Reminder :
( x + a )^2 + ( y + b )^2 = ( R )^2
Center : O = ( - a , - b )
R = radius
_____________________________
( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2
Center : O = ( - 8 , 4 )
radius = 9
Diameter = 2 × radius = 18
How are formulas for the volume of a cylinder, pyramid, and cone derived?
Answer:
Calculus-based analytic geometry makes the cylinder, pyramid, and cone from "solids of revolution". From there, they can measure the length or radius of the base, and then the height. This is true even if the solid of revolution is along the X axis intead of the Y axis. Then someone "figured out" the formula, just like they did with a cube, and proved it.
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
Answer:
Step-by-step explanation:
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?
Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]$x$[/tex].
Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
A. 7
B. 8
C. 18
D. 42
Answer:
The answer is C. 18
Step-by-step explanation:
4(5)+10-12=18
Hope this helps!
What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, which numbers you multiplied to find the volume. You may want to use the formula for volume to find the solution.
Answer:
[tex]15,000\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by [tex]V=s^2\cdot h[/tex], where [tex]s[/tex] is the base length and [tex]h[/tex] is the height. Substituting given values, we have: [tex]V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}[/tex]
The volume of a trapezoidal prism is given by [tex]V=\frac{b_1+b_2}{2}\cdot l\cdot h[/tex], where [tex]b_1[/tex] and [tex]b_2[/tex] are bases of the trapezoid, [tex]l[/tex] is the length of the height of the trapezoid and [tex]h[/tex] is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ([tex]\frac{b_1+b_2}{2}[/tex]) multiplied by the trapezoid's height ([tex]l[/tex]).
Substituting given values, we get:
[tex]V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}[/tex]
Therefore, the total volume of the composite figure is [tex]5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}[/tex] (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
[tex]V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark[/tex]
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
If Noah scored 10 points, how many points did Andre score?
Type the answer in the box below.
Answer:
14
Step-by-step explanation:
Diego scored 5 points (half of Noah's 10)
which is 9 less than 14!
Answer:
Diego scored 14 points
x = 14
Hope this helps!
find the gradient of line ab
Which statements are true about ABCD? Select all that apply.
who is smart ???
12-12+1+1+3-18=
(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)
Find the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
Perform the operation.
(4x^2+9x-7)-(-7x^2+5x-1)
[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]
Answer:
11x^2+4x-6
Step-by-step explanation:
[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]
Help please, it’s multiple choice!
Answer:
60°
Step-by-step explanation:
Answer:
A) 60
Step-by-step explanation:
Each Angle in a hexagon equals 120
X is supplementary to one of those angels, therefore 180-120 = 60
There are 100 students surveyed. 32 are taking Calcus, 45 are talking Spanish, 18 are taking both Calcus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish. A)77%. B)45% C)95%. D)59%
Answer:
C. 95%
Step-by-step explanation:
Because you have to add all percents
Plz mark brainliest
Subtract 7 from the product 3 times f
Answer:
3f-7
Step-by-step explanation:
help mee please its math
Answer:
m<D = 34
Step-by-step explanation:
Exterior angles thm:
3x - 2 + 68 = 9x - 6
3x + 66 = 9x - 6
3x - 9x = -6 - 66
-6x = -72
x = 12
<D:
3x - 2
3(12) - 2
36 - 2
34
Using the figure at the left, complete the extended similarity statement:
ΔUVW ∼ Δ _______ ∼ Δ __________
Answer:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
Step-by-step explanation:
The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:
[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]
Hence, the complete similarity statement is:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
Classify the quadrilateral. Find the missing angle measure(s).
Answer:
the answer is in the picture above
Step-by-step explanation:
and so is the solution pls give branliest if you wish
enter the value of 5 times (1 + 3.2).
a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly
Answer:
1.37
Step-by-step explanation:
1
Graph the system of linear inequalities
if a(b)^x-c=d then x=?
Answer:
a
Step-by-step explanation:
a(b)^x=d+c
a(b)^x ÷ a=d+c ÷a(b)^x=d+c ÷alet d+c÷a =u(b)^x=ulogb^u=xlogb^d+c ÷a=x it really helpfullRodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help
Answer:
Loss of $.35
Step-by-step explanation:
Income per t-shirt = 1302/120 = 10.85
Expense per t-shirt = 1344/120 = 11.20
Loss per t-shirt = 11.20 - 10.85 = .35
45 + 9/4 + 4 + 12/20
45 + 2.25 + 4 + 0.6 =
45 + 6.85 =
51.85
Who would I solve this?
Which value is equivalent to √-25
simultaneous equation
2x+y=7
x-y=2
answer?
Answer:
{x,y} = {3,1}
Step-by-step explanation:
visit this for more info;
https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/
Victor just bought a new television for $738.00. He made a down payment of $78.00 and will pay monthly payments of $30.00 until it is paid off.
How many months will Victor be paying? (Assume that Victor pays no interest.
Answer:
22
Step-by-step explanation:
738.00 - 78.00 = 660
Am subtracting because he made a down payment so I can get the remaining of the money.
Let x = # of months
You use the remaining of the money to divide by 30 because of his monthly payments.
660 / 30x =
x = 22
Divide by 30 to isolate the variable x.
Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet
Answer:
carl and ben aint human chief
Step-by-step explanation:
Answer:
1 11/12
because they ain't human chief ant answer
HELP WILL GIVE BRAINLY PLZ DONT SKIP
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390
Answer:
C. 0.305
Step-by-step explanation:
100 - 39 = 61
.5 x .61 = .305
30.5%
Please help me with my work