Which equation could be used to find the area of this circle in
square feet?

Rita worked for 2 1/2 hours more during the second week

The first step is to write out the parameters given in the question

Rita works 12 3/4 hours in her first week at a new job

She works 15 1/4 hours in the second week

The number of hours that she worked longer during the second week can be calculated by subtracting the number of hours worked in the second week from the number of hours worked during the first week of the job

= 15 1/4 - 12 3/4

= 61/4 - 51/4

= 10/4

= 5/2

= 2 1/2

Hence Rita worked  2 1/2 hours longer during the second week

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Answer:

equilateral triangle

Step-by-step explanation:

The surface area of the cone is 96π square centimeters (or approximately 301.59 square centimeters if we use a decimal approximation for π).

Calculating a cone's surface area is as follows:

SA = πr² + πrℓ

where l is the cone's slant height and r is the base's radius.

The radius and slant height in this instance are 6 cm and 10 cm, respectively. Therefore:

SA = π(6²) + π(6)(10)

= 36π + 60π

= 96π

The cone's surface area is 96 square centimetres, or roughly 301.59 square centimetres if we round to the nearest decimal.

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Answer: Isaac is unfortunately incorrect.

Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.

-2(3x-5)=-2*3x+-2*-5=-6x+10

The left side simplifies to -6x+10 which is not equivalent to -6x-10.

Hope this helps!

Answer:

320 degrees

Step-by-step explanation:

For the whole circle of angles there it is 360 degrees. We already have 40 degrees on the interior angle, and we know K has to be 180 degrees. 360-40 is 320.

The trigonometric ratios gives the values required.

The three main trigonometric ratios that we need are the sine the cosine and the tangent.

1) The hypotenuse is;

c^2 = 5^2 + 12^2

c = √5^2 + 12^2

c = 13

Then;

sin x + cos x

= 5/13 + 12/13

= 17/13

2) The adjacent is;

13^2 = x^2 + 5^2

x^2 = 13^2 - 5^2

x = √13^2 - 5^2

x = √ 169 - 25

x = 12

Cos p = 12/13

3) The adjacent is;

13^2 = x^2 + 12^2

x^2 = 169 - 144

x = 5

2sinx + 1/2Cos x

2(12/13) + 1/2 (5/13)

144/13 + 5/26

=293/26

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Answer:

21

Step-by-step explanation:

Answer:

25% of 84 is 21

Step-by-step explanation:

25% can be written as 0.25

0.25 times 84 = 21

Answer:

159

Step-by-step explanation:

So first you work on the (3 + 5) which is 8 but don't forget the ^2 so 8^2 is 64. Then you work on your next term which is 10^2 which is 100. So now our equation is 100 + 64 -5 and you can solve this by going left to right. So 100 + 64 is 164 then - 5 is 159.

Answer: C

Step-by-step explanation: is closer to 5000

Answer:

15.

Step-by-step explanation:

Given: simplify 3³- 3²-3

First, write the equation:

3³- 3²-3

Then using BODMAS, complete the 'power of' numbers:

27 - 9 - 3

Then subtract 27 from 9:

18 - 3

Finally subtract 18 from 3:

= 15

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hope it helps! :)

In accordance with the provided assertion, (A) the shorter leg is 3√3 inches and the hypotenuse is 6√3 inches (B) the longer leg is 4√3 cm and the hypotenuse is 8 cm.

The measurement or size of a thing end to end is referred to as its length. To put it another way, it is the bigger of the higher two or three dimensions of a geometric form or object.

For a 30°−60°−90° triangle, the ratios of the side lengths are:

Using these ratios, we can solve the problems:

Longer leg = x√3 = 9

x = 9/√3 = 3√3

Shorter leg = x = 3√3

Hypotenuse = 2x = 2(3√3) = 6√3

Therefore, the shorter leg is 3√3 inches and the hypotenuse is 6√3 inches.

    2. If the shorter leg is 4 cm, we have:

Shorter leg = x = 4

Longer leg = x√3 = 4√3

Hypotenuse = 2x = 2(4) = 8

Therefore, the longer leg is 4√3 cm and the hypotenuse is 8 cm.

