A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12. The figure is a kite. What is the length of the kite’s longer diagonal? 5 units 35 units 40 units 48 units
Answers
The length of the kites longer diagonal will be 40 units. Option C is correct.
What is the Pythagoras theorem?Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
The digrame attached shows the length of all the sides as;
AB=37 units
BE = 12 units
BD = 13 units
BE = 12 units
To find:
The length of the kite’s longer diagonal, AD
From the figure it is observed the longest diagonal is the addition of the sides from the top of the triangle as;
From the triangle, AEB, according to Pythagoras theorem,
h²=p²+b²
AE² = AB²-BE²
AE²=37²-12²
AE=35 units
From the triangle according to Pythagoras theorem,
h²=p²+b²
DE²=BD²-BE²
DE²=13²-12²
DE = 5 unit
The length of the kites longer diagonal will be the sum of the two sides;
AD = AE+ED
AD= 35 + 5
AD = 40 units
The length of the kites longer diagonal will be 40 units.
Hence option C is correct.
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Related Questions
Please Help
What is the equation of this line in slope-intercept form?
1) y= 3x - 1
2) y=-3x - 1
3) y = 3x + 1
4) y=-1/3x-1
Answers
Determine the value of x
A. 8
B. 4
C.8sqrt2
D. 8sqrt3
Answers
Answer:
The value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]
Option C is correct.
Step-by-step explanation:
We need to find value of x
We are given Perpendicular = 8
Hypotenuse = x
and Ф= 45°
Using trigonometric identity
[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]
Putting values and finding x
[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}\\sin \ 45^o=\frac{8}{x}\\\frac{1}{\sqrt{2} }= \frac{8}{x}\\\frac{1}{\sqrt{2} }x=8\\x=8\sqrt{2}[/tex]
So, the value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]
Option C is correct.
What are the slopes ?
Answers
Answer:
11. is a slope of -7/2
12. is a slope of 4 :)
Step-by-step explanation:
can you substarct in any orde?
Answers
plzz do ill give brainlyist and 100pt
2, 3, 6, 7, 10
Answers
Answer:
15
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18. 6.9 7.5 10 11
Answers
Answer:
the answer is 7.5
Step-by-step explanation:
took the quiz on edge ;-)
Answer:
7.5
Step-by-step explanation:
I hope I helped
PLEASE HELP!!!
Which equation has roots of 3±√2
?
A
x2−4x+1=0
B
x2−18=0
C
x2+6x+7=0
D
x2−6x+7=0
Answers
Answer:
1 think 89
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is D.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
A.) x²−4x+1=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(1)}}{2(1)}\\\\x = \dfrac{4 \pm \sqrt{16 - 4}}{2}\\\\x = \dfrac{4 \pm \sqrt{12}}{2}[/tex]
x = 2 ± √3
B.) x²−18=0
x² = 18
x = √18
C.) x²+6x+7=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(6) \pm \sqrt{(6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{-6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{-6 \pm \sqrt{8}}{2}[/tex]
x = -3 ± √2
D.) x²−6x+7=0
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{6 \pm \sqrt{8}}{2}[/tex]
x = 3 ± √2
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The points in the table lie on a line. Find the slope of the line.
Answers
Answer:
4 !
Step-by-step explanation:
Using the slope formula, you can take two of those sets of points to find the slope! i used the first two.
(-2, -10) and (-1, -6)
[tex]m= \frac{-6 - -10}{-1 - -2} = \frac{4}{1} = 4[/tex]
So the slope is 4!
I hope this helped!! Have an amazing day <3
6th grade math I mark as brainliest
Answers
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
A rancher has a square cow pen with side length x. He decides to change the shape
of the pen while still using the same amount of fencing materials. The equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
of the pen and its area (in square feet).
a. If 300 represents the area of the new cow pen, what do the expressions
(x + 10) and (x - 10) each represent?
b. Find x, the original side length (in feet) of the square pen. Show your reasoning.
Answers
Answer:
a) x+ 10 is the length of the ranch
x - 10 is the width of the ranch
b) 20 feet
Step-by-step explanation:
Area of the square ranch = L²
L is the side length of the ranch
If the equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
Then we can find x where;
x + 10 is the new length of the ranch
x - 10 is the new width of the ranch
Open the parenthesis
equation
(x + 10)(x - 10) = 300
x²²-10x + 10x - 100 = 300
x² - 100 = 300
x² = 300+100
x² = 400
x = √400
x = 20
Hence the original length of the square pen is 20 feet
The values (x + 10) and (x - 10) represents the length and width of the new pen.
The value of x, the original length of the pen is 20 cm
How to find the side of a square?The pen is a square. It was later reconstructed to form the following expression.
(x + 10)(x - 10) = 300
where
area = 300 feet squaredTherefore,
(x + 10)(x - 10) = 300
x² - 10x + 10x - 100 = 300
x² - 100 = 300
x² = 300 + 100
x² = 400
x = √400
x = 20 ft
Therefore, the original side length of the square pen is 20 ft.
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ILL GIVE BRAINLIEST IF CORRECT!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?
Answers
Answer:
35/3
Step-by-step explanation:
[tex]\frac{x+6 + 6x+2+x+6}{3} =4x-7[/tex]
Simplify to get
9x+14=3(4x-7)
35=3x
x=35/3 or 11.66
A container of 45 brownies cost $6.47. A box of 30 cookies costs $5.29.
How much does one brownie cost?
Answers
Answer:
one brownie is .14
one cookie is .17
Step-by-step explanation:
Select the correct answer.
Consider the function below.
х
-1
0
1
2
fx)
-2.
3
8
00
13
Which of the following functions could be the Inverse of function ?
A.
Х
-2
3
00
8
13
g(x)
-1
0
1
2
B.
Х
-2
-3
-8
-13
1
0
-1
-2
OC.
х
-1
0.
1
2
p(x)
2.
-3
-8
-13
D.
х
1
0
-1
-2
s(X)
-2
3
3
00
8
13
Answers
Answer:
A
Step-by-step explanation:
i pick that answer because u have yo flip the number around
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of the function, we need to switch the x and y variables, and then solve for y.
So, we start by writing the function in terms of y:
y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}
Now we switch the x and y variables:
x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}
Next, we solve for y:
For x = -2, y = -1
For x = 3, y = 0
For x = 8, y = 1
For x = 13, y = 2
Therefore,
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
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6.) 92% of 58 is what?
Answers
Answer: 53.36
Step-by-step explanation:
If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (calculate P X Q before and after the price change)
Answers
Answer:
Revenue will decreaseStep-by-step explanation:
Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30
Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.
When price increase from $50 to $60, the total revenue will decrease
let say the quantity Q1=30 , and the new quantity after price increase is Q2=20
1. The revenue PxQ before price change will be
PxQ= P1xQ1=50*30
PxQ= $1500
1. The revenue PxQ after price change will be
PxQ=P2xQ2= 60*20
P2xQ2= $1200
This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease
3. Jin purchased 7 tacos for $18.55. How much will he pay for 15 tacos?
Answers
Jin (WWH) spends 18.55 for every 7 tacos he gets. That means he spends 18.55÷7 for every taco he gets.
18.55÷7 = 2.65
Now you need to find how much he spends for 15 tacos. If one taco is 2.65, you need to multiply 15 by 2.65 to find the price for 15 tacos.
2.65×15=39.75.
Jin will have to pay $39.75 for 15 tacos.
Which of the following functions could model the amount of gallons of water, ƒ(x), that the bathtub will contain after x minutes of being filled?
A
ƒ(x) = 5x + 7
B
ƒ(x) = 5x + 12
C
ƒ(x) = 7x + 5
D
ƒ(x) = 12x + 5
Answers
Answer:
A . ƒ(x) = 5x + 7Step-by-step explanation:
As per table we have
Common difference of 5 (bottom row)So initial amount of water is 12 - 5 = 7 gallonsSo the function is:
f(x) = 5x + 7Correct option is A
Answer:
Step-by-step explanation:
It’s 5x+7 A on here and C on there
Calculate the circumference of a circle when the diameter is 5cm. Give your answer to 2
decimal places.
