By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Jennifer needs to use a ladder to clean a second-floor window on a building.
If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.
Then the length of the ladder will be
H² = 13² + 4²
H² = 169 + 16
H² = 185
H = 13.6 ft
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Answer: 4^2+13^2=x^2
Step-by-step explanation:
trust
Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point his broomstick, considering that the wind is pretty strong at 21 km/h [S 55° E]. His broomstick has an airspeed of 18 m/s. Determine the heading he should have and the velocity of the broom with respect to the ground.
Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as
VR = 20, 699 m/s South
What is the heading he should have and the velocity of the broom with respect to the ground?Divide horizontal and vertical components of Vs and Vw vectors
For Vs
Vs = Vs cos∅ [s] + Vs Sin∅ [w]
Vs = 18 Co58 [s] + 18 sin∅ [w]
For Vw
Vw = Vw Cos 55' [s] + Vw Sin 55 [E]
5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]
Vw = 3.3458 [s] + 4.7783 [E]
Resultant velocity VR = Vs + Vw
VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)
VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]
(Harry Potter) flies south
18sin∅ - 4.7783 18=0
Hence
Sin∅ = 4.7783 18/18
∅ =sin{-1}(4.7783 18/18)
∅ = 15.3943
Harry Potter flies in the direction south to ∅ = $15.3943w]
Hence velocity
VR = (18 cos∅ + 35452) s + 0
VR = (17.3541 +3-3458) s
VR = 20, 69999 m/s South
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Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.
histor Grammer
Step-by-step explanation:
lol bhsg HD tcvh by by by g
Identify the area of a regular pentagon with side length 15 cm rounded to the nearest tenth. NEED HELP ASAP
Answer:
I believe the answer to be 387.11
Step-by-step explanation:
A=1/4√5(5+2√5) a°2=1/4√5•(5+2•√5)•15°2=387.10742 cm°2
Rounded= 387.11
In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) radhika scored 20 marks. if she got 12 correct answers, how many questions has she attempted incorrectly? (ii) mohini scores -5 marks in this test, though she has got 7 correct answers. how many questions has she attempted incorrectly?
The number of incorrect answers made by Radhika is 8; the number of incorrect answers made by Mohini = 13
How to solve algebra word problems?
We are given;
Marks obtained for 1 right answer = +3
Marks obtained for 1 wrong answer = −2
(i) Marks scored by Radhika = 20
Marks obtained for 12 correct answers = 12 × 3 = 36
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−16) ÷(−2) = 8
Therefore, the number of incorrect answers made by Radhika = 8
(ii) Marks scored by Mohini = −5
Marks obtained for 7 correct answers = 7 × 3 = 21
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = − 5 − 21 = −26
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−26) ÷ (−2) = 13
So, the number of incorrect answers made by Mohini = 13
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Three of these fractions are equivalent:
A.30/70
B.12/30
C.9/21
D.6/14
Which one is the odd one out?
A.
D.
B
C
Answer:
b is the odd one out
Step-by-step explanation:
30/70= .428
12/30= .4
9/21= .428
6/14= .428
all are equal except 12/30
hope this helped!
Angles C and D are complementary. The ratio of the measure of Angle C to the measure of Angle D is 2:3. Find the measure of each angle. Explain or show your reasoning.
By using the ratio, we will see that angle C measures 36° and angle D measures 54°.
How to find the measure of the angles?First, two angles are complementary if the sum of their measures gives 90°.
So we have:
C + D = 90°.
Also, we know that the ratio of C to D is 2:3
This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.
90°/5 = 18°
C = 2*18° = 36°
D = 3*18° = 54°
These are the measures of the angles.
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12. The sum of two consecutive integers is 59. Write an
equation that models this situation and find the
values of the two integers.
Step-by-step explanation:
Equation=>x+x+1=59
2x=58
x=29
the numbers are 29 and 30
Find the volume of this object.
Use 3 for π.
Volume of a Cylinder
V= πr²h
Volume of a Sphere
3 cm.
V= / Tr³
4 cm
V≈ [?]cm³
Enter
10 cm.
