Answers
Answer:
Step-by-step explanation:
If the diameter of the semicircle is 6, then its radius is 3. The formula we use for this is the area of a circle divided in half, or:
[tex]A=\frac{\pi r^2}{2}[/tex] using 3.14 for pi, as instructed.
[tex]A=\frac{(3.14)(3)^2}{2}[/tex] and
[tex]A=\frac{(3.14)(9)}{2}[/tex] and
[tex]A=\frac{28.26}{2}[/tex] so
A = 14.13 square cm
We know that, Area of circle is given by : π × radius²
Semicircle is exactly half of a circle. So, Area of semicircle should be half of the area of a circle.
[tex]\implies \sf{Area \ of \ a \ Semicircle = \dfrac{\pi \times (radius)^2}{2}}[/tex]
Given : Diameter of the semicircle is 6 cm
We know that, Radius is half of the Diameter
So, Radius of the Semicircle : 3 cm
[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{\pi \times (3)^2}{2}}[/tex]
[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{3.14 \times 9}{2}}[/tex]
[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = (3.14 \times 4.5)}[/tex]
[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = 14.13 \ square \ centimeters}[/tex]
Related Questions
2y+1 = y+5
Find the value y
Answers
Step-by-step explanation:
the value of Y is 4 please mark the brainliest
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answers
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
Read more about rate at:
https://brainly.com/question/4931057
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It takes 4 people 2 days to build a patio. How long will it take 2 people, working at the same rate, to buid the patio?
Answers
Answer:
4 days
Step-by-step explanation:
The patio takes 4 people 2 days, so that is 4×2. To get this for 2 people, it's 2×4. This means it takes 4 days.
Think about it, for half the people, it should take double the time.
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answers
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
PLEASE HELP !!! DUE IN 30 MINUETS !
Answers
Answer:
Step-by-step explanation:
You can write the equation 35+3x=180 because the two angles togther equal 180. Then isolate x:
35+3x=180
35+3x-35=180-35
3x=145
3x/3=145/3
x= 145/3
Answer:
x = 45
Step-by-step explanation:
A straight line always equals 180. The have that 180 angle split in two in the diagram. One equals 45 degrees and the other is 3x. You need to know x. So first you must find what 3 and x together is. To do that, we start with our given knowledge. 180 degrees and 45 degrees. 45 degrees and 3x must equal 180 when added together. Therefore, we can do 180 - 45 to figure out what 3 and x together is. We end up with 135 degrees. Now we have this 3x = 135. We need to isolate x. So we divide by 3. 135 divided by 3 is 45. That is our answer. x = 45 degrees.
I hope this helps :)
Find the value of a and b when x = 10
a =
5x2
2
2x2(x - 5)
b=
10x
helpp
Answers
Which of the following is the graph of y = sin(0.5x)?
D. Edge 2021 :)
Answers
Answer:
You did not include the graphs, but I can explain how the graph is and so you can recognize it.
1) for x = 0, y = sin(0) = 0, so the origin (0,0) is part of the graph.
2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.
3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π
That means that the values repeat every 4π interval (which is the same that 720°)
4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).
That means that the function crosses the x-axis at
..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...
5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).
Now you have plenty information to identify the graph.
I also include a graph of the function in the attached pdf file.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLS HELPSSSPSPSPSSPSP What is the congruence correspondence, if any, that will prove the given triangles congruent?
A)ASA
B)AAS
C)HL
D)SAS
Answers
Answer:
D
since we know two sides and one angle
hope it helps!
Step-by-step explanation:
. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answers
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
Evaluate the expression when g=7 and h=32.
H+35 over g
Answers
Answer:
67/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
g = 7
h = 32
(h + 35)/g
Step 2: Evaluate
Substitute in variables: (32 + 35)/7(Parenthesis) Add: 67/7Answer:
37
Step-by-step explanation:
h+35/g
Let g=7 and h =32
32+35/7
Divide first
32 +5
Then add
37
Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
Answers
Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
Learn more about distance between two points here:
brainly.com/question/16410393
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Is 3:5 and 5:7 equivalent
Ratios
Answers
Answer:
no its not equal
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
Answers
find the greatest common factor of 15x^6 and 33x^4y^5
Answers
Answer:
3x^4
Step-by-step explanation:
Answer:
495x^10 y^5
Step-by-step explanation:
If p= 2q^3-1, what is the value of q when p is 13
a) ∛6
b) ∛7
c) ∛14/2
d) 4393
PLS HELP QUICKLY OMG TYSM
Answers
Answer:
b) ∛7
Step-by-step explanation:
If p= 2q^3 - 1, what is the value of q when p is 13
Hence:
13 = 2q³ - 1
We add 1 to both sides
13 + 1 = 2q³ - 1 + 1
14 = 2q³
We divide both sides by 2
14/2 = 2q³/2
7 = q³
q³ = 7
We take the cube root of both sides
∛q³ = ∛7
q = ∛7
Option b is the correct option
What is the total surface area of this rectangular prism?
Answers
Answer:
keep going you got it
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
A=2(wl+hl+hw)=
2·(4·11+3·11+3·4)=178
Express as decimal: Five hundred thirty four point two thousandths
Answers
Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
(repost cuz the last didn’t load) please help ‼️
Answers
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
Answers
Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
What is the product of (2p + 7)(3p2 + 4p – 3)?
Answers
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answers
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
What is the product?
(4y − 3)(2y2 + 3y − 5)
Answers
=(4y+−3)(2y^2+3y+−5)
=(4y)(2y^2)+(4y)(3y)+(4y)(−5)+(−3)
(2y^2)+(−3)(3y)+(−3)(−5)
=8y^3+12y^2-20y-6y^2-9y+15
=8y^3+6y^2-29y+15
No links pls. I also need an explanation.
Answers
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answers
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
Anyone know the answer??? Not sure how to solve with only 1/3 for pythag (I am used to having 2/3 for pythag
Answers
Answer:
≈16.22
Step-by-step explanation:
AC-AD=DC
35^2-10^2=1125
√1125=15√5=AC
To find AD, you will need to use the 30, 60, 90 triangle rule.
Because of this rule, AD will be 10√3
15√5-10√3≈16.22
hope that helps
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answers
Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
Answers
Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?
Answers
Answer:
Step-by-step explanation:
P=200000
P x .15 =x (30000)
2x=y (60000)
P + y= (200000+60000) 260000
Answer:
The equation is :
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
Step-by-step explanation:
Let population in 2 years be A
Current population be P = 200,000
Rate of increase, r = 15% = 0.15
Time, t = 2years
Therefore,
[tex]A= P(1 + r)^t[/tex]
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
[tex]=264500[/tex]
Population after 2 years will be 264,500
Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
Answers
======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
how do you multiply 4.56 x 1,000
Answers
Answer:
bye adding it 1000 times = 4560
Step-by-step explanation:
