The height of the person is approximately 0.426 meters or 42.6 cm.
We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.
We can set up the following proportion:
(Height of building)/(length of shadow) = (height of person)/(length of shadow)
48/30 = h/0.8
Solving for h, we get:
h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426
Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.
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7(2x - 8) = -2x + 8
If ∆ABC ~ ∆XYZ, then: ∠C ~ ???
Answer:
[tex]\huge\mathfrak\red{Answer...} \\ \\\huge\mathfrak\purple{angle \: z} \\ \\ \huge\mathfrak\pink{hope \: it \: helps..}[/tex]
DEF is a equilateral triangle solve for X
Answer:
x=12√3
Step-by-step explanation:
we can split the triangle into two right triangles
since we know that DEF is an equilateral triangle, that means that we will be dealing with a 30°-60°-90° special right triangle
since it is a 30°-60°-90° triangle,
x=12√3
Daredevil Danny determine the values of a,b, and c show your work
Answer:
y = ax^2 + bx + ct
Step-by-step explanation:
the H hotel charges $150 per night for a family suite. They also charge 11% sales tax. How much would be paid in tax for one night in the family suite?
Steve ran a 26-mile race at an average speed of 4 miles per hour. If Adam ran the same race at an average speed of 3 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
Adam took 132 minutes longer than Steve.
Step-by-step explanation:
Let's find the time that takes Steve and Adam to complete the race. We will use the equation:
[tex] V = \frac{d}{t} [/tex]
Where:
d: is the distance = 26 miles
t: is the time =?
V: is the speed
For Steve we have the following time:
[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]
And the time of Adam is:
[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]
So, the difference between the time of Adam and Steve is:
[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]
Hence, Adam took 132 minutes longer than Steve.
I hope it helps you!
What is the area of the figure below
Answer:
C
Step-by-step explanation:
area for the rectangle is 5x6=30
area for the triangle is 5x2/2=5
30+5=35
Answer:
35
Step-by-step explanation:
A=b*h
30=5*6
A=.5*b*h
5=.5*2*5
30+5=35
What is the length of the longer side ?
1) Find the value of the expression.
6- y
for y = 2.6
Answer:
Answer:
1.3
Step-by-step explanation:
3.5 - y
y= 2.2
So substitute the Values and do 3.5 - 2.2 and you get 1.3 as answer
I hope This helped!
Answer:
1.3
Step-by-step explanation:
mrk me brainliest plzzzzzzzzz
this is an integration question.
Answer:[tex](1,1),\ \dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
Equation of the curves are [tex]y=x^2,\ y^2=x[/tex]
The intersection of the curve is
[tex]\Rightarrow y^4-y=1\\\\\Rightarrow y(y^3-1)=0\\\\\Rightarrow y=0,1\\[/tex]
So, x coordinates are [tex]x=0,1[/tex]
points of intersection are[tex](0,0),(1,1)[/tex]
So, the area bounded between the curves
[tex]\Rightarrow I=\int_{0}^{1}\left ( \sqrt{x}-x^2\right )dx\\\\\Rightarrow I=\int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}x^2dx\\\\\Rightarrow I=\left ( \frac{2}{3}x^{\frac{3}{2}} \right )_0^1-\left ( \frac{1}{3}x^3 \right )_0^1\\\\\Rightarrow I=\frac{2}{3}\left ( 1-0 \right )-\frac{1}{3}\left ( 1^3-0 \right )\\\\\Rightarrow I=\frac{2}{3}-\frac{1}{3}\\\\\Rightarrow I=\frac{1}{3}[/tex]
The area bounded by them is [tex]\frac{1}{3}[/tex]
Help please I need answer ASAP
Answer:
its B
Step-by-step explanation:
The the mesure of……..
The measure of angle B is 82°
What is angle ?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
∠A = 180° - 143°
= 37°
∠A + ∠B + ∠C = 180°
37° + ∠B + 61° = 180
∠B = 180 - 61 - 37
= 82°
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Mold has started to grow in
the bathroom. When I first
noticed it there was 3cm².
The next day there was 4.5
cm². I noticed each day it
grew by 50%.
