a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason​

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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The calculated period of the function is 12

From the question, we have the following parameters that can be used in our computation:

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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First rewrite into 2 inequalities,

\(-2\lt3x+4\)

\(3x+4\lt31\)

Solve each of the inequalities,

\(-2\lt3x+4\implies3x\gt-6\implies x\gt-2\)

\(3x+4\lt31\implies 3x\lt27\implies x\lt9\)

So our x is between -2 and 9 which can be written as,

\(-2\lt x\lt9\)

or as an interval,

\(x\in(-2,9)\)

Hope this helps :)

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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X= (-5)

()()())()()()()()()()()()()()

Answer:

I believe it a I just believe and please make me brailnest

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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The augmented matrix corresponding to the system of equations in this problem is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

The first row is constructed according to the coefficients of the first equation, hence it is given as follows:

[-6 -5 -4 7].

The second row is constructed according to the coefficients of the second equation, hence it is given as follows:

[7 -9 -1 -7].

The third row is constructed according to the coefficients of the third equation, hence it is given as follows:

[-9 -3 -6 7].

Hence the matrix is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

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Answer:

it is 60 my guy

Step-by-step explanation:

Answer:  LCM = 60

Step-by-step explanation:

                6             20  

× 1             6              20

× 2           12              40

× 3           18              60

× 4           24

× 5           30

× 6           36

× 7           42

× 8           48

× 9           54

× 10          60

Using trigonometric ratio and angle of elevation, the value of x and y are 128.7ft and 176ft respectively.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

In the given problem, we can use the concept of trigonometric ratios to find the value of x and y.

Since we have the value of adjacent and the angle, we can use either tangent of the angle to find x or cosine of the angle to find y.

tan 47 = opposite / adjacent

tan 47 = x / 120

x = 120 tan 47

x = 128.7ft

Using cosine of the angle;

cos 47 = adjacent / hypothenuse

cos 47 = 120 / y

y = 120 / cos 47

y = 176ft

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A. (iv) No the case that P(A ∩ B) = 0.5 is not possible. Since B is contained in the event A ∩ B, it must be the case that P(A ∩ B) ≤ P(B). However, 0.5 > 0.4 violates this requirement. (iv)

B. To find the probability that the selected student has at least one of these two types of cards, we can use the formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Substituting the values, we get:

P(A ∪ B) = 0.7 + 0.4 - 0.3 = 0.8

Therefore, the probability that the selected student has at least one of these two types of cards is 0.8.

C. The probability that the selected student has neither type of card can be calculated as the complement of the event that the student has at least one of these two types of cards. Therefore,

P(neither A nor B) = 1 - P(A ∪ B) = 1 - 0.8 = 0.2

D. The event that the selected student has a Visa card but not a MasterCard can be written as A ∩ B'. We can calculate its probability as:

P(A ∩ B') = P(A) - P(A ∩ B) = 0.7 - 0.3 = 0.4

E. To calculate the probability that the selected student has exactly one of the two types of cards, we can use the formula:

P(exactly one of A or B) = P(A ∪ B) - P(A ∩ B)

Substituting the values, we get:

P(exactly one of A or B) = 0.8 - 0.3 = 0.5

Therefore, the probability that the selected student has exactly one of the two types of cards is 0.5.

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Answer:

A

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

Answer:

2/3 of the class are boys

Step-by-step explanation:

16+8 is the total class which is 24 students.

To write it as a fraction it would be 16/24 (simplified is 2/3)

Answer:

100, 25, 50

Step-by-step explanation:

\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)

If the point (4, -1) is a point on the graph of f, then f(4) = -1.

From the question, we have the following parameters that can be used in our computation:

Point ​(4,−​1) is a point on the graph of​ f

The expression "f(4)" represents the output value of the function f, when 4 is plugged into it as the input.

If the point (4, -1) is on the graph of f, it means that for the input value of 4, the output value of the function is -1.

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Answer:

D: (2, -3)

Step-by-step explanation:

We have;

y = 3x - 9 - - - (1)

y = -2x + 1 - - - (2)

By substitution method, from eq 1, we see that: y = 3x - 9

Thus,let's put 3x - 9 for y in eq 2;

3x - 9 = -2x + 1

Rearranging to get;

3x + 2x = 9 + 1

5x = 10

x = 10/5

x = 2

Thus;

y = 3(2) - 9

y = 6 - 9

y = -3

Thus,the solution (x, y) = (2, - 3)

Answer:

6x2-x-12

Step-by-step explanation:

The given expression:

(

2

x

−

3

)

(

3

x

+

4

)

Simplify by using the FOIL method:

(

2

x

−

3

)

(

3

x

+

4

)

=

2

x

⋅

3

x

+

2

x

⋅

4

−

3

⋅

3

x

−

3

⋅

4

=

6

x

2

−

x

−

12

Therefore, the simplest form of the given expression is

6

x

2

−

x

−

12

.

