Answer:
85 ft
Step-by-step explanation:
for all right triangles, triangles with a 90 degree angle, the sides are equal to \(a^{2} + b^{2} = c^{2}\) where c is the hypotenuse, or the longest side.
so... \(40^{2} + 75^{2} = c^{2}\)
\(7225 = c^{2}\)
c= 85
The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 24?
The percentage of the data values are greater than 24 is 75%.
What is a box-and-whisker plot?A box and whisker plot is a special type of graph that is used to show groups of number data and how they are spread. It shows the median, which is the middle value of the numbers in your data, the lowest number, the highest number and the quartiles, which divides the data into four equal groups.
So as per the given question box-whisker plot represents some data set. There is a number 24 just corresponding to it there is a vertical line which shows that 24 is the first quartile of the data and here 24 is the 75th percentile.
It means that there is 75% values are greater than 24.
Therefore, the percentage of the data values are greater than 24 is 75%.
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Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?
Answer:
350 pounds
Step-by-step explanation:
Assuming three of the turtles are Pinta Island Tortoise, then:
3 turtles -- 1050
1 turtle -- 1050/3 = 350
Thenks and mark me brainliest :))
Answer:
the answer is 350
Step-by-step explanation:
1050 divided by 3 equals 350!!! hope this helps
The mean number of goals a football team scores per match in
the first 9 matches of a competition is 5.
a) How many goals does the team score in total in the first 9
matches of the competition?
b) If the team scores 2 goals in their next match, what would their
mean number of goals after 10 matches be?
The team scores 45 goals in total in the first 9 matches of the competition and the mean number of goals after 10 matches would be 5.2
If the mean number of goals scored per match is 5, then the total number of goals scored in 9 matches is:
Total goals = mean × number of matches
Total goals = 5 × 9
Total goals = 45
Therefore, the team scores 45 goals in total in the first 9 matches of the competition.
b) After 10 matches, the total number of goals scored by the team would be:
Total goals = mean × number of matches
Total goals = 5×10
Total goals = 50
If the team scores 2 goals in their next match, then the total number of goals scored by the team would be:
Total goals = 50 + 2
Total goals = 52
Therefore, the mean number of goals after 10 matches would be:
Mean = Total goals / number of matches
Mean = 52 / 10
Mean = 5.2
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Solve each system.
[x-3 y =-1 -6 x+19 y =6 ]
The system of equations [x - 3y = -1 and -6x + 19y = 6] can be solved, resulting in x = -1 and y = 0.
To solve the system of equations [x - 3y = -1 and -6x + 19y = 6], we can use the method of substitution or elimination.
Let's solve it using the method of elimination.
First, we can multiply the first equation by 6 and the second equation by -1 to eliminate the x terms.
This gives us [6x - 18y = -6 and 6x - 19y = -6].
Now, subtracting the first equation from the second eliminates the x terms, leaving us with -y = 0. Solving for y, we find y = 0.
Substituting this value back into the first equation, we get x - 3(0) = -1, which simplifies to x = -1.
Therefore, the solution to the system of equations is x = -1 and y = 0.
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Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?
a. 20%
b. 13%
c. 70%
d. 60%
Answer:
for me its b.
Step-by-step explanation:
because its up to 5% to 12%
D 3b. Triangle A has an area of 30cm² and a height of 5. What is the base?
The base of triangle will be 12 cm.
WHAT IS TRIANGLE ? HOW TO FIND ITS AREA ?A triangle is a three-sided polygon.
The area of a rectangle is commonly known to be b*h, where b is the base and h is the height. Using the formula for a rectangle, we can get the area of a triangle.
A rectangle is split into two congruent triangles by a diagonal. The area of each triangle is equal to half the size of the rectangle.
As a result, the triangle's area A may be calculated using the equation A=1/2*b*h, where b denotes the triangle's base and h its height.
CALCULATIONAREA OF TRIANGLE = 1/2*b*h
base = area of triangle * 2 / h
= 30 * 2 / 5
= 12 cm.
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Jamel is making lasagna. He has 14 cups of cheese. Each pan of lasagna requires 1 3/4 cups of cheese. How many pans of lasagna can Jamel make?
