Answer:
piece of wire 8 m long
one piece is bent into square:
the square has four equal sides , so at least 4 m has to be cut from the wire to form a square with side=1 m.
the perimeter of the square =2L+2W=2(1)+2(1)=4 m
that is the max. amount can be cut from the wire, since the other part is bent into a circle.
( note if you cut more, the square will take the whole wire)
Perimeter=2L+2W=2(2)=2(2)=8 m and the area=2*2=4 m²)
Area and perimeter are two crucial characteristics of 2D shapes in mathematics.
The perimeter of the square exists 8 m and the area exists 4 m².
What is the perimeter and area of a square?Area and perimeter are two crucial characteristics of 2D shapes in mathematics. The area and perimeter both specify the shape's boundaries and the space they occupy, respectively. Area and perimeter are significant mathematical concepts that are used to daily life. All sizes and shapes, regular or unusual, are covered by this. Each shape's area and perimeter calculations are unique.
Piece of wire is 8 m long and one piece is bent into square:
The square has four equal sides , so at least 4 m has to be cut from the wire to form a square with side = 1 m.
The perimeter of the square = 2L + 2W = 2(1) + 2(1) = 4 m
Which exists the maximum amount that can be cut from the wire, since the other part is bent into a circle.
Perimeter = 2L + 2W =2(2) = 2(2) = 8 m and the area = 2 × 2= 4 m²
To learn more about perimeter and area, refer to:
brainly.com/question/19819849
#SPJ2
what is the vertex of g(x)=3x^2-12x+7? a) (-6,-5) b) (-2,-5) c) (2,-5) d) (6,-5)
Step-by-step explanation:
Answer:
The answer is C.) (2, -5)
If you get a penny a day from your uncle and each day he doubles the amount he gave you on the previous day how much would he give you on the twentieth day
Answer: On the 20th day, he will give $5242.88
Step-by-step explanation: This is a geometric series with elements:
initial value ([tex]a_{0}[/tex]) = 0.01
ratio = 2
At the twentieth day means the 20th term, i.e. n = 20.
To determine that term, use the formula: [tex]a_{n} = a_{0}.r^{n-1}[/tex]
Substituing terms:
[tex]a_{20} = 0.01.2^{20-1}[/tex]
[tex]a_{20} = 0.01.2^{19}[/tex]
[tex]a_{20} = 0.01.524288[/tex]
[tex]a_{20} = 5242.88[/tex]
Then, on the 20th day, your uncle gave to you $5242.88
Decide which chi-square test (goodness-of fit, homogeneity, or independence) would be most appropriate for the given situation.
A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.
Age Group
Under 25 25-45 Over 45 Total
Number of accidents in past 3 years 0 74 90 84 248
1 19 8 12 39
1 7 2 4 13
Total 100 100 100 300
A. Test for Homogeneity.
B. Test for Independence.
C. Test for Goodness-of-fit.
Answer:
C. Test for Goodness-of-fit.
Step-by-step explanation:
C. Test for Goodness-of-fit would be most appropriate for the given situation.
A. Test Of Homogeneity.
The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.
B. Test for Independence.
The chi square is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.
C. Test for Goodness-of-fit.
The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with their estimates and provided that one degree of freedom is deducted for each parameter estimated.
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
Answer:
y=x+2
Step-by-step explanation:
I have included a graph with the equation and both points on it (click/tap on it to see the full picture.)
Answer: y= x+2
Step-by-step explanation:
What the answer to the question
Answer:
6.1
Step-by-step explanation:
use law of cosines
d² = e² + f² - 2ef cos D
d² = 9² + 10² - 2(9)(10) cos 37
d² = 81 + 100 - 143.75
d² = 37.25
d = 6.1
PLEASE HELPPPPPP 65 points
Answer:
x + 2y ≤ 12
x + 2y = 12
Step-by-step explanation:
The teachers can not give more than 12 hours of homework so this is the answer. those are the 2 equations you can use. It under 12 hours or equal to 12 hours.
Answer:
Part A: x + 2y ≤ 12.
Part B: y = -1/2x + 6.
Part C: (0, 0).
Step-by-step explanation:
Part A: The total hours of homework have to be 12 hours, and it has to be either 12 hours or less. So, we have ≤ 12.
