Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.
Answer:
Step-by-step explanation:
How do I do this I don’t understand it
Answer:
you graph it on the LINE and find the slope
The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.
Someone please help me
Solve 6a + 5a= -11
Answer:
hi
Step-by-step explanation:
6a+5a= -11
11a= -11
a= -11/11
a= -1
hole it helps
have a nice day
What value on the number line is the
same distance from 0 as -3.75
Answer:
3.75
Step-by-step explanation:
|-3.75|=3.75
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
PLZ HELP! BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!
.. .. ..
Answers:
-97.7-36.50.06Hope this helps!
--Applepi101
Choose the correct future tense form of the verb in parentheses.
Ellos (saber) la verdad.
sabré
sabrás
sabremos
sabrán
.
Answer:
The correct future tense would be sabrán, which basically means they will know in English.
Step-by-step explanation:
Since the question states "Ellos" (they) as in a group of people, sabrán would be the right one.
These words (in order) basically roughly mean
I will know
You will know
We will know
THEY will know
Answer:
D. sabrán
Step-by-step explanation:
The form of the verb, saber, has to match the form of the pronoun that is doing the action. "Ellos" is doing the action, and ellos means "they". The "they" form of a verb ends with an "en" or "an". So your best answer is sabrán.Please click the heart if this helped.
Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.
Answer:
around 5.5 inches
Step-by-step explanation:
34.48 = 2rπ
34.48/π = 2r = around 11
r = 11/2
The radius of the circle is equal to 5.49 inches.
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
here, we have,
Given here:
Circumference as 34.48 inches and π=3.14
Now circumference of the circle is given by
2πr=34.48
r=34.48/2×3.14
r=5.49 inches
Hence, The radius of the circle is equal to 5.49 inches.
Learn more about circumference here:
brainly.com/question/14200825
#SPJ2
Help asap! No links or weird answers, please :(
The question and answer choices are in the picture below. The question is about scatter plots.
Answer: b
Step-by-step explanation:
im guessing
what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2
Answer:
8/2
eight halves
Step-by-step explanation:
please mark this answer as brainliest
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Combined volume of the two number cubes = 54 cm³
Step-by-step explanation:
Given:
Side of a cube = 3 centimeter
Number of cubes = 2
Find:
Combined volume of the two number cubes
Computation:
If we combine two cube new figure will be a cuboid.
Length of new cuboid = 3 + 3 = 6 cm
Height of new cuboid = 3 cm
Width of new cuboid = 3 cm
Volume of cuboid = (l)(b)(h)
Combined volume of the two number cubes = (6)(3)(3)
Combined volume of the two number cubes = 54 cm³
Irene is going to read a 216-page book.
If she reads at a rate of 18 pages per day, how many days will it take her to read 1/
3 of the book
Answer:
4 days
Step-by-step explanation:
216/3 = 72
72/18 = 4
which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2
What are the solutions of x^2 - 2x +2 = 0?
A. X= i Or x= -i
OB. X= 2+ i or x = 2- I
O C. x = 1+i or x = 1-i
O D. x = 2i or x = -2i
Answer:
C
Step-by-step explanation:
Given
x² - 2x + 2 = 0 ( subtract 2 from both sides )
x² - 2x = - 2
To solve use the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 2 + 1
(x - 1)² = - 1 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )
x = 1 ± i , then
x = 1 + i or x = 1 - i → C
help me outttt, thank you so much whoever does :))
12.59
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There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of daises to roses?
Answer:
5:6
Step-by-step explanation:
1: Minus 11 (all flowers) by 6 (roses) = 5
2: Put daisies before roses, because it says daises to roses.
3: Your answer should be 5:6
Ur welcome
When two parallel lines are cut by a transversal, _______________________ angles are supplementary
A.Corresponding angles
B. Alternate interior angles
C, Alternate exterior angles
D.Same side interor angles
Answer:
When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.
Step-by-step explanation:
I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
Answer:
What're the questions??
Step-by-step explanation:
why did this just now show up for me when it was in 2021 bro
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E
Answer:
2+2=4
Step-by-step explanation:
if I just want to be here
Can someone help me find the surface area and volume for these shapes ty.
Answer:
you multiply im pretty sure
Step-by-step explanation:
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
What does (-0.75) (5/7) equal ?
Answer:
-0.53571428571
Step-by-step explanation:
Please look at the screenshot
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
x=5 so what is (x+3)² =
(3+x)²
(5+3)²=
8²=
64
.
.
.
.
Answer:
64
Step-by-step explanation:
Since x=5
(5+3)^2
(8)^2= 64
