The third side of a triangle can be calculated using the Pythagorean Theorem.
This theorem states that in a right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse. The hypotenuse is the longest side of the triangle and is opposite the right angle.
Formula:
[tex]a^2 + b^2 = c^2[/tex]
Determine the two side lengths of the triangle
Calculate the sum of the squares of the two side lengths.
Calculate the square root of the sum of the squares of the two side lengths. This is the length of the third side (the hypotenuse).
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ4
What is the best explanation of irrational numbers?
The best explanation of Irrational Numbers is that , the numbers that cannot be expressed as a ratio of integers are called as Irrational Numbers .
What are Irrational Numbers ?
The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.
For Example : [tex]\pi[/tex] is an irrational number as [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.
Some Property of Irrational Numbers are :
(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.
(ii) The Irrational Numbers are real numbers only.
(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.
Learn more about Irrational Numbers here
https://brainly.com/question/4031928
#SPJ4
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
To know more about radius visit:
https://brainly.com/question/28946570
#SPJ4
Convert 723.8 mm to cm.
Answer:
72.38
Step-by-step explanation:
When converting from mm to cm divide the length value by 10
Type answer here.
Mollie is playing a game where she is
throwing darts at a wall filled with shapes.
Her current results are circle 7, square 4,
triangle 7, and pentagon 3. Which of the
followings statements is true?
A She is more likely to hit a square
than a triangle
B She is less likely to hit a circle than
a square.
C She is just as likely to hit a
triangle as a circle.
D She is certain to hit a circle.
6
Taking into account, the number of successful throws into different shapes, Mollie is just as likely to hit a triangle as a circle. i.e option C.
What is probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Since, the number of throws of darts by Mollie is same for both the circle and triangle, there is equal likelyhood to hit the triangle as a circle. Which is the required true statement.
To learn more about probability visit:
https://brainly.com/question/30034780
#SPJ4
Mason has 2 1/2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses 1/8cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
Help
Answer:
Mason can make 20 sandwiches.
Step-by-step explanation:
2 1/2 ÷ 1/8 = 20Tricia has $37.25 in her account. Which amount will she have left after she writes 3 checks for $8.33 each?
If 27³+27³+27³=27x,what is the value of x?
Answer:
x = 2,187
Step-by-step explanation:
27×27×27+27×27×27+27×27×27 =27x
19,683+19,683+19,683 =27x
59,049 = 27x
divide both sides by the coefficient of x ( 27 )
59,049 / 27 = 27x / 27
x = 2,187
Audrey has x pounds of red grapes and y pounds of green grapes. she has less than 5 pounds of grapes in all. which are reasonable solutions for this situation? check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)
The reasonable solutions for this situation is (1, 3.5) and (2, 2)
What is Graph?A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.
Audrey has x pounds of red grapes and y pounds of green grapes.
She has less than 5 pounds of grapes in all, hence:
x + y < 5
Also, x ≥ 0, y ≥ 0
a) The option (–1, 2) is wrong because x = -1 < 0
b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5
c) The option (2, 2) is correct because 2 + 2 = 4 < 5
d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.
e) The option (5, 0) is wrong because 5 + 0 is not less than 5
To learn more about Graphs visit:
https://brainly.com/question/17267403
#SPJ4
Jackson picked apples for his family. He picked a total of 6 pounds. He took 2
3
4
pounds to his aunt and 1
7
8
pounds to his mother. How many pounds of apples were left to give to his grandmother? Use the numbers and symbols to write an equation that represents the problem, then solve the equation. Symbols may be used more than once or not at all.
2
3
4
1
7
8
6 y + =
PLEASE HELPPPPPPPP
"17/8" pounds of apples were left to give to his grandmother.
Since we have given that
The quantity of apples he picked is given by 6.1/2⇒13/2 pounds.
The quantity of apples he picked for his aunt is given by 2.3/4⇒11/4 pounds.
The quantity of apples he picked for his mother is given by 1.5/8⇒13/8 pounds.
So, the total quantity left for his grandmother is given by
first we have to add the quality of apples he picked for his aunt and the number of apples he picked for his mother.
After subtracting from what he picked.
⇒13/2-(11/4+13/8)
⇒13/2-(22+13/8)
⇒13/2-(35/8)
⇒52-35/8
⇒17/8
Hence, 17/8 pounds are left for his grandmother.
To know more about basic maths:
https://brainly.com/question/4721701
#SPJ4
Man on cliff observes a boat at angle of depression of 30 which is approaching the shore at uniform speed. 6 minutes later, the angle of depression of boat is 60. Find time taken by boat to reach shore?
Answer:
Step-by-step explanation:
Let the speed be x km/h
Let the time be t
In △ADC,
tan30°=
h
xt
3
1
=
h
xt
h= xt
In △ABD,
tan60°=
h
x(6+t)
h=
x(t+6)
3
xt=
x(t+6)
3t=6+t
t=3 seconds
∴ total time taken=6+3=9 seconds
I need help with this please
Answer:
pls give me the brainliest
the answer is in the attached document
Answer:
1 13/15
You need to turn the mixed number into an improper fraction to multiply.
