Answer:
Option C is the correct choice.
Step-by-step explanation:
We have been given a graph and we are asked to find the correct option which represents the inequality for the situation of one must be at least 52 inches tall to ride the water ride.
At least 52 inches means one should not be less than 52 inches. This means the length of one should be 52 inches or any number greater than 52 inches.
Let us see our given inequalities one by one.
A) Our first inequality represents height less than or equal to 52, which means that one should be at-most 52 inches, therefore, 1st inequality is not true for our given situation.
B) Our 2nd inequality represents height less than 52, therefore, 2nd inequality is not true for our given situation.
C) We can see from our inequality represented in option C that height is greater than or equal to 52 inches. It is including 52 (at least) and greater heights than 52, therefore, option C is the correct choice.
D) Option D shows an inequality that represents heights greater than 52 as it is not including 52, therefore, option D in not a correct choice.
Xavier is designing a display for a bulletin board that is 3.5 feet wide. he wants to place a 14-inch-wide poster in the center of the bulletin board. how many inches of space remain on either side of the poster?
Value of y???????pls help
A line has a slope of 2 and passes through the point (4,0)
What are the coordinates of another point that is on the line?
A. (0,2)
B.(2,0)
C.(4,6)
D.(6,4)
Solve the subtraction problem 8/9 -3/4
What is the capacity of the cube in liters? Cube with length, width, and height labeled as 9 centimeters. 0.81 L 0.729 L 81 L 729 L
The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.
A. 30
B. √ 15
C. 15
D. √ 30
If the number 659983 is rounded to the nearest hundred how many zeros does the rounded number have
1250 is deposited in an account that pays 6.5% annual interst compounded continuosly. what is the balance after 8years?
Answer:2102.53
Step-by-step explanation:
1250e(0.065)8
BRAINLIEST TO BEST ANSWER!!!!
The table shows a linear function. Write an equation that represents the function using function notation.
PLEASE HELP!!!!!!!!
Whats the value of m?
0.61m-1.51m=9
m=
Please help me thank you very much.
CAN YOU PLEASE SOLVE THESE PROBLEMS!!! THANKS!!!!!
1) -3/4x=5
2) 0.6x= 0.48
3) -30=1.25x
4) -12 2/3= -1 1/9x
5) 12-3/5x = 27.
6) -17= 6x-5
7) 13= x/3 +4
8) -2/3x -4=10
9) 9x-14=2x
10) 2.5x -15=4x
11) 2x-31=-9x+24
You want to buy a new TV. The diagonal measure of the screen is 42 inches, and the screen width is 36.6 inches. What is the screen height? Round your answer to the nearest hundredth.
A cold front moved in last weekend. In 8 hours overnight the temperature outside dropped 24 degrees. What was the average temperature change for each hour?
C write function distance that calculates the distance between two points (x1, y1) and (x2, y2). all numbers and return values should be of type double.
CAN SOMEONE HELP ASAP!! Please!
Given ONL=MLN, O and M are right angles prove LM=NO
Using the properties of Isosceles triangles and right-angled triangles, it can be deduced that LM = NO given that angles ONL = MLN and O and M are right angles.
Explanation:The given question is about proving equivalency of lines in a geometric figure. Given the figure has the angles ONL and MLN that are equal and O and M are right angles. Given these conditions, using the properties of triangles especially the Isosceles Triangle (where two sides are equal), we can conclude that LM = NO.
To prove this assumption, we incorporate the following facts: In an isosceles triangle, the angles opposite to equal sides are equal. Hence, if ONL = MLN, it implies that NO = LM. Additionally, if angles O and M are right angles, it signifies that the triangles formed are right angled triangles. Therefore, using the property of isosceles right angled triangles, the sides opposite to equal angles are equal.
Based on these facts and the properties of geometric concepts [Isosceles Triangle, Pythagorean theorem and right angled triangles], we can confidently conclude that LM = NO. This proves that given the conditions in the problem, the lines LM and NO are equal in length.
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Given that ONL=MLN and O and M are right angles, we can say that triangles ONL and MLN are congruent right-angled triangles. Therefore, according to the property of congruent triangles, the sides opposite the equal angles in these triangles (i.e., LM and NO) should also be equal to each other.
Explanation:The question involves proving the equivalence of two lines in a geometric configuration, LM and NO, where two angles, ONL and MLN, are given as equal and O and M are right angles. This is quite a typical problem in Geometric Proof, an important topic in High School Mathematics.
To solve this, we need to apply the properties of triangles and the concept of congruent triangles. Since ONL and MLN are given as equal angles and O and M are right angles, we know that triangle ONL and MLN are right-angled triangles. In a right-angled triangle, if one angle is equal, then the other angles will be equal because the summing of angles in a triangle is 180 degrees.
Because we have now two right-angled triangles with their respective angles equal (ONL = MLN and NOM = LNM), they must be congruent triangles by the Angle-Angle (AA) criterion for congruency. This implies that the sides opposite the equal angles in these two triangles should also be equal. So, LM = NO in these triangles.
