Answer:
C) [tex]628\:\text{cm}^2[/tex]
Step-by-step explanation:
[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]
An equation for the line
Answer:
y=-1/3x
Step-by-step explanation:
if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom
please please help. Will give brainliest
Solve for x, y, and z. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
what is the surface area of the sphere
Answer:The answer iis 1810.3cm^2
Step-by-step explanation:
Question :-
What is the surface area of the sphere that has a radius of 12 cm?Answer :-
The surface area of the sphere is 1809 cm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]
Therefore :-
The surface area of the sphere is 1809 cm².[tex]\\[/tex]
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Have a great day! <33
What is 16 1/5 - 5 2/3?
Answer:
10.533
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Calculate the surface area of the polyhedra
Find the sum of all positive integers less than 200 that are divisible by 7.
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
Tata's age is 10 years younger than Kaka's age.
Three years from now, the sum of their ages
is 40 years. Tata's current age is
year.
a.12 b.15. c.22. d.25
help me -!
Answer:
c. 22
Step-by-step explanation:
Let x = Tata's age and y = Kaka's age.
x - 10 = y
x+3 + y+3 = 40
Now, we can substitute in x - 10 for y.
x + 3 + (x - 10) + 3 = 40
so 2x = 44
x = 22
Therefore, Tata's current age is 22.
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP pls
Answer:
28.27
Step-by-step explanation: used to do acellus too
what is the lowest common multiple of 8,12,9
Answer:
LCM of 8, 9, and 12 is 72.
Step-by-step explanation:
The LCM of three non-zero integers, a(8), b(9), and c(12), is the smallest positive integer m(72) that is divisible by a(8), b(9), and c(12) without any remainder.
appreciate it if someone will follow me.
Answer:
72
Step-by-step explanation:
To find the Lowest Common Multiple (LCM), prime factorize the included terms, and multiply the factors of each number of the highest power together.
Prime factorizing
8 = 2³12 = 2² x 39 = 3²LCM (8, 12, 9)
= 2³ x 3²
= 8 x 9
= 72
Maria bought an open-based pop-up net to put over the plates at the picnic to keep the bugs off of the food. a square pyramid. the square base is 16 inches by 16 inches and the pyramid has a height of 15 inches. how much space is there inside each empty pop-up net? 544 inches cubed 800 inches cubed 1,280 inches cubed 1,920 inches cubed
Based on the height of the pyramid and the dimensions of the square base, the space that Maria has inside the pop-up net is 1,280 in³.
How much space does Maria have?This can be found as the volume of a pyramid which is:
= (Length x Width x Height) / 3
Solving gives:
= (16 x 16 x 15) / 3
= 3,840 / 3
= 1,280 in³
Find out more on the volume of a pyramid at https://brainly.com/question/3722054.
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Find the volume of the cylinder (3.14 for pi)
Answer:
The volume of the cylinder is equal to 70.65 cm³.
General Formulas and Concepts:
Geometry
Volume Formula [Cylinder]: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify given variables from diagram.
r = 3 cm
h = 2.5 cm
Step 2: Find Volume
[Volume Formula - Cylinder] Substitute in variables:∴ we found the volume of the cylinder to be 70.65 cm³.
---
Topic: Geometry
An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression from the airplane to the runway
Answer:
Step-by-step explanation:
AB = altitude = 2.7 miles
BC = 8.3 miles
[tex]\sf tan \ \theta = \dfrac{opposite \ side \ of \ \theta}{adjacent \ side \ of \ \theta}\\\\Tan \ \theta = \dfrac{AB}{BC}=\dfrac{2.7}{8.3}\\\\Tan \ \theta = 0.33\\\\\theta = tan^{-1} \ 0.33[/tex]
[tex]\boxed{\theta = 18.3}[/tex]
Find the volume of the square pyramid.
A. 15 yd
B. 25 yd
C. 35 yd
D. 45 yd
Solve and graph the inequality.
6 + x > 15
Answer:
x > 9
The graph is a half-plane. (All the points with their abscissa (their value on the x-axis) greater than 9
Step-by-step explanation:
6 +x > 15
x > 15 - 6
x > 9
Answer:
X>9
Step-by-step explanation:
the other guy has the graph
Simplify each monomial rational expression 20x^2 divided by 10x^2
Answer:
2x to the 4th power
Step-by-step explanation:
Hope this helps
A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?
The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.
What is the probability of determining that exactly four students were born on a weekday?To determine the probability, we need to first find the probability of having a student being born on a weekday.
[tex]=\mathbf{\dfrac{5}{7}}[/tex]
The probability of having 4 students born on a weekday is:
[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]
Since we have 4 students, we also need to find the probability of the students that are not being born, which is:
[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]
Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.
Therefore, we have the probability as:
[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]
P = 0.2125
Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.
