The sum of squares of two sides is equal to the square of the third side.
Finding the Third Side of a Triangle with Two Sides
Let's assume that the triangle is right-angled, as the third side of a right-angled triangle can only be found when the other two sides are known.
According to Pythagoras' Theorem, the sum of squares of two sides is equal to the square of the third side.If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)A right-angle triangle is what?
This particular sort of triangle adheres to the Pythagoras theorem and may be calculated using the trigonometry tool.
We are aware that the right-angled triangle follows Pythagoras' Theorem.
According to the Pythagorean Theorem, the third side's square equals the sum of the first two sides' squares.
More about the right-angle triangle link is given below.
brainly.com/question/3770177
#SPJ4
The complete question should be:
What is the length of 3rd side of a triangle?
How do you solve a 5 =- 5a 5?
The value of a is zero.
Now, According to the question:
The given equation is:
a + 5 = -5a + 5
To solve the above equation:
Subtract 5 on both sides
a + 5 - 5 = -5a + 5 - 5
a = -5a
Add 5a on both sides:
6a = 0
Divide both sides by 6
a = 0
Learn more about Equation at:
https://brainly.com/question/29657983
#SPJ4
The complete question is this:
How do you solve a + 5 = -5a + 5
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer: it is the 4 one which is 3(5-n)=2n+16
5/2
Irrational
Rational
Answer:
Rational
Step-by-step explanation:
PLEASE HELP!!! DUE SOON!! NO LINKS ARE RANDOM WORDS!! Each day there are eight million withdrawals from 32,000 ATM machines. What is the average number of withdrawals per machine?
Answer:
250
Step-by-step explanation:
Answer:
250 withdraws per machine
Step-by-step explanation:
8,000,000/32,000
The word "per" indicates division/multiplication.
Lemon quah ha 2 part of concentrate to 5 part of water, if you put 90ml of concentrate in a gla, how much water hould be added?
Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.
Firstly we will be creating the ratio for the mentioned information. It will be as follows-
Amount of concentrate/Amount of water
The proportion will be -
2/5 = 90/Concentration of water
Concentration of water = 90×5/2
Now perform multiplication in numerator on Right Hand Side of the equation
Concentration of water = 450/2
Then work out the division on Right Hand Side of the equation
Concentration of water = 225 mililitres
Thus, the required amount of water is 225 mililitres.
Learn more about concentration -
https://brainly.com/question/26255204
#SPJ4
I need help with this. Khan academy
Answer:
[tex]11\pi[/tex]
Step-by-step explanation:
[tex]s = r \times theta[/tex]
where r is the radius.
The radius is 11 and theta(in radians) is pi so
[tex]s = 11\pi[/tex]
Find the missing term in the arithmetic sequence −14, _, _, 46
What are the potential solutions of In(x^2-25)=0?
Answer:
[tex] x =\pm \sqrt{26}[/tex]
Step-by-step explanation:
Given :-
ln ( x² - 25 ) = 0And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,
Equation :-
[tex]\implies log_e {(x^2-25)}= 0 [/tex]
In general :-
If we have a logarithmic equation as ,[tex]\implies log_a b = c [/tex]
Then this can be written as ,
[tex]\implies a^c = b [/tex]
In a similar way we can write the given equation as ,
[tex]\implies e^0 = x^2 - 25 [/tex]
Now also we know that [tex]a^0 = 1[/tex] Therefore , the equation becomes ,[tex]\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}[/tex]
Hence the Solution of the given equation is ±√26.
Which of the following are the factors of the equation x 2 3x − 4 0?
(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.
What are the factors?A factor is a number that completely divides another number.
To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
So, we have the equation:
x²+ 3x - 4 = 0
By dividing the center term, this quadratic equation can be reduced to its simplest form.
The result of dividing the middle word is:
x² + 4x - x - 4 = 0
One way to spell it is as:
x (x + 4) - 1 (x + 4) = 0
Now, we obtain:
(x + 4) (x - 1) = 0
Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.
Know more about the factors here:
https://brainly.com/question/25829061
#SPJ4
Correct question:
Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?
(A) (x +4) (x - 1) = 0
(B) (x - 4) (x - 1) = 0
(C) (x - 4) (x +1)= 0
Math please help!!!!!!
Answer:
12?
Step-by-step explanation:
(ANYONE? PLS, HELP I NEED THE ANSWER RIGHT NOW!)
A rental store at the beach has 56 umbrellas and 24 surfboards. Which ratio describes the relationship of surfboards to umbrellas?
A: 56:24
B: 7:3
C: 3:8
D: 3:7
b because you are dividing
Answer: D (3:7)
Step-by-step explanation:
You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.
56/8 = 7
24/8 = 3
Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts
Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60.00 and had $155 left.
what fraction of money did mother spend on the bottle of perfume?
how much money did mother spend on the silver chain?
Step-by-step explanation:
215÷3=71
143÷6=23.9
71+23.9+60=154.9
Please help
What is the tangent
Answer:
D.) 12/5
Step-by-step explanation:
tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5
I NEED HELP PLEASE !!!!!
answer needs to be in simplest radical form
Answer:
Use the image as an example
Step-by-step explanation:
Use this image as an example to solve it may help.
Hopefully this helps:)
The area of a rectangular rug is (3x +9) square units. Factor (3x +39) to find possible dimensions of the rug.
