Answer:
12.6 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be height up the side of the building , then
h² + 6² = 14²
h² + 36 = 196 ( subtract 36 from both sides )
h² = 160 ( take the square root of both sides )
h = [tex]\sqrt{160}[/tex] ≈ 12.6 ft ( to the nearest tenth )
The sides of a square measure 4 ft. Which is the length of the diagonal of the square?
A.8 ft
B.43 ft
C. & ft
D. 8/2 ft
E. 4√2 ft
Answer:
4√2 ft
Step-by-step explanation:
For the figure below the base area and the height has been provided. find the VOLUME
Answer:
Step-by-step explanation:
To find the volume of this solid, multiply the base area by the height:
V = (25 cm²)(4 cm) = 100 cm³
The required volume of the solid will be 100 cm³ in the given figure.
What is the volume of a Solid?The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.
The solid is given has the base area and the height provide the following:
The base area of the solid = 25 cm²
The height of the solid = 4 cm
As per the given figure, the required solution would be as:
To find the volume of the given solid, multiply the base area by the height:
The volume of the solid = The base area x The height
The volume of the solid = (25 cm²) x (4 cm)
Apply the multiplication operation, and we get
The volume of the solid = 100 cm³
Therefore, the required volume of the solid will be 100 cm³ in the given figure.
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Help with number 1 please I’ll give brainleist.
Answer:
75%
Step-by-step explanation:
First, take a look at the equation.
4, 500(1.75)^t
4500 is the y-intercept, or the INITIAL VALUE, as given in the information.
Exponential Growth is shown when the percentage is added to 1. For example, in this case, it's 1+0.75, which equals 1.75.
Therefore, annually, it increases by 75%.
You are selected all at one time 5 cards from a standard 52 card deck. What is the probability that all 5 cards are face cards jack, queen king, or ace?
Answer:
P (face card) = 0.0003
Step-by-step explanation:
There are 12 cards (face cards such as jack, queen king, or ace) and 36 numbered cards from2's to 10's.
The probability of picking 5 face cards out of 12 face cards when we have to choose 5 cards from 52 deck cards is given by
P (face card) = 12C5/ 52C5= 0.0003
Solve the following problems.
1. The daily demand for copies of a movie magazine at a variety store has the probability distribution as
follows.
Number
of Copies
Х
0
1
2
3
4
5
6
7.
18
9
10
P(X)
0. 06 0. 14 0. 16 0. 14 0. 12 0. 10
0. 08 0. 07
0. 06
0. 04 0. 03
a) What is the probability that 3 or more copies will be demanded in a particular day?
The probability that 3 or more copies will be demanded in a particular day is 0.64.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.
This can be written in an equational form -
P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03
P(x) = 0.64
Therefore, the probability is 0.64.
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1. The accuracy of a pool thermometer is the positive difference between the temperature
reading on the thermometer t and the actual temperature of the pool p. Write two absolute
value expressions equivalent to the accuracy of a pool thermometer.
The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and |p - t|
How to write absolute value expressions for the accuracy of the thermometer?Absolute value means to remove any negative sign in front of a number and to think of the number as positive. This is indicated by the vertical lines | |
Any expression that contain the vertical lines is called absolute
value expression
Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.
We can write:
accuracy = | t - p|
OR
accuracy = | p - t|
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Answer:
It-pI
Step-by-step explanation:
2 The displacement of a mass is given by the function
y = sin 3t. 3t is measured in radians.
The tasks are to:
a) Draw a graph of the displacement y against time t
for the time t = 0s to t = 2.s.
b)
Identify the position of any turning points and
whether they are maxima, minima or points of
inflexion.
c) Calculate the turning points of the function using
differential calculus and show which are maxima,
minima or points of inflexion by using the second
derivative.
Compare your results from parts b and c.
The graph is attached and the point of maximum as y"(π/6) < 0 and at point of minimum y"(π/2) > 0.
What is turning point and inflexion point?An inflection point is where a graph's curvature changes, from concave up to concave down or vice versa. It is also known as a turning point, flex, inflection, or "point of diminishing returns."
A concave down graph resembles an upside-down U or a cap, while a concave up graph resembles the letter U (or a "cup"). The intersection of a "cup" and a "cap" marks the inflection point.
Given displacement of mass by function,
y = sin(3t), where 3t is in radians,
the graph for t = 0 and t = 2 sec.
2: The position of turning point,
differentiate the equation we get,
y' = 3cos(3t)
the turning points are t = π/6 and t = π/2
y'(π/6) = y'(π/2) = 0
3: inflexion points,
again differentiate the equation we get,
y" = -9sin(3t)
and inflection at π/3
because y"(π/3) = 0
Maximum and minimum points are π/6 and π/2 respectively,
as the point of maximum t = π/6 as y"(π/6) < 0,
and point of minimum at t = π/2 as y"(π/2) > 0.