Answer:
he can make 8 pans of lasagna
Step-by-step explanation:
14÷1 3/4=8
6. Find the dimensions of the bathroom in terms of x. (Hint: the west and east
side of the house should be equal.) Show your work
a. West side of bathroom lo obie rinon on to riprel orit bise miedos tuy
b. East side of bathroom
The dimensions of the bathroom in terms of x are 5x - 4 by 3x + 1
How to find the dimensions of the bathroom in terms of xFrom the question, we have the following parameters that can be used in our computation:
The figure
The bathroom is located at the bottom left of the figure, where we have
Width = 5x - 4
For the length, we have
Length = 6x + 4 + 2x + 1 - 5x - 4
Evaluate the like terms
Length = 3x + 1
So, we have
West side = 5x - 4
East side = 3x + 1
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Help me on this question pls
Answer:
d. x = 14; angle measurement is 28 degrees
Step-by-step explanation:
2x is equivalent 28 so divide 28 by 2 to get 14
What is the range of this data set? {10, 4, 1, 7, 4, 6, 5, 9} 1 4 9 10
Answer:
7 and 4
Step-by-step explanation:
i think
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. tan(A) = 5/12 , b = 2
I have to find a=?
I have to find c=?
The length of side a is 10/3, and the length of the hypotenuse c is 2√(34)/3.
What are the lengths of the missing sides?To find the length of side a, we can use the tangent of angle A. The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, tan(A) = 5/12, which means that the length of side a is 5/12 times the length of the adjacent side. Since we know that side b is 2, we can calculate a = \((5/12) * 2 = 10/3\).
To find the length of the hypotenuse c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we know that side b is 2 and side a is 10/3. Let's denote the length of c as x. Applying the Pythagorean theorem, we have \((10/3)^2 + 2^2 = x^2\). Simplifying this equation, we get \(100/9 + 4 = x^2\). Combining the terms, we have 100/9 + 36/9 = \(x^2\), which gives us \(136/9 = x^2\). Taking the square root of both sides, we have \(x = \sqrt{(136/9)} = \sqrt{(136)/} \sqrt{(9)} = \sqrt{(136)/3} = 2\sqrt{(34)/3}\).
Therefore, the lengths of the missing sides are a = 10/3 and c = \(2 \sqrt{(34)/3}\).
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Kara has six cousins of the following ages: 6, 10, 12, 12, 15, 27.
What is the median age of her cousins?
Answer:
13.6
Step-by-step explanation:
add 6, 10, 12, 12, 15, and 27
you should get 82
now divide how many number you put for instance I put in 6 numbers so I divide by 6
82/6
answer: 13.6 years of age
Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. Shannon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?
Which equation below correctly represents the situation above?
A.
3m - 9 = 2m + 11
B.
3m - 11 = 2m + 9
C.
3m + 2m + 11 = 9
D.
4 × 11 + 2 × 9 = m
Answer:
B.
3m - 11 = 2m + 9
Amount Maddie earns = m = $20
Step-by-step explanation:
Let
Amount Maddie earns = m
Amount Lauren earns = 3m - 11
Amount Shannon earns = 2m + 9
If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?
Amount Lauren earns = Amount Shannon earns
3m - 11 = 2m + 9
Collect like terms
3m - 2m = 9 + 11
m = 20
Amount Maddie earns = m = $20
B.
3m - 11 = 2m + 9
what is the slope of the line thats models this situation ?
Answer:
-5
Step-by-step explanation:
Answer:
-5 is the answer
Step-by-step explanation:
-5 is the answer
What was its average speed in miles per hour if a plane flew 1898.4 miles
in 5.6 hours?
A cell phone company charges $42 per month of service. The cost of a new
cell phone, plus 8 months of service, is $415.99. How much does it cost to
buy a new cell phone and 3 months of service?
Answer:
$1247.97
Step-by-step explanation:
$42 per month of service
new phone monthly service is $415.99
415.99 x 3 = 1247.97
Within a video game, there are rounds that the 5 players play. Within each of the rounds, one of the players will win. The game ends once one of the players reaches 5 total wins.
