Answer:
8 88 cm
5.625 inches
Step-by-step explanation:
The length scale drawing of the given object :
5) A parking lot 460 meters wide;
1 centimeter = 16.5 meters.
1 cm on the drawing is equivalent to 16.5 m on ground
Hence, using cross multiplication :
If :
1 cm = 16.5 m
x = 460 m
Cross multiply :
16.5x = 460 * 1
x = 460 / 16.5
x = 8.88 cm
6) A desk 7.5 feet long; .
Scale = 1.5 inches = 0.5 feet
1.5 inches on map is equivalent to 0.5 feets on ground
1.5 inch = 0.5ft
x in = 7.5 feets
Using cross multiplication
0.5x = 1.5 * 7.5
0.5x = 11.25
x = 11.25 / 0.5
x = 5.625 inches
24.94 is 29% of what number?
Answer:
86
hope this helps!
add me as a friend if u can<3
Answer:
86
Step-by-step explanation:
Express 29% as a decimal, which is 0.29
Then divide 24.94 by 0.29, which gives you 86.
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
A company plans to reduce the amount of energy used each year. This table shows the company's plan.
Answer:
the anserw would be B
Step-by-step explanation:
The relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.
What is the rate of exponential function?Rate of an exponential function is in terms of exponential function itself. It's not constant, and always changing. For example, the rate of [tex]y = e^x[/tex] with respect to x is [tex]y' = e^x[/tex] itself, which increases as x increases.
The given table is:
Year(Serial no.) Amount of energy used (kWh)
1 1,000,000
2 900,000
3 810,000
4 792,000
The differences between each consequent years of the amount of energy used is:
1000000 - 900000 = 100000
900000 - 810000 = 90000
810000 - 792000 = 18000
So, we see that the decrement is done by decreasing amount.
So rate of change wasn't constant but continuosly changing.
Thus, Option C is clearly wrong.
We see that 100,000 is 10% of 1,000,000
and 90,000 is 10% of next years amount 900,000
but 18,000 is not 10% of next years amount which is 810,000
Thus, Option A is wrong too.
Option B is correct in its statement, and so as option D because we don't see any immediate pattern in the decrement, except that the energy is just decreasing, so its unexpected.
The rate of exponentially related variables is not unexpected though.
So, its only Option B which is closest (among other options) to the intention of telling that the relation between the year and the amount of energy used is exponential, although it doesn't prove that the relationship is exponential. (because, suppose the function i take is [tex]y = x^2[/tex], then its rate with respect to x is [tex]y' = 2x[/tex] and this rate is also non-constant, but the function wasn't exponential).
Thus, the relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.
Learn more about rates of exponential functions here:
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What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
A rectangular dog pen is constructed using a barn wall as one side and 64 m of fencing for the other three sides what is the maximum area of the dog pen
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen.
One side of the pen uses the barn wall, hence the remaining side is 64 m, hence:
x + 2y = 64
x = 64 - 2y (1)
The area of the wall is the product of the length and the width, hence:
Area (A) = length * width = xy = (64 - 2y)y = 64y - 2y²
A = 64y - 2y²
The maximum area of the dog house is gotten when the derivative of the area is equal to 0. Hence:
A' = 64 - 4y = 0
64 - 4y = 0
4y = 64
y = 16 m
Put y = 16, in equation 1 to find x:
x = 64 - 2(16) = 32 m
x = 32 m
Therefore the pen has a length of 32 m and width of 16 m.
Answer:
A(max) = 512 m²
Dimensions:
x = 32 m
y = 16 m
Step-by-step explanation:
Area of the rectangular pen:
A(p) = x*y x and y sides of the rectangle. A barn will be used in place of a fence; let´s say that only one x side will be fenced, then the perimeter of the rectangle is:
p = x + 2*y 64 = x * 2*y y = ( 64 - x ) / 2
A(p) = x*y
Area as a function of x
A(x) = x * ( 64 - x )/ 2
A(x) = ( 64*x - x² ) /2
Tacking derivatives on both sides of the equation
A´(x) = ( 64 -2*x )/2
A´(x) = 0 64 - 2*x = 0 2*x = 64 x = 32 m
y = ( 64 - x ) / 2 y = ( 64 - 32 )/2 y = 16 m
A(max) = 32 * 16 = 512 m²
To check if x = 32 will bring a maximum to function A(x)
We take the second derivative
A´´(x) = - x/4 A´´(x) < 0 then x = 32 is a local maximum
There are 12 inches in 1 foot. This is equivalent to 60 inches in 5 feet. Which proportions can be used to represent this? Check all that apply.