The amount of mold after n days is 3 × (1.5)ⁿ⁻¹.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
At first, mold was 3 cm², then 4.5 cm², and it was increasing each day by 50%.
a₁ = 3
a₂ = 4.5
a₃ = 4.5 + (4.5 × 50%) = 6.75
.............
Here the common ratio, r = a₂/a₁ = a₃/a₂ = ..... = 1.5
n th term of a GP = a rⁿ⁻¹, where a is the first term and r is the common ratio.
Area of mold after n days = 3 × (1.5)ⁿ⁻¹
Hence the mold at any time can be calculated by the formula 3 × (1.5)ⁿ⁻¹.
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Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49
What is the y-intercept at 0 4?
The y-intercept of (0,4) is 4.
A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
The y-coordinate of the y-intercept is determined by computing f(0) if the curve in question is supplied as y=f(x), y=f(x), etc. There is no y-intercept for functions that have an value at x = 0.
The constant term a is the y-coordinate of the y-intercept if the function is linear and is written in slope-intercept form as f(x)=a+bx"
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Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 4
6th terms of given geometric progression whose common ratio is 3/2 and first term is 4 is 243/8 using the farmula ar^(n-1).
What is a geometric sequence?
A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.
Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).
a = First term where
The common Ratio is r.
nth term = ar^(n-1)
6th terms ar^(6-1) = ar^5.
given is that r =3/2. a = 4.
6th term = 4 * (3/2)^5
= 4 * 3^5/2^5
=4*243/4*8
=243/8.
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3/5+3 3/4=. They are all fractions btw also if you can please show work I need help ♀️
Answer:
[tex]4\frac{7}{20}[/tex]
Step-by-step explanation:
what is the area of this figure?
Answer:
392 m^2
Step-by-step explanation:
I made a video explaining it for you! I promise it’s not unrelated to the question. Here it is:
https://youtu.be/AcVNod4o-_w
what is 2/3(x+7)-18x+4/5 simplifyed
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
The total amount of weight gained by the dogs that gained half a pound each is [tex]2\frac{1}{2}[/tex] pounds.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
The given line plot represents the total amount of weight gained by the dogs that gained (1/2) a pound each.
From the given information the number of dogs gained (1/2) pound are,
1 + 2 + 2 = 5 dogs (observe the fractions given).
Therefore, the total amount of pounds is = 5×(1/2) = 2.5 pounds.
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Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
n/q=b/a
please help
Answer:
[tex]a = \frac{bq}{n}[/tex]
Step-by-step explanation:
If we are trying to solve for "a", then we need it to be alone on one side of the equation.
[tex]\frac{n}{q} = \frac{b}{a}[/tex]
[tex]\frac{an}{q} = b[/tex]
[tex]a = \frac{bq}{n}[/tex]
A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.
Answer: 106 km/h,2.5 hr
Step-by-step explanation:
Given
The train travels 315 km in the same time car travels 265 km
The average speed of the train is 20 kmph faster than car
Suppose, speed of the car is v and it travels 265 km in t hours
[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]
Time taken to travel is
[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]
What is the area of the figure below
Answer:
35[tex]yd^{2}[/tex]
Step-by-step explanation:
6x5=30
2x5(1/2)=5
30+5=35
HOW TO DO THIS QUESTION PLEASE
9514 1404 393
Answer:
3x +2y = 6
Step-by-step explanation:
The scale of the axes of the supplied graph are not shown. We must infer what they are from the equation of the given line.
The given equation is in slope-intercept form, so we can read the y-intercept from the equation as being -1. This is 1 major grid square below the x-axis.
y = mx + b . . . . . . . line with slope m and y-intercept b
The x-intercept is found by setting y=0 and solving for x.
y = x -1
0 = x -1
1 = x . . . . . . add 1 to both sides
The x-intercept of 1 is shown on the graph as 2 major grid squares from the y-axis. This tells us each major grid square is 1/2 unit in the x-direction and 1 unit in the y-direction.
__
Knowing the scaling of the axes, we can determine that the x-intercept of line L is 2, and the y-intercept is 3.
