Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
Pythagorean theoremThe Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
Is (3,1) a solution to this system of equations?
2x+y=7
2x+4y=10
Answer:2(3)+4(1)=10,
Step-by-step explanation:
To check if (3,1) is a solution to the system of equations 2x+y=7 and 2x+4y=10, we substitute x=3 and y=1 into the equations and check if the equations hold true.
What is the area of the base
evaluate the expression above to find the probability that exactly 5 of the ten individuals in the sample have consumed alcohol. round your answer to three decimal places.
To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:
- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem
If you provide the value of p, I can help you calculate the probability.
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Mary has four daughters, and each of her daughters has a brother. How many children does Mary have?
Answer:
um 8??
Step-by-step explanation:
Write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
To write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1.
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So if we have a slope of 1 or 1/1. our perpendicular line needs a slope of -1.
y - y1 = m(x - x1)
slope(m) = -1
(1,-5)...x1 = 1 and y1 = -5
now we sub...pay close attention to your signs
y - (-5) = -1(x - 1)....not done yet
y + 5 = -1(x - 1)...or it can also be written as : y + 5 = - (x - 1)
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Find the area of this semi-circle with radius,
r
= 10cm.
Give your answer as an expression in terms of
π
.
The diagram is not drawn to scale.
The area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.
What is the Area of the circle?The Area of the circle is the area enclosed by the circle in the two-dimensional plane.The formula for the area of the circle is given by:
\(A=\pi r^2\)
here r is the radius of the circle r=10cm
So the area of the circle will be:
\(A=\pi r^2\)
\(A=\pi \times {10}^2\)
\(A=100\pi\ cm^2\)
Hence the area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.
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Can anyone round the number 277235.2251 for me please. Asap please!!!
Answer:
277,235.23
Step-by-step explanation:
You have to round to the nearest 0.01 or you can call it the Hundredths Place.
10 hours 45 minutes + 50 minutes + 30 minutes what is the answer
Answer:
(10 hours 45 minutes) + (50 minutes) + (30 minutes) =
12 hours 5 minutes
Step-by-step explanation:
Suppose a bus always arrives at a particular stop between 8:00 AM and 8:10 AM. Find the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM..
Therefore, the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM is 20%.
To find the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM, we need to consider the time range during which the bus could arrive.
The bus always arrives between 8:00 AM and 8:10 AM, which means there are 10 minutes in total for the bus to arrive.
The desired time range is between 8:00 AM and 8:02 AM, which is a 2-minute interval.
To find the probability, we divide the desired time range (2 minutes) by the total time range (10 minutes):
Probability = Desired time range / Total time range
= 2 minutes / 10 minutes
= 1/5
= 0.2
= 20%
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Question 3 of 10
Classify the following triangle. Check all that apply.
11.9 , 7,6,11.9
A.Scalere
B. Right
C. Isosceles
D. Equilateral
E. Obtuse
F .Acute
Answer:
Step-by-step explanation:
An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.
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9. How many perpendiculars can we draw to a line from a given point outside the line?
O A. 3
O B. 2.
O C.O
D. 1
Answer:
The answer is D. 1. You can form only 1 perpendicular line.
Which statement explains how to begin to plot the point at (5,9) on a coordinate plane?
Find the pattern
2, 7, 17, __,___
What is the quotient of −105 and −15?
6
7
8
I don't know.
Answer:
7
Step-by-step explanation:
-105 ÷ -15 = \(\frac{-105}{-15}\) \(\frac{-105}{-15} = \frac{105}{15}\) 105 ÷ 15 = 7I hope this helps!
The quotient of −105 and −15 is 7. Therefore, option B is the correct answer.
We need to find the quotient of −105 and −15.
What is the quotient?The number results from the division of one number by another.
Now, −105÷(-15)=7
Therefore, option B is the correct answer.
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What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)?
parallelogram
rhombus
quadrilateral
rectangle
Answer:
The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.
To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.
Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1
Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1
Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0
Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0
We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.
While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.
Step-by-step explanation:
How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6
The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
To determine the number of significant figures in a calculation, we follow the rules for significant figures:
1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.
Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).
Now, multiplying this result by \(3.1416\) gives \(329.5719744\).
The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.
According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.
Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
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assume the prices of cold medicine (per box) are normally distributed with a mean of $17 and a standard deviation of $4.5. find the probability that a randomly selected box of cold medicine will cost more than $15. include a sketch of the density curve in your answer.
The probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.8413.
To find the probability, we need to calculate the area under the normal distribution curve to the right of $15. We can use the z-score formula to standardize the value of $15 and then look up the corresponding area in the standard normal distribution table or use statistical software.
First, we calculate the z-score:
z = (x - μ) / σ
where x is the value ($15), μ is the mean ($17), and σ is the standard deviation ($4.5).
z = (15 - 17) / 4.5 = -0.4444
Using the standard normal distribution table or a calculator, we find that the area to the left of z = -0.4444 is approximately 0.3581. Since we want the area to the right of $15, we subtract this value from 1 to get the probability of the box costing more than $15:
P(X > $15) = 1 - 0.3581 = 0.6419
Therefore, the probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.6419 or 64.19%.
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Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6
Answer:
B
Step-by-step explanation:
hope this helps.......
Answer:
my answer is B
Step-by-step explanation:
I know this because I just took a test on this and got it right.
Exponential functions in real life situation
Answer:
ANSWER IS-EXPONENTIAL IS LIFE BASED FUNCTION√Step-by-step explanation:
PLEASE help me identify what type of quadrilateral this is please help ASAP
I would really appreciate it
Answer:
its c)
Step-by-step explanation:
just looked it up
PLEASE HELP ME! WHAT IS -18-(-18)????
Answer:
0
Step-by-step explanation:
because subtracting a negative would just be a positive so it would really be -18+18=0
Answer:
0
Step-by-step explanation:
Because multiplying a negative by a negative equal a positive, the answer will be positive( or in this case neutral)
To solve multiply -(-18)-----> which is like multiplying -1 by -18
This equals 18
Then add -18+18, which equals 0
Hope this helps! Pls mark brainliest if correct (One more til' ace!) :)
f(x) = 2x2 - 1 What is f(x) when x=2 ?
Answer:
7
Step-by-step explanation:
To evaluate, substitute x = 2 into f(x), that is
f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7
Determine if the number is rational (R) or irrational (I).
1) 617
8) 5.6213
2) 42
9) 98/16
3) 75.082106
10) 39
4) Square root of 101
11) 89.396668...
5) 65.4279
12) Square root of 17
6) 20%
13) 67.714813...
7) T
14) Square root of 64
56213 o 75082106
Step-by-step explanation:
espero te sirva
Leo scores 12 points in a basketball game. He earns 2 points per basket.
How many baskets does Leo make?
Solve: x + 6y = 12 for y
\(\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)
\(x + 6y = 12 \\ \\ \longrightarrow \: 6y = 12 - x \\ \\ \longrightarrow \: y = \frac{12 - x}{6} \)
hope helpful :-;
Welp to solve this for y we need to first get the x out of the road by relocating it to the right
\(6y=12-x\)
Now we divide by 6 both sides
\(y=\frac{12-x}{6}\)
, which is our answer
hope it helps have a great time learning!
The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is 20 cm. Find the perimeter of the figure. (Take Pi = 3.14)
Answer:
110 is the aswer
Step-by-step explanation:
30 pts plz help/ i spent 2000 to get brownie town up and running. we make all sort of brownies . we make all sort of brownies . some how peanuts .some have chocolate ship, and other have icing every moth I earn 200 from brownie town sales
Answer:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
Answer:
Step-by-step explanation:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
Use the following graph to solve the equation 3n + 7 = 52
Answer:
\(3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15\)
Graph is not inserted.
can anyone help me create the equation of the given parabola . is it x^2-x-3?
Answer:
The function of this parabola is is equal to \(f(x) = (x-1)^{2} - 4\)
Step-by-step explanation:
If we look at this picture we cans see that the most bottom point of this parabola is located 4 units below and 1 unit tot he right of the origin point. From here we know tha tthe function will lokk something like this....
\(f(x) = (x^-1)^{2} + bx - 4\)
But in our case b is equal to zero and so we get that the following parabola is represented by the following function....
\(f(x) = (x-1)^{2} - 4\\\)
(If you don't believe me you can check this function on a graphing site called Desmos)
What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?
Step-by-step explanation:
i got 9x-9
hope this helps broo