Answer:
x=150
Step-by-step explanation:
x/30-x/40=5/4
or, (4x-3x)/120=5/4
or, x/120=5/4
or, x=600/4
or, x=150
How do you solve this step-by-step?
Answer:
7 1/20OAmalOHopeO
An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window design. Explain to him, with a diagram, how to design an inscribed triangle, and show him that the pieces all have equal area.
The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR. Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
Learn more about 'Equilateral Triangle' here:
brainly.com/question/2855144
Solve the system of equations using substitution.
y = x + 6
y = –2x – 3
Answer:
x = -3
y= 3
Step-by-step explanation:
y = x + 6 -----------------------(I)
y = -2x - 3 ---------------------(II)
Substitute y =x +6 in equation (II)
x + 6 = -2x - 3
Add 2x to both sides
x + 2x +6 = -3
Combine like terms
3x + 6 = - 3
Subtract 6 from both sides
3x = - 3 - 6
3x = -9
Divide both sides by 3
x = -9/3
x = -3
Plug in s = -3 in equation (I)
y = -3 + 6
y = 3
If f(x)f(x) is an exponential function where f(1.5)=5f(1.5)=5 and f(7.5)=79f(7.5)=79, then find the value of f(3)f(3), to the nearest hundredth.
Answer: [tex]7.93[/tex]
Step-by-step explanation:
Given
[tex]f(x)[/tex] is an exponential function. Suppose [tex]f(x)[/tex] is [tex]ae^{bx}[/tex]
[tex]f(1.5)=5\ \text{and}\ f(7.5)=79[/tex]
[tex]\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)[/tex]
Similarly,
[tex]\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)[/tex]
Subtract (i) and (ii)
[tex]\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066[/tex]
Insert the value of [tex]b[/tex]
[tex]\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16[/tex]
So, the function becomes
[tex]\Rightarrow f(x)=3.16e^{0.3066b}[/tex]
[tex]\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93[/tex]
Answer:
7.93
General Exponential Form: y=ab^x
Plug in both points
divide the equations
cancel out a, subtract exponent of b
please help asap
6. Solve for x
Answer:
D. -2
Step-by-step explanation:
19 = x + 12 + 11 + x
Solve for x
Combine like terms
x + x = 2x
12 + 11 = 23
We now have
19 = 23 + 2x
Subtract 23 from both sides
19 - 23 = -4
23 - 23 cancels out
We now have -4 = 2x
Divide both sides by 2.
-4/2 = -2
2x/2 = x
x = -2
Integrate the following.[tex]\int\limits^a_b {sin(x)} \, dx[/tex]
Answer: -cos(a)+cos(b)
Step-by-step explanation:
To integrate is the same as saying to find the antiderivative.
[tex]\int\limits^a_b {sin(x)} \, dx[/tex] [antiderivative of sinx is -cosx]
[tex]-cos(x)|_b^a[/tex] [include boundaries]
[tex]-cos(a)+cos(b)[/tex]
Therefore, the integral would be -cos(a)+cos(b).
E) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional? f) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Answer:
Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.
En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.
a) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?
Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.
Entonces, si un hombre gana una cantidad X, tendremos:
X = 100%
y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:
X = 100%
1300 francos = 68%
Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:
X/(1300 francos) = (100%/68%)
Ahora podemos resolver esto para X:
X = (100%/68%)*(1300 francos) = 1911.76 francos.
Un hombre en la misma posición ganaría 1911.76 francos.
b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.
El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:
1102 euros = 100%
Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:
X = 67%
Así, tenemos dos ecuaciones:
X = 67%
1102 euros = 100%
Tomando el cociente, obtenemos:
X/(1102 euros) = (67%/100%)
Resolviendo para X obtenemos:
X = (67%/100%)*(1102 euros) = 738.34 euros
Una mujer en la misma posición ganaría 738.34 euros.
Evaluate+the+expression
12-3y/2+v(2y-4/v) for y=3
Answer:
Y=3 but V=??????????????!!I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE TO ANSWER)
Which shows the following expression after the negative exponents have been eliminated?
Answer:
Option A
Step-by-step explanation:
[tex]\frac{1}{a^{-m}}=a^{m}\\[/tex]
[tex]\frac{m^{7}n^{3}}{mn^{-1}}=\frac{m^{7}n^{3}n^{1}}{m}=\frac{m^{7}n^{3}n}{m}[/tex]
its given that s=n(a+c)/2
Express c in terms of s, n and a
how much more did Low Pricer sell than Leff Store made?
Answer:
1200-800=400
Step-by-step explanation:
low pricer has 6*200
leff has 4*200
subtract the two to find the how much more low pricer sold than leff
THIS QS with explanation sum
Answer:
X = 276°
Step-by-step explanation:
Divide X into x1 and x2
then then using the trick of co-interior angles, find the answer of x1 and x2 . then add x1 and x2
A class is divided evenly into four groups.which could NOT be the total number of students in the class?
A. 46
B. 36
C. 52
Answer:
a. 46
Step-by-step explanation:
not evenly divisible by 4
Calculate the answer without using a calculator
g) cos 180° + 2 fan 30 sin 60
Answer:
0
Step-by-step explanation:
Tan 30 and Sin 60 are in first quadrant and so their values will be positive.