Answer:
Step-by-step explanation:
12 inches 60 inches
---------------- is equivalent to ------------------
1 foot 5 feet
This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).
120 inches
------------------ is another equivalent fraction (or ratio).
10 feet
Answer:B and C
Step-by-step explanation:
12/1 = 60/5
1/12 = 5/60
AHHHHH HELP IT'S TIMED!!!!!!!
I'LL MARK BRAINLIEST SO PLEASE HELP!!!!!!
How did find nth term of an arithmetic sequence ?
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer:
Step-by-step explanation:
In ΔFYG & ΔBUH
∠F = ∠B
FY = BU
YG = UH
ΔFYG ≅ ΔBUH { Angle Side Side congruent}
Need help!!!!!!!!!!!!!!!!
Answer:
g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]
Step-by-step explanation:
Looking at the equation of a Exponential Function:
[tex]y= a(b)^{[k(x-h)]}+c[/tex]The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.
I need to know the area in square centimeters of sector ABC?
Answer:
75π / 2
Step-by-step explanation:
a = (∅ / 2π) * πr²
a = (3π/4 / 2π) * π(100)
a = (3/8) * 100π
a = 300/8 * π
a = 75/2 * π
a = 75π / 2
What type of line is PQ? Please help!!
PQ is an angle bisector since it is splitting the angle RPS in half to RPQ and SPQ
A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion
Answer:
[tex]Pr = 0.0479[/tex]
Step-by-step explanation:
Given
[tex]p =23\%[/tex] --- proportion of completed passes
Required
The probability that he has 6 incomplete before he has 1 completion
Let:
[tex]q \to[/tex] proportion of back passes not completed
Using complement rule:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 23\%[/tex]
[tex]q = 1 - 0.23[/tex]
[tex]q = 0.77[/tex]
The event that he has 6 incomplete passes before he completed one is:
q q q q q q p
And the probability is:
[tex]Pr = q * q * q * q * q * q * p[/tex]
[tex]Pr = q^6* p[/tex]
[tex]Pr = 0.77^6* 0.23[/tex]
[tex]Pr = 0.0479[/tex]
Hi, it would be a load of help if someone could explain the working for this question.
Three bricklayers Maric, Hugh and Ethan are cladding a new home. If Maric were to work alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would take him 6 days to complete, and if Ethan were to work by himself, the job would take him 12 days to complete.a If the three men work together, how long will it take them to complete the job
Step-by-step explanation:
the work will be finished in 26 daysplease mark the answer as the brainliest
✨PLEASE HELP ASAP!!!✨
What is the solution to the system of equations?
Answer:
x=4, y=-2
Step-by-step explanation:
Answer:
x = 4
y = - 2
Step-by-step explanation:
3x + 8y = - 4
2x - 4y = 16 Multiply the second equation by 2 and add it to the 1st
3x + 8y = - 4
4x - 8y = 32 Add
7x = 28 Divide by 7
7x/7 = 28/7
x = 4
2x - 4y = 16 Substitute 4 for x
2*4 - 4y = 16 Combine
8 - 4y = 16 Subtract 8 from both sides
-4y = 16 - 8
-4y = 8 Divide by -4
y = 8/-4
y = - 2
If angle 3 is 142°, find angles 1, 2 and 4. Show your work.
PLEASE HELP - 60 POINTS
m<1=m<2 = 38°
m<3= m<4= 142°
Answer:
Angles 1 and 2 are vertically opposite and angles 3 and 4 are vertically opposite and as such the are congruent.
m∠3 = 142° ⇒ m∠4 = m∠3 = 142°Angles 1 and 3 are supplementary and angles 2 and 4 are supplementary and as such sum to 180°.
m∠1 = 180° - 142° = 38°m∠2 = m∠1 = 38°Read what Sasha says. I am y years old. My mother's age is 3 times my age. My brother is 2 years younger than me. My father's age is 4 times my brother's age. The total of our four ages is 116 years.
a) Write an equation to show this.
b) Solve the equation.
c) How old is Sasha's father?
Answer:
please look at the picture l. it is solved there. hope this helps.. do mark me as brainliest
Answer:
a) y + 3y + (y - 2) + 4(y - 2) = 116
b) y = 14
c) 48
Step-by-step explanation:
Sasha says. I am y years old. y
mother's age is 3 times my age 3y
brother is 2 years younger than me y - 2
father's age is 4 times my brother's age 4(y - 2)
-------------------------------
total of our four ages is 116 years.
a) Write an equation to show this.
y + 3y + (y - 2) + 4(y - 2) = 116
b) Solve the equation.
distribute
y + 3y + y - 2 + 4y - 8 = 116
combine like terms
9y - 10 = 116
add 10 to both sides
9y = 126
Divide both sides by 9
y = 14
c) How old is Sasha's father?
