how do I find the surface area and volume of any shape?
Answer:
Step-by-step explanation:For any shape it’s always true that for volume
V
the surface area is: =2‾‾‾√3
for some constant depending on the shape. So to work out the surface area from the volume we just need to know the value of for the shape in the question.
For a cube for example we have that =6, assuming consistent units i.e.: unit 2 for area and unit 3
3
for volume.
More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement
d
of the shape then we can always write these formula in the form:
=13
=12
for constants constants 1 and 1
. Then we have:
=1‾‾‾√3
=1(1)2‾‾‾‾‾‾√3
=121‾‾‾√32‾‾‾√3
and therefore:
=121‾‾‾√3
For example for a sphere we have that that =42 and =433 and therefore:
=4(43)2‾‾‾‾‾‾√3
=36‾‾‾‾√3
So if a particular sphere has volume =8 then we can calculate its surface area to be:
=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2
Devi’s dog weighs 4 times as much as her cat. Her dog also weighs 13 pounds more than the cat. How much does each pet weight?
Answer: The cat's weight is 4.33 pounds
• The dog's weight is 17.32 pounds.
Step-by-step explanation:
Let the weight of the cat be represented by a.
Devi’s dog weighs 4 times as much as her cat. This can be written as:
= 4 × a
= 4a
Her dog also weighs 13 pounds more than the cat. This can be written as:
= a + 13
We then equate both equations. This will be:
4a = a + 13
4a - a = 13
3a = 13
a = 13/3
a = 4.33 pounds
The cats weight is 4.33 pounds
Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds
A car comes to a stop, it slows from 25 m/s in 2. 8 sec. Find the acceleration of the car
Answer:
input the formula of acceleration and the the answer will be
8.928571429
Find the expected value of the random variable with the given probability distribution.
Answer:
The formula is given as E(X)=μ=∑xP(x) Step-by-step explanation:
multiply each value of the random variable by its probability and add the products.
Translate point (2, -1) three units to the left. Write the new coordinate as
an ordered pair. May someone help ASAP !
Answer:
(-1,-1)
Step-by-step explanation:
Because you're translating something 3 units to the left, then you are moving along the x-axis, so you will subtract 3 from 2.
i need help ASAP!!!!!!
Answer:
A)Deductive
B)Deductive
C)Inductive
D) Deductive
Step-by-step explanation:
$43 dinner ; 18% gratuity
Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle. He measured the height of one of the trapezoids to be 7 inches, and the width of the rectangle to be 24 inches. Find the area of the octagon.
Answer:
482.84
Step-by-step explanation:
[tex]A = 2 ( 1 +\sqrt{2} ) a^{2} = 2 multiply ( 1 +\sqrt{2} ) multiply 10^{2} = 482.84271[/tex]
Hope it helps!!!Brainliest pls!!!
I am really sorry but just think that the "MULTIPLY" is when you just have to multiply the number and I can't change it.
How many solutions will this equation have? y = 2x^2 + 7x - 15
Which expressions are equivalent to 78 • 7? Select all that apply.
Answer:
B & C are the correct answers
[tex]b. \: \: \frac{7 {}^{18} }{7 {}^{9} } \\ c. \: \: (7 {}^{3} ) {}^{3} \\ e. \: \: 7 {}^{4} .7 {}^{5} \\ \\ correct \: answers[/tex]
Thank you ☺️☺️
Can someone help me 5-13 please?
Answer: see below
Step-by-step explanation:
#5 - 7: Domain are the x-values and Range are the y-values.
5) Coordinates are: (-2, 3), (0, 3), (2, 3), (4, 3)
Domain: x = {3} Range: y = {-2, 0, 2, 4}
6) All points on the curve between -4 and 2 (x-values) & 3 and 6 (y-values). Endpoints are included.
Domain: -4 ≤ x ≤ 2 Range: 3 ≤ y ≤ 6
7) All points on the curve between 2 and 7 (x-values) & 1 and 6 (y-values). Endpoints are not included.
Domain: 2 < x < 7 Range: 1 < y < 6
#8 - 11: Choose points for x. Plug them into the equation to solve for y.
To graph the equation, plot the points and connect the dots.
8) x y = x
-2 -2
-1 -1
0 0
1 1
2 2
9) x y = 2x+1
-2 2(-2)+1 = -3
-1 2(-1)+1 = -1
0 2(-0)+1 = 1
1 2(1)+1 = 3
2 2(2)+1 = 5
Note:
You are allowed a maximum of 3 questions. I answered 5 questions. If you need help with the rest of your homework, you will need to create another post.
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
[tex] \sqrt[3]{27 \div \pi} [/tex]
r= 2.048in
round off to 2.05in
PROOF
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= 2.05 inches
In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°
For what value of x is line m parallel to line n?
18
5
44
3
Answer:
The answer is 5
Step-by-step explanation:
I took the test :)
Answer 5
Step-by-step explanation:
In 5 days, Nicole ran a total of 10 miles. She ran the same amount each day. How much did she run each day?