They take 1 math course with x hours of homework, so in total, that is 1 * x = x hours of math homework.
They take 2 science courses with y hours of homework, so in total, that is 2 * y = 2y hours of science homework.
The inequality would then be x + 2y ≤ 12.
Part B: x + 2y = 12
2y = -x + 12
y = -1/2x + 6
You can use the Math is Fun: Function Grapher and Calculator to find the graph of the line, shown below.
Part C: Since the inequality uses a ≤ symbol, we know that the shading will be underneath the line. An appropriate point below the line includes (0, 0). We will test out whether it works as a point included in the inequality.
x + 2y ≤ 12
0 + 2 * 0 ≤ 12
0 + 0 ≤ 12
0 ≤ 12
Since this is a true statement, (0, 0) holds true for the inequality.
Hope this helps!
WILL MARK BRAINLIEST
PLEASE HELP
Please help me answer 1 and 2 and explain how you did it so I can understand x
Answer:
poop
Step-by-step explanation:
An education researcher claims that 58% of college students work year-round. In a random sample of 400 college students, 232 say they work year-round. At alphaequals0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.
Answer:
The proportion of college students who work year-round is 58%.
Step-by-step explanation:
The claim made by the education researcher is that 58% of college students work year-round.
A random sample of 400 college students, 232 say they work year-round.
To test the researcher's claim use a one-proportion z-test.
The hypothesis can be defined as follows:
H₀: The proportion of college students who work year-round is 58%, i.e. p = 0.58.
Hₐ: The proportion of college students who work year-round is 58%, i.e. p ≠ 0.58. C
Compute the sample proportion as follows:
[tex]\hat p=\frac{232}{400}=0.58[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0[/tex]
The test statistic value is 0.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
Compute the p-value for the two-tailed test as follows:
[tex]p-value=2\times P(z<0)=2\times 0.5=1[/tex]
*Use a z-table for the probability.
The p-value of the test is 1.
The p-value of the test is very large when compared to the significance level.
The null hypothesis will not be rejected.
Thus, it can be concluded that the proportion of college students who work year-round is 58%.
another scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
Plz help mw 8 am so dumb lol
Answer:
1,1,3,1,1
Step-by-step explanation:
Answer:
0 1
1 1
2 3
3 1
4 1
Step-by-step explanation:
You would just count how many 0 there are in the set and there are 1 and you would put in by 0. For 1 there are 1, for 2 there are 3, for 3 there are 1, and for 4 there are 1.
Find the common ratio of the geometric sequence: 2/3,−2,6,…
Answer:
-3
Step-by-step explanation:
Well to find the common ratio we need to figure out,
what * 2/3 = -2.
To find that we do -2 ÷ 2/3
= -3
To check -2 * -3 should be 6 which it is.
Thus,
the common ratio is -3.
Hope this helps :)
Answer:
-3
Step-by-step explanation:
Common ratio = 2nd term ÷ 1 st term
= -2 ÷ 2/3
= [tex]-2 * \frac{3}{2}\\\\[/tex]
= -3
Please answer this in two minutes
Answer:
54
Step-by-step explanation:
im not that good so u should cheek it first
Answer: 9a + 249
Step-by-step explanation: 9a + 249 and a would be one cause these numbers are independent
Please Help asap!!! Please give explanation
Answer:
The answer is B CPCT
Step-by-step explanation:
In an isosceles triangle ΔHKJ with
Construct KM, a bisector of the base HJ.
to prove:
in ΔKHM and ΔKJM
bisects [Given]
Segment bisectors states that a line or segment which cuts another line segment into two equal parts.
then, by definition of Segment bisector :
[Given]
Reflexive property of congruence that any geometric figure is congruent to itself.
[by definition of Reflexive property of congruence]
SSS(Side-Side-Side) Postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
therefore, by SSS postulates
ΔKHM ΔKJM
By CPCT [Corresponding Part of congruent Triangle]
proved!
hope i helped
-lvr
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?
a
13.33 teaspoons
b
12 teaspoons
c
40 teaspoons
d
108 teaspoons
Answer:
C: 40 teaspoons.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This is a straight proportion question. Many things can be solved with a proportion. This is a good example of what is possible.
