Answer:
3+3×1/4×3
3+3/12
3×12+3/12
39/12
The figure is made up of two semicircles. Find the perimeter of the shaded region using 3 . 143.14 for \mathrm{\pi }π.
Answer:
69.66 cm
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Circumference of a circle}\\\\ $C=\pi d$\\\\where $d$ is the diameter\end{minipage}}[/tex]
From inspection of the given diagram:
Diameter of the larger circle = 5 + 14 + 4 = 24 cmDiameter of the smaller circle = 14 cmThe perimeter of a two-dimensional shape is the distance all the way around the outside.
Therefore, the perimeter of the given shaded region is the sum of half the circumference of the larger circle, half the circumference of the smaller circle, and the two 5 cm ends.
[tex]\begin{aligned}\sf \implies Perimeter & = \sf \dfrac{1}{2} \pi (24) + \dfrac{1}{2} \pi (14) + 5 + 5\\& = \sf \dfrac{1}{2}(3.14)(24) + \dfrac{1}{2}(3.14)(14) +10\\& =\sf 37.68+ 21.98+10\\& =\sf 69.66\:\:cm\end{aligned}[/tex]
Therefore, the perimeter is 69.66 cm.
The perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
To find the perimeter of the shaded region, we need to find the total length of all the boundaries.
The shaded region consists of two semicircles, so we can start by finding the circumference of each semicircle.
The formula for the circumference of a circle is C = 2πr.
Since we have two semicircles, we need to find the radius for each and then add the two circumferences together to get the total perimeter.
Let's say the radius of each semicircle is r.
Using the given value of π as 3.14,
the circumference of one semicircle is 2 * 3.14 * r = 6.28r.
Therefore, the total perimeter is 6.28r + 6.28r = 12.56r.
So, the perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
Learn more about Perimeter of shaded region here:
https://brainly.com/question/12528811
#SPJ3
the sides of a triangle are of lengths 13, 14, and 15. the altitudes of the triangle meet at point h
The ratio HD:HA is 5/11 when the sides of a triangle are of lengths 13, 14, and 15.
What do you mean by heron's formula?When the lengths of all three sides are known, the geometry formula Heron's formula, which bears Hero of Alexandria's name, determines the area of a triangle. There is no need to first determine the angles or other distances in the triangle, unlike other triangle area formulas. Heron of Alexandria is credited with developing the Heron's formula, which determines the area of a triangle in terms of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: Area is equal to the square root of (a + b + c)/2, where s is half the perimeter.
By Heron's Formula, the area of this triangle is 84 Thus the height perpendicular to AB has a length of 11.2, and by the Pythagorean Theorem, AE and EB have lengths 6.6 and 8.4, respectively. These lengths tell us that C is at.
The slope of BC is (0-11.2)/(15-6.6)=-4/3, and the slope of AD is 3/4 by taking the negative reciprocal of -4/3. Therefore, the equation of line AD can best be represented by y=(3/4) x.
We next find the intersection of CE and AD . We automatically know the x -value; it is just 6.6 because CE is a straight line hitting (6.6,0). Therefore, the y -value is at (3/4)* 6.6=4.95. Therefore, the intersection between CE and AD is at (6.6,4.95) .
We also need to find the intersection between BC and AD . To do that, we know that the line of AD is represented as y=3/4x, and the slope of line BC is -4/3. We just need to find line BC 's y-intercept. So far, we have y=-4/3x+b, where b is a real y-intercept. We know that B is located at (15,0), so we plug that into the equation and yield b=20. Therefore, the intersection between the two lines is
(3/4)x=-(4/3)x+20
⇒9x=-16x+240
⇒25x=240
⇒x=9.6
Now y=(3/4)*x=(3/4)*9.6=7.2
⇒y=7.2
After that, we use the distance formula: HA has a length of
√(6.6-0)²+(4.95-0)²=√(1089/25)+(9801/400)
=√(1089*16+9801)/400
=√27225/400=√1089/16=33/4=8.25
and HD has a length of
√(9.6-6.6)²+(7.2-4.95)²=√(3)²+(36/5-99/20)²
=√(9)+(81/16)
=√225/16=15/4=3.75
So the ratio os HD:HA is
⇒3.75/8.25=15/33=5/11
To know more about Heron's formula, click here:
https://brainly.com/question/20934807
#SPJ4
Solve each proportion.
