simultaneous equations
Aplicando el teorema de Tales elige la opción que determine la altura de una torre que proyecta una sombra de 14 m, tomando en cuenta que Kevin tiene una estatura de 1.75 m y proyecta una sombra de 3.5m
Utilizando el teorema, veremos que la altura de la torre es 7 metros.
¿Cual es la altura de la torre?
El teorema de Tales nos dice que para triangulos similares, la razon entre los catetos debe ser igual.
Esto significa que la razon entre la altura y el largo de la sombra de un objeto debe ser una constante.
Sabemos que Kevin tiene una estatura de 1.75m y proyecta una sombra de 3.5m
El cociente es:
3.5m/1.75m = 2
Es decir, la sombra tiene una longitud de dos veces la altura.
Entonces si la sombra de la torre es de 14m y la altura es h, tendremos:
14m/h = 2
h = 14m/2 = 7m
La altura de la torre es de 7 metros.
Sí quieres aprender más sobre triangulos rectangulos, puedes leer:
https://brainly.com/question/25839532
Solve for the value of x in the figure below.
Solve for the value of y in the figure below.
Answer:
x=37
y=125
Step-by-step explanation:
97+28+x+18=180 (sum of the interior angles of a triangle is 180)
143+x=180
x=180-143
x=37
y+x+18=180 (sum of the angles on a straight line is 180°)
y+37+18=180
y+55=180
y=180-55
y=125
or
y=97+28(exterior angle of a triangle= 2 interior opposite angles)
y= 125
which inequality is graphed below
a. y<x2+4x+4
b. y2+4x+4
c. y>x2+4x+4
Answer:
c.
Step-by-step explanation:
The graph will be shaded above the boundary line when the inequality is of the form ...
y > ( )
The boundary line will be solid when the comparison includes the "or equal to" case:
y ≥ ( )
__
Here, the parabola will open upward if the leading coefficient is positive:
y ≥ x² + ( )
The shading above the solid line tells you the inequality is ...
y ≥ ( ) . . . . . matches choice C
_____
Additional comment
The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.
what is angle D? i don't know how to do the math due to being absent on a friday
Answer:
∠ D = 110°
Step-by-step explanation:
Assuming the quadrilateral is a parallelogram.
• Consecutive angles sum to 180° , then
∠ B + ∠ C = 180 , that is
5x + 3x + 4 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
∠ B = 5x = 5 × 22 = 110°
• Opposite angles are congruent
∠ D = ∠ B = 110°
help with the last question plss
It is an equation because it has an equal sign and it must solve for the variable which is "n".
Step-by-step explanation:
How many years is 694.44 days?
Answer:
1.9 years
Step-by-step explanation:
There are 365 days in a year
694.44 / 365 = 1.9
Hope this helps!
Answer: 1.9013
Step-by-step explanation:
Please Help ASAP! What is the measure of Angle WZY
Answer: 138
Step-by-step explanation:
can somone help me out
Hey there!
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cuando un número es representado en notacion científica con exponente negativo¿ Hacia dónde se recorre el punto decimal para escribirlo en número normal ?
Answer:
El decimal siempre va a la izquierda.
Step-by-step explanation:
Mueve el decimal el número de veces que el exponente es. Por ejemplo: 5.3x10^-2. En el 5.3 vas a mover el decimal 2 veces a la izquierda.
0.053
A membership sales person at a gym is given a choice of two different compensation plans. One plan offers a weekly salary of $300 plus a commision of $15 for each membership sold. The other plan offers no salary but pays $30 commission on each membership sold. How many memberships must the salesperson sell to make the same amount of money under both plans? FAST PLS
Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.
Step-by-step explanation:
Let x be the number of memberships.
In first plan,
Weekly salary of $300 plus a commission of $15 for each membership sold.
i.e. Earning (weekly) = 300+15x
In second plan,
The other plan offers no salary but pays $30 commission on each membership sold.
i.e. earning = 30x
According to the question, when [tex]300+15x=30x[/tex]
[tex]\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20[/tex]
Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.
Airline passengers pay $439 to fly to California. For this price, customers may check 2 pieces of luggage. There is a fee of $25 for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pay to fly with p pieces of luggage, where p >2
Answer:
G. [tex] C = 25(p - 2) + 439 [/tex]
Step-by-step explanation:
Amount paid by customer to fly to California if carrying 2 pieces or less than 2 pieces of luggage for which they won't be charged for = $439
Fee for additional luggage = $25
Fee for additional luggage if an individual carries p luggages = 25(p - 2)
Total amount (C) if p pieces of luggage were carried by a customer travelling = fee for additional p pieces of luggage + $439
The function for this would be:
[tex] C = 25(p - 2) + 439 [/tex]
I need help on this question
Answer:
Step-by-step explanation:
Solve for j in the literal equation h − 7j= k.
