In the given circle with the centre O,
angle ABC = 100° angleACD = 40° and CT is a tangent to the circle at C. Find Angle ADC and Angle DCT.
​

The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units

The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2

where:

r is the radius

Ф is the subtended angle

Given the following

r = 6 units

Ф = 42degres

Area of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units

Hence the area of the sector rounded to the nearest hundredth is 13.19 square units

Learn more on area of sector here: https://brainly.com/question/22972014

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the unit rate (r) ~

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]

Take two points

Slope:-

Answer:

Step-by-step explanation:

Let x and y be the large (x) and small (y) vases the potter makes in one week.

We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase.  The combination of large and small vases made in one week thus requires a total time of:

          6x + 1.5y = total hours/week

We are told that the potter works 30 hours per week, so:

        6x + 1.5y = 30 hours

We also learn that she needs to make at least 6 vases in a week, so:

        x + y => 6

Plot the two equations:

6x + 1.5y = 30, and

x + y => 6

This will produce the attached grap, Vases1.  The inequality appears as the shaded area in the upper area.  Any point in the shaded area satisfies the inequality of x + y => 6.  The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).

The lines intersect at (4.67,1.33).  This represents a fictional combination of 4.67 large and 1.33 small vases.  This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours.  If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0).  (x,y or large,small).  All combinations result in 6 vases, but eould require less than the 30 hours of time available.  Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4).  This area is shown in Vases2.  The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.

Answer:

48 by 10 because

[tex]480\div 10 = 48[/tex]

therefore the wall dimensions are 48 by 10

Answer:

17,900 mg

Step-by-step explanation:

I took the k12 test today

Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.

The profit is given by the subtraction of the revenue by the total costs.

In this problem:

6 - 2 = 4, hence she makes a profit of $4.

More can be learned about the profit concept at https://brainly.com/question/4001746

Answer:

1. the, from, although, won't he, ourselves

2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.

3. was, worked

Step-by-step explanation:

Hope this helps!

Answer:

7m

Step-by-step explanation:

The length is 3.5 cm

Since teh scale is 1 cm = 2m

3.5 cm = 2(3.5) m

3.5 cm = 7 m

Therefore our answer is 7m

Answer:

7m

Step-by-step explanation:

i multiplied both sides by 2

because

1cm = 2m so 2 divided by 1 is 2

2.5 times 2 is 5m

3.5 times 2 is 7m

actual area is

5 times 7 which is =

35m^2

Answer: 6.28

Step-by-step explanation: Using the formula 2×pie×radius

Circumference=2×3.14×1

=6.28

Answer:

Step-by-step explanation:

C = circumference

r = radius

d = diameter

C = 2[tex]\pi[/tex]r or C = [tex]\pi[/tex]d

I will be using the second formula since it is what I prefer but please note that when using the first the only thing being multiplied by two is the radius, not pi.

d = 2r

d = 2 * 1

d = 2

C = 2[tex]\pi[/tex]

Answer:

390

[tex]\frac{26x30}{2} =390[/tex]

Hope This Helps! :)

Answer:

BC= 24, DE= 15

Step-by-step explanation:

You can use the Pythagroean theorem which is a^2+b^2=c^2.

So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.

EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.

Answer:

there are 5

Step-by-step explanation:

Answer:

$92.74 = 0.06m + $10

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Step-by-step explanation:

m represents the number of minutes, which we have been told are charged at $0.06 per minute.

$10 is the constant because he is charged this every month.

Set up the equation with these numbers:

92.74 = 0.06m + 10

Now solve the equation

Subtract 10 from both sides to get m by itself:

92.74 - 10 = 0.06m + 10 - 10

82.74 = 0.06m

Divide each side by 0.06 to get m as a whole number

92.74/0.06 = 1545.67

0.06m/0.06 = m

Therefore

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Explanation:

22 = 2*11

18 = 2*9

We see that 2 is the GCF of 22 and 18. It's the largest shared factor.

Now use the distributive property to say the following

22 + 18

2*11 + 2*9

2(11+9)

To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.

Answer:

6.7 per unit

Step-by-step explanation:

a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.

An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).

a) The height of the cliff is found by evaluating the function at d = 0:

h = - 0.5 · 0² + 0 + 12

h = 12 ft

The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]

b) The intercept form of the quadratic function is found by algebraic procedures:

h = - 0.5 · d² + d + 12

h = - 0.5 · (d² - 2 · d - 24)

h = - 0.5 · (d - 6) · (d + 4)

The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]

c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]

d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]

e) The relation is graphed below. [tex]\blacksquare[/tex]

To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/5975436

Answer:

$32

Step-by-step explanation:

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Answer:

C. (x - 1) (x^2 + x +1 )

Step-by-step explanation:

    x^2       +x       +1  

x   x^3     x^2     x

-1  -x^2       -x       -1

If you multiply it out it equals the answer

Answer:

add them to get the answer then times 2 to it

Step-by-step explanation:

2,037 + 366 = 2,403

Answer---2,403

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

Answer:

x -2    y + 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

First, add the two mixed numbers together.

[tex]1 + 2 = 3[/tex]

[tex]4/7 + 3/14 = 11/14[/tex]

Combine the equation and number.

 [tex]3 + 11/14 = 3 \frac{11}{14}[/tex]

  [tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7

Therefore, the answer is 1/2

Answer:

5360

Step-by-step explanation:

5000*1.072=5360

The expression a/b * c/d is an illustration of number types

The expression is given as:

a/b * c/d

Next, we test the given numbers

(a) 8.96

Express 8.96 as a fraction

8.96 = 896/100

Express the numerator and the denominator as products

8.96 = (224 * 4)/(50* 2)

Split the fraction

8.96 = 224/50 * 4/2

The above equation shows that 8.96 can be written in the form a/b * c/d.

Hence, the truth value of 8.96 is yes

(b) 5√6

Express 5√6 as a product expression

5√6 = 5 * √6

Evaluate the product

5√6 = 12.2474.....

The result of 5√6 is a non-terminating decimal

Hence, the truth value of 5√6 is no

(c) 15

Express 15 as a fraction

15 = 90/6

Express the numerator and the denominator as products

15 = (9 * 10)/(3 * 2)

Split the fraction

15 = 9/3 * 10/2

The above equation shows that 15 can be written in the form a/b * c/d.

Hence, the truth value of 15 is yes

(d) π/4

Express π as 22/7

π/4 = 22/7/4

Rewrite the expression as products

π/4 = 22/7 * 1/4

The above equation shows that π/4 can be written in the form a/b * c/d.

Hence, the truth value of π/4 is yes

Read more about numbers at:

https://brainly.com/question/24670740

Answer:

18.4

Step-by-step explanation:

Well the square root of 84 isn't an exact answer.

But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.

So 9.2 + 9.2 = 18.4.

So the answer is ≈ 18.4

Have a good day or night wherever you are. May GOD Bless You!!

Answer:

=> 18.3303028 or 18.4

Step-by-step explanation:

=> √84 +√84 {√84 = 9.16515139 or 9.2}

=> 18.3303028 or 18.4

4/52 = 1/13

hope it helps...!!!

8(2y+y)

hope it helps!!!

Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.

Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:

p = 7/10 = 0.7 = 70%.

Hence, there is a 70% experimental probability that a shark with red eyes is not picked.

For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.

More can be learned about probabilities at https://brainly.com/question/14398287