MATHEMATICS HIGH SCHOOL

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ... ​

Answers

Answer 1
Answer:

Answer:

61,70,79

Step-by-step explanation:

common difference=9

It is an arithmetic progression.

therefore next 3 terms of the sequence is 61,70,79
Answer 2
Answer:

Answer:

61, 70,79

Step-by-step explanation:

34 - 25 = 9

43 - 34 = 9

52 - 43 = 9

52 + 9 =61

the pattern is plus 9

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Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?

Answers

The cost of the sweater is given by the equation A = $ 40.69

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the sweater be represented as A

Now , the equation will be

The cost of sweater without discount and sales tax = $ 47.99

The discount percentage = 20 %

The cost of sweater after discount = 47.99 - ( 20/100 ) x 47.99

On simplifying the equation , we get

The cost of sweater after discount = 47.99 - 9.598

The cost of sweater after discount = $ 38.392

Now , the percentage of sales tax = 6 %

The cost of sweater after sales tax = 38.392 + ( 6/100 ) x 38.392

On simplifying the equation , we get

The cost of sweater after sales tax = 38.392 + 2.30352

The cost of sweater after sales tax = $ 40.695

Therefore , the value of A is $ 40.69

Hence , the final cost of the sweater is $ 40.69

To learn more about equations click :

brainly.com/question/19297665

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First calculate what the coupon does for Camille
so multiply %20 by the cost or .2(47.99)=9.598 which rounds to  9.60 meaning she still paid $38.39
Then calculate sales tax by multiplying her clearance price by %6 and adding it on the cost
.06(38.39)= 2.3034 which rounds to $2.30 in tax.
Add that onto the clearance price 38.39+2.30=$40.69
So her total cost was $40.69

How many square feet of paper do you need to cover a cube with a side 10 in. long? Round your answer to two decimal places.A. 4.17 sq ft
B. 86.40 sq ft
C. 6.94 sq ft
D. 82.52 sq ft

Answers

Answer: A. 4.17 sq ft

Step-by-step explanation:

The total surface area of cube is given by :_

T.A.=6(side)^2

Given: The side of cube = 10 in.

We know that 1 feet = 12 inch

∴1\ in.=(1)/(12)\ ft

Therefore, the  side of cube =10*(1)/(12)\ ft=(10)/(12)\ ft

Then the  total surface area of cube is given by :_

T.A.=6((10)/(12))^2\n\n=6((100)/(144))\n\n=4.16666666667\approx4.17\ sq\ ft
10 in = 0.83 ft= (5)/(6) ft\n A=6* ((5)/(6)) ^(2)=4.17

So the answer is A. 4.17 sq ft.

True or false the law of cosines can only be applied to acute triangles.

Answers

Answer:

False

Step-by-step explanation:

Law of cosines:

If you know two sides and an included angle, or all the three sides of the triangle, then law of cosines can be applied as:

c^2=a^2+b^2-2abcosC where C is an included angle.

Acute triangle:

A triangle whose all the three angles are less than 90 degrees.

Thus, it is not necessary that the law of cosines will be applied to only acute triangles. Law of cosines can be applied to any triangle as to use it, we only need two sides and an included angle.

Thus, the given statement that is the law of cosines can only be applied to acute triangles is false.

Answer:

False

Step-by-step explanation:

The answer is false

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?

A)3 in2
B)6 in2
C)12 in2
D)196 in2

Answers

A central angle : π / 6 = 30 °
30 ° = 360 ° / 12
The area of the sector is 1/12 of the area of a circle.
Therefore area of the sector is:
A = 36 π / 12 = 3 π
Answer: A ) 3 π in²

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Area of a circle = 36π in²

As we know the formula for "Area of circle ":

Area=\pi r^2\n\n36\pi=\pi r^2

Now, we need to calculate the area of sector.

As we know the formula for "Area of sector":

Area\ of\ sector=(\theta)/(360\textdegree)\pi r^2\n\nArea\ of\ sector=(30)/(360)* 36\pi \n\nArea\ of\ sector=(1)/(12)* 36\pi\n\nArea\ of\ sector=3\pi\ in^2

Hence, Option 'A' is correct.

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.



Please select the best answer from the choices provided


A
B
C
D

Answers

D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.

Answer:

d

Step-by-step explanation:

Estimate the answer by rounding 863 x 534 to the nearest 100

Answers

Answer:

Step-by-step explanation:

If I rounded to the nearest hundred it would look like this 900 and 500.

because the closest hundred type number is 900 and the same for the number 500

Answer:

450,000

Step-by-step explanation:

To estimate the answer by rounding 863 x 534 to the nearest 100, follow these steps:

1. Multiply the tens digit of both numbers: 8 x 5 = 40

2. Round each number to the nearest 100: 863 ≈ 900 and 534 ≈ 500

3. Multiply the rounded numbers: 900 x 500 = 450,000

4. The estimated answer to the nearest 100 is 450,000.

Therefore, when rounding 863 x 534 to the nearest 100, the estimated answer is 450,000.
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