The height of wall where the ladder touches it is 8 ft.
Given that, a ladder is leaned against a wall, the building and the ground form a right angle, we need to find that how high on the building will the ladder touch,
So, here using the Pythagoras theorem,
Formula =
a²+b² = c², a, b and c are the sides of a right triangle,
Here, c = 10 ft, b = 6 ft we need to find the a,
a²+6² = 10²
a² = 100-36
a² = 64
a = 8
Hence, the height of the wall where the ladder touches it is 8 ft.
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Identify the type of function represented by f(x)=3/8(4)^x
A. Exponential Growth
B. Quadratic
C.Linear
D.Exponential Decay
In Apex its A. Exponetial Growth
Answer:
Option A - Exponential Growth
Step-by-step explanation:
Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]
To find : Identify the type of function given ?
Solution :
The given function is in the form [tex]f(x)=ab^x[/tex]
This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.
If we compare the given expression, [tex]f(x)=\frac{3}{8} (4)^x[/tex]
The initial value is [tex]a=\frac{3}{8}[/tex]
and the growth/decay rate factor [tex]b=4[/tex]
Since b>1 then it is a growth factor.
Refer the attached figure below.
Therefore, Option A is correct.
The function [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.
What percent of a circle is 2/5 of a circle? Explain
2/5 of a circle is equivalent to 40% of the circle. This is determined by multiplying 2/5 by 100%.
Explanation:In the field of
Mathematics
, a circle is divided into an angle of 360 degrees or 100 percent. If we want to find out what percent of a circle is 2/5 of a circle, we need to perform a simple calculation.
Firstly, note that 1 whole circle (or 360 degrees) is equivalent to 100%.
When we say 2/5 of a circle, we are referring to 2/5 parts of the whole circle.
To find out what percent 2/5 of the circle is, we multiply 2/5 by 100%:
(2/5) * 100% = 40%
This means that 2/5 of a circle is 40% of the whole circle.
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Determine the length of the hypotenuse
21^2 + 28^2 = Hypotenuse^2
441 + 784 = 1225
sqrt (1225) = 35
hypotenuse = 35
What percent is 108 of 81 (show work please thank you)
how do you graph y-6=(x+2)
Which one is greatest 4 or 4.022
Which number supports the given conjecture?
If the sum of the digits of a number is divisible by 9, then the number is also divisible by 9.
A.
19
B.
54
C.
87
D.
109
A triangle is rotated 180 degrees about the origin. Its image is reflected in the x-axis. The vertices of the final triangle are (-4,-4), (-2, -4), and (-3, -1). What are the vertices of the original triangle?
The original vertices of the triangle is at A(4, 4), B(2, 4) and C(3, 1)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Rotation is the rotation of a figure about a point. If point A(x, y) is rotation 180 degrees about the origin, the new point is at A'(-x, -y).
Given the vertices of the final triangle are A'(-4,-4), B'(-2, -4), and C'(-3, -1) after a 180 degrees rotation. Therefore the original vertices of the triangle is:
A(4, 4), B(2, 4) and C(3, 1)
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what is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18
[tex] \text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3 [/tex]
Answer:
A on edge/e2020
Step-by-step explanation:
Which of the following is an institution that functions much like a business, but does not operate for the purpose of generating profits? a business franchise a nonprofit organization a consumer cooperative a labor union
Answer:
a nonprofit organization
Step-by-step explanation:
A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.
There is 3/4 of a pizza leftover from the night before. How many 1/8 portions are there
lana is using a can opener to open a can of soup every time she twists the knob of the can opener the can turns 36 degress
John Took a 5 1/2 mile walk to his friends house. He left at 11 AM and arrived at his friends house at 1 PM
a. What was his average speed of walking
at 1200 hours in london it is 0400 hours in Los Angeles. What day and time is it in Los Angeles if it is 0630 hours on sunday in London?
The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour?
An expression that represents temperature change per hour is Time = 3 *temperature change.
What is an expression in mathematics?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given, The pace of the temperature decline has been steady. It dropped 15 degrees in 3 hours. Hence
in three hours temperature drops by 15 degrees
in one hour temperature drops = 15/3 = 5 degrees
Therefore, Time = 3 *temperature change is an equation that shows the temperature change per hour.
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Evaluate the expression and prove your answer by using a model. 5/8 divide by 1/2
Which set of values could be the side lengths of a 30-60-90 triangle?
Answer:
can we see an example
Step-by-step explanation:
I seriously don't know.
explain how knowing 50 x 4 = 200 helps you find 500 X 400?
What is the measure of angle EXH?
add the 3 angles together:
30 + 30 + 30 = 90
the answer is 90 degrees
What is the solution of the system? Also if you can, explain please?
Use the elimination method.
−4x−2y=−12
2x+4y=−12
Damian wrote the number four and twenty three thousandths as 4.23 describe and correct hi number
The correct representation of four and twenty three thousandths in decimal form is 4.023, not 4.23. The second decimal place represents hundredths and the third decimal place represents thousandths.
Explanation:Damian's notation of four and twenty three thousandths as 4.23 is incorrect. This number should be represented as 4.023. The reason is in the understanding of decimal places. In decimal notation, the first place after the decimal point represents tenths, the second represents hundredths, and the third represents thousandths. Hence, twenty three thousandths is written as 0.023. Damian, therefore, mislocated the decimal point. So, to correct his number, it would be four (the whole number) + twenty three thousandths (0.023) = 4.023.
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Solve the equation for the variable (solve for the second c)
10c - f= -13 + cd
Mr Paul drove to clay and back from drake he drove 312 miles took a break and then drove 244 miles to clay on his trip back to drake from clay he drove 305 miles before he took a break if he drove the same route back how many miles did he drive the second part of his return trip
the graph F (x) and its transformation g (x)
which equation correctly models g (x)
Step-by-step explanation:
Answer is the third question
a stem-and-leaf plot shows the shape of data but not individual values true or false
The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.
What is a stem-and-leaf plot?A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.
In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.
While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.
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If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
PLEASE HELP!
Write an algebraic expression for 9 groups of w
It is 9w hope this helps
At the market, 8 batteries cost $10 .How much do 6 batteries cost
divide 10 by 8 to get price per battery
10/ 8 =1.25 per battery
now multiply 1.25 x 6 for total
1.25 * 6 = $7.50 for 6 batteries
Given that eight batteries cost $10, six batteries will cost $7.5
How much do 6 batteries cost?Given that;
8 batteries cost $101 battery = ?If 8 batteries cost $10, 1 battery will be;
1 battery = $10 / 8
1 battery = $1.25
Now, given that;
1 battery cost $1.256 batteries = ?If 1 battery cost $1.25, 6 batteries will be;
6 batteries = $1.25 × 6
6 batteries = $7.5
Given that eight batteries cost $10, six batteries will cost $7.5.
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How to multiply fractions
Hello There!
To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.
Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.
Finally, you want to find the greatest common factor but only if the fraction can be simplified.
That Is How To Multiply Fractions