2. A square playground has a side which measures 40 metres. What is its area?​

The measure of angle B is 82°

What is angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

∠A = 180° - 143°

     = 37°

∠A + ∠B + ∠C = 180°

37° + ∠B + 61° = 180

∠B = 180 - 61 - 37

     = 82°

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If no payments are made then the then after 1 year the interest will go by 5% , therefore the amount to be paid will become ,   P + 25 = 525 $.

Principle + 5% of 500

Therefore, the equation becomes ,

Amount = P + 25

To calculate the interest ,

interest = principal × interest rate × term

             = 500 x 5 x 1

              = 2500.

A loan is defined as a thing or money which is borrowed, especially a sum of money that is expected to be paid back with an interest rate which is fixed by both the parties.

Loans are typically taken or granted by by corporations, financial institutions, and governments. They allow for growth in the overall money supply in an economy and open up competition by lending to new businesses.

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Answer:

x = 39

y = 129

Step-by-step explanation:

to find x you do

x +51 = 90

subtract 51 from both sides

x = 39

to find y

we already know part of y is a right angle (90 degrees)

so we need to find the tiny other part

this tiny other part is equal to x

so

90 +39 = 129

Answer:

1.v divided by n 2. im not sure how much money you have 3.true

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Let the total number of candies =

10 chocolate candies + 8 coffee candies + 12 caramel candies = 30 candies

Probability of picking a chocolate candy = P(chocolate) = 10/30

Probability of picking a coffee candy = P(chocolate) = 8/30

Hence, the probability of getting candies with P (chocolate or coffee)

= P(chocolate) + P(coffee)

= 10/30 + 8/30

= 18/30

= 3/10

Therefore, the probability of getting candies with P (chocolate or coffee) is 3/10

Answer:

30.2%

Step-by-step explanation:

a. For each slot there are 10 possible numbers (0-9). Since there are no restrictions, the number in each slot is independent of the other. We can calculate the total number of possibilities using the product rule.

N = 10 × 10 × 10 × 10 × 10 = 10⁵

b. For the first slot, there are 10 possibilities.

For the second slot, we cannot repeat the number that we used in the first slot, so there are 9 possibilities.

For the third slot, we cannot repeat any of the previous numbers, so there are 8 possibilities.

For the fourth slot, we cannot repeat any of the previous numbers, so there are 7 possibilities.

For the fifth slot, we cannot repeat any of the previous numbers, so there are 6 possibilities.

The total number of combinations without any repetitions are:

10 × 9 × 8 × 7 × 6 = 30,240

c. The probability that the safe's five numbers do not repeat is:

P = favorable outcomes / possible outcomes

P =  30,240 / 10⁵ = 30.2%

Answer:

Step-by-step explanation:

1.6

2.30

3.?

4.60

5.84

6.330

Answer:

Adam took 132 minutes longer than Steve.

Step-by-step explanation:

Let's find the time that takes Steve and Adam to complete the race. We will use the equation:

[tex] V = \frac{d}{t} [/tex]              

Where:

d: is the distance = 26 miles

t: is the time =?

V: is the speed

For Steve we have the following time:

[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]

And the time of Adam is:

[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]

So, the difference between the time of Adam and Steve is:

[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]

Hence, Adam took 132 minutes longer than Steve.

I hope it helps you!

Answer:

1.3

Step-by-step explanation:

3.5 - y

y= 2.2

So substitute the Values and do 3.5 - 2.2 and you get 1.3 as answer

I hope This helped!

Answer:

1.3

Step-by-step explanation:

mrk me brainliest plzzzzzzzzz

Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

Answer:

[tex]f(g(4)) = f(4^2-3) = f(13) = 13 + 7 = 20[/tex]

[tex]g(f(5)) = g(5 + 7) = g(12) = 12^2-3 = 141[/tex]

[tex]f(f(1)) = f(1 + 7) = f(8) = 8 + 7 = 15[/tex]

In fraction form, this is 6.375/8.5, or 3/4.In decimal form, this is 0.75.

