Step-by-step explanation:
If it's a straight line the use formula
[tex]y = mx + c[/tex]
m= gradient of line
c = y-intercept
we know that y-intercept is 4 so coordinate is
(0,4)
Equation also passes (2,10)
Use both coordinate to find gradient
m= vertical distance / horizontal distance
= (10-4) / (2-0)
= 3
y = 3x + 4
ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
simply the expression below
Answer:
A
Step-by-step explanation:
Answer:
D. (w-3)/(w-7)
Step-by-step explanation:
(w+3)(w-3)/(w-7)(w+3)
Hence, removing (w+3),
(w-3)/(w-7)
Feel free to mark this as brainliest :D
Need help with it I don’t know how to do it
What is 90 inches converted into centimetres?
Answer:
228.9
Step-by-step explanation:
Answer:
228.6
Step-by-step explanation:
Multiply the inches by 2.54
90 x 2.54 = 228.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?
Answer:
11 hours
Step-by-step explanation:
If y is inversely proportional to (tan x) and y = 2
when x = 30°, find the value of y when this value
of x is doubled.
Answer:
When something is inversely proportional it can be solved by using the equation:
y = k/x
where k is the constant.
So using this we can plug in x and y to find the value of k.
3 = k/4.
Next we isolate k and find that k = 12. Now we use this to find the value of y when x = 8. Plug in x and you get y = 12/8 or y = 3/2 or 1.5.
Another way to solve this is to look at how the value of x changes. When the value of x goes up, the value of y goes down.
In other words, when x is multiplied by some number, y is divided by that number. In this equation we can see that x is multiplied by 2 to go from 4 to 8.
Thus, y must be divided by 2.
Thus, y = 3/2 or 1.5.
Answer:
Step-by-step explanation:
y is inversely proportional to tan x means
[tex]y \ \alpha \ \frac{1}{tan x}\\\\y = k \times \frac{1}{tanx}[/tex]
Given y = 2 when x =30° . So we will find k.
[tex]y =k \times \frac{1}{tanx } \\\\2 = k \times \frac{1}{tan 30}\\\\k = 2 \times tan 30 = 2 \times \frac{1}{\sqrt{3}} = \frac{2}{\sqrt{3} }[/tex]
Now x is doubled, x = 60°, find y
[tex]y = k \times \frac{1}{tanx}\\[/tex]
[tex]= \frac{2}{\sqrt{3}} \times \frac{1}{tan 60}\\\\= \frac{2}{\sqrt{3}} \times \sqrt{3}\\\\=2[/tex]
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard deviation? The formula for the sample standard deviation is s = 2(x-7)? . 1 Use the table to help you. (x - 2)2 1 Sum= Round your answer to the nearest tenth.
Answer:
the answer is 2.9
Step-by-step explanation:
.
Which choice is equivalent to the product below when x is greater than or equal to 0
Answer: I believe it is C.
Step-by-step explanation: Because if you take 4 x 20 = 80
If I am wrong sorry.
Can someone help me
help please for my math!!!!!!!!!!!
Answer:
perimeter for rectangle: (x-2+x+2)×2=4x
perimeter for triangle : 2x-8+2x-8+x+6
=5x-10
The question said both geometry has same perimeter,so we have equation :
4x=5x-10
=>x= 10
put x in triangle's perimeter: 2×10-8+2×10-8+10+6
= 40
Step-by-step explanation:
the answer is C, hope you understand it
Se desea construir un vaso de papel en forma de cono circular recto que tenga un volumen de 25πcm3
. Determine las dimensiones del vaso que requiere menos papel. Cuales deben ser si el volumen
es de 1 litro?
Answer:
Para un vaso de [tex]V = 25\pi\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 2.321\,cm[/tex] y [tex]h \approx 4.642\,cm[/tex].
Para un vaso de [tex]V = 1000\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 5.419\,cm[/tex] y [tex]h \approx 10.839\,cm[/tex].