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In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
b/a⋅c/d=−1
b/a=c/d
b/a=d/c
b/a⋅d/c=−1
A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each. How many ways can a student complete the quiz?
a.36
b.162
c.108
d.18
A secrete code consist of 2 digits, followed by 2 letters, followed by 1 of the following symbols @,#,%, and &. Digits and letters cannot repeat.
a.243,360
b.260,000
c.234,000
d.270,400
How many distinct arrangements can you make using the letters in the word EXPERIMENT?
a.1,209,600
b.3,628,800
c.725,760
d.604,800
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
a.330
b.720
c.7920
d.1980
There are 5 keys on a key chain. 1 of the keys start a car. A random key is chosen. What is the probability that it starts the car?
a.25%
b.5%
c.20%
d.15%
The probability of choosing a winning card from a stack of cards is 2.9%. What is the probability of choosing the losing card
a.87.1%
b.92.9%
c.99.71%
d.97.1%
Final answer:
Calculating possibilities ranges from completing a quiz to creating secret codes, with correct answers including 108 ways to complete a quiz and 234,000 combinations for a secret code. The arrangement of the word EXPERIMENT yields 1,209,600 unique arrangements, and other questions involve calculating probabilities and combinations in different scenarios.
Explanation:
Calculating Various Probabilities and Combinations
Let's break down each part of the question to provide clear and step-by-step solutions.
1. Completing a Quiz
For the quiz with 2 true-or-false questions and 3 multiple-choice questions (each with 3 options), the number of ways to complete the quiz can be calculated as 22 * 33, which equals 4 * 27 = 108. So, the correct answer is 108 ways.
2. Creating a Secret Code
For a secret code consisting of 2 digits (10 options each, but cannot repeat, so 10*9), 2 letters (26 options each, but cannot repeat, so 26*25), followed by 1 symbol from 4 options, the total number of combinations is 10*9*26*25*4 = 234,000. Thus, the correct choice is 234,000 combinations.
3. Arrangements of the Word EXPERIMENT
To find the number of distinct arrangements of the letters in EXPERIMENT, considering the repeated letters, the formula is the total factorial divided by the product of factorials of each repeated letter: 10!/ (2! * 3!), which calculates to 1,209,600. Therefore, option a is correct.
4. Sending Students to a Summer Dance Program
To determine how many ways a dance instructor can send 4 of her 11 students to a summer dance program, we use combinations: 11C4 = 330. So, the answer is 330 ways, option a.
5. Probability of Starting a Car
With 5 keys, the probability that a randomly chosen key starts the car is 1/5, which translates to 20%, option c.
6. Probability of Choosing a Losing Card
If the winning probability is 2.9%, the losing probability is 100% - 2.9% = 97.1%, thus the correct answer is option d.
What is the probability of finishing a project on or before 22 weeks if the mean (expected) total duration is 18 weeks and the variance is 4 weeks?
What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2? y+8=2(x-6) openstudy?
Answer+explanation plz and thank you! :) these are quadratic equations.
What are the x-intercepts of the graph of the function f(x)=x2-16x+64
To find the x-intercepts of the function f(x) = x^2 - 16x + 64, we set f(x) to zero and solve for x. The quadratic factors to (x - 8)^2 = 0, revealing that the graph has a single x-intercept at x = 8.
Explanation:To determine the x-intercepts of the graph of the function f(x) = x^2 - 16x + 64, we need to find the values of x for which f(x) equals zero. This involves solving the quadratic equation, x^2 - 16x + 64 = 0.
One approach is to factor this equation if possible. Another approach is to use the quadratic formula.
The given quadratic equation can be factored as (x - 8)^2 = 0.
Therefore, the only solution to this equation is x = 8, which means the graph of the function touches the x-axis at this point and has a vertex at (8, 0), making the x-intercept of the graph equal to 8.
The factored form indicates that the function has a double root at x = 8, which means the parabola touches and then bounces off the x-axis at this point.
Thus, rather than crossing the x-axis at two distinct points, the parabola has a single x-intercept at x = 8. This is often referred to as a repeated or double root because the solution appears twice when the quadratic is factored.
Use the given property to complete the statement. Transitive Property of Congruence If Angle X Y Z is congruent to angle A O B and Angle A O B is congruent to angle W Y T, then A. Angle W Y T is congruent to angle A O B B. Angle A O B is congruent to angle A O B C. Angle X Y Z is congruent to angle W Y T D. Angle A O B is congruent to angle X Y Z
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is C, ∠XYZ ≅ ∠WYT.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Given that Angle XYZ is congruent to angle AOB, therefore, we can write,
∠XYZ ≅ ∠AOB
Also, it is mentioned that Angle AOB is congruent to angle WYT, Therefore, we can write,
∠AOB ≅ ∠WYT
Now, we can write the two congruency together as,
∠XYZ ≅ ∠AOB ≅ ∠WYT
∠XYZ ≅ ∠WYT
Hence, the correct option is C, ∠XYZ ≅ ∠WYT.
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How do i do this problem?
(13z^9+6v)-11z^9
find the quotient -22s^4t-8st/2st
The product of two prime numbers is one less than 12 squared. What are they two prime numbers?
The number 0.4 can written as 4/10, so it is a rational number
In folding to make a 6-sided snowflake, what shape do you have after completing the first 5 steps?
a.
right triangle
c.
rectangle
b.
square
d.
circle
Three friends have some ribbon.carol has 42 inches of ribbon,tino has 2.5 feet of ribbon,and baxter has 1.5 yards of ribbon.express the total length of ribbon the three friends have in inches,feet and yards