Hence the graph is attached and maximum at t = π/6, and minimum at t = π/2, and inflection at π/3.
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Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
What does the y-intercept mean in this situation?
When the cab travels 0 miles, the total fee will be $14.00.
When the cab travels 0 miles, the total fee will be $1.50.
For every additional mile the cab travels, the total fee increases by $14.00.
For every additional mile the cab travels, the total fee increases by $1.50.
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
What is the y-intercept?The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.
The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
Difference between 7 and 5 = 2
Difference between $24.50 and $21.50 = $3
Variable cost per mile (Slope) = Rise/Run
= $1.50 ($3/2)
y = mx + b
y-intercept, b = 24.50 - 7(1.5)
= 14
= $14.00
Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.
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Answer:
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
Step-by-step explanation:
If 0° < 0 < 90° or 180° < 0 < 270°, explain why sin 20 is always positive.
The value of sin (20°) will always be positive, because :
0° < 20° < 90°
we know, that 20° lies in first quadrant and values of sin in first quadrant is always positive.
How do I solve e less than 5?
Answer:
e-5
Pretty simple
A drum of oil has a height of 4 feet and a radius of 1.2 feet. The oil cost $22 per cubic feet. What is the cost to fill the drum of oil
The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.
What is cubic feet?An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.
The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.
Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.
We have to calculate the cost to fill the drum with oil.
Since formula to get the volume of the drum is V = πr²h
V = 3.14×(1.2)²×4 = 18.09 feet³
Now the cost of oil to fill the drum will be
Cost = Volume × cost = 18.09×22 = $397.90
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Which is the graph of a quadratic function that has a discriminant value of 0? blue, green, yellow, or purple?
Mia had 11/15 pounds of flour. She makes a cake with 2/15 pounds of flour.how much flour is left? Write as a fraction in simplest form
Answer: 3/5
Step-by-step explanation:
11/15-2/15=9/15
9/15 simplified is 3/5 :D have a nice day! hoped this helped!
help
I'll give brainliest
Answer: I believe the answer is 5
Answer:
in the first question you use the cosine rule to solve the problem since you have one angle and two sides of the triangle and the rules states thus x square is equal to 5 squid + 8 squared -2 * 5 * 8 x cos 60
The sum of H and 188 PLEASE HELP FASTT!!!!! :(
Step-by-step explanation:
50 is your correct Answer
A pizza has an 18 inch diameter and is sliced into 12 pieces. What is the length of the crust on the edge of one piece of pizza?
answers:
3 pi
4.5 pi
6 pi
1.5 pi
The required length of the curst on the edge of one piece of pizza 1.5 π. Option D is correct.
What is the perimeter?Perimeter is the measure of the figure on its circumference. The perimeter of a circle is given as 2πr, where r is the radius of the circle.
here,
A pizza has an 18-inch diameter
Circumference of pizza = 18π
The pizza is sliced into 12 pieces, and the length of the crust on the edge of one piece of pizza is given as,
= 18π/12
= 1.5π
Thus, the required length of the curst on the edge of one piece of pizza is 1.5 π.
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HELPPP answer A B C D PLEASEE DUE BY MIDNIGHT
Answer:
I'm not exactly sure what you were doing in class but this is what I would do.
I really hope it helps!! :)))
Step-by-step explanation:
for A I would connect the D point of the top angle to the D point of the bottom angle and draw the line across line t. For B the points all share the same angle because the figure is being reflected over line t the position of the figure changes but the size and angles stay the same. use a protractor in B to verify all the angles are the same. For C the only thing that would make sense is that all the lines are parallel because the figure was flipped. and for D just trace one on top of the other
Two angles of a triangle are same size. The third angle is 12 degrees smaller than the first angle. Find the measure of the third angle.
Answer:
44°
Step-by-step explanation:
Given that :
Two angles are equal sized;
Let the angle = x
Third angle = 12 smaller than first, x - 12
The measure of the third angle ;
Sum of angles in a triangle = 180°
First + second + third angle = 180°
x + x + (x - 12) = 180
2x + x - 12 = 180
3x = 180 - 12
3x = 168°
x = 56°
The third angle :
(x - 12) = 56 - 12 = 44°
Question 1
Solve for x.
x(x + 6) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
X =
|
X =
Answer:
[tex]x=-6, 0[/tex]
Step-by-step explanation:
Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].
This means [tex]x=-6, 0[/tex].
A local weather station forecasted 93% chance of rain on a weekend what is the probability that it will not rain on the weekend?
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
The probability of not rain on weekend is 7%.
We have given that,A local weather station forecasted 93% chance of rain on a weekend.
We have t find the probability of not rain on the weekend.
