Answer:
Smallest possible length of the hypotenuse = 65
Step-by-step explanation:
Given - A right angle triangle has sides whose lengths are $2$-digit integers. The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.
To find - Determine the smallest possible length of the hypotenuse.
Proof -
The possible Pythagoras triplets of a right angled triangle with 2 digit integers are -
(11, 60, 61)
(12, 35, 34)
(13, 84, 85)
(16, 63, 65)
(20, 21, 29)
(28, 45, 53)
(33, 56, 65)
( 36, 77, 85)
(39, 80, 89)
(48, 55, 73)
(65, 72, 97)
But, Here Given that
The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.
So, There is only one possibility that satisfy the condition.
and that is, (33, 56, 65)
So, we get
Length of one side = 33
Length of second side = 56
Length of hypotenuse = 65
So,
Smallest possible length of the hypotenuse = 65
Please ASAP answer this question:)
Answer:
17 in
Step-by-step explanation:
H²= 8²+15²
H²= 64+225
H²=289
H= √289
H= 17
Answer:
17 in. (option C)
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Set the hypotenuse as x.
8² + 15² = x²
Simplify.
x² = 289
Remove the square from both sides.
x = √289 = 17
Thus, the answer is C, 17.
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
39kg 756g + 52kg 670g
Answer:
1517g or 1.517kg
Step-by-step explanation:
I think I’m right but I don’t know yet
Answer:
You are incorrect; the correct answer would be 306.324 first then 306.359 second then 316.011 last
Step-by-step explanation:
Find the volume..........
Answer:
Volume = 1,437.3 cm³
Step-by-step explanation:
Volume of rectangular pyramid = ⅓*a²*h
Where,
Base edge = a = 14 cm
Height = h = 22 cm
Plug in the values
Volume = ⅓*14²*22
Volume = 1,437.3 cm³ (nearest tenth)
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Answer: it is invalid
Step-by-step explanation: it is invalid because the data table has 30 out of 100 people stating that they prefer to view movies in theater. This does not have the same ratio as 300 out of 400, and would only work had he said 300 out of 1000. Thus, he is incorrect in his inference.
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
4) Find the value of k if (-2)k × (-2)3 = (-2)7
Answer:
k = 4
Step-by-step explanation:
(-2)k+1 × (-2)3 = (-2)7
-2k + -6 = -14
- 2k = -14 + 6
- 2k = - 8
k = -8 / -2
k = 4
HOPE IT HELPS ...
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Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answer:
24%
Step-by-step explanation:
trust me and get blessed
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
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Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
I NEED this answered right NOW please!!!!
Answer:
id k the answer options so i can t answer it
Step-by-step explanation:
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 9% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 9% of their original thickness. The results were as follows: Car Rear Front 1 40.6 32.5 2 35.4 27.1 3 46.6 35.6 4 47.3 35.6 5 38.7 30.3 6 51.2 41.1 7 50.6 40.7 8 45.9 34.3 9 47.2 36.5 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.5% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Use tables to find the critical value and round the answers to at least two decimal places. A 99.5% confident that the mean difference in lifetime between front and rear brake pads is
Answer:
CI =[- 4.588; 15.4]
Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
Step-by-step explanation:
The given data is
Car Rear Front d= rear- front
1 40.6 32.5 8.1
2 35.4 27.1 8.3
3 46.6 35.6 11
4 47.3 35.6 11.7
5 38.7 30.3 8.4
6 51.2 41.1 10.1
7 50.6 40.7 9.9
8 45.9 34.3 11.6
9 47.2 36.5 10.7
∑ = 89.8
Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 9-1= 8
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,8) = ±2.306
Sd= 7.05434553
d`=∑d/n= 89.8/9= 9.978
Therefore
t= d`/ sd/√n
t= 9.978/ 7.054/√9
t= 4.244
1) Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
2) the confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
9.978 ±2.306* 7.054/√9
- 4.588; 15.4
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Answer:
are you realy a tutor?
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Step-by-step explanation:
no not interested
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
Name ____________________________ Class________ Date ____________________________ Directions: Each diagram is formed by two parallel lines and a transversal. Find the value of . Use your answers to navigate through the maze. SHOW ALL STEPS! Show your work
Step-by-step explanation:
How are we supposed to help...?
Milton brings juice for a class party.
He brings 2 gallons of orange juice.
He brings 0.4 gallon of grape juice.
He brings 125 gallons of apple juice.
How many total gallons of juice did Milton bring to the party?
3 2/5
2 4/5
3 3/5
3 4/5
Answer:
You can sum these quantities to get the answer. ( 127.4 gallons)
Step-by-step explanation:
[tex]2 + 0.4 + 125 = 127.4[/tex]
I hope that is useful for you :)
Answer: 3 4/5
Step-by-step explanation:
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
It is likely that the car will have a navigation system. What could be the probability that it will have a navigation system?
(A) 1
(B) 0
(C) 1/8
(D) 2/3
Answer:
not sure but could be D
Step-by-step explanation:
since most cars nowdays do have them the probability of it having navigation could be 66.6% which is 2/3 x 100
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
Lola had $235.00 in her savings account. Three months later, Lola had
$136.30 in her account. What was the percent decrease of Lola's savings
account?
Answer: decreased by 42%
Step-by-step explanation:
I don’t know what I’m doing
Answer:
lol
Step-by-step explanation:
You download a video game on your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free write an inequality that describes the number of levels, l, you can play in 60 minutes
for me i think and calculated 9 levels
2. A 16 foot ladder is leaning against a house. The ladder's angle of elevation is 47 degrees. How
far above the ground is the top of the ladder?
Solve for x.
8x + 13
12x +7>>
Answer:
Solution given:
8x+13+12x+7=180°[exterior angle's sum is supplementary]
20x=180°-20
x=160°/20°
x=8° is your answer.
4n/5=84/15
i cannot figure out this math problem for my homework!
What number will make the equation true?
0.35+65/100=?/100+65/100
Answer:
The Answer Is 35Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.
The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.
The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.
Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?
A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x
The expression that represents how many more cards Pat has in her collection than Quentin has in his collection is B. (p − q)(x) = 6 + 4x
What is a expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Pat's collection is represented as p(x) = 34 + 16x.
Quentin's collection is represented as q(x) = 28 + 12x.
The difference will now be:
= 34 + 16x - (28 + 12x)
= 34 + 16x - 28 - 12x
= 6 + 4x
Therefore, the correct option is B.
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