A utility pole is 5 ft high. A 8 ft cable is stretched from the top of the pole to a stake in the ground. How far is the stake from the pole?
The distance between the stake from the pole is 6.25 ft.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that a utility pole is 5 ft high. An 8 ft cable is stretched from the top of the pole to a stake in the ground.
The distance will be calculated as,
B² = H² - P²
B = √(8² - 6²)
B = √ ( 64 - 36 )
B = √39
B = 6.25 ft
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ1
(5 points) 2. The coordinates of the vertices of ARST are R(1, 6), S(5, 3), and T(3,-2). Triangle R'S'T' is the image of ARST after a reflection in x = -1. Graph and state the coordinates of the vertices of AR'S'T'.
The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each otherGiven are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).
The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -
R' (1, -6)
S' (5, -3)
T' (3, 2)
The graph is attached.
Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
To solve more questions on graph reflections, visit the link below -
brainly.com/question/7835414
#SPJ1
Can u please help me with this question.
Answer:
you can use compass to make straight line
A 5/44 lottery requires choosing five of the numbers 1 through 44. How many different lottery tickets can you choose
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:
[tex]nCr = n / (r(n-r))[/tex]
where n is the total number of options (43) and r is the number of choices (5).
so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]
Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
To know more about probability visit:
brainly.com/question/11234923
#SPJ4
Write and solve an equation to find the value of x.
Answer:
x = 60°
Step-by-step explanation:
opposite angle = congruentso
120 = 2x
x = 120 : 2
x = 60
check
120 = 2 x 60
120 = 120
the answer is goodWhat is the formula to find the side?
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
To know more on find the side problem
https://brainly.com/question/24386442
#SPJ4
. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)
mean of the sampling distribution of the difference in sample proportions is 0.36.
Which approach is most likely to result in a random sample of your class's members?The best method for the random sampling will be to write the students' names on paper and pick them out of a hat, as each student will have an equal chance of being chosen.
22% of the population of eastern grey squirrels weigh more than 0.5 kg.
36% of the population of western grey squirrels weigh more than 0.5 kg.
Eastern grey squirrel sample size is 60.
There were 120 western grey squirrels in the sample.
Required:
The difference in sample proportions' mean of the sampling distribution (eastern minus western)
The difference of the mean yields the mean of the difference.
Mean = p1 - p2 is the sampling distribution's average for the difference in the sampling proportion from two populations.
Where;
p1 = 22% of the eastern grey squirrel, which equals 0.22.
p2 = 36% of the western grey squirrel, which equals 0.36.
Therefore;
p1 - p2 = 0.22 - 0.36 is the mean.
The right answer is (E) 0.22 - 0.36.
To know more about proportions visit:-
brainly.com/question/29774220
#SPJ4
What is the Pythagorean triplet of 12 and 16?
"20" is the Pythagorean triplet of 12 and 16.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
The simplest Pythagorean triple is the set “3,4,5.”
Now, substitute the values in the above equation:
=) x² = 12² + 16²
=) x² = 144 + 256
=) x² = 400
=) x = √(400)
=) x = 20.
Therefore, (12,16,20) is a Pythagorean triplet.
To know more about the Pythagorean triplet:
https://brainly.com/question/16036846
#SPJ4
What are the 4 types of symbols?
Answer:
+ - × ÷
Step-by-step explanation:
addition, subtraction, multiplication and division
Decrease 520 by 60%.
Answer:
208
Step-by-step explanation:
60 percent of 520 is 312
520 subtract 312 is 208
Answer:
208
Step-by-step explanation:
(520)-60% of 520
(520)-3×104
520-312
=208
Hope it helps you
PLS RATE AS BRAINLIEST ANSWER
Find the number of the degree of this polynomial.(please)
Answer:
2 is the highest degree because it's the only exponent
WHAT IS THE OPPSIT OF 0
Answer:
0
Step-by-step explanation:
The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.
How to tell if a number is rational or irrational calculator?
We can tell if a number is rational or irrational by Venn Diagram
Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.
All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ4
Expand.
This question is worth 50 points!
Answer:
the answer is (a) x² - 2hx + h²
Step-by-step explanation:
(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)
x² - hx -hx + h²
= x² - 2hx + h²
Answer:
A) x² - 2hx + h²-----------------------------
Use the identity:
(a - b)² = a² - 2ab + b²Substitute a = x, b = h to get:
(x - h)² = x² - 2hx + h²This is the option A.
28 = 4/5x - 8 what value of x makes the equation true?
Answer:
1.6285
Step-by-step explanation:
28 = 4/5x-8
Cross multiply
140x-224=4
140x =224+4
140x = 228
x = 228/140
x = 1.6285
Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers
Answer:
737
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2
b.we konw (A+2-A)×4-1=A+1, so A=6
therefore, the three Integer are 6, 7, 8.
please help me with this!!
Answer: The answer is no, they are not proportional
Step-by-step explanation:
Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05
For which values of x does each expression make sense? square root of x-2 over square root of x-3
the answer is x>3
this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers
The product of 15 and a number has a result in 15 what is the number
1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.