(z-1)/3 = 8/(z+1)
[tex]\dfrac{z-1}3 = \dfrac8{z+1}[/tex]
Eliminate the denominators.
[tex]3(z+1)\cdot\dfrac{z-1}3 = 3(z+1)\cdot\dfrac8{z+1}[/tex]
[tex]z^2 - 1 = 24[/tex]
Solve for [tex]z[/tex].
[tex]z^2 = 25[/tex]
[tex]\boxed{z = \pm5}[/tex]
3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.
Answer: about 47 haircuts
Compare the digits in the hundredths place of 4.241 and 4.25.
4 is less than 5, so 4.241 is less than 4.25.
Given the numbers are 4.241 and 4.25.
Because 4.241 and 4.25 have the same units and tenth digit (4.2 = 4.2)
so we need to compare the hundredths place that is, 0.041 with 0.05.
A decimal's distance from one whole increases as it increases in size. A decimal is further away from one whole the smaller it is. The amount of digits in each decimal should be your primary point of focus. Each of them contains two digits, allowing for immediate comparison.
The number following the decimal point is called the hundredths place. Round up the number of hundredths if the third number after the decimal is 5 or above. Keep the hundredths number constant if the number in the third position after the decimal point is 4 or less.
0.041 < 0.05
hence we get 4.241 < 4.25
Learn more about Decimals here:
brainly.com/question/703656
#SPJ9
What is the area of ABC?
I need help asap!
c. probability that the mother in this sample had a premature baby given that the mother admitted to smoking
Probability that the mother in this sample had a premature baby given that the mother admitted to smoking is 50 percent.
What is probability?Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 demonstrates difficulty of the occasion and 1 shows conviction.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The higher the likelihood of an occasion, the more probable it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
To learn more about probability, visit:
https://brainly.com/question/28215213
#SPJ4
330/36
4 The students in an art class have blue cloth that is 60 inches long, gold cloth that is
48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth
into pieces of equal length for a project.
What is the greatest possible length of the pieces without having any cloth left
over? Explain your reasoning.
How many pieces of each color cloth will they have?
Answer this please!!! Im struggling
Answer: 0.35
Step-by-step explanation:
A and B agree to share the cost of a $29 pizza based on how much each ate. If B ate the amount that A ate, how much should each pay?
Answer:
The answer is $14.5 dollars
Step-by-step explanation:
So since B ate the amount A ate, this means they each ate half of the $29 pizza.
Steps:
29 / 2 = 14.5
The answer is $14.5 dollars
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
29/2 = 14.5
Because they both ate half, so paid for the half
Step-by-step explanation:
brainiest, please
Help asap: use the number line to find the coordinate of p that represents the weighted average of the set of points such as point c has a weight of 3, and point e has a weight of 5
The coordinates weighted average is 6.
How is the weight average calculated?The whole query is as follows:
The weights of the coordinates 3 and 8 are 2 and 3, respectively. Additionally, we must determine the weighted average.
The parameters are as follows:
Three has a weight of two.
The weight of coordinate 8 is 3.
Next, the weight average is determined as follows:
Weight average is equal to the product of the weight and the coordinates.
We thus have:
Average weight: (3 * 2 + 8 * 3)/(2 + 3)
Assess the quotient.
Average weight = 6
Consequently, the coordinates' weighted average is 6
To know more about Average weight, visit :-
https://brainly.com/question/28334973
#SPJ4
what is the solution of 3z > 6
Answer:
Step-by-step explanation:
divide both sides by 3
3z>6
3z/3>6/3
z>2
Martha was so hungry that she devoured 7/24 of the pizza,
while Susie, also super-hungry gobbled up 1/4 of the pizza.
Debbie ate her pizza slowly, but ended up consuming 1/6 of the pizza. Which girl ate the least amount of pizza?
Answer:
Debbie
Step-by-step explanation:
1/4 = 0.25
7/24 = 0.291666..
1/6 = 0.1666..