Fraction is a mathematical expression which represents a part of a whole. It consists of a numerator and a denominator which are separated by a fraction bar. The numerator is the number of parts and the denominator is the total number of parts in the whole. Fractions can be used to represent parts of a whole number or parts of a physical object. Fractions can also be used to express ratios or rates.

To solve on paper, we can use the following equation:

Pears = 8.5 kg - (3/4 x 8.5 kg)

Pears = 8.5 kg - (6.375 kg)

Pears = 2.125 kg

Therefore, the farmer sold 2.125 kg of pears at the farmer's market in fraction form, and 0.75 in decimal form.

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Answer:

x-coordinate

Step-by-step explanation:

Answer:

10 yards

Step-by-step explanation:

We know that to find the perimeter you have to multiply the length and width by 2 and add

We already know that the length is 14 yards

Multiply 14 by 2

    14*2=28

Subtract 48 by 28 (the total of both the length and width multiplied by 2)

    48-28=20

Divide 20 by 2

   20/2=10

And your answer is 10 yards as the width

10+10+14+14=48 yards

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

If a binomial is found to be a difference of squares, it is factored into two binomials. the first being the first term's square root less the second term's square root.

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Answer:

x=12√3

Step-by-step explanation:

we can split the triangle into two right triangles

since we know that DEF is an equilateral triangle, that means that we will be dealing with a 30°-60°-90° special right triangle

since it is a 30°-60°-90° triangle,

x=12√3

Answer:

HELLLLLLLLLLLLLLLLLL NO

Step-by-step explanation:

Answer:

C.   Function 1:  Difference of 1

Step-by-step explanation:

Function 1

m = ∆y / ∆x = 6/2 = 3

Function 2

Slope intercept form

m = 2

-------------------------

Function 1 is greater

Difference

3 - 2 = 1

Answer:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

The closest ones are - B and E

Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .

What is an isosceles triangle simple definition?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles

the sum of triangle is 180, sum of all the interior angles is equal to 180.

so if you know two angles then apply sum of triangles and find out the value of the third triangle.

isosceles triangle

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

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Answer:

y = 30

x = 60

Step-by-step explanation:

4y and 2y are consecutive angles, which means they are equal to 180° when added together

that is the same with x and (5x - 180)

to solve, you set the equations to 180

solving:

4y + 2y = 180

6y = 180

y = 30

x + 5x - 180 = 180

6x = 360

x = 60

Answer:

30 degrees

Step-by-step explanation:

Answer:

domain[-5,-3)U(4,3)

range-(4,-4)

Step-by-step explanation

parentheses are used when the circle is open and brackets are used when the circle is filled in, domain is the x axis and range is the y axis

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]

Time taken to travel is

[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]

6th terms of given geometric progression whose common ratio is 3/2 and first term is 4  is 243/8 using the farmula ar^(n-1).

What is a geometric sequence?

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.

Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).

a = First term where

The common Ratio is r.

nth term = ar^(n-1)

6th terms ar^(6-1) = ar^5.

given is that r =3/2. a = 4.

6th term = 4 * (3/2)^5

= 4 * 3^5/2^5

=4*243/4*8

=243/8.

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A variable has a degree of zero and no exponent. Each constant polynomial has a degree of zero.

A polynomial only uses addition, subtraction, multiplication, and non-negative integer exponentiation of the variables as its operations. In mathematics, the term "indeterminate" is frequently used to describe variables. A polynomial is an equation that combines variables, constants, and exponents while using addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

A variable has no exponent, the degree is 0. The degree of each constant polynomial is zero .

Since 3 can be expressed as  [tex]3 X 0[/tex] and is a constant polynomial, it has a degree of [tex]0[/tex].

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Answer:

[tex]a = \frac{bq}{n}[/tex]

Step-by-step explanation:

If we are trying to solve for "a", then we need it to be alone on one side of the equation.

[tex]\frac{n}{q} = \frac{b}{a}[/tex]

[tex]\frac{an}{q} = b[/tex]

[tex]a = \frac{bq}{n}[/tex]