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What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.emergencyyy
Write the given expression in the form f(x)= a(x– h)? +k. Identify the vertex.
f(x) = 2x² - 16x-5
Answer:
vertex = (4, - 37 )
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = 2x² - 16x - 5 ← factor 2 out of the first 2 terms
= 2(x² - 8x) - 5
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
f(x) = 2(x² + 2(- 4)x + 16 - 16) - 5
= 2(x - 4)² - 32 - 5
= 2(x - 4)² - 37 ← in vertex form
with vertex = (4, - 37 )
Help asap thank you will choose branliest
Answer:
maybe option 2 is the correct answer
Answer:
1 and 3/8 or C
Step-by-step explanation:
the longer pencil is 5 and 2/8 and the length of the shorter pencil is 3 and 7/8
5 2/8 - 3 7/8= 11/8 or 1 and 3/8
I hope this helps!!!
I need help with this thank you!
Answer: m<AOB is 60 degrees.
Step-by-step explanation: If BCD is 30 degrees, it intercepts the arc BA, and therefore, any angle that intercepts an arc is half of the arc it intercepts. Thus, AOB is 60 degrees.
what does the 0.3in the highlighted cell mean?
Answer:
it will be 30% in the highlighted cell
Step-by-step explanation:
hope this helps
HELP PLEAZE
ILL GIVE BRAINLIEST
Answer:
153.86 in²
Step-by-step explanation:
The area of a circle is:
A = π r²
Radius is just half of the diameter so r = 7.
Substitute 3.14 for π.
Restate the equation:
A = 3.14 x 7² = 3.14 x 49
A = 153.86
PLEASE HELP ME ASAP :(
Answer:
Step-by-step explanation:
Refer the attachment
Answer:
752.5 in³
Step-by-step explanation:
Volume of composite solidRectangular prism:
l = 10 in ; w = 7 in ; h = 8 in
[tex]\boxed{\text{Volume of rectangular prism=l*w*h}}[/tex]
= 10 * 7 * 8
= 560 in³
Half cylinder:
Diameter of the cylinder will be equal to the width of the rectangular prism.
r = 7/2 = 3.5 inches ; h = 10 in
[tex]\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}[/tex]
[tex]\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3[/tex]
Volume of composite figure = 560 - 192.5
= 752.5 in³
if x-2y=10 and x≠0, what is the value of 2x/y+5
Answer: 4
Step-by-step explanation:
x - 2y =10
x = 10 + 2y
[tex]\frac{2x)}{y + 5}[/tex]
[tex]\frac{2(10+2y)}{y+5}[/tex]
[tex]\frac{20+4y}{y+5}[/tex]
[tex]\frac{4(5+y)}{y+5}[/tex] ... cancel like terms (y + 5)
= 4
Question 8
Suppose that f and g are functions which are inverse of each other. What happens when f is
composed to g or vice versa?
O The composition is always x.
O The composition is always-x.
O The composition is always 1.
O The composition is always 0.
The composition of the function and its inverse function is always one. Then the correct option is C.
What is the inverse of a function?Suppose that the given function will be
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
Suppose that f and g are functions that are inverse of each other.
When f is composed of g or vice versa. Then the composition will be
We know that the composition of the function and its inverse function is always one. Then we get
When f is composed of g or vice versa. Then the composition will be 1.
Thus, the correct option is C.
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#82 will give brainliest to best answer!
Answer:
[tex]\frac{6}{k-6}[/tex]
Step-by-step explanation:
First, we can factor all of the following equations to turn that weird, huge looking thing into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] ÷ [tex]\frac{(k-6)^2}{k(k-6)}[/tex] × [tex]\frac{6(k-10)}{k(k + 6)}[/tex]. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] × [tex]\frac{k(k-6)}{(k-6)^2}[/tex] × [tex]\frac{6(k-10)}{k(k+6)}[/tex]. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into [tex]\frac{6}{k-6}[/tex] which is our final answer, as it cannot be simplified further.
Hope this helped! :)
Lara took a total of 63 quizzes over the course of 7 weeks. How many weeks of school will Lara have to attend this quarter before she will have taken a total of 90 quizzes? Solve using unit rates.
weeks
Answer:
63 quizzes= 7 weeks
90 quizzes= x weeks
63x = (7)(90)
x= (7)(90)/63
x= 10 weeks
Which expression represents the quotient of (x^2-4)/(x-7)/(3x+6)/(x^2-6x+7)
Answer:
last option (x-2)(x+1)/3
Step-by-step explanation:
(x^2-4)/(x-7) ÷ (3x+6)/(x^2-6x+7)
(x^2-4)/(x-7) * (x^2-6x+7)/(3x+6)
(x+2)(x-2)/(x-7) * (x-7)(x+1)/3(x+2)
(x-2)/1 * (x+1)/3
(x-2)(x+1)/3
Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA
Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality
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You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
Transitive Property of Equality
Step-by-step explanation: