The length of hypotenuse = 5.2 centimeters.
What is right angle and Pythagorean theorem?The triangle that has at least one angle 90 degrees is called right angle triangle. The largest side length of a right triangle is termed as hypotenuse.
The Pythagorean theorem is applicable for right-angled triangle. The theorem stated that the square of hypotenuse is equal to the sum of the square of the remaining two side lengths. If a right-angled triangle has hypotenuse H and other two side length b and o respectively, then H² = b² + o².
What is the length of hypotenuse in this right-angled triangle?Assume this right-angled triangle is named as ABC, AC is the hypotenuse and AB and BC is the other sides.
As AB = 2 cm and BC = 4.8 cm
then according to the Pythagorean theorem AC² = AB²+ BC²
AC²= 2² + 4.8²
Hypotenuse AC = 5.2 centimeter.
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The first term of an Ap are x, 2x +1, and 5x+1 Find
x and the sum of the
l0 terms
first
Answer:
145/2
Step-by-step explanation:
d=[2x+1-x] = [5x+1 -(2x+1)]
x+1=3x
x-3x=-1
-2x=-1
x=1/2
therefore first term is 1/2
second term is 2(1/2)+1= 2
common difference d is 2-1/2=3/2
sum of first n terms is n/2 [2a+(n-1)d] where n=10
sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]
=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2
Un jugador encesta con probabilidad de 0.73 Calcula la probabilidad de que al tirar 6 veces enceste:
a) al menos 4 veces
b) ninguna vez
c)todas las beces
d)dos veces
e) menos de tres veces
f) 5 o mas veces
Factor out the GCF from the terms of the polynomial 2x^3 − 5x^2 + 25.
Answer:
Step-by-step explanation:
The polynomial is already factored.
twice the square root of a number is 12
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?
Answer:
4 different odd integers: 25, 45, 55, 85
Step-by-step explanation:
600% of what number is 5,580
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
(05.07 MC)
The net of a square pyramid is shown below
3 inches
2 inches
3 inches
2 inches
What is the surface area of the solid?
16 square inches
24 square inches
28 square inches
Previous Question
Question 1 (Answered)
Answer:
16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Do
10 cm
10 cm
20 cm
form an triangle?
Answer:
No it is unable to form a triangle.
Step-by-step explanation:
It cannot be because one side is two times the other side, and there are two of the "other sides". It cannot form a triangle.
Answer:
Step-by-step explanation:
The earth travels 1,050 miles per hour.
At this rate, how many miles does the earth travel per day?
Plz Help God will Bless You!!
The earth travels 1,050 miles in an hour.
There are 24 hours in a day.
So multiply 1,050 by 24.
And you get 25,200.
The earth travels 25,200 miles in a day.
find the perimeter and area of the rectangle with vertices (1, -2), (1, 7), (-3, 7), and (-3, -2)
Answer:
26
Step-by-step explanation:
9+4+9+4=26
A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Name all digits that can be the last digit of prime numbers.
Answer:
1,2,3,5,7,9
Step-by-step explanation:
I started by seeing all the digits (0-9) which are prime numbers.
P-250 ft
Find the dimensions of the rectangle
The perimeter is given.
W
3w- 15
Answer:
A = L × W A = L × W A=L×W.
A = L × W A = L × W A=L×W.
P = 2 L + 2 W P = 2L + 2W P=2L+2W.
Negative nine is greater than or equal to the sum of two - fifths times a number and 9.
Answer:
W is either -22.5, or less than -22.5
Step-by-step explanation:
-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)
W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.
2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5
W can then be anything "lower" (on the left side) of -22.5.
W<-22.5
5,3,1,-1, common difference or common ratio
Answer:
Common
Step-by-step explanation:
Is the set of the following numbers ordered from greatest to least or least to greatest
Answer: Your answer should be least to greatest I believe
A bucket contains 13 & 1/3 gallons of water and is 5/6 full. How many gallons of water would be in a full bucket?
Answer:
16
Step-by-step explanation:
Answer:
17 2+2+2+2+2+2+2+2+1
Step-by-step explanation:
the bucket contains 13 and 6
Can someone explain to me how to do this problem?
x • 1 + x/1 =
Using the Distributive Property, rewrite 2x + 16 as a product of two factors. *
1. 2x + 8
2. 2(16x)
3. 2(x + 8)
4. 2(x + 16)
This is the question I need the answer in 24 house or less please and thank u
Answer:
Vertex: (–9, 1)
Axis of Symmetry: x = –9
Step-by-step explanation:
x = 9 is the lowest point on the graph. This makes it the x-coordinate of the vertex and the axis of symmetry. Now count how many squares above the x-axis it is. It's 1 square above, right? This means the vertex is (–9, 1).
Hope this helps you. Have a great day!
The solution set in interval notation is ??
Answer:
Step-by-step explanation:
8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None
do not count the
individual
oranges.
count them as
groups.
Answer:
A. 5
B. 100
C. 300
Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.
Answer:
.62
Step-by-step explanation:
Keep it nice and simple.
Answer:
.62
Step-by-step explanation:
A playground is 45 feet wide
convert the wind to yards
A submarine is 84 feet below the surface of the water and descends 10 feet
deeper every minute. How many minutes will it take for the submarine to be
located 219 feet below the surface? Write and solve an equation,
Answer:
13.5
Step-by-step explanation:
219-84=135
10*13.5=135
so it would take 13.5 minutes to get to 219 since 84+135=219
You enter an elevator and go down 7 floors you exit on the 10th floor. Write an equation you can use to find the floor where you entered the elevator
Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1
show that x²/√x²+4 is continuous at x=2
Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous