Step-by-step explanation:
We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!
Se desea construir una letra "ene" mayúscula de tal manera que sus segmentos paralelos midan 25 cm y el
segmento oblicuo que une ambos mida 65 cm. ¿Qué distancia en línea recta separará los segmentos paralelos?
Answer:
La distancia en línea recta que separa los segmentos paralelos es 60cm.
Step-by-step explanation:
Esta pregunta se puede resolver usando el teorema de Pitágoras:
[tex] \\ c^2 = a^2 + b^2[/tex] [1]
Es decir, en triángulos rectágulos, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos de dicho triángulo. Un triángulo es rectángulo cuando el ángulo que forman sus dos catetos es recto o de 90 grados sexagesimales.
Es importante notar que la letra N tiene dos lados paralelos y el lado oblicuo (o inclinado) une ambos lados paralelos. Pues bien, la letra N puede formar dos triángulos iguales. Escojamos uno de ellos para obtener la respuesta, es decir, la distancia en línea recta que separa los segmentos paralelos (segmentos verticales de la N)
El lado oblicuo (inclinado) es la hipotenusa de ese triángulo (es decir, c). De los catetos, uno está representado por uno de los segmentos paralelos (verticales) de la N (digamos que es b), y, el otro cateto, es la distancia horizontal que une ambos segmentos verticales (digamos que es a).
Si unimos el segmento inferior del cateto b con el extremo inferior de la hipotenusa, se forma el cateto a. Este cateto a forma un ángulo recto con el cateto b y, por lo tanto, forma un triángulo recto. Los lados de un triángulo recto pueden resolverse usando el teorema de Pitágoras, descrito en [1].
Usando [1] y despejando a, tenemos:
[tex] \\ c^2 = a^2 + b^2[/tex]
Restamos [tex] \\ b^2[/tex] de ambos lados de la igualdad:
[tex] \\ c^2 - b^2 = a^2 + b^2 - b^2[/tex]
[tex] \\ c^2 - b^2 = a^2 + 0[/tex]
[tex] \\ c^2 - b^2 = a^2[/tex]
Luego
[tex] \\ a^2 = c^2 - b^2[/tex]
Extrayendo la raíz cuadrada en cada lado de la igualdad:
[tex] \\ \sqrt{a^2} = \sqrt{c^2 - b^2}[/tex]
Entonces
[tex] \\ a = \sqrt{c^2 - b^2}[/tex]
Asimismo, tenemos que [tex] \\ c = 65[/tex]cm y [tex] \\ b = 25[/tex]cm
Entonces,
[tex] \\ a = \sqrt{65^2 - 25^2}[/tex]
[tex] \\ a = \sqrt{4225 - 625}[/tex]
[tex] \\ a = \sqrt{3600}[/tex]
[tex] \\ a = 60[/tex]cm
De esta manera, el valor de a, o la distancia en línea recta que separa los segmentos paralelos, es 60cm.
Podemos comprobar el resultado anterior haciendo uso del mismo teorema de Pitágoras:
[tex] \\ 65^2 = 60^2 + 25^2[/tex]
[tex] \\ 4225 = 3600 + 625[/tex]
[tex] \\ 4225 = 4225[/tex]
En la figura anexa se aprecia gráficamente lo anteriormente explicado.
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
4425.7
Step-by-step explanation:
When sound is created it travels to the ear through a
Answer:
medium
Step-by-step explanation:
The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.
Answer:
Medium
Step-by-step explanation:
your welcome loves
Put the following equation in slope-intercept form: -3y=12+3x
Answer: y= -x - 4
Step-by-step explanation:
Write and solve a proportion to answer the question.
72 is what percent of 45?
Answer:
160% is for 72 of 45
2/3 of a number is ten what’s the number
Answer:
15
Step-by-step explanation:
pls help me i dont understand pls help
Answer:
its 11 by 6
Step-by-step explanation:
hope it works out
Answer:
The correct answer is 11/6
Step-by-step explanation:
Hope it works out !!
wrtie the vaule of 2 1/4 x (4+12)
Answer:
36
Step-by-step explanation:
[tex]2 1/4 = 9/4[/tex] if you convert it to an improper fraction.
[tex]9/4(4+12)\\9/4(16)\\36[/tex]
Answer:
The answer is 36
Step-by-step explanation:
2 1/4 * (4+12)=36
The diameter of a circle measures 24 mm. What is the circumference of the circle? use 3.14 for π, and do not round your answer.
Answer & Step-by-step explanation:
[tex]Circumference=d\pi[/tex]
The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.
[tex]Circumference=(24)\pi[/tex]
We will use 3.14 for pi.
[tex]Circumference=75.36[/tex]
So, the circumference of the circle is 75.36 mm.
What is the mean of the data set?
17, 24, 26, 13
04
O 13
20
O 80
Answer:
so here is the answer. Hope it helps.
PLease HELP!!!
THANK YOU :)
Which of the following inequalities contains (0, 0) in its shaded region?
3x + y < −5
x ≥ −y + 3
y − 7x > −4
3y > 2x
Answer:
y-7x>4
Step-by-step explanation:
Substitute the point (0, 0) for all of the equation and see which one will be true. The only reason why the 3rd equation is true is because (0) - 7(0) equals to 0 and 0 is greater than -4.
Answer:
C
Step-by-step explanation:
Edge 2021
Which of the points shown below are on the line given by the equation y = x + 3
Answer: B
Step-by-step explanation:
PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST: Which geometric solid is the best model for the head of a human being?
A. Cylinder
B. Cone
C. Pyramid
D. Sphere
Answer:
sphere
Step-by-step explanation:
Human heads are close to circles and sometimes are circles
Sphere is the best model for the head of a human being.
A human head definitely doesn't represent a Cone neither a Pyramid.
Now a cylinder is a solid which is circular at its edges and straight in its length which clearly does not model the human head. Now the Sphere, it does closely represent the outside figure of a human head.
Thus Sphere is the best model for a human head.
Therefore option D, sphere is the correct answer.
Learn more about Sphere, refer:
https://brainly.com/question/26506182#SPJ2
Help please!!!! 50 points!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000
Answer:
a
Step-by-step explanation:
i went onto a mortgage calculator and thats what i got, idk how to explain through
There are 855 pieces of candy in the piñata. There are 19 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?
Answer: 45
Step-by-step explanation: 85/19=45
Solve -16x = -80.
1.)-5
2.)5
3.)-96
4.)-64
Answer:
5
Step-by-step explanation:
Answer:
The final answer is [tex]x = 5[/tex], which would be the second choice.
Step-by-step explanation:
Solve the equation:
[tex]-16x = -80[/tex]
-Divide both sides by -16:
[tex]\frac{-16x}{-16} = \frac{-80}{-16}[/tex]
[tex]x = 5[/tex]
So, the final answer is [tex]x = 5[/tex] .
answer these 6 questions
SOLVE these
1.(13x-15=12x+16)
2.(9x-19=2x-5)
3.(16x-35=7x-8)
4.(6x-5=13-3x)
5.(4x-9=6-x)
6.(5x-2=10-x)
Answer:
[tex]1)13x - 15 = 12x + 16 \\ 13x - 12x = 15 + 16 \\ x = 31[/tex]
[tex]2)9x - 19 = 2x - 5 \\ 9x - 2x = 19 - 5 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]
[tex]3)16x - 35 = 7x - 8 \\ 16x - 7x = 35 - 8 \\ 9x = 27 \\ \frac{9x}{9} = \frac{27}{9} \\ x = 3[/tex]
[tex]4)6x - 5 = 13 - 3x \\ 6x + 3x = 5 + 13 \\ 9x = 18 \\ \frac{9x}{9} = \frac{18}{9} \\ x = 2[/tex]
[tex]5)4x - 9 = 6 - x \\ 4x + x = 9 + 6 \\ 5x = 15 \\ \frac{5x}{5} = \frac{15}{5} \\ x = 3[/tex]
[tex]6)5x - 2 = 10 - x \\ 5x + x = 2 + 10 \\ 6x = 12 \\ \frac{6x}{6} = \frac{12}{6} \\ x = 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answers:
31
2
3
2
3
2
Look at the attached picture
Hope it will help you
Good luck on your assignment
I need help with these questions! I need to finish them quick. Please and thank you!
Answer:
33ft^2
Step-by-step explanation:
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
What is Maya’s biking speed?
Answer:
19 miles per hour
Step-by-step explanation:
how many 3 combinations can you make with 11 numbers
Answer:
9
Step-by-step explanation:
Frank and Linda just finished a meal and received their bill for $47.60. They would like to leave their server a 20 percent tip. Which expression could be used to find the total bill including gratuity?
0.2 (47.60)
47.60 minus left-bracket (0.2) (47.60) right-bracket
47.60 + left-bracket (0.2) (47.60) right-bracket
0.8 (47.60)
Answer:
Step-by-step explanation:
Tips = 20% of 47.60
= (20/100) * 47.60
= 0.20 * 47.60
Total bill = 47.60 + (0.2)*(47.60)
Answer:
the answer is 47.60 + (0.2)*(47.60)
Angle relationships with parallel lines can someone help me please
Answer:
x = 132
Step-by-step explanation:
The angles are supplementary so the add to 180 degrees
x+48 = 180
Subtract 48 from each side
x+48-48 = 180-48
x =132
Are the ratios 3:9 and 1:3 equivalent
Answer:
[tex]yes \\ 1 : 3 = 3 : 9[/tex]
Step-by-step explanation:
yes.
[tex]1 : 3 = 3 : 9[/tex]
Let see how is it possible,
[tex]3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9[/tex]
Also,
[tex]1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
3+8+7+6+5+88+456-8734_65+9999
Answer:
is this the right question
Answer:
1773
Step-by-step explanation:
because if you put the _ as - it mean to subtract so then you see how I got it
The diameter of a sphere is 6 ft 6 in. Find the radius.
Answer:
3 ft 3 in
Step-by-step explanation:
The radius is half the diameter.
If the diameter is 6 ft 6 in, then the radius is 3 ft 3 in.
What is the value of x and the length of segment DE?
1. 5/9= 9/(2x+3)
2. 10x + 15 = 9(9)
x=?
length of de=?
Answer:
[tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]
Step-by-step explanation:
The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.
Given
[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]
Required
Find x
Length of DE
To find x, we need to first simplify the given equation
[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]
Multiply both sides by [tex]9(2x+3)[/tex]
[tex]\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)[/tex]
[tex]5(2x + 3) = 9(9)[/tex]
[tex]10x + 15 = 81[/tex]
Subtract 15 from both sides
[tex]10x + 15 - 15 = 81 - 15[/tex]
[tex]10x = 66[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} = \frac{66}{10}[/tex]
[tex]x = \frac{66}{10}[/tex]
[tex]x = 6.6[/tex]
From the attached;
[tex]DE = 2x + 3[/tex]
Substitute 6.6 for x
[tex]DE = 2(6.6) + 3[/tex]
[tex]DE = 13.2 + 3[/tex]
[tex]DE = 16.2[/tex]
Hence [tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]
Answer: 6.6 for the first x
Length of DE is 16.2
Also these are correct!
Step-by-step explanation:
I just put it in
For a point to be a solution to a
system of inequalities, the point
must make_ of the
inequalities true.
Answer:
The signs.Step-by-step explanation:
For a point to be a solution to a system of inequalities, the points must make the signs of the inequalities true.
For example, the points must give results like 2<3 or 0>-2, these are true solutions. If the points gives 1>2, then that point is not a solution.
PLEASE HELP! The frequency of a radio wave varies inversely as its wavelength. If a 1,250-meter wave has a frequency of 240 kilohertz, what is the wavelength of a wave that has a frequency of 500 kilohertz? Round your answer to the nearest meter.
Answer:
600 m
Step-by-step explanation:
I attend LUOA as well.
Answer:
600m
Step-by-step explanation:
I, too, attended LUOA.
hope this helps:)
What is 7+(-7)=? Help me plis
Hey!!
Here's your answer
7+(-7)
=7-7
=0
so the answer is 0
hope it helps...
Answer:
7+(-7) would be 0 because with one negative and one positive, they cross each other out.
Step-by-step explanation:
hope this helps. :))
What is the y-intercept of the line with equation y = 3x + 2
Answer:
The y-intercept is 2.
Step-by-step explanation:
We can find the y-intercept by looking at the linear equation y = mx + b.
m = slope
b = y-intercept
====================================================
Let's find the y-intercept of this line.
You should notice that the equation is written in Slope-Intercept Form:
[tex]\bigstar{\boxed{\pmb{y=mx+b}}}[/tex]
Where
m -> slope
b -> y-intercept
In the equation y=mx+b, the y-intercept is b, and in the equation y=3x+2, 2 is the y-intercept.
=========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)