Answers
Answer:15.70
Step-by-step explanation:The formula for the circumference is 2πr. Plug-in the number provided into the formula, since diameter is double the radius you just divide the 5 by 2 to get 2.5.
So, 2π2.5=15.70
2 time π =6.28
6.28 time 2.5= 15.70
If a car can travel 1530 miles in 15 hours , what is its constant speed? ( In other words how fast cbs it travel in one hour?)
Answers
Answer:
In 1 hour you *COUGHS* a car can travel 102 miles
Step-by-step explanation:
1530 miles: 15 hours
so let's say x is how many hours there are in 1 hour.
x miles: 1 hours
15 hours to: 1 hour?
what do you think you should do?
I'll give ya a hint, it's a ratio
HINT HINT: divide 15 hours by 15 to get 1 hour. You think u can do the same to 1530 miles? just divide it by 15
Find the missing length for the pair of similar figures.
Answers
Answer:
a = 4.5
Step-by-step explanation:
In easy way you can understand by this simple way
if 4m half is 2m
so, 9m half is 4.5
in simple way answer
3x + (2 + x) + 5 ∙ 3
Answers
3x + 2 + x + 5 * 3
3x + 2 + x + 15
Combine like terms:
4x + 17
It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing day, what is the total number of leaves that have fallen to the ground by the end of the 24th day of autumn
Answers
Answer: 1,594,323
Step-by-step explanation:
No of leaves which falls daily on the first day = 1
No of days leaves falls = 14 days.
Solution:
No of leaves of day 1
= 1.
No of leaves on day 2
= 1*3
= 3
No of leaves of day 3
= 3*3
= 9
No of leaves of day 4
= 9*3
= 27
No of leaves on day 5
= 27*3
= 81
No of leaves on day 6.
= 81*3
= 243.
No of leaves of day 7
= 243*3
= 729
No of leaves on day 8
= 729 * 3
= 2187
No of leaves on day 9
= 2187 *3
= 6561
No of leaves on day 10
= 6561 * 3
= 19683
No of leaves on day 11
= 19683 * 3
= 59049
No of leaves on day 12
= 59049 *3
= 177147
No of leaves on day 13
= 531441
No of leaves on day 14
= 531441 * 3
= 1,594,323.
The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323
Kadence reads 8 pages in her book every 30 minutes. How many pages will she read in 6 hours?
A. O 84 pages
B.O 96 pages
C.O 240 pages
D. O 48 pages
Answers
Answer:
96 pages
Step-by-step explanation:
This is because she reads 16 pages per hour so we just multiply 16 by 6 hours. And we get 96 pages.
Answer:
B. 96 pages
Step-by-step explanation:
8 pages in 30 minutes.
16 pages in 60 minutes. ( 8 x 2 = 16 pages)
60 min = 1 hour
16 pages in 1 hour.
16 x 6 = 96 pages in 6 hours
Simplify (-2)^4
A.) -16
B.) -8
C.) 16
Answers
16.
Answer:
A. negative sixteen
I need help :) plss with this question
Answers
Answer:
it bb
Step-by-step explanation:
simply a⁵×a-⁵×a⁰
I will mark as brainlest
Answers
your ans is a power 10.
i think this is correct
please help!! giving brainliest
Answers
Answer:
2. Def of supplementary angles
3. Def of supplementary angles
cammie can mow 1/2 acre in 25 minutes. if her rate is constant, cammie says she can mow 1 1/4 acres in one hour
Answers
Answer:
NO because
Step-by-step explanation:
1/2+1/2+1/4=1 1/4
1/2=25min
25+25+12.5=62.5
It would take 62.5 min to do 1 1/4 acres
There is a box of crackers that has 2/5 of the crackers remaining. If Mrs. Cooper eats 3/10 of the remaining crackers,what fraction of the box did she eat
Answers
Answer:
1and2and3and4and5and5
\The Mughal empire is best known for ______. a. it’s architecture c. the Persian and the Umayyad b. the division of Islam into Sunni & Shia d. conquering Spain
Answers
Answer:
it's architecture.
Step-by-step explanation:
I took the test
Answer:
a.
it’s architecture