\( \sqrt{45 + \sqrt{90} } \)
what id solution?​

Answer:

9 minutes and 25 seconds to 9 in the evening in analogue time is represented as:

8:50:35 PM

The polygon shown in the figure is trapezoid and the value if x is  .

What is trapezoid?

A trapezoid may be a polygonal shape that has just one try of parallel sides. These parallel sides also are referred to as parallel bases of trapezoid. the opposite 2 sides of trapezoids area unit non-parallel and referred to as legs of trapezoids

Main body:

by using the property of trapezoid ,

1/2(sum of both bases) = mid-line passing through trapezoid

according to question:

x = 1/2(x-8+2x-12)

x = 1/2(3x -20)

2x = 3x - 20

x = 20

Hence value of x is 20.

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Answer:

9

Step-by-step explanation:

6/1 / 2/3

6/1 x 3/2

18/2

9

Answer:

9

Step-by-step explanation:

\(6 \ \div \frac{2}{3} \)

\( \frac{6}{1} \times \frac{3}{2} \)

\( \frac{18}{2} \)

= 9

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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Given: Ben goes to the grocery store at a rate of 3 times a week.

Required: To determine how often Ben would be expected to go to the grocery store in 10 weeks.

Explanation: Let Ben goes x times to the grocery store in 10 weeks. It is given that Ben goes three times to the grocery store in 1 weeks. It can be translated to proportions as

Solving the above proportion gives,

Final Answer: Translate to proportion-

x=30 times in 10 weeks.

Let's see how the while loop functions for n = 2345. Inside the loop, the reversed number is calculated using the formula reverse = reverse * 10 + remainder. n. n != 0.

Given,

arr: [7, 234, 58100]

Expected Output:

7 + 432+ 18500 = 18939

Input:

arr: [0, 100, 220]

Expected Output:

0 + 100 + 220 = 320

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The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

The algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  \((25.8x +11.2) $ cm\)

Recall:

Perimeter of a rectangle = 2(L + W)

Given the following dimension of a rectangle:

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

Perimeter = \(2((4.5x + 3.4) + (8.4x + 2.2))\)

Perimeter = \(2(4.5x + 3.4 + 8.4x + 2.2)\)

Perimeter = \(2(12.9x + 5.6)\)

Perimeter = \(25.8x +11.2\)

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  \((25.8x +11.2) $ cm\)

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Answer:

2 I think

Step-by-step explanation:

first, simplify it

-7+4-3x+8x-7+4-3x+8x

-6+10x

2 terms

The y-intercept is the point where the line intersects the y-axis.

All the points on the y-axis have the x-coordinate equal to zero.

Now, to find the y-coordinate, let's look at the graph for the point of intersection between the line and the y-axis.

Looking at the graph, this point is (0, -1).

Therefore the correct option is C.

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

you will end up whit 48

Step-by-step explanation:

if you multily 24 multiplyed by 2

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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Answer:

x = ± 6

Step-by-step explanation:

1: Subtract both sides by -54

\(-1.5x^2=-54\)

2: Divide both sides by -1.5

\(x^2=36\)

3: Take both sides to the 1/2 power

\(x= 6, -6\)

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

Answer:

-2

Step-by-step explanation:

-5-7 = -12

6x = -12

x = -2

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

hello

we need to find if AB and CD are parallel or perpendiular. to do this, we compare slopes

now we should find slope of AB

slope of CD

since both slopes are equal, then the lines must be parallel to each other.

you can also use a graph to solve this

Answer:

You just do 863+863= 1,726 km

Step-by-step explanation:

Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2

Answer:

At the 95% confidence level the confidence interval for this proportion is:

0.5 = 1.96( √0.21 / n)

0.5 / 1.96 =  √(0.21 / n)

0.3  x √n = √0.21

√n = √( 0.21 / 0.3)

 = √0.7

n = 0.83

Step-by-step explanation:

Solution:

Case 1:

Acceptable error = precision = 4%

Share last year = p = 23% = 0.23

q = 1 – p = 1 – 0.23

q = 0.77

Standard error/ of proportion = √pq/n

                                                    = √(0.23(0.77) )/ n

                                                     = √0.1771 / n

For a 95% confidence level = z = 1.96

At the 95% confidence level the confidence interval for this proportion is:

0.4 = 1.96( √0.1771 / n)

0.4 / 1.96 =  √0.1771 / n

0.2  x √n = √0.1771

√n = √ 0.1771 / 0.2

n = 443

case 2 :

Acceptable error = precision = 5%

Switched last year = p = 30% = 0.30

q = 1 –p = 1 – 0.3 = 0.7

Standard error/ of proportion = √pq/n

                                                    = √(0.3(0.7) )/ n

                                                     = √0.21 / n

For a 95% confidence level = z = 1.96

At the 95% confidence level the confidence interval for this proportion is:

0.5 = 1.96( √0.21 / n)

0.5 / 1.96 =  √(0.21 / n)

0.3  x √n = √0.21

√n = √( 0.21 / 0.3)

 = √0.7

n = 0.83

The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We have been given that the graph represents the following situation.

Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.

Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.

Since the x-axis represents a round of golf and the y-axis represents a total cost.

According to the graph,

Here is a round of golf = 55 and a total cost = $460

So the intersection represents this situation at the point (55, 460).

Therefore, the required intersection would be at the point (55, 460) in the given graph.

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