Step-by-step explanation:
El vaso se puede modelar como un cilindro recto. El enunciado pregunta por las dimensiones del vaso tal que su área superficial ([tex]A_{s}[/tex]), en centímetros cuadrados, sea mínima para el volumen dado ([tex]V[/tex]), en centímetros cúbicos. Las ecuaciones de volumen y área superficial son, respectivamente:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r\cdot h[/tex] (2)
De (1):
[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex]
En (2):
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot \left(\frac{V}{\pi\cdot r} \right)[/tex]
[tex]A_{s} = 2\cdot \left(\pi\cdot r^{2}+V\cdot r^{-1} \right)[/tex]
Asumamos que [tex]V[/tex] es constante, la primera y segunda derivadas de la función son, respectivamente:
[tex]A'_{s} = 2\cdot (2\pi\cdot r -V\cdot r^{-2})[/tex]
[tex]A'_{s} = 4\pi\cdot r - 2\cdot V\cdot r^{-2}[/tex] (3)
[tex]A''_{s} = 4\pi + 4\cdot V \cdot r^{-3}[/tex] (4)
Si igualamos [tex]A'_{s}[/tex] a cero, entonces hallamos los siguientes puntos críticos:
[tex]4\pi\cdot r - 2\cdot V\cdot r^{-2} = 0[/tex]
[tex]4\pi\cdot r = 2\cdot V\cdot r^{-2}[/tex]
[tex]4\pi\cdot r^{3} = 2\cdot V[/tex]
[tex]r^{3} = \frac{V}{2\pi}[/tex]
[tex]r = \sqrt[3]{\frac{V}{2\pi} }[/tex] (5)
Ahora, si aplicamos este valor a (4), tenemos que:
[tex]A_{s}'' = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }[/tex]
[tex]A''_{s} = 4\pi + 8\pi[/tex]
[tex]A_{s}'' = 12\pi[/tex] (6)
De acuerdo con este resultado, el valor crítico está asociado al área superficial mínima. Ahora, la altura se calcula a partir de (5) y (1):
[tex]h = \frac{V}{\pi\cdot \left(\frac{V}{2\pi} \right)^{2/3} }[/tex]
[tex]h = \frac{2^{2/3}\cdot \pi^{2/3}\cdot V}{\pi\cdot V^{2/3}}[/tex]
[tex]h = \frac{2^{2/3}\cdot V^{1/3}}{\pi^{1/3}}[/tex]
Si [tex]V = 25\pi\,cm^{3}[/tex], entonces las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{25\pi\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 2.321\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (25\pi\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 4.642\,cm[/tex]
Un litro equivale a 1000 centímetros cúbicos, las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{1000\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 5.419\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (1000\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 10.839\,cm[/tex]
solve the following equation 4 x + 10 = 66
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
3x+y=15 create a word problem
Answer:
---
Step-by-step explanation:
3 adults and 1 child go to a park. The admission fee for adults is x, and the fee for children is y. They spent a total of 15 dollars. Solve for x and y.
---
hope it helps
sorry if it doesn't. I'm the person who solves the problems, not creates them
Jasmine's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 2
child tickets for a total of $33. The school took in $46 on the second day by selling 1 senior citizen tickets and 3 child tickets What is the
cost of buying 5 senior citizen tickets and 7 child tickets?
Answer:
$126
Step-by-step explanation:
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,
[tex]\implies Arc = radius \times \theta [/tex]
Now substitute respective values , from the given data ,
[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]
This is our required answer!
Plz help me well mark brainliest if correct
all of the above which is e
2) Use the law of sines to find the length of SR
sin(A)/a=sin(B)/b=sin(C)/c
Answer:
take 28 degree as reference angle
using sine angle
sin28=p/h
0.46=10/h
0.46h=10
h=10/0.46
h=21.73
therefore hypotenuse =21.73
again using sine rule
take 25 degree as reference angle
sin 25=p/h
0.42=SR/21.73
0.42*21.73=SR
9.12=SR
9.1=SR
Step-by-step explanation:
convert 4/5 into percent
The area of Sophie‘s herb garden is 1/8 The area of her vegetable garden. The area of her herb garden is 6 square feet. What is the area of her vegetable garden
Answer:
see below
Step-by-step explanation: 5 25 14 02
herb garden is 1/8 The area of her vegetable garden
herb garden is 6 square feet
vegetable garden = ???
herb garden / vegetable garden = 1/8 solve for vegetable garden
herb garden × 8 = vegetable garden
6 ft² × 8 = __________ ft²
What is the area of the figure below?
Help please just right the ratio for all
In a dark room, the pupil of a human eye grows to a diameter of about 3.2 x 10 inches. It
bright light, the pupil shrinks to a diameter of about 8 x 10 inches. How much greater is
the pupil's diameter in a dark room than in bright light?
Answer: the answer is 48 inches
Step-by-step explanation:
A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94
Which equation is part of the same family as 5×4 = 20
Answer:
4x5=20
20 divided by 5 = 4
Step-by-step explanation:
Answer:
20 ÷ 4 = 5 and 20 ÷ 5 = 4 also 4 x 5 = 20
Step-by-step explanation:
factorize (2u+3u)(u+v)-2u+3v
Answer:
Step-by-step explanation:
(2u+3u)(u+v)-2u+3v
=2u(u+v)+3u(u+v)-2u+3v
=2u^2+2uv+3u^2+3uv-2u+3v
=5u^2+5uv-2u+3v
PLEASE HELP!!!!!!!!!!
Answer:
second
Step-by-step explanation:
[tex]\frac{2x}{5} +\frac{1x}{5} +\frac{5}{8} -\frac{2}{8} = \frac{3x}{5} +\frac{3}{8}[/tex]
Answer:
3/5 x + 3/8
remove parentheses:
2/5x + 5/8 + 1/5x - 1/4
simplify terms:
3/5x + 5/8 - 1/4
make 1/4 have a common denominator to 15/8 by multiplying 2/2.
3/5x + 5-2/8 =
3/5x + 3/8
What are the main properties of a parallelogram?
use the parallelogram (ABEF) to help you
Answer:
It must be number 2.
1 and 3 number is wrong as parallelogram don't need have right angle
Please help ;-;im stuck
Answer:
999
Step-by-step explanation:
223 → 200 + 20 + 3
374 → 300 + 70 + 4
402 → 400 + 0 + 2
900 + 90 + 9
standard form = 999
Use the graph of the logarithmic function f(x) to answer the question.
What is the x- intercept?
Answer:
(0,-2)
Step-by-step explanation: