Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180

Answer:

1125 in²  

Step-by-step explanatio1D

Assume that the staircase is three steps high, as in the diagram.

Each tread has a surface area of

10 in × 25 in = 250 in²

Each riser has a surface area of

5 in × 25 in = 125 in²

There are three treads and three risers, so the total surface area is

3 × 250 in² + 3 × 125 in² = 750 in² + 375 in² = 1125 in²

The surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed. Surface area of a cuboid is the sum of total area of each face.

The image of the staircase is shown below. This small staircase is made so that the horizontal piece of each step 10 inches long and 25 inches wide.

Thus, the surface area of the trade of stair case is,

[tex]A_{t}=10\times25\\A_{t}=250\rm\;in^2[/tex]

Each step is 5 inches above the previous one. Thus, the surface area of the riser of stair case is,

[tex]A_{r}=25\times5\\A_{r}=125\rm\;in^2[/tex]

Total surface area of one step is,

[tex]A_{s}=3(A_{t}+A_{r})A_{s}=3(250+125)\\A_{s}=3(375)\\A_{s}=1125\rm\;in^2[/tex]

Hence, the surface area of the small staircase which is made such that the horizontal piece of each step 10 inches long and 25 inches wide is 1125 in².

Learn more about the surface area here:

https://brainly.com/question/20771646

Answer:

58 degrees

Step-by-step explanation:

In a rectangle, the two diagonals form four isosceles triangles. This means triangle EBC is isosceles. In an isosceles triangle, the two base angles are the same. So, angles EBC and BCE are both 61. Now, in a triangle, the three angles add up to 180. So, 61+61=122, and to find angle CEB you need to subtract 180-122. 180-122=58 degrees.

Answer:

58°

Step-by-step explanation:

to find m∠CEB

triangle CEB is formed by the two parts of rectangle diagonals (and BC), and as we know, diagonals bisect each other, thus EB is congruent to EC, and it is an isosceles triangle

We also know that angles opposite congruent sides are congruent, thus,

angles EBC and ECB are congruent

thus angle ECB= 61°

We know that the inner angle measures of a triangle according to Angle Sum Theorem add up to 180°

Thus,m angle EBC + m angle ECB + m angle CEB= 180

Now we know that both EBC and ECB are angles with the measure of 61 °, so lets put the measures in instead of angles into the equation

61+61+m angle CEB=180

122 + m angle CEB =180

         m angle CEB=180-122

        m angle CEB=58°

Answer:

[tex]( Exactly ) 5.25\pi[/tex]

Step-by-step explanation:

[tex]See Attachment Below;[/tex]

Answer:

Step-by-step explanation:

Denominators (m +n) & (m- n) doesn't have any common factors.

So to find the lowest common denominator, multiply them

LCD = (m+n) (m-n)

Answer:

  -2 < w ≤ 6

Step-by-step explanation:

The inequalities you're asked to combine are ...

  -2 < w

  6 ≥ w

Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...

  -2 < w

  w ≤ 6

You combine these by putting w in the middle:

  -2 < w ≤ 6

_____

Alternate solution

I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...

  6 ≥ w > -2

Answer:

10*x > 4x-2

Step-by-step explanation:

Following the instructions we get the above inequality.

Answer:

10x > 4-2

Step-by-step explanation:

Answer:

50% if your looking at %

Isolating the variable terms and dividing by 4, we have [tex]x^2=-\frac{9}{4}.[/tex] Taking the square root, we have [tex]\boxed{x=\frac{3i}{2},-\frac{3i}{2}}.[/tex]

Answer:

$1,867.07 monthly payment

Step-by-step explanation:

1. Define variables to calculate the monthly payment for loans, using:

A = total loan amount (how much you borrow)

R = annual interest rate (in %)

N = number of payments per year

2. Use this formula to calculate monthly payment (M):

[tex]M = A* \frac{R}{N}[/tex]

3. Substitute variables with values from excercise as below (11.4% = 0.114):

[tex]M = 190000 * \frac{0.114}{12} = 1867.07[/tex]

4. The calculated result is a monthly payment installment in given currency (in this case $)

Answer:

13

Step-by-step explanation:

f(10)=10/2+8

f(10)=5+8

f(10)=13

Hey there!

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

To find f(x) when x = 10, simply substitute '10' for 'x'.

[tex]f(x) = \frac{x}{2} + 8[/tex]

Subsitute in '10' for 'x':

[tex]f(10) = \frac{10}{2} + 8[/tex]

Simplify:

[tex]f(10) = 5 + 8[/tex]

[tex]f(10) = 13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:g

2

Step-by-step explanation:the is answer is by the multiply the numbers

Answer:

(h+7j)*(h+2j)

Step-by-step explanation:

h^2+7hj+2hj+14j^2

h*(h+7j)+2j*(h+7j)=(h+7j)*(h+2j)

So the right answer is (h+2)(h+7j)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

______________________________

The other leg equals 24 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

___________________________.

Answer:

The answer is 112 ft squared

Step-by-step explanation:

Answer:

12 cm

Step-by-step explanation:

x/36=5/15

x=36/3

x=12 cm

Answer:

x = 12

Step-by-step explanation:

As you can see here, the sides are proportional to each other. You can use ratios in order to find x.