Answer:
j = k - h/-7
Step-by-step explanation:
you make j all by itself
Jenna wears an orange shirt to school every 27 days (including today).
Hunter wears an orange shirt to school every 36 days (including today).
After today, what is the LEAST number of days it will take for both to wear
their orange shirts to school on the same day?
Answer:
2
Step-by-step explanation:
Find the quotient 70 divided by 17
Answer:
4.1
Step-by-step explanation:
Answer:
4.117.....
Step-by-step explanation:
it is corecct answer but it has remainder.
someone help me please
Answer:
132
Step-by-step explanation:
180-48= 132
Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180
Help please :). I need helppppppo
Answer:
386% is the 1 3/4 and the other is 239% I think?
Step-by-step explanation:
Select the correct verbal description for the expression below. A. the sum of x and a factor not depending on x B. the product of x and a factor depending on x C. the sum of x and a factor depending on x D. the product of x and a factor not depending on x
Answer:
D. the product of x and a factor not depending on x
Step-by-step explanation:
The equation for the given expression is:
[tex]x (2y+7z)^{2}[/tex]
According to the expression, there are two factors:
the first factor is x, and
the second factor is [tex](2y+7z)^{2}[/tex]
Since, the second factor do not contain x, therefore it is independent of x.
Hence, the expression for the given equation will be the product of x and a factor not depending on x.
100-475.50<1200 slove
Answer:
-375.5<1200
True
Step-by-step explanation:
100-475.5 = -375.5
Brainliest please!!
What if the vertices of the county were (-5,8), (8,8), (8,-6), and (-5,-6)? What would the perimeter of the county be?
Answer:
54 units
Step-by-step explanation:
We can graph the vertices given to make this easier to solve.
-> See attached.
-> This will help us in finding the lengths of the sides.
-> We can also use mathematics.
8 + 5 = 13 and 8 + 6 = 14
Next we will find the perimeter.
-> This can be found with either of these formulas:
[] P = 2L + 2W
[] P = W + W + L + L
P = 2L + 2W
P = 2(14) + 2(13)
P = 54
The perimeter of the county is 54 units
Find the value of x. Then , find the measure of each angle.
Answer:
I got you :)
Step-by-step explanation:
All angles of a triangle add up to 180 degrees so you can make the equation
3x-2+4x+9+3x-9=180 this equation will help you find x
I used the equation to find out that x=18.2 (i can explain this part further if you would like)
so now you know x=18.2 and all you have to do is plug in
m<H = 3 x 18.2 - 2 = 52.6
m<I = 4 x 18.2 + 9 = 81.8
M<J = 3 x 18.2 - 9 = 45.6
Hope this helps! :)
Also to check work you can do 52.6+81.8+45.6= 180 :) you know its right because it equals 180 degrees at the end
please answer I need help!!
Answer:
Step-by-step explanation:
answer: 0.73 because 7 hundreths times 10 = 7 tenths
help please if cant read its a 15mm 20mm and 100mm
Answer:
Exact volume = 30,000 + 5,000pi cubic mm
Approximate volume = 45,700 cubic mm
========================================================
Explanation:
Break the figure into two pieces.
The top part is a half-cylinder with radius r = 20/2 = 10 mm and height h = 100 mm.
The volume of this half-cylinder is
V = 0.5*(full cylinder volume)
V = 0.5*pi*r^2*h
V = 0.5*pi*10^2*100
V = 5000pi
This is exact in terms of pi.
The lower part is a 20 mm by 100 mm by 15 mm rectangular block. It has volume of length*width*height = 20*100*15 = 30,000 cubic mm.
---------
We'll add the two volumes found earlier to get the overall volume.
The total exact volume is 30,000+5,000pi cubic mm.
To get an approximation, you can use something like pi = 3.14
30000+5000pi = 30000+5000*3.14 = 45,700 cubic mm is the approximate volume when using pi = 3.14
Pls answer i will mark u brainlist
a) x(x+12) + 27
b) m(2n-3k) - 2p(3k + 2n)
What is the lenght of the side opposite the 60 degree angle?
Evaluate 2a-3b
a= 5/2 and b = -2
PLEASE ANSWER ASAP , thanks.
which are rational numbers 3,5,1,9,4,8
Answer:
3 is rational, 5 is rational, 1 is rational, 9 is rational, 4 is rational, 8 is rational.
Step-by-step explanation:
Point I is on line segment HJ. Given HJ = 15 and IJ
HI.
10, determine the length
Answer:
Point I is on line segment HJ; which means HI and IJ are equal.
HJ = 15
IJ = 10
Finding the length of HI, given the above statements:
Length of HI = 10 (reason: HI and IJ are congruent)
The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 90 feet is 630 pounds per square inch. What is the pressure at 10 feet?
Which statement is true?
A. All squares are similar.
B. All hexagons are similar,
C. All scalene triangles are similar.
D. All similar figures are the same shape and size.