Formula
3 teaspoons x
====== =========
36 cookies 480 cookies
Notice that in the end, the units of teaspoons will be left. Multiply both sides by 480
3 teaspoons * 480 cookies
======================= = X
36 cookies
Notice the cookies cancel
3 teaspoons * 480
=============== = x
36
x = 1440/36 teaspoons.
x = 40 teaspoons
answer: C
a sector with a radius of 12cm has an area of 60pi cm what is the central angle in radians
Answer:
5/6π.
Step-by-step explanation:
The following data were obtained from the question:
Radius (r) = 12 cm
Area (A) = 60π cm²
Centre angle in radian (∅) =...?
Since we are to look for the centre angle in radian, the area of the sector will be given by:
A = ½r²∅
Inputting the values of the area, A and radius, r, the centre angle, ∅ can be obtained as follow:
A = ½r²∅
60π = ½ × 12² × ∅
60π = ½ × 144 × ∅
60π = 72 × ∅
Divide both side by 72
∅ = 60π/72
∅ = 5/6π
Therefore, the centre angle measured in radian is 5/6π.
2. The volume of the cylinder correct to 3 significant figures is"
Calculate the volume of the cylinder with a diameter of 10
meters and a height of 8 meters.
Answer:
628 meters²Option D is the correct option.
Step-by-step explanation:
Given,
Diameter ( D ) = 10 meters
Radius ( r ) = 10 ÷ 2 = 5 meters
Height ( h ) = 8 meters
Volume = ?
Now, let's find the volume of the given cylinder:
[tex]\pi \: {r}^{2} h[/tex]
Plug the values
[tex] = 3.14 \times {5}^{2} \times 8[/tex]
Evaluate the power
[tex] = 3.14 \times 25 \times 8[/tex]
Calculate the products
[tex] = 628 \: {m}^{2} [/tex]
Hope this helps...
Best regards!!
What is the slope of the line which passes through (−2, 0) and (0, 4)? (5 points) 2 Undefined −2 0
Answer:
The answer is option 1.
Step-by-step explanation:
You have to apply Gradient formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]let \: (x1 \: , \: y1) \: be \: ( - 2 \: , \: 0)[/tex]
[tex]let \: (x2 \: , \: y2) \: be \: (0 \: , \: 4)[/tex]
[tex]m = \frac{4 - 0}{0 - ( - 2)} [/tex]
[tex]m = \frac{4}{2} [/tex]
[tex]m = 2[/tex]
Answer:
2
Step-by-step explanation:
The formula you use to find the slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
First, you want to substitute
[tex]\frac{4-0}{0--2}[/tex]
Which simplifies to
[tex]\frac{4-0}{0+2}[/tex]
Because two negatives equal a positive
The next step is to add and subtract
[tex]\frac{4}{2}[/tex]
Which simplifies to
[tex]\frac{2}{1}[/tex]
Which equals
2.
Hope this helped, if you have any questions, feel free to ask.
Have a good day! :)
Can someone help me with this one too
Answer:
A. [tex] 3 {}^{9} [/tex]
Step-by-step explanation:
[tex]3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9} [/tex]
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{3^9}[/tex]
Step-by-step explanation:
[tex]3^5 \times 3^4[/tex]
Apply the law of exponents : [tex]a^b \times a^c = a^{b+c}[/tex]
The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.
[tex]3^{5+4}[/tex]
[tex]3^9[/tex]
Simplify each expression. 6mn3 -mn2 + 3mn3 +15mn2??
Answer:
9m(n)^3 +14m(n)^2
Step-by-step explanation:
6m(n)^3 - m(n)^2 + 3m(n)^3 + 15m(n)^2
=> 6m(n)^3 + 3m(n)^3 + 15m(n)^2 - m(n)^2
=> 9m(n)^3 +14m(n)^2
Maria and Jose have a large tomato garden. On day 111 when the tomatoes first ripened, they picked 333 tomatoes. Each day thereafter, as more tomatoes ripened, they doubled the number of tomatoes they picked. Let T be the number of tomatoes picked on day d. Which of the following best explains the relationship between d and T?
Answer:
T = 3(2)ᵈ⁻¹
Step-by-step explanation:
This is a geometric series, where the first term is 3 and the common ratio is 2.
T = 3(2)ᵈ⁻¹
This can be rewritten as:
T = ³/₂ (2)ᵈ
Select the correct answer.
Which relation is a function?
a function will not have any repeating x values...they all have to be different...they can have repeating y values, just not repeating x values.
so ur answer is : { (-1,5), (-2,6), (-3,7) }...u see how there is no repeating x values....this is a function....the other 3 are not.
WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.
Answer:
∠AOB and ∠COD are vertical angles
∠DOE and ∠COD are complementary, adjacent
∠AOB and ∠AOD are supplementary, adjacent.
Step-by-step explanation:
Let's start with ∠AOB and ∠COD.
Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.
∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.
∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.
I hope this helped!
1. A test-tube has a diameter of 3cm. How many turns would a piece of thread of length
90.42cm make round the test tube. (Taken= =).
(3marks)
So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.
Step 1) Find the circumference
C = pi x diameter
C = 3.14 x 3
C = 9.42
Step 2) Divide the length of the string by the circumference
90.42 / 9.42 = 9.5987
The string would make approximately 9.60 turns around the test tube.
Hope this helps!! :)
please Evaluate ( 8/3) to the 2 power A). 8/9 B). 64/9 C). 64/3 D). 55
Answer:
64/9
Step-by-step explanation:
(8/3) ^2
( 8/3) * (8/3)
64/9
64/9 is the answer <3<3 Hope this helps
Does the problem involve permutations or combinations? Do not solve. From 8 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are possible?
Answer: Combination
There are 56 committees possible
============================================
Explanation:
The reason why we know we'll use a combination (instead of a permutation) is because order does not matter. There are no ranking positions on a committee. No one person has a special job compared to the other. The ordering of a committee doesn't matter. All that matters is the entire group itself. For instance, if we had people A,B,C then the committee ABC is the same as CBA and BAC. We would have to introduce a different person, say person D, to get a new committee group.
We have n = 8 people overall to choose from and r = 5 slots to fill. Use the combination formula to get
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_8 C _5 = \frac{8!}{5!*(8-5)!}\\\\_8 C _5 = \frac{8!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6*5!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6}{3!}\\\\_8 C _5 = \frac{8*7*6}{3*2*1}\\\\_8 C _5 = \frac{56*6}{6}\\\\_8 C _5 = 56\\\\[/tex]
We can conclude there are 56 different committees possible.
which platonic solid has eight faces that are equilateral triangles? A, dodecahedron, B, octahedro, C, tetrahedron, D, icosahedron
Answer:
Octahedron Answer B) in your list
Step-by-step explanation:
The octahedron is the three dimensional figure that contains 8 equilateral triangles as its faces. It looks like 2 pyramids with square base and lateral equilateral triangles joined by their square bases
Answer:
C
Step-by-step explanation:
apeeeex
y=tan(x-30) period and amplitude
Answer:
No amplitude
Period is pi
Step-by-step explanation:
Can someone plz answer the question ASAP? Thank you. multiple choice answer yes or no
Answer:yes
Step-by-step explanation:
Find the length of BC round answer to the nearest hundredth
Step-by-step explanation:
Use law of sines.
16 / sin 39° = BC / sin 120°
BC ≈ 22.02
Greetings from Brasil...
Here we cant use calculator..... It seems that in the USA the use of a scientific calculator is allowed
Let's use Senos Law in Any Triangle
(AC/SEN B) = (BC/SEN A)
16/SEN 39 = BC/SEN 120 sen 120 = sen 60 = √3/2
16/0,63 = BC/(√3/2)
0,63BC = 16√3/2
BC = 8√3/0,63
BC ≈ 22If a circle has a diameter with endpoints of (-3, 0) and (5, 4) then the equation of the circle is?
Answer:
(x - 1)² + (y - 2)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given the endpoints, then the centre is at the midpoint
C = [ [tex]\frac{-3+5}{2}[/tex], [tex]\frac{0+4}{2}[/tex] ] = (1, 2 )
The radius is the distance from the centre to either of the 2 endpoints.
Use the distance formula to find r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ )= (- 3, 0)
r = [tex]\sqrt{(-3-1)^2+(0-2)^2}[/tex]
= [tex]\sqrt{(-4)^2+(-2)^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex]
Thus equation of circle is
(x - 1)² + (y - 2)² = ([tex]\sqrt{20}[/tex] )² , that is
(x - 1)² + (y - 2)² = 20