15:5 = 36:x

Answer:

The second one. -0,55 > -0.8

Step-by-step explanation:

The point in the right is -0.55, the other one (left) is -0.8. -0.55 is greater than -0.8.

Answer:

right angle

Step-by-step explanation:

the square in the corner means it is 90 degrees, making it a right angle

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2.5*1.5*1

Answer:

15 cubic inches

Step-by-step explanation:

Answer:

one option could be : 7x+21 and 2

Answer:

excluded value is 1/2

Step-by-step explanation:

The excluded value is the value when the denominator is equal to zero

1 -2x =0

Subtract 1 from each side

-2x = -1

Divide by -2

-2x/-2 = -1/-2

x = 1/2

The excluded value is 1/2

Answer:

i think it is the 3 one from the left side

Step-by-step explanation:

Answer:

a^(2+m)

Step-by-step explanation:

We can simply add the exponents together because they have the same base which will give us a^(2 + m).

Answer:

a^[2+m]

Step-by-step explanation:

When multiplying two polynomials with the same base but different exponents, we add the exponents because

a^m*a^n

= a^m+n

So,

a^2*a^m

= a^2+m

Since it can't be solved anymore this is the simplest form

Answer:

A.

Step-by-step explanation:

for a single element of x there is an element in y, so observing we see that no number is repeated in the ordinate x of the coordinates

Answer: C. (-1, -4) and (4, 6)

Step-by-step explanation:

Answer:

y = -3x + 12

Step-by-step explanation:

Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (1, 9) and Gradient (m): -3

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - (9) = -3(x-1)

This becomes:

y -9 = -3x +3

Keep solving by moving the 10 over to the other side:

y = -3x + 3 +9

y = -3x + 12

An easy way to double check:

1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.

2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer:

a) 1.50 m/s²

b) 675m

c) 11.25 m/s

Step-by-step explanation:

1. a) Acceleration can be found from the gradient of a speed-time graph, which is the graph we have here.

Notice that the graph from t=0 to t=10 has the same gradient thoughout (since it is a straight line). Hence, the acceleration when t=4 is the same as the acceleration from t=0 to t=10.

To find the gradient of the graph from t=0 to t=10, use the gradient formula below:

gradient=[tex] \frac{y1 - y2}{x1 - x2} [/tex]

The coordinates of the point at t=0 is (0,0) and the point at t=10 is (10,15).

Thus, gradient

[tex] = \frac{15 - 0}{10 - 0} \\ = \frac{15}{10} \\ = 1.5[/tex]

Therefore the acceleration when t=4 is 1.50 m/s².

*Acceleration is the rate of change of velocity (or speed).

b) Distance travelled can be found by calculating the area under a speed-time graph.

The area under the graph is the orange trapezium that the question has shaded for you already.

Formula for area of trapezium= ½(a+b)(height)

a+b is the total length of the two parallel horizontal lines of the trapezium.

Let the top line be a and the bottom line be b.

length of a= distance between (10,15) and (40,15)

Length of a

= 40 -10

= 30 units

Length of b

= 60 -0

= 60 units

height of trapezium= 15 units

Area of trapezium

= ½(30 +60)(15)

= 675 units²

Thus, the distance travelled is 675m.

c) Avg speed= total distance ÷ total time

From part b, we know that the total distance travelled is 675m. The total time is 60s since the graph is from t=0 to t=60.

Hence, average speed

= 675 ÷60

= 11.25 m/s

Answer:

p = 86/250 = 0.344

z_c = 1.65 at 90% confidence.

margin of error, E = sqrt(pq/n)*z_c

= sqrt(0.344*(1-0.344)/250)*1.65

= 0.0496

90% CI = (p -E , p + E)

= (0.344 - 0.0496 , 0.344 + 0.0496)

= (0.2944, 0.3936) (Ans.)

Step-by-step explanation:

Answer:

[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]

These all thave the same quotient of 3.2

Step-by-step explanation:

The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.

To find 2 mixed number or fraction with a quotient 3.2.

We can write 3.2 in the fractional form:

[tex]3.2 = \frac{32}{10}[/tex]

Now multiply both the numerator and denominator with 2, we get

[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]

which also has the quotient 3.2

Similarly, multiply both numerator and denominator of 32/10 by 3, we get

[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]

whici also has the quotient of 3.2

Similarly we can go on to find as many values as we want with the same quotient.