Answer:
408 cm^3
Step-by-step explanation:
You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3
Evaluate (cant write it out, picture included)
Let's solve this problem step-by-step:
⇒ with our knowledge of PEMDAS
⇒ (look at the image attached)
Let's solve:
Let's first plug n's value[tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]
Let's first do the division[tex]\frac{9}{-3}+4=-3+4[/tex]
Now let's add[tex]-3+4=1[/tex]
Answer: 1
Hope that helps!
The function f(x) is shown below.
x
f(x)
–6
1
–3
2
2
5
5
3
8
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
The value of f(g(2)) is 2.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y)
then, the coordinates of inverse of f(x) is defined as (y,x).
f(g(y))= f(x) [ g(x)= (y,x)]
f(g(y))= y
So, If g(x) is the inverse of f(x), the f(g(y)) = y.
Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.
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Write a quadratic function h whose zeros are 7 and -5.
Answer:
h = x² - 2x - 35
Step-by-step explanation:
Making the factors :
It mentions the zeros are 7 and -5.
Then, the factors are :
⇒ (x - 7)
⇒ (x + 5)
===========================================================
The quadratic function will be :
⇒ h = (x - 7)(x + 5)
⇒ h = x² - 2x - 35
PLEAASSE HELP! DUE TODAY
Answer:
1/4
Step-by-step explanation:
1 hour 15 minutes = 75 minutes
25 mins + 75mins = 100 minutes
25/100 minutes x 100 = 25%
25% = 1/4 of the time was spent reading.
A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats to run a maze. Next he randomly divided the rats to three groups. Each group had 23 or 24 rats. For the next month, one group of rats listened all day to heavy metal music by the group Anthrax. One group listened all day to Mozart. One group never heard music. The rats ran the same maze three times a week for a month. The response variable is the time in seconds to complete the maze. By the end of the month he compared the average run time for each treatment group to the average run time for the control group. The Anthrax group was much slower at running the maze. The Mozart group was much faster. The differences are statistically significant at the 1% level. Run times are not heavily skewed in any group. What conclusion can we draw from these results
Step-by-step explanation:
Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.
while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.
here 3 remarks.
first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.
and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.
and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.
I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).
1 soda + 1 cupcake+1popsicle=$22.00
1 soda +3cupcakes+3popsicle=$40.00
if a cupcake cost,$2:00 more than a popsicle,find the cost of the following
a)1 cupcake
b)1 popsicle
Answer:
a) 1 cupcake = $5.50
b) 1 Popsicle = $3.50
Step-by-step explanation:
Let s = cost of one soda
Let c = cost of one cupcake
Let p = cost of one Popsicle
From the given information we can create 3 equations:
Equation 1: s + c + p = 22Equation 2: s + 3c + 3p = 40Equation 3: c = p + 2Subtract Equation 1 from Equation 2 to eliminate the variable s:
s + 3c + 3p = 40
- s + c + p = 22
2c + 2p = 18
Substitute Equation 3 into this new equation and solve for p:
⇒ 2c + 2p = 18
⇒ 2(p + 2) + 2p = 18
⇒ 2p + 4 + 2p = 18
⇒ 4p = 14
⇒ p = 3.5
Substitute the found value of p into Equation 3 and solve for c:
⇒ c = p + 2
⇒ c = 3.5 + 2
⇒ c = 5.5
To find the cost of a soda (s), substitute the found values of p and c into Equation 1:
⇒ s + c + p = 22
⇒ s + 5.5 + 3.5 = 22
⇒ s = 13
Therefore,
1 soda costs $131 cupcake costs $5.501 Popsicle costs $3.50The percent frequency for S&P 100 companies in the Consumer Staples sector is
The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
How to determine the percentage frequency?From the pie chart of the dataset (see attachment for the pie chart), we have:
Consumer Staples = 8.2%
This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
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Solve pls brainliest
Answer: 64
Step-by-step explanation:
u = 56 * 8 / 7 = 64
Kiran walked at constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
d = t + 14
d = t - 14
d = 15t
d = 115t
Answer:
C. d=15t
Step-by-step explanation:
it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15
More information:
I hope this is able to help you, please feel free to give feedback if necessary :)
Farmer Bob has pigs and chickens. He has 37 animals, and there are 124 legs among them altogether. How
many chickens does Bob have?
