+4x-5x-20 = x^2-3x\\\\x^2-x-20-x^2+3x=0\\\\2x-20=0\\\\2x = 20\\\\x = \dfrac{20}{2}\\\\x=10[/tex]
Hence, the value of x is 10.
To know more about the side-splitter theorem click the link given below.
https://brainly.com/question/10612748
Answer:
NM/ML
x+4
20
10
Step-by-step explanation:
just did it
-edge 2022
Question 3
In the diagram, m ll n. Identify all of the angles that are congruent to <2.
A. <3, <6, <7
B. <1, <7, <8
C. <1, <3, <4
D. <4, <6, <8
Answers
What is the first step to solve for 9 − 4 = 18?
Answers
Step-by-step explanation:
bring the 4 to 18 which will give you 22.
Next you divide them by 9.
The answer you get is it
Further explanation:
9-4 equals 5
Check the equality between 5=18
This equality is false because the left and right hand side are different
Your solution/answer is false
Triangle angle sum theorem
What is the value of u?
Answers
Answer:
u=122
Step-by-step explanation:
hey there!
32+u-47+u-49=180 (sum of angle of triangle)
2u-64=180
2u=180+64
u=244/2
u=122
hope it helps!!
thank u!
A person can spend at most $12 on corn oil and cereal. A bottle of corn oil costs $3 and a box of cereal costs $2. Identify the inequality and the graph that describe the situation where x is the number of bottles of corn oil and y is the number of boxes of cereal.
Answers
can someone help i don't understand this
Answers
b) d = sqrt3 because in order to find the short leg for a 30-60-90 triangle, you would need to divide your long leg by a square root of 3 (if you have the hypotenuse and wanted to find the short leg, divide the hypotenuse by 2).
Determine the area, in square units, of the region bounded above by f(x)=11x−3 and below by g(x)=10x−5 over the interval [12,34]. Do not include any units in your answer.
Answers
Using integrals, it is found that the area bounded by the two curves in the interval is of 550 units squared.
How is the area under a graph found?The area under the graph of a curve bounded above by a function f(x) and below by a function g(x) over an interval [a,b] is given by:[tex]A = \int_a^b f(x) - g(x) dx[/tex]
In this problem:
The functions are [tex]f(x) = 11x - 3, g(x) = 10x - 5[/tex].The interval is [12, 34], hence [tex]a = 12, b = 34[/tex].Then:
[tex]A = \int_{12}^{34} 11x - 3 - (10x - 5) dx[/tex]
[tex]A = \int_{12}^{34} x + 2 dx[/tex]
[tex]A = \frac{x^2}{2} + 2x|_{x = 12}^{x = 34}[/tex]
Applying the Fundamental Theorem of Calculus:
[tex]A = \frac{34^2}{2} + 2(34) - \frac{12^2}{2} - 2(12) = 550[/tex]
The area is of 550 units squared.
To learn more about integrals and the calculation of area, you can take a look at https://brainly.com/question/26142669
$35,000 at 2% for 9 years. ending balance and interest
Answers
Answer:
[tex]Solution[/tex]
Here,
[tex]Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years[/tex]
[tex]Now, Interest(I)=\frac{PTR}{100}[/tex]
[tex]=\frac{35000*2*9}{100}\\= $3600[/tex]
What is the slope of the line
Answers
Please help
Which expression is equivalent to (3w-8)-4(2w+3)?
A. 11w+4
B. -5w-5
C. -5w+4
D. -5w-20
Answers
Answer:
-5w-20 is equivalent to (3w-8)-4 (2w+3)
PLEASE CAN SOMEONE HELP ASAP!!!!!!!!
DUE BY 11:59 OMGGG
Answers
Answer:
A, C, F
Step-by-step explanation:
JK is proportional to PQ, so that would be 8/x. Then, JL is proportional to PR, which would be 10/5. So, the answer is: 8/x = 10/5
Then, C would also be correct as KL is proportional to QR, and JK is proportional to PQ.
Finally, F is correct as JK to KL is proportional to PQ to QR, as JK is proportional to PQ, and KL is proportional to QR.
Function or not a function
Answers
Answer:
Not a function.
