The are of the square is 98m^2. How long is the diagonal?

Answer: y=16

Step-by-step explanation:

Hope this helps

Answer:

1. Linear pair

2. Adjacent

3. Complementary

4. Adjacent

Step-by-step explanation:

Problem 1:

Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.

Problem 2:

Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.

Problem 3:

Angle a + angle b = 90°

Therefore, they are COMPLEMENTARY angles.

Problem 4:

angles a and b share the same side and a common vertex. They are ADJACENT angles.

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

The area of right Δ ACD is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 50.5, b = CD and h = AC , then

[tex]\frac{1}{2}[/tex] × 14 × AC = 50.5

7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × BC × AC × sin36°

  = 0.5 × 19 × 7.214 × sin36°

  ≈ 40.3 cm² ( to 3 sf )

9514 1404 393

Answer:

  64.2 cm²

Step-by-step explanation:

The length AC is found from ...

  Area of ACD = (1/2)(AC)(CD)

  80.5 cm² = (1/2)(AC)(14 cm)

  AC = 80.5 cm²/(7 cm) ≈ 11.5 cm

__

The area of ∆ABC is ...

  Area ABC = (1/2)(CB)(CA)sin(C)

  = (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

The Venn diagram shows that the number of students who offer accounting is 30.

It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.

The number of students who offer accounting is:

= 25 + 5

= 30

The number of students who offer Economics is:

= 10 + 5

= 15

The number of students who offer only one subject will be:

= 25 + 10

= 35

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Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

Answer:

44%

0.44 is 44% of 1.

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

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Answer:

$73,500

Step-by-step explanation:

Answer:

no because it has a different starting and ending point

Step-by-step explanation:

hope it helps!

Answer:

$24

no, it is 48% off normal price

Step-by-step explanation:

clearance price = normal price - value of the 40% discount

value of the 40% discount = 0.4 x $50 = $20

Price = $50 - $20 = $30

final price = clearance price - value of 20% coupon

value of 20% coupon = 0.2 x $30 = $6

final price = $30 = $6 = $24

total value off normal price = $24 /$50 x 100 = 48%

Answer:

3 adult tickets and 5 children tickets.

Step-by-step explanation:

Make a chart:

1 adult + 7 children = 1(5)+7(3) = 26

2 adults + 6 children = 2(5)+6(3) = 28

3 adults + 5 children = 3(5)+5(3) = 30

4 adults + 4 children = 4(5)+4(3) = 32

5 adults + 3 children = 5(5)+3(3) = 34

6 adults + 2 children = 6(5)+2(3) = 36

7 adults + 1 child = 7(5)+1(3) = 38

The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.

Answer:

Hello! answer: 180

Step-by-step explanation:

what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...

72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

Answer:

nonrigid and segement lengths

Step-by-step explanation:

Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A P # X

Answer:

$18,781.5

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

Final amount = P  [tex](1 + ( r/t))^{t}[/tex]

by putting the value in formula, we get

= $15,000 (  [tex](1 + ( 0.23/5))^{5}[/tex]

= $15,000 × 1.2521

= $18,781.5

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

C

Step-by-step explanation:

6.3/3 = 2.1

12.6/6 = 2.1

18.9/9 = 2.1

Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

1. Here 7/10 of the students would attend any of the dances held at the school.

[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]

Out of the 800 students, 288 do not like to attend dances after the football games.

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Answer:

9

Step-by-step explanation:

All you have to do is subtract the temperatures once you get the final answer for them.

4 days, -7°C, = 43°C

5 days, -6°C, = 34°C

43 - 34 = 9

9°C = 9

~ LadyBrain