4(y - 2)
4(14 - 2)
4(12)
48
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
Answer is b
Step-by-step explanation:
just did it
Help me please I really need it
Answer:
4?
Step-by-step explanation:
So, at from x 0 to x 2, y goes up 4
Answer:
2
Step-by-step explanation:
The rate of change is defined by [tex]\frac{Rise}{Run}[/tex] , [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]. or [tex]\frac{Delta y}{Delta x}[/tex].
For your question, the points are (0,4) and (2,8).
Plugging these points into the formula:
[tex]\frac{8-4}{2-8}[/tex]
After calculations, you would end up with [tex]\frac{4}{2}[/tex] or 2.
pls help me solve this please show how you got the answer
Answer:
19 Black Buttons
Step-by-step explanation:
1/4 of 40= 10
1/5 of 40= 8
10+8=18
18+4=21
So there are 21 white grey and orange.
The rest are black so 40-21=19
So 19 black buttons
Hope this helps
Step-by-step explanation:
40 button
1/4×40=10 white
1/5×40=8 grey
4 orange
Total=22
Then,subtract
40-22
=18 black buttons
1) Marcos deseja comprar uma guitarra. Seu amigo possui um e quer vender a vista por R$850,00. Caso Marcos prefira, pode parcelar em 4 parcelas iguais, com vencimento para 30, 60, 90 e 120 dias, seu amigo aplicará sobre o valor do produto, uma taxa única de 12%. Nessa situação, o custo final da guitarra e o valor de cada parcela são respectivamente: *
1 ponto
a) R$102,00 e R$55,00.
b) R$850,00 e R$212,00
c) R$952,00 e R$238,00
d) R$980,00 e R$245,00.
2) Luiza está em dúvida sobre financiar uma moto nova no valor de R$25.000,00 ou fazer um consórcio. Como o desejo de Luiza em adquirir uma moto é algo que tem a mais de dois anos, ela já dispõe de uma reserva, aplicada na caderneta de poupança, de R$15.000,00. As propostas que lhe foram apresentadas na concessionária são: Financiamento de 36 prestações fixas de R$1.050,00 sem entrada.Financiamento de 36 prestações fixas de R$395,00 com entrada de R$14.000,00.Consórcio de 36 prestações reajustáveis de acordo com a inflação, sendo a primeira parcela no valor de R$800,00, com possibilidade de obter a moto, ao longo do período do consórcio, por meio de sorteio ou lance.Das opções apresentadas a mais vantajosa para Luiza é: *
1 ponto
a) O consórcio, pois, a prestação não é tão alta e ela ainda terá o valor de suas economias para usar em caso de alguma emergência.
b) O financiamento de 36 prestações fixas de R$1.050,00 sem entrada.
c) O financiamento de 36 prestações de R$395,00 fixas com entrada de R$14.000,00.
d) Todas as propostas são equivalentes, Luiza pode escolher qualquer uma delas.
Answer:
1)C
2)C
Step-by-step explanation:
Fiz no Classroom!!!
8. It is the measure of the space inside the solid figure.
b. surface area
C. circumference
d. volume
a. area
Answer:
the answer will be volume
please mark the answer as the brainlliest one
The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.
Which system of equations best represents the situation above?
Answer:
12.5a + 6s = 264.5 and a + s = 30
Step-by-step explanation:
They also intersect at (17, 13)
(17 student tickets, 13 adult tickets)
Good Luck!
Of the 2 226 people on the ship, 703 survived and
1523 died.
What percentage of the passengers survived?
Answer:
32%
Step-by-step explanation:
703/2226=32%
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5%, and he left a 20% tip. If Mr. Rankin puts $120 on the table, how much change did he recieve?
Answer:
8.82
Step-by-step explanation:
subtotal- 88.24
total- 92.65
total with tip-111.18
change- 8.82
Geometry geometry help
Answer:
b = 7.14cm
Step-by-step explanation:
For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.
1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64
2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64
3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....
4. Since we need to round it to two decimal places, b will be 7.14.
in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A′B′ is true?
Answer:
the first one i think
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
What is the average weight of the kittens in the shelter?worth?10points
Answer:
I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.
Step-by-step explanation:
If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)
2 |m - n²| + k³ (if k = -2, m = -7, and n = 4)
(Those aren't 1s, they're the absolute value thingies)
Answer:
Step-by-step explanation:
Hope this helps u !!
Given right triangle ABC, what is the value of tan(A)?
The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.
The value of angle tanA will be calculated as:-
tanA = P / B
tanA = 24 / 10
tanA = 12 / 5
Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
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