Answer:
She ran 2 miles each day
Step-by-step explanation:
Given: x ∥ y w is a transversal of x and y. Prove: ∠4 ≅ ∠5 Complete the two-column proof.
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
Answer:
A: vertical angles
B: corresponding angles theorem
C: transitive property
Step-by-step explanation:
Percy paid $24. 10 for a basketball. The price of the basketball was $22. 99. What was the sales tax rate?.
Answer:
$3.11
Step-by-step explanation:
you have to subtract 24.10 from 22.99
Answer:
First let's find the increase of the original price to it's new price;
24.10 - 22.99 = 1.11, there was a $1.11 increase.
Though, we need to find the percentage, using the formula:-
Changed price 100
____________ x _____ (100%)
Original amount 1
Our changed price was 1.11, and our original price was 22.99.
1.11 100
_____ x _____ = 4.828 which rounds to 4.83%
22.99 1
Is a  circle not a parallelogram?
Answer:
A parrelogram is a shape with four sides (and something else I forgot). That doesn't matter because a circle doesn't even have sides! Therefore, it's not a parallelogram.
what is the slope of a line perpendicular to the line whose equation is x+y=-1
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $12.50. They spend a total of $16.85. Write an equation to represent the problem. Find the cost of one large drink.
Answer:
Hm, okay.
Step-by-step explanation:
So, if the pizza cost $12.50, and the total money spent is $16.85, we must first subtract our money spent on pizza from the total amount spent.
$16.85 - $12.50 = $4.35
So, that means that John and his two friends spent $4.35 on 3 large drinks. But how do we figure out how much each individual drink cost?
We divide $4.35 by 3.
$4.35 / 3 = $1.45.
So, the amount of money spent on one large drink was $1.45.
3 Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason "Cannot be determined." b ∆BLK ≅ △____ By rule ____
Answer:
it cannot be determined not enough info
-4m + 2n = 6
-4m + n = 8
solve for and x and y steps
I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.
-4m+2n=6
-4m+n=8
We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.
First equation - second equation
n=-2
Then substitude back in to solve for m
-4m+(-2)=8
4m=10
m=5/2
Therefore the answer is
n= - 2
m= 5/2
I hope this helped and if you have any questions please ask.
In a class of 30 pupils, if 16 are males. Calculate the ratio of females : total
A bus driver marries a dental assistant. What is their
combined income each week?
Helppppp please
Answer:
it should be 1571.19
Step-by-step explanation:
If you combine the you just need to add them using the amount under weekly 584+987.19= 1571.19 weekly
please help please please
Answer:
f(-2) = 8
Step-by-step explanation:
Graph y = f(x)
Find value of f(-2)
when f(x) = f(-2)
Here we are looking for the value of y when x = -2
From the graph when x = -2 then y = 8
Therefore, f(-2) = 8
What is the solution for the equation
(10-5y|= 20
Answer:
y = -2
Step-by-step explanation:
To find the answer, use property of inequality:
10-5y=20
Undo the +10, so - 10 to the other side
so,
-5y= 10, or -5xY.
so divide by -5 from both sides:
10/-5=-2
so, the remain of the equation is:
y = -2
which is the answer
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + 4y = 8
Answer:
[tex]y=-\frac{3}{2}+2[/tex]
Step-by-step explanation:
First subtract 6 from both sides:
[tex]6x+4y=8[/tex]
-6 -6
New equation becomes:
[tex]4y-6=8[/tex]
Divide all by 4:
4 -6 8
--- --- ---
4 4 4
[tex]y=-\frac{3}{2}+2[/tex]
Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]
Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
The given circle having two external tangents, according to circle
theorem, have the following values;
r = 3m∠1 = 82°m∠2 = 49°x = 82°How can the radial length and angles be found?r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
r = 3y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
m∠1 = 82°According to circle theorems, angle at the center is twice angle
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
m∠2 = 49°The length of the chord subtended by the arc x is equal to the length of
the chord subtended by 89°, which gives;
x = 82°Learn more about circle theorems applications here:
https://brainly.com/question/16879446
MULTIPLE CHOICE QUESTION
The REFLECTION of a point should ALWAYS be the SAME DISTANCE away from the opposite side of the line of reflection.
FALSE or TRUE?
Answer:
True
Step-by-step explanation:
A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.
need help pls and how was yall day
f=1.8c+32
Answer:
author link
annaking0830
Ambitious
14 answers
987 people helped
Answer:
0.5f - 17.77
Step-by-step explanation:
im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)
p.s i do khan too!!
Answer:
Answer:
author link
annaking0830
Ambitious
14 answers
987 people helped
Answer:
0.5f - 17.77
Step-by-step explanation:
im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)
Step-by-step explanation:
On a certain hot summer's day, 444 people used the public swimming pool. The daily prices are $1. 75 for children and $2. 50 for adults. The receipts for admission totaled $1065. 75. How many children and how many adults swam at the public pool that day
Answer:
the total receipt for admission is 1065.75? or just 1065? please tell me so I can help you T_T