Find the area of the shaded sector it the radius of the circle is 1.5

Answer:

40 cm equals 400 millimeters

I hope this helps you

The given expression is :

The number line will be :

Answer:im not forsure

Step-by-step explanation:

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

For more question on lengths visit:

https://brainly.com/question/28322552

#SPJ8

Step one: (((x2)+x)+1)+((0-(2x23•x))+5)

Step two: Check for a perfect cube.  2.1    -2x24+x2+x+6  is not a perfect cube.

2.2      Factoring:  -2x24+x2+x+6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x+6

Group 2:  -2x24+x2

Pull out from each group separately :

Group 1:   (x+6) • (1)

Group 2:   (2x22-1) • (-x2)

The groups have no common factor and can not be added up to form a multiplication.

So the answer would be,  -2 (x24) + (x2) ++ 6.

Answer:

c) 5, -5

Step-by-step explanation:

5 + (-5)

= 5 - 5

= 0

The answer is you can fit 18 books on the bookshelf. :)

You can fit 18 books perfectly.

We have a bookshelf of given dimensions.

We have to determine how many books can fit in this shelf.

There are 12 inches in 1 feet.

According to the question, we have -

Length of bookshelf = \($3\frac{1}{2}\) feet  = \($\frac{7}{2}\) feet = \($\frac{7}{2} \times 12\) inches = 42 inches.

Width of each book - \($2\frac{1}{4}\) inches = \($\frac{9}{4}\) inches.

Assume that the total number of books that can fit in a bookshelf is x. Therefore -

x = \($\frac{42}{\frac{9}{4} } =42\times \frac{4}{9}\)

x = 18.66 = 18 books (Approx.)

Hence, you can fit 18 books perfectly.

To solve more questions on quantity estimation, visit the link below-

https://brainly.com/question/21854275

#SPJ2

Answer:

2.95 i think

Step-by-step explanation:

Answer:

y=−9/7x+18/7

Step-by-step explanation:

2x+7y+7x=18

9x+7y=18

Step 1: Add -9x to both sides.

9x+7y+−9x=18+−9x

7y=−9x+18

Step 2: Divide both sides by 7.

7y/7=−9x+18/7

y=−9/7x+18/7

Given :

To Find :

Solution :

\(\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}\)

Adding the like terms :

\(\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}\)

Transposing 9y to the other side which then becomes negative :

\(\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}\)

Dividing both sides by 7 :

\(\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}\)

\(\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}\)

⠀

Therefore, the value of y = 18 – 9x/7 .

Answer:

it would be 5.41 x 10^2

Step-by-step explanation:

the reason it would be this is because when you have it ^2 you love the decimal that many places the same goes for the number was negative then you would move it backwards.

Answer:

The answer is 5.41 × 10^2

Step-by-step explanation:

To make sure the answer is right, picture a decimal on the right of the 1 in the numeral. Then, picture it going to the left until it's next to the 5. Since it moved twice, the exponent is 2 and the decimal is 5.41. Hope this helps!

\( - 13 = \frac{w}{9} - 6 \\ - 13 + 6 = \frac{w}{9} \\ - 7 = \frac{w}{9} \\ w = - 63\)

so only -63 is the solution, the rest three are NOT solution for this equation.

Answer:

35ft squared

Step-by-step explanation:

First lets try solving the rectangular middle part

Width is 3 ft

Height is 5ft + 4ft = 9ft

3*9ft= 27ft. This is area of middle rectangular section

For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.

11-3=8

8/2=4

Triangle area formula = Base*Height / 2

4*4/2

16/2

4ft squared

and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up

27ft+4ft+4ft=35ft squared

35ft squared is the answer.

Hope this helps :)

The input- output table for the total cost of the amusement park charges is made.

For the given question;

The admission charge of the amusement park = $15 (including 5 rides).

For extra rides $1.50 per ride.

Let r be the total rides.

Let n be the extra rides above 5 rides.

Let C be the total cost of the ride.

Then, the liner equation forming the condition is;

C = 1.5n + 15.

For n = 1, 2 , 3...

The value of C will be determined.

Thus, the input- output table for the total cost of the amusement park charges is made.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ13

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Learn more about length at https://brainly.com/question/28322552

#SPJ1

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

Answer:

2%

Step-by-step explanation:

Answer:

Jose can buy 0.086 shares at $15.88 with his dividend of $1.36 on each of his 398 shares.

Step-by-step explanation:

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

For such more questions on velocity

https://brainly.com/question/25749514

#SPJ8

When they left in the opposite direction Peggy sue driving at 55 mph.

The relative speed between two objects and their net speed difference.

If they go in opposite directions we add their speeds and if they go in the same direction we subtract their speeds.

Given, Pearly drives 20 mph faster than Peggy sue drives.

Assuming the speed of Peggy to be x mph, hence the speed of Pearly to be (x + 10)mph.

Also given, They left their dorm room at the same time and headed in opposite directions. After 9 hours they were 1080 miles apart.

∴ x + (x + 10) = 1080/9.

2x + 10 = 120.

2x = 110.

x = 55.

So, the speed of Peggy is 55 mph and the speed of Pearly is 65 mph.

learn more about relative speed here :

https://brainly.com/question/11476119

#SPJ1

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

The linear equation that represents Clara's distance is: y = 7t + 12.

Given m as unit rate, and b as initial value, a linear equation can be expressed as, y = mx + b.

In the scenario given in the question:

Therefore, the linear equation that represents Clara's distance is: y = 7t + 12.

Learn more about linear equations on:

https://brainly.com/question/4074386

To be a proportional relationship betwen x and y, there has to be only this two variables and a number multiplying one or both of them:

Let a and b be constants. So, from your question, there's only one that meets the requeriments:

The other options have another constant (number) in addition, so the relationship is not proportional anymore.

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Learn more about monthly installment at https://brainly.com/question/3260195

#SPJ1