Please help me with this question please!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
65 minutes
A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate?
An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
An ellipse is not a circle since all points of an ellipse are not equidistant to the center point
To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"
Learn more about the equation of a circle here:
brainly.com/question/1554214
#SPJ1
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
i am not 100% sure but i think it would be C
Cameron's scout leader organized a contest to see who could build the strongest boat out of aluminum foil. After building their boats, the scouts measured how many pennies the boats could support before sinking. This box plot shows the results.
Answer:
1/4
Step-by-step explanation:
In a box plot, each whisker represents
1
4
of the data. So,
1
4
of the boats could support 12 or more pennies.
The pennies can be added to the boat before it sinks is 10.
What is volume?Volume is a degree of occupied three-dimensional area. its miles are regularly quantified numerically with the use of SI-derived devices or with the aid of various imperial devices. The definition of the period is interrelated with the extent.
here, we have,
Density is the substance's mass according to a unit of volume. The image most customarily used for density is ρ, even though the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of the extent
Mass of aluminum boat = 16.5 gram
Volume = 425 cm³
Density = mass/ volume
= 16.5/425
= 0.039 gcm⁻³
The density of water and boat must be equal or more in order of sinks.
The density of water = 1 gcm⁻³
1 gcm⁻³ = mass × 0.039
mass = 1/ 0.039
mass = 25.64 g
A total of 25.64 grams of mass can be added.
mass of each penny = 2.5 g
Therefore the total number of pennies that can be added is = 25.64 /2.5
= 10.256
Taking the whole number = 10 pennies can be added o the boat before it sinks
Learn more about volume here:-
brainly.com/question/1972490
#SPJ3
A right cylinder has a radius of 12 units and a height of 15 units. What is the total surface area, in units squared?
Answer:
2034.72 units²
Step-by-step explanation:
Formula for surface area of a cylinder is:
2πrh + 2πr²
The radius is 12 and the height is 15, so we plug it in:
2π(12·15) + 2π(12)²
2π(12·15) + 2π(12)²=2034.72.
pleaseeeeee helpppppp i dont understand
Answer: C. 12
Step-by-step explanation: Hope this help :D
Help please radicals
Answer:
5√2
Step-by-step explanation:
Hello!
To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.
We know that 50 is 25 times 2, so we can expand the radical like this...
[tex]\sqrt{50[/tex][tex]\sqrt{25*2}[/tex][tex]\sqrt{25} * \sqrt2[/tex]Now we can simplify each radical:
[tex]\sqrt{25} * \sqrt2[/tex][tex]5\sqrt2[/tex]The simplified form is 5√2.
sandy had 10 dolls in her collection.for her birthday her parents quadrupled (multiplied by 4) how many dolls she had.then she decided to share the dolls equally with her brother.
Which numerical expressions show the total number of dolls Sandy has after sharing with her brother?
Answer:
4multiply by 10 lolllllllll
Answer:
20 each
Step-by-step explanation:
10 x 4 = 40 40 - 20 = 20
g(x)=\sqrt{x} -5
what is the range and domain
Answer:
Function Domain and Range
g(x)=\sqrt{x} -5
what is the range and domain
To find the range of g(x), we can substitute a few values of x into the expression for g(x) to see what the output is. For example, when x = 0, g(x) = sqrt(0) - 5 = 0 - 5 = -5. When x = 1, g(x) = sqrt(1) - 5 = 1 - 5 = -4. When x = 2, g(x) = sqrt(2) - 5 = 1.4142 - 5 = -3.5858.
As we can see, the output of g(x) is always a negative number for any value of x in the domain. Therefore, the range of g(x) is the set of all negative real numbers, or (-infinity, 0).
So, the domain of g(x) is all real numbers x such that x >= 0, and the range of g(x) is all negative real numbers (-infinity, 0).
Determine and state an equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12)
The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The line 5x-4y=10.
Simplifying,
y = (-5/4)x + 5/2
Comparing with the slope-intercept form,
y = mx + b,
where m is the slope and b is y-intercept.
The slope is = -5/4
The slope of the perpendicular line,
= negative reciprocal of the slope of the line where the line is perpendicular.
= 4/5
So, the line:
If a line passes through one point (x₁ ,y₁) and have slope m,
then the equation of line is
y - y₁ = m (x - x₁)
y - 12 = (4/5)(x-5)
y = 4x/5 + 8
Therefore, the equation of the line is y = 4x/5 + 8
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
Use the properties of logarithms to expand log (3^2xy) as much as possible.
Answer:
I have no idea
Step-by-step explanation:
Please look at image!
Answer:
8) 1/3, 0.33, 33 1/3%
9) 2/3, 0.67, 66 2/3%
Step-by-step explanation:
What is the value of -36 - (-40)
0-76
076
O 4
0-4
Answer:
4
Step-by-step explanation:
→ –36 – ( –40 )
Whenever there is sign of subtraction before the brackets, signs of the numbers inside the brackets get changed when we removed the brackets.( – ) × ( – ) = ( + )→ –36 + 40
→ 4
[tex] \therefore [/tex] 4 is the required answer.
Maddie received a new iPhone for Christmas. There is no activation fee to use Apple Music but there is a $4.99 per month charge. How many months would Maddie have been a member it she spent $34.93%
Answer:
7 months
Step-by-step explanation:
Spotify is better
Have a great day