Given that the rounds are won by random chance, what is be the average amount of rounds needed to play in order for the game to conclude?
Sorry if the question is a little loaded. If you have any questions about the wording, I can elaborate in the comment thingy.
what is the answer to this
3a+2b-a-3b
Answer:
Step-by-step explanation:2a-b
Answer:
2a-b
Step-by-step explanation:
We can start by grouping our A's and B's, while making sure to keep their individual signs.
For our A's, we get 3a-a and for our B's, we get 2b-3b.
When we simplify our A's, we get 2a and when we simplify our B's, we get -b.
After grouping them back together, you end up with 2a-b.
Find all three angles of the triangle x-5 x+10 x-35
Answer:
See below ~
Step-by-step explanation:
Given : 3 angles of a Δ
(x + 5)°(x + 10)°(x + 15)°Solving :
According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°x + 5 + x + 10 + x + 15 = 1803x + 30 = 180x + 10 = 60x = 50Finding the angles
x + 5 = 50 + 5 = 55°x + 10 = 50 + 10 = 60°x + 15 = 50 + 15 = 65°I WILL GIVE BRAINLY TO THE FIRST PERSON WHO ANSWERS
Sara is making a scale drawing of a painting that is 48 in wide by 120 in high. Her paper is
12 in wide and 24 in tall. She decides to use the scale 1in=4in. Is this a reasonable scale?
DON'T USE LINKS OR I WILL REPORT YOU!!!
Answer: Not reasonable
Step-by-step explanation:Answer:
No, it isn't a reasonable scale.
Step-by-step explanation:
if the scale is 1in=4in then 12 by 24 paper should equal a 48 by 96 painting. That is not the case since the painting is 48 by 120.
A more appropriate scale for a 1=4 ratio would be 12 by 30.
I hope this helps!
Sophie has 5 pieces of string that are each 5 1/4 feet long. Cooper has 4 pieces of string that are each
3 7/8 feet long. Estimate how much more string Sophie has than Cooper has. Enter your answer in the box.
about how many feet?
emma advertises a reward for the return of her lost dog. frank, who does not know of the reward, finds and returns the dog. frank cannot recover the reward because he
Frank cannot recover the reward because he was unaware of the reward being offered by Emma.
In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.
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What is the following sum?
23/16xy+43,64xy
0 4x(3/2y) + 12x²y3√/2y²
O
08x/xy +12x°y (3{6y )
0 16xy(3,27
0 48xºy(3/2y
The simplified expression is 4x∛2y + 12x²y∛2y².
We have the Expression
2(∛16x³y)+ 4 (∛54x⁶y⁵)
Now, factorise as
16 = 2 x 2 x 2 x 2
54 = 2 x 3 x 3 x 3
So, we can write
∛16x³y = ∛2× 2 × 2 × 2 × x × x × x × y
∛54x⁶y⁵ = ∛ 2 x 3 x 3 x 3 × x × x × x × x × x × x × y × y × y × y × y
Then, 2(∛16x³y)+ 4 (∛54x⁶y⁵)
= 2(∛2× 2 × 2 × 2 × x × x × x × y) + 4 (∛ 2 x 3 x 3 x 3 × x × x × x × x × x × x × y × y × y × y × y)
= 2 (2x) (∛2y) + 4 (3x²y) (∛2y²)
= 4x∛2y + 12x²y∛2y²
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For the first four hours of the day, the arrival rate at the gas station is 18 vehicles per hour. The gas station is capable of serving 16 vehicles per hour. The last vehicles arrives exactly four hours after the start of the day. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served.
How long will that vehicles be in the gas station (in hours)?
Note: Round your answer to 2 decimal places.
The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.
To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.
Given:
Arrival rate: 18 vehicles per hour
Service rate: 16 vehicles per hour
Time: 4 hours
First, let's calculate the total number of vehicles that arrive during the 4-hour period:
Total number of vehicles = Arrival rate * Time
= 18 vehicles/hour * 4 hours
= 72 vehicles
Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:
Time to serve all vehicles = Total number of vehicles / Service rate
= 72 vehicles / 16 vehicles/hour
= 4.5 hours
Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.
