Given kite ABCD with AD=AB, AO=3, and BD=8. Find AD.
This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD
Answers
Answer:
AD = 5
Step-by-step explanation:
Given:
A kite ABCD with following dimensions:
AD = AB
AO = 3 and
BD = 8
To find:
AD = ?
Solution:
Kindly refer to the attached image for the figure of given dimensions.
In a kite, the following properties hold true:
1. The diagonals of a kite are perpendicular to each other.
2. The longer diagonal(along the vertex angles) bisects the shorter one.
Using above properties:
Looking at the [tex]\triangle AOD:[/tex]
[tex]\angle AOD=90^\circ[/tex]
AO = 3
OD = 4
We know that, Pythagoras theorem hold true in every right angled triangle.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
[tex]AD^{2} = 4^{2} + 3^{2}\\\Rightarrow AD = \bold{5}[/tex]
The value of AD should be 5.
Calculation of the value of AD:Since kite ABCD with AD=AB, AO=3, and BD=8
Here angle AOD = 90 degrees
And, AO = 3 and OD = 4
So, here we use the Pythagorean theorem
[tex]= \sqrt 3^2 + 4^2\\\\= \sqrt{9 + 16} \\\\ = \sqrt{25}[/tex]
= 5
Hence, The value of AD should be 5.
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Related Questions
Please help. I do not understand and I have limited time to do so
Answers
Answer:
D would be the answer
Step-by-step explanation:
since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)
4x - 12 +7x
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
How many terms are in the above expression?
Answers
Answer: 4 is a coefficient, because it's in front of a variable. x is a variable, because it's an unknown value. 12 is a constant, because it's just a value by itself. There are three terms: 4x, -12, and 7x.
Step-by-step explanation:
How many planes pass through three or more vertices of a regular octahedron?
Answers
Answer:
The total number of planes = 23 planes
Step-by-step explanation:
The number of planes are give as follows;
The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20
The number of distinct planes that has 4 points in the octahedron = 3
Therefore, the total number of planes are 20 + 3 = 23 planes.
0=5y-x+5 in slope intercept form
Answers
Answer:
y=1/5x-1
Step-by-step explanation:
SI form is Y=mx+b
Hope it’s correct
· 100 · (0.7)3. (1 - 0.7)5-3?
Answers
100•(0.7)3•(1-0.7)5-3
100•0.7•3•0.3•5-3
315-3
312
Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pounds of peanuts for $7.50. How much is the cost per pound? C. 4 rolls of toilet paper for $2. How much is the cost per roll? D. 10 apples for $3.50. How much is the cost per apple?
Answers
Answer: A. Cost per egg = $4 .
B. Cost per pound = $ 2.5
C. Cost per roll = $ 0.5
D. Cost per apple = $0.35
Step-by-step explanation:
Formula: cost per item = (total cost) ÷ (number of items)
A. 12 eggs for $3.
Cost per egg = $ (12÷3) = $4
So, Cost per egg = $4 .
B. 3 pounds of peanuts for $7.50
Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5
So, Cost per pound = $ 2.5
C. 4 rolls of toilet paper for $2.
Cost per roll = $ (2 ÷4 ) = $ 0.5
So, Cost per roll = $ 0.5
D. 10 apples for $3.50.
Cost per apple = $ (3.50 ÷ 10)= $ 0.35
So, Cost per apple = $0.35
GUYS WILL U PLS HELP ME I AM IN DESPERATE NEED OF iT!!!!!!!
Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answers
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
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1400 = 2P x 52 x 7
Find the value of p.
Answers
Answer:
The answer is 25/13
Step-by-step explanation:
Answer:
1.923=p If you are rounding you can round to 1.9
Step-by-step explanation:
We must simply get P alone.
1400 = 2p*52*7
First we can multiply the integers
1400 = 2p*364
To get P alone we can divide by 364 on both sides
1400/364 = 2p
3.846 = 2p
Divide by 2 on both sides
3.846/2 = p
1.923 = p
Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?
Answers
Answer:
The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445
Step-by-step explanation:
Since we have given that
Amount he saved per month over the first 7 months = $35
Amount he saved per month over the next 5 months = $40
So, total saving by the end of the year is given by
\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}
35×7+40×5
=$245+$200
=$445
Hence, the expression shows the number of dollars he will have saved by the end of the year is given by
35(7)+40(5)=\$44535(7)+40(5)=$445
What is the value of (-5) the power of 4
Answers
Answer:
625
Step-by-step explanation:
(-5)^4 = 625
A half marathon is a distance of 13.1 miles. Your teachers decides to run a half marathon and it takes about 2 hours. What is the average speed of your teacher?
Answers
Answer:
its 7
Step-by-step explanation:
Kyree can run ⅓ of a mile in 2 minutes. How long does it take Kyree to run 1 mile?
Answers
Answer:
6 mins
Step-by-step explanation:
1 = 3/3
3/3 / 1/3 = 3/1 = 3
3 x 2 = 6
Given the equation of a linear function in standard form 2x + 3y = 12, solve for y. Select all that apply
Answers
-2x -2x
3y=-2x+12
divide everything by 3
y=-2/3x+4
what are the common factors of 24 and 36
a. 1,3,4,9,18
b. 1,2,3,4,6,12
c. 1,2,3,4,6,8,12
d .1,2,4,6,12
Answers
what is f(x) = -2?
a. 3
b.8
c.4
d.0
Answers
Answer:
the answer is a.3!
