In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?
Select one:
a. 60 square units
O b. 140 square units
O c. 70 square units
O d. 120 square units

Answer:

no they're not

Step-by-step explanation:

one of the sides is 15 m in the numbers don't add up

Answer:

there not

Step-by-step explanation:

the other person said why .<.

Sam will earn $99 for 12 hours of babysitting.

Two or more expressions with an equal sign are defined as an equation.

Given that, Sam earns $33 for babysitting for 4 hours.

4 hours = $33

4 ×3 hours = $33×3

12 hours = $99

Hence, Sam will earn $99 for 12 hours of babysitting.

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Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

Dimensions : 16 x 20

solving steps:

So we found Width = 16 feet

Length:

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

I think this is the answer

Answer:

1. 6.25 cm                2. 6 cm

3. 6.5 cm                   4. 8.8 cm

Step-by-step explanation:

As area =  length x width

so,      width = area / length ----------(1)

               by applying (1) on every part

1. 31.25 / 5

= 6.25 cm

2. 55.5 / 9.25

= 6 cm

3. 48.75 / 7.5

= 6.5 cm

4. 44 / 5

= 8.8 cm

Since, the rate of cooling of a body is given by do/dt = ko where k is a constant. Therefore, It takes approximately 5 minutes and 6 seconds for the body to cool to 30°C.

The rate of cooling of the body is given by:

dθ/dt = kθ

where θ is the temperature of the body and k is a constant.

Using the separation of variables, we get:

1/θ dθ = k dt

Integrating both sides, we get:

ln(θ) = kt + C

where C is a constant of integration.

To find C, we use the initial condition:

θ = 50°C when t = 5 minutes

ln(50) = 5k + C

C = ln(50) - 5k

Substituting C into the equation, we get:

ln(θ) = kt + ln(50) - 5k

ln(θ/50) = kt

Taking the exponential of both sides, we get:

θ/50 = e^(kt)

To find k, we use the second initial condition:

θ = 40°C when t = 10 minutes

40/50 = e^(10k)

k = ln(4)/10

Substituting k into the equation, we get:

θ/50 = e^((ln(4)/10)t)

θ = 50e^((ln(4)/10)t)

To find the time taken for θ to fall to 30°C, we solve the following equation for t:

30 = 50e^((ln(4)/10)t)

ln(3/5) = (ln(4)/10)t

t = 10ln(3/5)/ln(4)

t ≈ 5.06 minutes (rounded to the nearest second)

Therefore, it takes approximately 5 minutes and 6 seconds for the body to cool to 30°C.

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Given:

Number of shirts William own = 55 shirts

Percent that are dress shirts = 40%

Let's find the number that are dress shirts.

Given that 40% of the shirts Williams own are dress shirts, to find the number of dress shirts, apply the formula:

Therefore, the number of dress shirts are 22

ANSWER:

22

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6

LCM of 3 and 6 is 6.

therefore, multiple the fraction that doesn't have 6 as denominator with a fraction that makes the denominator equal to the LCM.

1/3 × 2/2 = 2/6

(we have used 2/2 because 3×2= 6)

so,

2/6+1/6 = 2+1/6

(2 + 1 whole divided by 6)

therefore we get,

3/6

on simplification,

3/6 = 1/2 = 0.5

hope it helps!!

PLEASE MARK BRAINLIEST..

Answer:

1/3 + 1/6 = 2/6 + 1/6 = 1/2 (simplified from 3/6)

Step-by-step explanation:

since 1/3 = 2/6 (to get the same denominator)

2/6 + 1/6 = 3/6 (or 1/2 simplified, when divided by 3/3)

so 2/6 + 1/6 = 3/6

2 is the first blank

1/2 is your answer. (second blank)

hope this helps:)

Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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The answer is (C) 28.26 ft²

To solve the problem, we need to find the radius of the circle, which is half of the length of the segment through the center. Since the length of the segment is 6 feet, the radius is 6/2 = 3 feet.

The area of a circle is given by the formula A = πr², where r is the radius. Substituting the value of the radius, we get:

A = π(3)² = 9π ≈ 28.26 square feet

Rounding to two decimal places, the approximate area of the circle is 28.26 ft^2.

Therefore, the answer is (C) 28.26 ft²

The area of a circle is the amount of space inside the boundary of a circle. It is defined as the product of the square of the radius (r) and the constant pi (π), which is approximately 3.14. The formula for the area of a circle is:

Area = πr^2

Where r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle's circumference.

The formula shows that the area of a circle is proportional to the square of its radius. This means that if the radius is doubled, the area of the circle will be quadrupled, and if the radius is halved, the area will be reduced to one-fourth.

The area of a circle is often used in geometry and other areas of mathematics, as well as in real-life applications such as calculating the area of a circular garden, a circular swimming pool, or the surface area of a cylinder or sphere.

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The approximate area of the semicircle is 100.48 square inches.

Given that the length of the curved part of a semicircle is 25.12 inches, we are to find the approximate area of the semicircle using 3.14 for π.

We can start by using the formula for finding the circumference of a circle.

A semicircle is half of a circle, and its curved part is half the circumference of the corresponding circle.

Circumference of the corresponding circle = 2πr, where r is the radius of the circle.

Circumference of the semicircle = (1/2) × 2πr = πr.