1. Observe problem

Solve for the area and Circumference of a circle who's radius is 3 cm

Area for circle formula:

pi*r^2=

9pi

I simplicity is needed, 9 pi is around

28.2743338823cm^2

Circumference for circle formula: 2*pi*r

which is

6pi

if simplicity is again needed, its around

18.8495559215cm

Answer:

y=5/8x+4.5

Step-by-step explanation:

You have to do y-y divided by x-x so 7-2 which equals 5 and 4-(-4) which equals 8 so your slope is 5/8. For y-intercept, you have to do plug in one of your points into y and x in y=mx+b, so I used the point (4, 7) and I put 7 in the y spot and 4 in the x spot and I put the slope in the slope spot so now you have 7=5/8(4)+b. Next, you multiply 5/8 and 4 which gives you 5/2 or 2.5, so now you have 7=2.5+b. Then you subtract 7-2.5 which gives you 4.5 and there is your y-intercept and your whole equation is y=5/8x+4.5.

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

Step-by-step explanation:

common ratio is -3

10-3=7

7-3=4

4-3=1

etc

Answer:

-3

Step-by-step explanation:

common ratio=a2-a1=7-10=-3

Answer:

Angle B and Angle D are both 101 degrees

Step-by-step explanation:

Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).

Given that fact, we can deduce the measure of angle B.

180-79=101.

Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.

180-79=101.

Therefore, both Angle B and D are 101 degrees.

Answer:

w=30.5 y=29

Step-by-step explanation:

2w=61 so w=30.5

61+y=90 so y=29

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer: 149 pieces of candy

Step-by-step explanation:

     We will divide the total number of pieces of candy by the number of students to find how many each student receives.

3,874 / 26 = 149

        Each student will receive 149 pieces of candy.

Answer:

149

Step-by-step explanation:

This is a simple division problem. Assuming each peer will receive and equal amount of candy, we know we have to divide 3,874 by 26 since we are dividing, or distributing the candy out to everyone.

Step-by-step explanation:

Confidence interval is:

CI = x ± CV · SE

where x is the mean, CV is the critical value, and SE is the standard error.

There is no difference between the population means, so x = 0.

The confidence level is 95%, so CV = 1.96.

SE = 0.69.

So the confidence interval is:

CI = 0 ± (1.96) (0.69)

CI = (-1.35, 1.35)

1.74 is outside of the confidence interval, so it is statistically significant.

Answer:

Step-by-step explanation:

same i need help

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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Answer:

vp=1186380cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation: hi it’

the volume of one scoop of ice cream is 523.6 cc. The cup can hold a volume of 942.5 cc, which is more than one scoop of ice cream. Therefore, Moses's cup can hold one scoop of ice cream without overflowing or spilling.

let's break down the problem step by step.

First, we need to calculate the volume of one scoop of ice cream. Since each scoop is a perfect sphere with a radius of 5 cm, we can use the formula for the volume of a sphere, which is:

V = (4/3)πr³

where V is the volume and r are the radius. Substituting r = 5 cm, we get:

V = (4/3)π(5³) = 523.6 cubic centimeters (cc)

So, the volume of one scoop of ice cream is 523.6 cc.

Next, we need to calculate the volume of the cup and the cone. Since both have the same radius as the scoop of ice cream, we can use the formula for the volume of a cylinder and a cone, respectively, with height 12 cm and radius 5 cm:

For the cup:

\(V_{cup}\)= πr²h = π(5²) (12) = 942.5 cc

For the cone:

\(V_{cone}\) = (1/3)πr²h = (1/3)π(5²)(12) = 314.2 cc

So, the volume of the cup is 942.5 cc, and the volume of the cone is 314.2 cc.

Now, we can determine how much ice cream each container can hold. Since each person gets one scoop of ice cream, we need to compare the volume of one scoop of ice cream to the volume of each container.

For Gaby's cone:

We know that the volume of one scoop of ice cream is 523.6 cc. The cone can hold a volume of 314.2 cc, which is less than one scoop of ice cream. Therefore, Gaby's cone can only hold one scoop of ice cream.

For Moses's cup:

Again, the volume of one scoop of ice cream is 523.6 cc. The cup can hold a volume of 942.5 cc, which is more than one scoop of ice cream. Therefore, Moses's cup can hold one scoop of ice cream without overflowing or spilling.

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The complete question: What is the volume of ice cream in each scoop and what is the total volume of ice cream that Mr. Woods needs to buy for Moses and Gaby? Also, what is the total surface area of the ice cream exposed to the air in each container (cone and cup)?

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780