Step-by-step explanation:
Due to the fact that an element from the first set of components is associated with one and only one element from the other. In this case, as it is a circumference, the elements match with more than one element of the other set. I'll give you an example.
Note: I've tried to keep it as simple as possible, and I'm not natively English so I don't really know how some things are mentioned, but I've also made a picture representation and I think it simplifies.
what is the volume of this prism
Answers
Answer:
42
Step-by-step explanation:
The base of the prism is a rectangle 2 units by 3 units.
The height of the prism is 7 units.
volume = area of the base × height
volume = 2 × 3 × 7 cu units
volume = 42 cu units
100 Points
what percentage of 205 is 54? can you also show your work
Answers
Answer:
the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26
Step-by-step explanation:
we convert 54/205 into a percentage
Answer:
x = 26.34%
Step-by-step explanation:
Let the percentage be x:
205 * x% = 54
x% = 54 ÷ 205
x% = [tex]\frac{54}{205}[/tex]
[tex]\frac{x}{100}[/tex] = [tex]\frac{54}{205}[/tex]
x = [tex]\frac{54*100}{205}[/tex]
x = [tex]\frac{5400}{205}[/tex]
x = 26.34146341%
x = 26.34%
Susan drove 385 miles in 7 hours.
At the same rate, how long would it take her to drive 605 miles?
Answers
Answer:
11hrs.
ur hawt
One-Step Equations pls help 30 points if you solve them
Answers
Answer:
No1.
let x represent number of ice cream cones
80=12+4x
80-12=4x
68=4x
x=68/4
x=17
Check:
12+4(17)
=12 +68=80
3. 5x+14=9
collect like terms
5x=9-14
5x=-5
x=-5/5
x= -1
check:
5(-1)+14= -5+14 =9
Natalie bought 10 pizzas for a party. When the party was over, she noticed 1/5 of the
pizza was gone. How much pizza did everyone eat at the party?
Answers
Answer:
8 pizzas
Step-by-step explanation:
If 1/5 was remaining, the hoard consumed 4/5 of all the pizza.
(4/5)*(10 pizzas) = 8 pizzas
Answer:
2 pizzas
Step-by-step explanation:
[tex]\frac{10}{1}[/tex]*[tex]\frac{1}{5}[/tex]=[tex]\frac{10}{5}[/tex]
then divided 5 by 10 and it equals 2 pizzas.
Jada has 1¾ gallons of juice. She wants to fill 3 pitchers, which each hold 2/3 gallon. Does she have enough juice to fill all 3 pitchers?
Answers
Hi, any help is appreciated.
Answers
Answer:
x=25
Step-by-step explanation:
125+30= 155
180-155=25
180 is the overall total of the line so the angels will add up to 180
Answer:
x = 25°
Step-by-step explanation:
angle of st line is 180°
125+30+x = 180
155+x=180
x = 25°
NEED THIS NOW.
Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12
1
2
% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answers
Answer:
1053.7$
Step-by-step explanation:
750$ x 12%= 90
first year: 750 + 90 = 840
840$ x 12%= 100.8$
second year: 840+ 100.8= 940.8
940.8$ x 12%= 112.896
third year (now)= 940.8+ 112.896 = 1053.696$
Make
q
the subject of the formula 5(q + p) = 4 + 8p
Give your answer in its simplest form.
Answers
Answer:
5q+5p=4+8p
= 5q+5p-8p=4
= 5q-3p=4
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10? $46. 25 $36. 25 $56. 25 $26. 25.
Answers
The difference in price per passenger for a group of 16 versus a group of 10 is $26.25.
Given
A group of friends chartered a deep-sea fishing boat out of Destin, FL.
The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.
What is a linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The group of 16 people would cost $2,500, so it would be $156.25 for each person.
The group of 10 people would cost 1,300 (I got this from going to 10 on the chart then following it up to the line), so it would be $130 per person.
Then, $156.25 - $130 = $26.25
Hence, the difference in price per passenger for a group of 16 versus a group of 10 is $26.25.
To know more about the Linear equation click the link given below.
https://brainly.com/question/13553275
The area of a circular swimming pool is approximately 18m2. What is the best estimate for the radius?
Answers
Answer:
Below
Step-by-step explanation:
Since S = πr², then r=√{S/π)=2.3942