Cos 180 is in Second quadrant. In second quadrant , value of cos is negative.
Cos 180 = -1 ; Tan 30 = 1/√3 & Sin 60 = √3/2.
Cos 180 + 2 tan 30 + Sin 60 = [tex]-1 + 2* \frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{2}[/tex]
= [tex]-1 + 1 = 0[/tex]
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?
5x + 2 – 3x2
Answer:
leading coefficient -3
constant 2
Step-by-step explanation:
Standard from is from largest power to smallest power
-3x^2 +5x +2
The leading coefficient is the number in front of the largest power of x
-3
The constant is the number without a power of x ( or x^0)
2
Can someone help me with this math homework please!
Explanation:
Choice A has the f(x) values going down on the interval -1 < x < 1 only.
Choice B appears to be decreasing over its entire domain, so we can rule this out (since we want -1 < x < 1 to be the only decreasing interval).
Choice C's table isn't decreasing when -1 < x < 1 since y = -3 increases to y = 0 (from x = -1 to x = 0). So we can rule it out.
A similar situation happens with choice D as well, so we can rule this out. The function isn't decreasing when we go from f(-1) to f(0).
Here is Question Two
AB= 9 UNITS
hope it helps you...
Answer:
by Pythagoras theorem
in first
a²+ b² = c²
6² + 9² = c²
36 + 81 = 117
AD = 117
and in second
a² + b² = c²
a² + 6² = 117
a² = 117 - 36
AB² = 81
AB = 9
Nick works part-time at a bookstore. His pay varies directly with the number of hours worked. In one week, he earned $120 for 8 hours of work.
a) Define two variables for this relation.
b) Describe the rate of change in words.
c) Determine an equation to represent the relation:
d) Use the equation to determine how many hours Nick must work to earn $345
Answer:
23 hoiurs
Step-by-step explanation:
Given data
a. The two variables are
1. Number of hours worked
2. The amount earned
b. The rate is given as
=120/8
=$15 per hour
c. The equation is given as
rate=Amount earned/ number of hours worked
15= 345/hours
make hours subject of the formula we have
hours= 345/15
hours= 23 hours
Hence he must work for 23 hours
{(5,2), (-2,4), (2, -7)}
Domain:
Range:
Answer:
Step-by-step explanation:
The domain are all the x values in order, no repeats allowed:
D = {-2, 2, 5}
Same thing for the range, except these are the y values:
R = {-7, 2, 4}
The coordinates stated this way don't match up to what they are in coordinate form, but they don't have to.
Answer:
Domain : {-2,2,5}
Range:{ -7,2,4}
Step-by-step explanation:
The domain is the inputs
Domain : {-2,2,5}
The range is the outputs
Range:{ -7,2,4}
Instructions: Find the measure of the indicated angle to the nearest degree.
29 and 17
Answer:
30º
Step-by-step explanation:
because it is a right triangle, we can use trig functions to solve
tan^{-1}=17/29=30.379
what is 7+21?
please help please helppp
Answer:
=28
Step-by-step explanation:
21
+ 7
___________
28
Hope this helps! If it is a simple addition ?
Use the distributive property to write equivalent expressions.
Someone please help ty!
Answer:
12+27k
Step-by-step explanation:
distribute the 3
A boy spent 2/7 of his pocket money on transport and 1/5 on sweet. if he left with 20. what is the amount of money in the boys pocket
Answer:
x = 350
Step-by-step explanation:
x - starting amount
[tex]\frac{2}{7} x[/tex] = after transport
[tex]\frac{1}{5} (\frac{2}{7} x)[/tex] = after sweets
[tex]\frac{1}{5} (\frac{2}{7} x)[/tex] = 20
[tex](\frac{2}{35} x)[/tex] = 20
2x = 700
x = 350
If y=-12 when x=9, find y when x=-4
please answer quickly
Answer: x=3
Step-by-step explanation:
to make y=-4 from -12 you have to divide by 3. so divide the 9 by 3 to get 3 which is your answer
at a post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid 26 dollars. The next time, he send 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answer:
The post office charges $0.7cents to send one letter, and the fee is $1.5
Step-by-step explanation:
Solve the equation 5x + 2(2x -23) = -154
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
5x+2(2x-23)=-1545x+4x-46=-1549x-46=-1549x=-154+469x=-108x=[tex]\sf{\dfrac{-108}{9} }[/tex] x=-12Answer:
x = -12
Step-by-step explanation:
5x + 2(2x - 23) = -154
Distribute;
5x + 4x - 46 = -154
Collect like terms
9x - 46 = -154
Add 46 to both sides;
9x = -108
Divide both sides by 9
x = -12
Given that line AB is the angle bisector or
Concrete is made by mixing screenings, cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
Step-by-step explanation:
it still remains 125 it doesn't change
need help asap plz
A rectangle ABCD has a width of 3 inches and a length of 7 inches.
Answer the following questions:
a) What is the Perimeter of the rectangle?
b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the old one to find the times of increase/decrease)
c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of rectangle ABCD?
d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c) and d) for the shape you chose.
e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and what happens when you change both dimensions of the shape?
Answer:
I'm sorry but i only know a) so yeah
anyway a) is 20 in.
Step-by-step explanation:
Hope it helps!
