Solve this equation
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Which are correct statements regarding proofs? Check all that apply. In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications. A paragraph proof is a two-column proof in sentence form. A two-column proof lists only the given information and what is to be proven. A flowchart proof includes a logical series of statements in boxes with connecting arrows.
Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm. What is the measurement of the third angle of the triangle? A) 16° B) 57° C) 139° D) 196°
Jada keeps 175 hair beads in a storage box. She chooses a bead without looking whatcolor it is, and returns it to the box. She does this severaltimes. Pink - 7 Green - 8 Red - 10 How many pink beads are in Jadas storage box
Which of the following conditions must be met if you want to use a z-procedure to construct a confidence interval for a population proportion? A) The sample size must be small. B) The population standard deviation must be known. C) The population must be normally distributed. D) The sample must be random and sufficiently large.
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In this question c squared is the diagonal you are trying to figure out.
A squared is any side of the triangle other than c squared, and b squared is the other side of the triangle. So a squared is 16 inches squared, and b squared is 12 inches squared.
To work this out, we square 16 to give 256.
Then 12 is squared - 144.
Then we square root 256 + 144, or the square root of 400.
The square root of 400 is 20, so the diagonal Luke cut was 20 inches long.
Final answer:
The length of the diagonal cut is calculated using the Pythagorean theorem. The sides of the paper form two sides of a right-angled triangle, and by squaring and adding these lengths, then taking the square root of the result, we find that the hypotenuse, or diagonal, is 20 inches long.
Explanation:
In mathematics, particularly in geometry, the Pythagorean theorem is the fundamental principle used to calculate the length of the hypotenuse in a right-angled triangle. In this question, the sheet of paper can be considered a rectangle and when it is cut from one corner to the opposite corner, it forms two right-angled triangles.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c²
Here, the length and width of the paper represent the two sides of the triangle, 16 inches and 12 inches respectively, and the diagonal cut (we'll call it 'd') is the hypotenuse. Thus, the equation becomes:
12² (which equals 144) + 16² (which equals 256) equals d²
Adding 144 and 256 gives 400, so d² = 400. To find 'd', we take the square root of 400, which is 20.
So, the length of the diagonal cut that Luke made is 20 inches.
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3.21
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y = 2x
y = x + 4
y = 12 - x
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x=3 and x=4.
Let's test first option:
for x= 3, we have y = (3) + 3 = 6, which matches (3, 6)
Now for x=4, we have y = (4) + 3 = 7 which doesn't match (4, 8).
Do the same for any other options.
You should get B, y = 2x.
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Answer:
B. 0.268
Step-by-step explanation:
if there are more than half boys then girls it as t be und .5 since that's half and .018 is to low
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The expected value of the payment is $5
What is Proportionality?
When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The rent for 5 DVDs for 5 nights is $5.
In order to find the rent for 1 night for 1 DVD, direct and indirect proportion method can be used as follows,
5 DVD for 5 night costs $5.
Then, 5 DVDs for 1 night costs 5 × 5 = $25.
And, 1 DVD for 1 night costs 25/5 = $5.
Hence, the cost of 1 DVD for 1 night is $5.
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