Now, we have πr = 25.12 inches.

We can solve for r:r = 25.12/π ≈ 8 inches.

The area of a semicircle is given by the formula A = (πr²)/2.

Substituting the value of r, we get:

A ≈ (3.14 × 8²)/2 ≈ 100.48 square inches.

Therefore, the approximate area of the semicircle is 100.48 square inches.

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Answer:

Step-by-step explanation:

d

Answer:

14 cups of m&m's to make 84 cookies

Step-by-step explanation:

If it takes 2 cups of m&m's to make 12 cookies. then you need to see how many times the original recipe will go into 84. Seeing that 84/12=7 you would need to multiply the original recipe by 7.  

For example:

84/12=7 This is how many times the recipe is multiplied if you make 84 cookies.

2x7 is the amount of m&m's you would need to make the larger batch of cookies.

E  letter is the direction of the line of symmetry different from that of the others.

A form or item is divided into two equally and symmetrical portions by a line of symmetry. So it separates the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

A triangular equilateral shape has three symmetry lines. An equilateral triangle has the most lines of symmetry, as opposed to other types of triangles like scalene, isosceles, or right-angled triangles.

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Answer: It's (-4, 3) Hope this helps! ^^

Step-by-step explanation:

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

ratios, fractions, statistics, and percentage increase or decrease.

Step-by-step explanation:

Answer:

The answer is 5.05

Step-by-step explanation:

Let the number be x,

5/9 = 0.56

Now,

x × 11/100 = 5/9

x = 5 × 100 ÷ 9 × 11

x = 500/99

x = 5.05

Thus, The number is 5.05

-TheUnknownScientist 72

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer: 9/2, 2.63, -2.47, -5sqrt(3), -18

Step-by-step explanation:

i  think so is correct

Answer:

43, 52, 61

(adding nine each time)

To solve the initial-value problem 2xy' y = 6x, x > 0, y(4) = 24, we first need to separate the variables and integrate both sides.

Starting with the initial-value problem 2xy' y = 6x, we divide both sides by 2xy to get y'/y = 3/x.

Now, we integrate both sides with respect to x:
∫(y'/y) dx = ∫(3/x) dx
=> ln|y| = 3ln|x| + C
where C is the constant of integration.

Next, we can solve for y by exponentiating both sides:
|y| = e^(3ln|x|+C)
=>|y| = e^C * e^(ln|x|^3)
=>|y| = kx^3
where k = ± e^C.

To find the specific value of k, we can use the initial condition y(4) = 24:
|24| = k(4)^3
=>k = 3/8

So, the solution to the initial-value problem is:
y = 3/8 x^3 for x > 0, y(4) = 24.

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The total cost of the meal, given the subtotal, the tax and the tip, is $ 34. 65.

To find the total cost, first calculate the tip. To calculate the tip, multiply the subtotal by the tip rate:

= 27. 07 x  0. 18

= $ 4. 87

Then, calculate the tax. To calculate the tax, multiply the subtotal by the tax rate :

= 27. 07 x 0. 10

= $ 2. 71

The total cost can be found when you add the subtotal, tax, and tip :

= 27. 07 + 2. 71 + 4. 87

= $ 34. 65

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Full question is:

What is the total cost ?

Subtotal: 27.07

Tax (10%)

Tip (18%)

Given:

The expression is:

\(3x^5-7x^4+6x^2-14x\)

To find:

The complete factor form of the given expression.

Solution:

We have,

\(3x^5-7x^4+6x^2-14x\)

Tanking out the GCF, we get

\(=x(3x^4-7x^3+6x-14)\)

\(=x(x^3(3x-7)+2(3x-7))\)

\(=x(x^3+2)(3x-7)\)

Therefore, the complete factor form of the given expression is \(x(x^3+2)(3x-7)\).

The cost of the car in 2022 will be $14,718.4

What is the rate of depreciation?

The depreciation rate is the total amount depreciated each year, expressed as a percentage.

Number of years the car used= 2022-2014 = 8 years

Let x=8 years

Rate of depreciation, r=10.5%

P=100-r=100-10.5=89.5%

P in the decimal form will be obtained by dividing by 100.

89.5/100=0.895

Use the general equation for depreciation:

\(v=up^x\)

Where, v=cost after x years, p-value taken in decimal form, x is the time in years

After substituting the values,

\(v=35750(0.895)^8\)

On simplifying, v= 14,718.4

So, the cost of the car in 2022 will be $14,718.4

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Sorry for the late answers, but the answers are...

6

3.40

1.61

I know this because I had this problem and I got it correct. The screenshot attached is proof that the answers are correct

Answer:

There are 6 observed toll fee values.

It costs 3.40 to travel 76 miles.

The predicted value for traveling 30 miles is 1.61

Step-by-step explanation:

Government programs help to protect citizens from possible hazards

exposure.

The government program that encourage hygiene practices is A.

Transportation regulations to prevent overcrowding.

Reasons:

Hygiene practices which include mainly cleanliness measures, meant to

keep a person healthy as well as to prevent contraction of disease.

Government programs such as stipulating social distancing rules reduces

airborne diseases, and other contagious diseases, and such programs are

useful as part of transport regulations.

Therefore, the government program that encourage hygiene practice

transport regulations to prevent overcrowding.

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If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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