There are several different useful forms of the equation for a line. One of them is "intercept form":
x/(x-intercept) + y/(y-intercept) = 1
Using the above intercept values, this is ...
x/2 + y/3 = 1
Multiplying by 6 puts this in standard form:
3x +2y = 6 . . . . . . . standard form equation for line L
__
If we solve for y, we can find the slope-intercept form.
2y = -3x +6
y = -3/2x +3
What is a statistical question Musa can ask about the club?
How many hours does a member usually spend gardening each month?
How many members were at yesterday's club meeting?
How many gardens are on the school's property?
How much money did the club raise at last week's fundraiser?
Answer:
Step-by-step explanation:
Related questions:
find the product by calculation
a. 5× 1/9
b. 2× 3/5
c. 1/7× 1/4
d. 3/4× 2/5
Answer:
a. 5/9
b. 1 1/5
c . 1/28
d. 3/10
Step-by-step explanation:
Related questions:
find the product by calculation
a. 5× 1/9
= 5/9
b. 2× 3/5
= 6/5 = 1 1/5
c. 1/7× 1/4
= 1/28
d. 3/4× 2/5
= 6/20
= 3/10
The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5). Find the value of k.
If point P(2k, k) is equidistant from A(-2, 4) and B (7,-5), the numerical value of k is 3.
What is the numerical value of k?The distance formula used in finding the distance between two points is expressed as;
d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
The distance between P(2k, k) and A(-2, 4) is:
d = √((2k - (-2))² + (k - 4)²)
d = √((2k +2)² + (k - 4)²)
The distance between P(2k, k) and B(7, -5) is:
d = √((2k - 7)² + (k - (-5))²)
d = √((2k - 7)² + (k + 5)² )
Since the distances are equal, we can set the two equations for d equal to each other and solve for k.
√((2k +2)² + (k - 4)²) = √((2k - 7)² + (k + 5)² )
Square both sides
(2k +2)² + (k - 4)² = (2k - 7)² + (k + 5)²
(2k +2)² + (k - 4)² = 5k² - 18k + 74
5k² + 20 = 5k² - 18k + 74
Collect like terms
5k² - 5k² + 18k = 74 - 20
18k = 74 - 20
18k = 54
k = 54/18
k = 3
Therefore, the value of k is 3.
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Mr Black. 32 kg mg jars of peanut butter for school snacks. he spread the peanut butter on Bagels to feed 60 students. How many grams of peanut butter did he use for each bagel
Answer:
Amount of peanut butter each student get = 533.34 gram (Approx.)
Step-by-step explanation:
Given:
Amount of peanut butter Mr black has = 32 kg
Total number of students = 60 students
Find:
Amount of peanut butter each student get
Computation:
Amount of peanut butter Mr black has = 32 kg
Amount of peanut butter Mr black has = 32 x 1,000 gram
Amount of peanut butter Mr black has = 32,000 gram
Amount of peanut butter each student get = Amount of peanut butter Mr black has / Total number of students
Amount of peanut butter each student get = 32,000 / 60
Amount of peanut butter each student get = 533.33
Amount of peanut butter each student get = 533.34 gram (Approx.)
Is the line y 5 horizontal or vertical?
According to the following graph, the for the expression y = 5 is horizontal.
The term graph in math is known as the set of vertices and a binary relation between vertices, adjacency.
Here we have given the expression y = 5.
Now, we have to plot these expression on the graph, then we get the following graph.
Through the given graph, we have identified that the expression makes the horizontal line on the graph.
Here we also know that if the equation of a line is y = 5, then it is a horizontal line.
Here we know that the line is parallel to the x-axis and passes through the point y = 5 at the y-axis.
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What are the 4 steps to solve by elimination?
Elimination is a very easy method when it comes to solving simultaneous equations.
First, the best thing to do is bring the equations down to their lowest form. Try to remove the fractions in the co-efficient and have the equation in the standard form where every variable is expressed as individually as possible.
The next thing to do is to select a variable and manipulate the equations in such a way that the coefficients of that variable across all of the equations are the same. Here select any 2 equations to work on first if more than 2 are given
Now take one of the equations and multiply it by -1.
Add the equations up to eliminate the variable and derive the other variable(s)
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