Answer:
Width = [tex]\frac{3}{4}[/tex] units
Perimeter = 11 [tex]\frac{1}{2}[/tex] units
Step-by-step explanation:
Area can be found with;
A = L * W
We will plug in the known values and solve.
A = L * W
3 [tex]\frac{3}{4}[/tex] = 5 * W
(3 [tex]\frac{3}{4}[/tex] ) / 5 = (5 * W) / 5
(3 [tex]\frac{3}{4}[/tex] ) / 5 = W
[tex]\frac{3}{4}[/tex] units = W
Perimeter can be found with;
P = 2L + 2W
We will plug in the known values and solve.
P = 2L + 2W
P = 2(5) + 2([tex]\frac{3}{4}[/tex])
P = 10 + 1 [tex]\frac{1}{2}[/tex]
P = 11 [tex]\frac{1}{2}[/tex] units
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank. a. StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction b. StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction c. StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction d. StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction
The ratio of corresponding sides for the similar triangles and reduced to the lowest terms is; 3/4
How to find corresponding sides of a triangle?From the triangles in the attached file, we know that;
If triangle ABC is similar to triangle PQR, then the ratio of the corresponding sides are proportional.
Thus;
PQ/AB = QR/BC
Thus;
12/16 = 18/24 = 3/4
Thus, the ratio of corresponding sides is 3/4
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Answer:
It should be letter C.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
Step-by-step explanation:
This is going to be for edge 2022-2023
chord properties of a circles
Answer:
In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.
Step-by-step explanation:
[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]
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Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
→ Answer :-[tex]\sf{x \: = \: 2}[/tex]
→ Explanation :-[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]
[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]
[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]
[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{4x \: = \: 8}[/tex]
[tex]\sf{Divide \: both \: sides \: by \: 4:}[/tex]
[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{x \: = \: 2}[/tex]
Hope It Helps! ~
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[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Answer:
x = 2
Step-by-step explanation:
[tex]\sf 5(2x+1)=6x+13[/tex]
Let's apply the distributive property to multiply 5 by 2x+1.
[tex]\sf 10x+5=6x+13[/tex]
Subtract 6x from both sides.
[tex]\sf 10x+5-6x=13[/tex]
Combine like terms.
[tex]\sf 4x+5=13[/tex]
Subtract 5 from both sides.
[tex]\sf 4x=13-5[/tex]
[tex]\sf 4x=8[/tex]
Divide both sides by 4.
[tex]\sf x =\cfrac{8}{4} [/tex]
[tex]\sf x = 2[/tex]
Solve but show all steps
x - 1/2=3
1/3y=50
Answer: x = 3 1/2, y = 150
Step-by-step explanation:
x-1/2 = 3
add 1/2 to both sides
x -1/2 (+1/2) = 3+1/2
x = 3 1/2
1/3y = 50
multiply by reciprical on both sides
3(1/3y) = 50(3)
y = 150
Greg is building a fence around his garden. For every 4 feet of fencing, the cost is $36.
Complete the table below showing the length of the fence and the cost. Length of fencing and cost
plssssssss helpppppp
Lakima has a spinner divided into 5 equal sections that are labeled 1 though 5. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 6 times and records the results in this list
{2, 4, 1, 5, 3, 4)
Drag and drop the answers into the boxes to correctly complete the sentences.
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
Using probability concepts, it is found that:
The theoretical probability of spinning an odd number is equal to 3/5 = 0.6.The experimental probability of spinning an odd number is equal to 1/2 = 0.5.Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A theoretical probability is calculated without considering experiments, and we have that 3 out of the 5 numbers(1,3,5) and are odd, hence the theoretical probability is given by:
pT = 3/5 = 0.6.
For an experimental probability, we consider the experiments. Of the 6 spins, 3 resulted in an odd number, hence the experimental probability is given by:
p = 3/6 = 1/2 = 0.5.
Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.
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Answer:
3/5
1/2
greater than
Step-by-step explanation: I took the test
help me please please
Answer:
answer is (1) 6yd 68 meter (2) 8dy 190 meter (3) 6yd 127 meter (4) 10 yd s
Equation of a circle given a diameter
1-Diameter (2,4) (-3,5)
2-Diameter (2,4) (6,2)
Answer:
harvard
Step-by-step explanation:
they are really nice and smart circles
HELP please! John has saved $ 3000 each year in his IRA for 25 years. At age 72, the
fair market value of his IRA was $ 321900.65. Using the uniform lifetime
table in this figure. What is his required minimum distribution.
A) $7500.00
B) $12574.24
C) $13290.76
D) $15309.87
Answer: I'm guessing C but im not sure
Step-by-step explanation:
4) A movie poster was 3 inches wide and 9 inches tall. What is the perimeter of the poster?
pls help out and explain. 20 points!!
Answer:
First option is the correct answer
y = 4x + 5
Step-by-step explanation:
Hope it helps you in your learning process.
Can anyone pls help me?
By the given criterias ABC is a right angle triangle at B
Base(BC) = 16cmHypotenuse(AC) = 20 cmBy Pythagoras theorem ,
AB(Perpendicular)= √20²-16² cm
AB = 12 cm
Given :- ∆DEF ∼ ∆ABC
where Angle B and Angle E are 90°
Therefore , SinF = SinC
SinC = AB/AC ; 12/20 = 3/5Hence , SinF is 3/5
What is a possible value for the missing term of the geometric sequence?