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The equation of the line shown is y = 2x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 2/1 = 4/2

Constant of proportionality, k = 2.

Therefore, the required equation is given by:

y = kx

y = 2x

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[tex]A = 9(12) - 4^{2} = 108 - 16 = \bf 92 \ in^{2}[/tex]

With the discount, each dresser would cost $450.

What is the discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.

To calculate the amount of discount off each item, we need to know the original price of each dresser and the percentage discount that is being offered. Let's assume that the original price of each dresser is $500, and the discount being offered is 10%.

To calculate the discount off each item, we can use the following formula:

Discount amount = Original price x Discount rate

where the discount rate is the percentage discount expressed as a decimal (e.g., 10% = 0.1).

So, for each dresser, the discount amount would be:

Discount amount = $500 x 0.1 = $50

Therefore, each dresser would be discounted by $50. This means that the new price for each dresser would be:

New price = Original price - Discount amount

New price = $500 - $50 = $450

Hence, with the discount, each dresser would cost $450.

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Answer: So it will take 90 hours (which is 3.75 days or 3 days, 18 hours) to eat all the possible cheeseburgers.

Step-by-step explanation:

There are 9 x 6 x 2 x 5 = 540 different cheeseburgers

So...

(540 cheeseburgers)*(10 minutes/1 cheeseburger) = 540 x 10 = 5400 minutes

Convert to hours to get

(5400 min)*(1 hr/60 min) = 5400/60 = 90 hours

Answer:

To compare the times of Paul and Jeff, we need to convert Paul's time to seconds.

Paul's time = 2 minutes 2 seconds = (2 x 60) + 2 = 122 seconds

Now we can compare their times:

Paul's time: 122 seconds

Jeff's time: 121 seconds

Jeff finished first since he has the lowest time.

Answer: To compare the times of Paul and Jeff, we need to convert Paul's time to seconds:

2 minutes and 2 seconds = 2 × 60 seconds + 2 seconds = 122 seconds

Now we can compare their times:

Paul finished in 122 seconds

Jeff finished in 121 seconds

Since Jeff's time is lower than Paul's time, Jeff finished first.

Step-by-step explanation:

a. Find (A(2)-A(0))/2, (B(2)-B(0))/2, and (C(2)-C(0))/2.

b. Find (A(12)-A(10))/2, (B(12)-B(10))/2, and (C(12)-C(10))/2. Compare the rates of change between the three loans for each interval.

a. To find the average rate of change per year between the start of the loan and the end of the second year, we need to calculate the difference in the amount owed after two years and the amount owed at the start of the loan, and then divide by two.

For loan A:

Average rate of change = (A(2) - A(0))/2

For loan B:

Average rate of change = (B(2) - B(0))/2

For loan C:

Average rate of change = (C(2) - C(0))/2

b. To find the average rate of change per year between the end of the tenth year and the end of the twelfth year, we need to calculate the difference in the amount owed at the end of the twelfth year and the amount owed at the end of the tenth year, and then divide by two.

For loan A:

Average rate of change = (A(12) - A(10))/2

For loan B:

Average rate of change = (B(12) - B(10))/2

For loan C:

Average rate of change = (C(12) - C(10))/2

2. We can compare the average rates of change for the three loans in each of the two-year intervals by comparing their values. If the average rate of change is positive, it means the amount owed is increasing, while if it is negative, it means the amount owed is decreasing. We can compare the rates to see which loan is increasing or decreasing at a faster rate in each interval.

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According to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), with the expression on the left side equal to the expression on the right side. The equals sign indicates that the two expressions have the same value for some or all values of the variables involved.