A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line
Answer:
If I am not mistaking it should be -7.5
Step-by-step explanation:
Answer:
b = -15/2
y = -3x -15/2
Step-by-step explanation:
The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.
__
intercepty = mx + b . . . . . . . equation of a line with slope m and y-intercept b
y -mx = b . . . . . . . . subtract mx from both sides
For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...
b = -3/2 -(-3)(-2) = -3/2 -6
b = -15/2 . . . . . the value of b for this line
__
equation of the lineThen the equation for the line is ...
y = mx +b
y = -3x -15/2
solve the equation 4/5x-2 = x
Answer:
[tex]\frac{4}{5}[/tex]x-2=x
[tex]\frac{4x}{5}[/tex]-2=x
[tex]\frac{4x}{5}[/tex]+[tex]\frac{5(-2)}{5}[/tex]=x
[tex]\frac{4x+5(-2)}{5}=x[/tex]
x= -10
Step-by-step explanation:
write as a power function. The energy, e, produced in a nuclear reaction is proportional to the mass, m, with a constant of variation being c^2, the square of the speed of light
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,
e ∝ m
To remove proportionality we need to add a constant of variation which is c², the square of the speed of light
e = m c²
Hence, the power function of the energy is e=mc².
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A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?
Step-by-step explanation:
they are independent systems, so in case of an emergency both systems will activate.
this is like rolling 2 dice and asking for the probability that both will show 1.
the probability that both will fail is the product of the individual probabilities for failure :
0.01 × 0.03 = 0.0003
so, the third answer option is correct.
FYI - the probability for 2 dice to both roll 1 is
1/6 × 1/6 = 1/36
Question 1
1 pts
You are going to buy a new car. There are two body styles(sedan or hatchback), 5 colors
and 3 models.
How many total choices can you choose from?
O 20
O 30
O 15
O 10
5/x+3=4/x simplify please
Answer:
12
Step-by-step explanation:
cross multiply. 5*x=(x+3)4 5x=4x+12, therefore x=12
geometry please help
Answer: 31
Step-by-step explanation:
Assuming this is a rhombus, then the diagonals are perpendicular, meaning angle MQN measures 90 degrees.
Now, if we consider triangle MNQ, we know that angles in a triangle add to 180 degrees, meaning NMQ measures 31 degrees.
concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translations from f(x) to g(x) ?
A. The function f(x) was translated left 3 units and up 2 units
B. The function f(x) was translated right 3 units and down 2 units
C. The function f(x) was translated left 3 units and down 2 units
D. The function f(x) was translated right 3 units and up 2 units
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
If n < 0, the translation is downwards.if n > 0, the translation is upwards.And a horizontal translation of n units as:
g(x) = f(x + n).
if n > 0, the translation is to the left.if n < 0, the translation is to the right.Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
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Find the distance between the two points. (-1, 6). (2.8)
Round to the nearest hundredth
The distance between the two points. (-1, 6). (2.8) is 3.61 units
How to determine the distance?The points are given as: (-1,6) and (2,8)
The distance is calculated using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
This gives
[tex]d = \sqrt{(-1 -2)^2 + (6 -8)^2}[/tex]
Evaluate the sum of squares
[tex]d = \sqrt{13}[/tex]
Evaluate the exponent
d = 3.61
Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units
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How do I answer this question
Answer:
9³
Step-by-step explanation:
We know that,
[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]
By following the above, let us solve the given question.
Let us solve now.
⇒ 9⁵ ÷ 9²
⇒ 9⁵⁻²
⇒ 9³
3 1/7 as an improper fraction
Answer:
Its is already an impoper fraction.
what’s the surface area Due by tomorrow!!!
Answer: The surface area = 2040.
Step-by-step explanation: Have a great day!