1/6th is the least
there are 30 cars in my building's parking lot. all of the cars are red or white, and a car can have either 2 doors or 4 doors. $\frac{1}{3}$ of them are red, $50\%$ of them are 4-door, and 8 of them are 2-door and white. how many of the cars are 4-door and red?
There are 10 cars with 4 doors and red color.
What is the Trial and error method?A fundamental method of solving problems is trial and error. It is distinguished by repeated, varied attempts that are continued until success or the agent gives up. The problem keeps repeating itself until the correct answer is found. This method of problem-solving is known as the trial and error method.Given:
Cars = 30All of the cars are red or white, and a car can have either 2 doors or 4 doors.1/3 of them are red and 50% of them are 4-door.8 of them are 2-door and white.Cars with four doors and red =?So,
1/3 of 30 is 10.Red cars = 10 ...(1)As given that 50% of the cars are 4-door.S, 50% of 30 is 15.We can conclude that 15 cars have 4 doors. ...(2)Taking both conclusions (1) and (2) we can say that there are 10 cars with 4 doors of red color.Therefore, there are 10 cars with 4 doors and red color.
Know more about Trial and error here:
https://brainly.com/question/5902303
#SPJ4
English only and correct answers only thank you
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
23.04 x 1021
23.04 x 1022
2.304 x 1021
2.304 x 1022
Answer: 23.04*10²¹.
Step-by-step explanation:
4.5x10¹²*5.12x10⁹=(4,5*5.12)*(10¹²*10⁹)=23.04*10¹²⁺⁹=23.04*10²¹.
. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.
(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white
(b)14 outcomes.
What is sample space?There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.
To know more about Sample space visit :-
https://brainly.in/question/4283792
#SPJ4
Combine like terms to find the perimeter of the figure.
Answer:
(29x +4) cm
Step-by-step explanation:
The perimeter of a figure is the sum of the lengths of all its sides.
Perimeter of figure
= 5x +5 +x +8x -3 +7x +2 +8x (sum up the lengths)
= 5x +x +8x +7x +8x +5 -3 +2 (group like terms together)
= (5 +1 +8 +7 +8)x +4
= (29x +4) cm
To learn more about perimeter of figures, do check out: https://brainly.com/question/26615114
Find the sum of 1/3+1/8
Answer:
11/24
Step-by-step explanation:
1/3 + 1/8
find the common denominator
that would be 24
now cross multiply
8/24+ 3/24= 11/24
Answer:11/24
Step-by-step explanation:
When adding fractions, you need to find the lcm of the denominator.
In this case, the lcm for 3 and 8 is 24 so you would do:
1*8
3*8
and
1*3
8*3
so you would get
8/24+3/24
which equals 11/24
[tex]\sqrt{15}[/tex]
Answer:
3.87298335
Step-by-step explanation:
Answer:
3.872
Step-by-step explanation:
Bobby bought movie tickets for 6 people
and popcorn for $19. If he spent a total of
$71.50, how much was each movie
ticket?
Help please
Answer:
$8.75
Step-by-step explanation:
y = 6x + 19
71.50 = 6x + 19 Subtract 19 from both sides of the equation
52.50 = 6x Divide both sides by 6
8.75 = x
If:
JL = 26,
KL=3x + 7, and
JK = 8x + 8,
Find KL.
J
K
L
Answer:
KL = 10
Step-by-step explanation:
Given:
[tex]JL=26[/tex]
[tex]KL=3x+7[/tex]
[tex]JK=8x+8[/tex]
From inspection of the given diagram:
[tex]JK+KL=JL[/tex]
Substitute the given values into the found equation and solve for x:
[tex]\implies 8x+8+3x+7=26[/tex]
[tex]\implies 11x+15=26[/tex]
[tex]\implies 11x+15-15=26-15[/tex]
[tex]\implies 11x=11[/tex]
[tex]\implies \dfrac{11x}{11}=\dfrac{11}{11}[/tex]
[tex]\implies x=1[/tex]
Substitute the found value of x into the expression for KL:
[tex]\implies KL=3(1)+7[/tex]
[tex]\implies KL=3+7[/tex]
[tex]\implies KL=10[/tex]
Formula we use,
→ JK + KL = JL
Now the value of x will be,
→ (8x + 8) + (3x + 7) = 26
→ 11x + 15 = 26
→ 11x = 26 - 15
→ x = 11/11
→ [ x = 1 ]
Then the value of KL will be,
→ 3x + 7
→ (3 × 1) + 7
→ 3 + 7 = 10
Hence, the value of KL is 10.
A school's K-Pop club is learning a new dance to a Korean pop song. They pay the dance
teacher from their bank account, which showed three changes this week.
First, a $60 withdrawal was represented using the number - 60.
• The second change was the opposite of the first.
• The third change was the opposite of the second.
What number represents the third change made to the account?
●
Type the number in the box.
The number which represents the third change made to the account according to.tge task content is; -60.
What number represents the third change made to the account?According to the task content, the second change was the opposite of the first, -60.
Hence, the second change is; +60 which is the additive inverse.
Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.
Read more on additive inverse;
https://brainly.com/question/1570723
#SPJ1
I got this answer wrong on my review, I didn't take 8th grade math so i'm kind of lost.
Answer: B
Step-by-step explanation:
I think it's B because if you solve the x and numbers by themselves then you get 4x-2
2x+3x = 5x
5x-1x= 4x
-5-2 = -7
-7+5= -2
4x-2
$274+$400=___________
Answer:
$674
Step-by-step explanation: hope you have a good day
Answer:674
Step-by-step explanation: 400+200=600 70+00= 70 4+0=4
Write an equation and solve: y decreased by 23 is 52.9
Answer:
y = 75.9
Step-by-step explanation:
Write an equation and solve: y decreased by 23 is 52.9
y - 23 = 52.9
y = 52.9 + 23
y = 75.9
------------------------
check
75.9 - 23 = 52.9
52.9 = 52.9
the answer is good
the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
Learn more about the perimeter of the square here:
https://brainly.com/question/11495285
#SPJ4
Brianna is keeping track of how much money she saves.
She has $60 saved and saves another $15 each week.
How long will it take Brianna to save enough to buy a pair
of $180 sneakers? Show or explain your thinking.
determine whether the points lie on a straight line. (a) a(2, 6, 1), b(3, 8, 0), c(1, 4, 2) yes, they do lie on a straight line. no, they do not. (b) d(0, −4, 4), e(1, −1, 3), f(3, 2, 2)
If the points lie on straight line then, the points should be collinear.
How do you know if the 3 points are on the line?We enter the values and check to see whether we receive a true statement, such as "10 Equals 10," to determine whether a point (x, y) is on the graph of a line. The point is not on the line if we obtain a result other than 6 = 4, as it does not meet the equation. Two lines will coincide if they have a same point and have the same slope. To put it another way, if A, B, and C are three points in the XY plane, they will all lie on a line, or three points will be collinear, but only if AB's slope and BC's slope are both equal.
(a) ab=kac
(3-2,8-6,0-1)=k(1-2,4-6,2-1)
⇒(1,2,-1)=k(-1,-2,1)=-k(1,2,-1) these are the points lie on stright line.
To know more about straight line, click here:
https://brainly.com/question/20492082
#SPJ4
6 divied by 6.48 how to slove it
Answer:
0.93
Step-by-step explanation:
6/6.48 = 0.92592592592592592592592592592593
Answer:0.92
Step-by-step explanation:
Calculator
Select one of the factors of x2y3 − 11x2y + 6y2 − 66.
(x2y + 6)
(x2y − 6)
(y2 + 11)
(y − 3)
Step-by-step explanation:
The factors of the equation x2y3 - 11x2y + 6y2 - 66 can be found by taking out the common terms.
x2y3 - 11x2y + 6y2 - 66
Let us take out the common from the first two terms.
⇒ x2y(y2 - 11)------>(1)
Take out common from the last two terms.
⇒ + 6 (y2 - 11)------>(2)
By combining these two, we get
x2y(y2 - 11) + 6(y2 - 11)
⇒ (x2y + 6)(y2 - 11)
Answer:
(x^2y + 6)
Step-by-step explanation:
I got it right on the test.