43, ___, 688, ...
Answer:
172
Step-by-step explanation:
The formula for the missing term of a geometric sequence is the square root of x times y.
your friend evaluates the power (-3)^2 is your friend correct ? explain
The evaluation of the expression (-3)² is incorrect the correct answer will be (-3)²=+9.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
Here we have an expression in the question:-
= (-3)² = (-3 x -3 ) = 9
So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.
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is 9999 in the sequence n²+2n?
Answer:
No
Step-by-step explanation:
To find out, all we need to do is plug in 9999 into the sequence.
[tex]9999 = n^2 + 2n[/tex]
By completing the square, we get [tex](n+1)^2 = 1001[/tex]. 1001 is not a perfect square, which means that 9999 is not in the sequence.
hope this helped! :)
SOLVE THE LINEAR EQUATION...
PLEASE HELP!!
Answer:
0
Step-by-step explanation:
please help me........asap
Answer:
If I had to guess I would choose "a group of employees determined by a random number generator"
If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated as normal since the ______________ is _____________
The answers are Sample population and the Sample Size is Large Enough.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.
Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.
Thus, the answers are Sample population and the Sample Size is Large Enough.
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a number cube, with sides labeled 1-6, is rolled. Which is the theoretical probability of rolling a number less than 6, in simplest form? SHOW YOUR WORK
Step-by-step explanation:
There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.
Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quotient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x [tex]10^{3}[/tex]
2.1 x [tex]10^{-3}[/tex]
3.7
What are the simplified mathematical expressions ?Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x [tex]10^{7}[/tex]) . (9.1 x [tex]10^{-8}[/tex])
= (8.6 x 9.1) x [tex]10^{7 - 8}[/tex]
= 78.26 x[tex]10^{-1}[/tex]
= 7.8 x 10
(6.9 x [tex]10^{5}[/tex]) . (4.8 x [tex]10^{-3}[/tex])
= 33.12 x [tex]10^{5 - 3}[/tex]
3.3 x [tex]10^{3}[/tex]
(3.7 x [tex]10^{2}[/tex]) . (4.6 x [tex]10^{-3}[/tex]) ÷ (1.4 x [tex]10^{-6}[/tex]) . (5.7 x [tex]10^{8}[/tex])
= 1.7 x 10 ÷ 8 x10²
0.21 x [tex]10^{-2}[/tex]
2.1 x [tex]10^{-3}[/tex]
(3.1 x [tex]10^{5}[/tex]) . (5.3 x [tex]10^{-9}[/tex]) ÷ (7.3 x [tex]10^{2}[/tex]) . (6.1 x [tex]10^{-7}[/tex]) = 3.7
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n box B there are 4 tablets more than in box A. Draw an expression for the number of tablets in box
Answer:
B=A+4
Step-by-step explanation:
since there are 4 more in box B you just have to add 4 to box A to get the number is box B
Please help will give brainliest!
Area of a Polygon
In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.
When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.
You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.
Part A
Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.
Step-by-step explanation:
the area of a polygon is defined as the area that is enclosed by the boundary of the polygon / area =n*a*ri/2
I need help asap please help
Answer:
Figure L
Step-by-step explanation:
Answer:
Figure M
Step-by-step explanation:
I will help you on that because I passed Iready with a 100 just send me the questions
Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125
Answer:
a
Step-by-step explanation:
Answer:
A. 65
Step-by-step explanation:
Have a blessed day :)
I'm supposed to find the volume of a cube but the only number I am given is 6. Do I multiply 6 three times?
I hate math with a burning passion
========================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
A) False. The three dots at the end of the given list of numbers tells us the pattern goes on forever. This sequence has infinitely many terms. B) True. The first four terms are -3, 5, -7, 9, showing that the fourth term is indeed 9.C) False. The fifth term is -11, and not 2. If it said f(2) = 5, then the statement would be true because the 2nd term is 5.D) True. The domain is {1, 2, 3, 4, ...} which are indexes for the term numbers. For example, the input n = 4 is part of the domain to get us to f(4) = 9. In other words, the input 4 leads to the output 9.E) True. The notation (4,9) is another way of saying "the 4th term is 9", which is equivalent to the notation f(4) = 9.A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.
Answer:
[tex]A = 15\pi[/tex]
Step-by-step explanation:
1. 150 degrees is 5/12 of a circle
2. Find area but divide by 5/12:
[tex]A = \frac{5}{12} \pi (6)^2[/tex]
3. Solve
[tex]A = \frac{5}{12} \pi (36)[/tex]
4. Simplify
[tex]A = 15\pi[/tex]
Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27
Answer:
C) f(x) = 2(x+2)² - 3
Explanation:
Given function:
f(x) = 2x² + 8x +5
Vertex form: y = a(x - h)² + kFor this function:
⇒ y = 2x² + 8x + 5
⇒ y = 2(x² + 4x) + 5
⇒ y = 2(x + 2)² + 5 - 2(2)²
⇒ y = 2(x + 2)² - 3
please help my last semester is ending in 4 days
(edmentum + 70 points)
Part 1
f(x) + g(x)
3x+2 + 4x
(3x+4x) + 2
7x+2
Therefore, f(x)+g(x) = 7x+2
================================================
Part 2
f(x) = 3x+2
f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)
f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x
f( g(x) ) = 12x + 2
================================================
Part 3
Let's say x is the number of minutes.
Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.
---------
As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.
When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.
Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.
Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.
This is one example of many where function composition is useful.