The equation that gives the height [tex]($S$)[/tex] of the ball at time [tex]($t$)[/tex] is:

[tex]$$S = 140 + 128t - 16t^2$$[/tex]

To find the time [tex]($t$)[/tex] when the ball is at a certain height, we can set the equation equal to that height and solve for [tex]t$.[/tex]

For example, if we want to find the time when the ball is at a height of 200 feet, we would set [tex]$S = 200$[/tex] and solve for [tex]t$:[/tex]

[tex]$$200 = 140 + 128t - 16t^2$$[/tex]

Rearranging and simplifying, we get:

[tex]$$16t^2 - 128t + 60 = 0$$[/tex]

Dividing both sides by 4, we get:

[tex]$$4t^2 - 32t + 15 = 0$$[/tex]

We can solve for [tex]$t$[/tex] using the quadratic formula:

[tex]$$t[/tex]= [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$[/tex]

where  [tex]a = 4$, $b = -32$,[/tex]  and  [tex]c = 15$.[/tex]

Plugging in these values, we get:

[tex]$$t[/tex] = [tex]\frac{-( -32) \pm \sqrt{(-32)^2 - 4(4)(15)}}{2(4)}$$[/tex]

Simplifying, we get:

[tex]$$t =[/tex] [tex]\frac{32 \pm \sqrt{484}}{8}$$[/tex]

[tex]$$t =[/tex][tex]\frac{32 \pm 22}{8}$$[/tex]

Therefore, the possible values of [tex]$t$[/tex] are:

[tex]$$t =[/tex] [tex]\frac{7}{2} \quad \text{or} \quad t = \frac{5}{4}$$[/tex]

Since the ball is thrown upward, the time when the ball is at a height of 200 feet is the time it reaches the height of 200 feet on its way up, not on its way down.

Therefore, according to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

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The value of the speed(v) is 5.14 km/hr

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector. Speed is measured in m/s and km/hr

speed = distance / time

distance = 3km

converting the time in seconds to hour,

time = 35 mins = 35/60 = 7/12 hr

speed = 3 ÷ 7/12

= 3× 12/7

= 36/7

= 5.14 km/hr

therefore the speed of the boy is 5.14 km/hr

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Answer:33 1/3

Step-by-step explanation:

Answer: 33.35

Step-by-step explanation:

6 2/3 is 6.67 in decimal form. 6.67 x 5 = 33.35

So, the answer is 33.35

I hope this helps!

The total surface area of the given solid is 256 inch²

Surface area is the measure of the total area that the surface of an object occupies. It is usually expressed in square units, such as square meters, square centimeters, or square feet.

Here in this problem take the surface of the solid as the number of faces and calculate the area of each face as shown below.

Here we have

Solid box with dimensions 4 in, 5 in, and 8 in

The surface of the given solid can be divided as given in the picture

The surface area of the shape = Sum of areas of [ 1 to 12 faces ]

Area of (1, 2, 3, 7, 8, 9 faces ) = 6 (4 × 4 )= 96 inch²  

Area of (4, 5, 6, 10, 11, 12 faces ) = 6 (5 × 4) = 120 inch²    

Area of bottom = (8 × 5) = 40 inch²  

Total Surface area = [ 96 + 120 + 40 ] = 256 inch²

Therefore,

The total surface area of the given solid is 256 inch²

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Answer:

0

Step-by-step explanation:

for x x^2+x-6=-4. x2+x−6=−4 x 2 + x - 6 = - 4. Step 1. Add 4 4 to both sides of the equation. x2+x−6+4=0 x 2 + x - 6 + 4 = 0.

(hope it helps!)

Answer:

Step-by-step explanation:

catss

Answer:

Lamar claims that the weight of her cat is "almost 11 pounds".

Since Lamar is using the word "almost", we can assume that she means the weight of her cat is very close to 11 pounds, but not exactly 11 pounds.

Therefore, we can represent Lamar's claim with the inequality:

B) w < 11

This is because if the weight of Lamar's cat is almost 11 pounds, but not exactly 11 pounds, then the weight must be less than 11 pounds.

C. The diameter of a circle is two times the radius.

Answer:

x=118

y= 35

Step-by-step explanation:

180-62= 118

180-145=35

The value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

What is a trapezium?

A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.

From the given trapezium 4 angles are x, y, 62° and 145°.

Here, x+62°=180° (Sum of allied angles is 180°)

x=180°-62°

x=118°

Now, y+145°=180°

y=180°-145°

y=35°

Therefore, the value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

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