What is the formula for the probability?
Probability of not to rain=1-probability of rain
Therefore we get,
100%-93%=7%
[tex]\frac{7}{100}=0.07[/tex]
So the probability of not rain on weekend is 7%.
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HELP
i just need to make sure my answers are right (i will check the answer after i do it)
Cari says if a triangle has the side lengths of 3, , and 9, then the triangle is a 30-60-90 triangle. Dana says if a triangle has the side lengths of 2, , and 4, then the triangle is a 30-60-90 triangle. Who is correct and why
358 800 ÷ 10000000 0000
Answer:
0,000003588
Step-by-step explanation:
the answer is 0 :)
Step-by-step explanation:
LOL.......................... -,-
A corporation earned a profit of $2.5 x 104 for 1 x 10³ days in a row. What was the corporation's total profi
during this time period?
Total profit earned = 25000000 dollars
What is profit?Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.
What is the total profit during this time period?Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row
total profit earned during this time = $(2.5 × 10⁴ × 10³)
$2.5 × 10⁷
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Can you please help me solve dis
Answer:
I would say F
Step-by-step explanation:
This is because a rectangle need to have at least one side of parallel sides that are the same length and F confirms that.
A lawn sprinkler located at the corner of a yard rotates through 80 degrees
and sprays water of 20 ft. What is the length of the arc of the sector watered?
(Express your answer to the nearest tenths.)
The length of the arc of the sectored watered is 27.9 feets
What is length of an arc?length of arc is the distance between two points along a section of a curve.In other words, it's the distance from one point on the edge of a circle to another, or just a portion of the circumference
The length of an arc is given by :
L = theta/360 × 2πr
where tetha is the angle substends
r is the radius
Here the radius is the length at which water is sprayed = 20 ft
tetha = 80°
therefore l = 80/360 × 2×3.14 × 20
L = 29feets
Therefore the length of the arc formed by the water is 27.9 feets
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How do you translate coordinate points on a graph?
The translation of the coordinate points on the graph by linear displacement in comparison of original points ( x , y ) get translated to ( x + h, y + k ) where h ∈R , k ∈R.
As given in the question,
Let us consider original coordinate point on a given graph be ( x ,y ).
Translation represents the change in the linear displacement or the location without changing the shape and size.
Shift of the point may be horizontally or vertically.
Let 'h' and 'k' be the horizontal and vertical shift.
If the horizontal shift is right then it is represented by x + h
If the horizontal shift is left then it is represented by x - h
If the vertical shift is up then it is represented by y +k
If the vertical shift is down then it is represented by y - k.
Therefore, the translation of the coordinate points on a given graph represented by original points ( x , y ) get translated to ( x + h, y + k ) where h ∈R , k ∈R.
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simplifying radicals worksheet algebra 2
Therefore , the solution of the given problem of expression comes out to be √14q × 2√4q = 4q√14.
Describe expression.combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.
• 3 x/2 variable is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.
Here,
The simplified expressions are 20 = 25, 56x2 = 2x14, [150x3k4] = 5xk26x, and 14q 24q = 4q14 given the facts from the question.
Simplifying the surd
A perfect square must be one of the components for a number to be written as just surds.
How to Make 20 Recall Simpler
20 = 4 × 5
Thus,
√20 = √(4 × 5)
√20 = 2√5
simple methods √(56x²)\s√(56x²) = √56 × √x²
Recall
√56 = √(4 × 14) = 2√14
√x² = x
Thus,
√(56x²) = 2√14 × x
√(56x²) = 2x√14
simple methods [150x3k4] = [150x3k4] = [150x3k4]
Recall
√150 = √(25 × 6) = 5√6
√x³ = √(x² × x) = x√x
√k⁴ = k²
Thus,
√[150x³k⁴] = 5√6 × x√x × k²
√[150x³k⁴] = 5k²x√6x
How to simplify 14q 2 4q: 14q 2 4q = 2
(14q × 4q)
√14q × 2√4q = 2 × 2q√14
√14q × 2√4q = 4q√14
Therefore , the solution of the given problem of eexpression comes out to be √14q × 2√4q = 4q√14.
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Use the Pythagorean Theorem to solve for the unknown side length. *
13 cm
12 cm
what’s the unknown side length?
Answer:
13cm
Step-by-step explanation:
Answer: 13cm
Step-by-step explanation:
Quentin is filling a glass that holds cups of water. He is using a cup measuring cup. How many times will he have to fill the smaller measuring cup to equal cups
So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
Glass holds = 1(3/4) cups of water
One cup holds = 1/4 cup of water
number of 1/4 cups needed to fill the 1(3/4) cups of water glass.
[tex]\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4[/tex]
number of times the smaller cup fills the glass is 7.
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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?