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3x 3(x y)3x 3(x y)3, x, plus, 3, (, x, plus, y, )? choose all answers that apply: choose all answers that apply:
x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.
The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)
To simplify the given expression, we will first solve the expression within the brackets as follows:
(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³
Now, we will substitute the above value in the expression:
3x[3(x + y)]^3 = 3
x × 27(x + y)³ = 81x(x + y)³
Multiplying both terms of (x + 3)(x + y), we get:
(x + 3)(x + y)
= x(x + y) + 3(x + y) + 3y
= x² + xy + 3x + 3y + yx + 3y
= x² + 4xy + 6y + 3x
The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:
81x(x + y)³ × (x² + 4xy + 6y + 3x)
= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)
= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy
Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.
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a deck of cards contains red cards numbered 1,2,3,4,5,6,7,8,9, blue cards numbered 1,2,3,4,5 and green cards numbered 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. if a single card is picked at random, what is the probability that the card is green?
The deck of cards contains a total of 29 cards, of which 15 are green. Therefore, the probability of picking a green card at random can be calculated by dividing the number of green cards by the total number of cards, giving:
P(green) = 15/29
This probability can also be expressed as a decimal or a percentage. As a decimal, it would be 0.5172, and as a percentage, it would be 51.72%. This means that there is a slightly higher than 50% chance of picking a green card at random from this deck.
It is important to note that this probability assumes that the deck is well-shuffled and that all cards have an equal chance of being picked. If the deck is not well-shuffled or if some cards are missing or duplicated, the probability of picking a green card would be affected.
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q3.3: now, let's extend it further. if x was initialized to 10 instead of 3 (still a shared variable), what is the largest value y can contain after the code runs?
The largest value y can contain after the code runs when x is initialized to 10 instead of 3, is 30.
When x is initialized to 10, the for loop runs for i = 0 to 9. In each iteration, the value of y is updated by adding x to it. Since x is constant and equal to 10, the value of y increases by 10 in each iteration. After the loop completes all 10 iterations, the value of y would be 10 + 10 + 10 + ... + 10 (10 times). This can be calculated as 10 * 10 = 100.
However, since y is a shared variable and subject to concurrent execution, the code does not guarantee sequential updates of y. There can be race conditions where multiple threads try to update y simultaneously. To avoid this, we need to ensure atomicity in updating the value of y.
Assuming atomic updates, the final value of y would be 30. This is because y starts with an initial value of 0, and in each iteration, it is updated by adding x (which is 10 in this case). So, the final value of y can be calculated as 10 + 10 + 10 = 30.
In summary, when x is initialized to 10 instead of 3, the largest value y can contain after the code runs are 30.
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Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w
The values of \(w\) that make the inequality \(-w\ge7\) true are
\(\{... ,-11,-10,-9,-8,-7\}\). An equivalent inequality, in terms of \(w\), is \(w\le-7\)
To get the values that make the inequality true, we have to solve the inequality for \(w\). This will also give an equivalent inequality in terms of \(w\)
\(-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7\)
the solution set is the set of values \(\{... ,-11,-10,-9,-8,-7\}\). In other words, \(w\) can take up values less or equal to \(-7\) to make the inequality \(-w\ge7\) true
Also, the inequality equivalent to \(-w\ge7\) is \(w\le-7\)
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I really need the answer for this. My teacher about to grade it. Yall please help me out.
Answer: i think that its D
Step-by-step explanation:
im really sorry if its wrong
Answer:
Step-by-step explanation:
Take my answer with a grain of salt as this is an educated guess based on the problem.
The exponentiation rule for raising a power to another power (a^b)^c = a^{bc} therefore a power to a power is equal to the powers multiplied together. so if the base is equal to (32/5) and the power is -2x. some number raised to the x is equal to (32/5)^-2x therefore because -2^x is equal to -2x the answer is B which is the original base (32/5) with the exponent -2 when raised to the x will be equal to (32/5)^-2x.
Therefore, B is the answer