Step-by-step explanation:
You can find this by finding the value -2 on the graph (x axis) and find what the corresponding y value is! in this case, it is 3.
I hope this helps let me know if you have any questions!
Please help! I need to multiply these with step by step work (x^2+2x+8)(x^2-x+1)
Answers
Answer:
x^4+x³+7x²-6x+1
Step-by-step explanation:
(x²+2x+8)(x²-x+1)
distribute
x²(x²-x+1)
x^4-x³+x²
2x(x²-x+1)
2x³-2x²+2x
8(x²-x+1)
8x²-8x+1
x^4-x³+x²+2x³-2x²+2x+8x²-8x+1
combine like terms
x^4+x³+7x²-6x+1
If f(x) = 2x + 1 and
g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?
Answers
Answer:
The smallest solution is x=-1
Step-by-step explanation:
Quadratic Equation
We have:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=-(x-1)^2+3[/tex]
We'll find the solutions of f(x)=g(x), or:
[tex]2x+1=-(x-1)^2+3[/tex]
Operating:
[tex]2x+1=-(x^2-2x+1)+3[/tex]
[tex]2x+1=-x^2+2x-1+3[/tex]
Rearranging all terms on the left side:
[tex]2x+1+x^2-2x+1-3=0[/tex]
Simplifying:
[tex]x^2-1=0[/tex]
Since the term with the x is missing, we can solve for x:
[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]
There are two solutions:
x=1, x=-1
The smallest solution is x=-1
w=4u + 3
Find the value of w when u=8
Answers
Answer:
35 You need to put 8 as w=4(8)+3 then you times 4 and 8 which equals 32 then you are going to add 32 with 3 to get 35
The value of W is 35 if we put u = 8 in the equation W = 4u + 3.
What is an equation?An equation is a mathematical statement in algebra that consists of an equal symbol between two algebraic expressions with the same value.
How to solve this problem?Given that W = 4u + 3.
In order to get the desired value, we have to put u = 8 in this equation.
Then W = 4 × 8 + 3 = 32 + 3 = 35
Therefore, the value of W is 35 if we put u = 8 in the equation W = 4u + 3.
Know more about equations here -
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18 less than a number
Answers
Answer:
Step-by-step explanation:
The answer is simple
18 - 1 = 17
Answer:
18<b
Step-by-step explanation:
b can repersent any number and you can use any letter in replace of b.
Hope this helps!
Tim's mother, using the odometer in the car,
measured the distance between their house and
Tim's school to be 12.8 miles. Tim then
converted the distance in miles to inches, there
are 63,360 inches in each mile.
Which of the following values would be an
approximate and appropriate representation of
the distance in inches that Tim calculated?
A. 811,008 inches
B. 811,000 inches
C. 810,000 inches
D. 800,000 inches
Answers
Answer:
A
Step-by-step explanation:
the reason for this equations answer to be A is because if you take the inches in one mile 63,360 and multiple it by the miles that it takes to get the school 12.8 you'll get 811,008.
F (2) =
(please give an explanation i'm confused)
Answers
Answer:
I think it would be like f x2 so you would reorder the term and get 2f
Step-by-step explanation:
Lines e and m are intersected by transversalt and ei m.
e
m
1
3
2.
5
4
7
6
8
If m_2 = 112, what is m_7?
Answers
simplify
the 6 is an exponent
(3x5)^6
Answers
Pls mark brainliest
Answer:
1/225
Step-by-step explanation:
Which set of numbers does NOT contain 75?
Answers
Answer:
The one that doesn't contain 75
Step-by-step explanation:
uhh don't know
If 7x +10 = 44, what is the vallue of 7x – 50?
Answers
Answer:
7x-50 = -16
Step-by-step explanation:
7x + 10 = 44
x = 34/7
7(34/7) - 50 = -16
A group of workers can plant 56 acres in 7 days what is their rate in acres per day?
Answers
Finding the Zeroes of a Quadratic Function
x f(x) = −x2 + x + 6
−2 a
−1 4
0 b
1 6
2 c
a =
b =
c =
Answers
Answer:
-2 a
Step-by-step explanation:
Answer: stay steez up twin
A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?
Answers
Answer:
A) Find the square root of 8,100.
Step-by-step explanation:
Answer is above
I need the formula for calculating interest in APR.
Will give Brainliest
Answers
Answer:
To calculate APR, you can follow these 5 steps:
1. Add total interest paid over the duration of the loan to any additional fees.
2. Divide by the amount of the loan.
3. Divide by the total number of days in the loan term.
4. Multiply by 365 to find annual rate.
5. Multiply by 100 to convert annual rate into a percentage.
Don't know if you still need this, but thought I could help!
a 4.5 pound of apples costs $22.50. how many pounds for a dollar?
Answers
Answer:
.2 lbs
Step-by-step explanation:
4.5/22.5
0.2 pounds as 4.5 / 22.5 = 0.2