(01.02 LC)Simplify 9 − (−4).

Answer:

ABC = 31

Step-by-step explanation:

Angle AOC and ABC have the angle theorem: the angle subtended at the centre of the circle is double the angle at the circumference. Its quite hard to realise the layout, because angle AOC isn't between points A and C. If angle AOC moved to the right side of line AB, it would be easier to see. Of course we cannot do this, otherwise angle AOC wouldn't be the middle anymore. Hope this helped

(a). The angle AOD is 62 degrees.

(b). The angle ABC is 31 degrees.

(a). From given diagram, It is observed that triangle AOD is a right angle triangle.

The sum of all three angles in triangle is equal to 180 degrees.

           [tex]\angle A +\angle O + \angle D = 180\\\\90 +\angle AOD +28=180\\\\\angle AOD=180-90-28=62[/tex]

(b). The central angle theorem states that the angle subtended by an arc at the center of the circle is double the angle subtended at any point on the circumference of the circle.

        [tex]\angle ABC = \frac{1}{2} \angle AOD\\ \\\angle ABC=\frac{1}{2}*62=31[/tex]

Learn more:

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Answer:

0.76

Step-by-step explanation:

6.24/8.2 = 0.76

Answer:

Domain:  ( − ∞ , ∞ ) , { x | x ∈ R }

Range:  ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

You cant show steps just when graphing it you will see

Answer:

2*6+8=20

Step-by-step explanation:

D:20

Answer:

334/667

Step-by-step explanation

chances of getting heads is 1/2

chances of getting an even number is 333/666

simply add them up

Answer:

1/4

Step-by-step explanation:

i’m assuming u meant a 6 sided die. the probability of flipping a heads would be 1/2. the probability of rolling an even number is 3/6. 3/6 times 1/2 is 3/12 or 1/4

Answer:

1. If it is not Matt's birthday, then it is not April 17th.

2. Hypothesis: You win the championship match.

Conclusion: You will receive the trophy.

3. Hypothesis: It is Independence Day.

Conclusion: It is the 4th of July.

Step-by-step explanation:

A hypothesis usually starts with "if" and goes before the conclusion.

Conclusion usually starts with "then" and goes after hypothesis.

Answer:

198.4cm squared

Step-by-step explanation:

just did all the math trust me ツ

Answer:198.4

Step-by-step explanation: First of all, I split the figure into two shapes a triangle and a square, then I found the area of the triangle (34.56) and of the square (163.84) and then added them together to reach 198.4

Answer:

5.7

Step-by-step explanation:

AD is an angle bisector

ACD and ABD have sides in the same ratio

5.1/3.2 = AB/3.6

AB = 3.6 × 5.1/3.2

AB = 5.7375

Answer:

6.3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When an expression is divided by its factor, there are no remainders.

Let's look at the number 6.

6= 1(6)= 2(3)

Thus, the factors of 6 are 1,2,3 and 6.

This is because 6 is divisible by all those numbers to give no remainders.

Let's look at the question again.

D. 2(x-a) is divisible by (x-a) since

[tex] \frac{2(x - a)}{x - a} = 2[/tex]

A.

[tex] \frac{ - (x + a) - 2}{x - a}[/tex]

This fraction cannot be simplified further

B.

[tex] \frac{ - 2(x + a)}{x - a} [/tex]

This fraction cannot be simplified either

C.

[tex] \frac{(x - a) + 2}{x - a} \\ = \frac{x - a}{x - a} + \frac{2}{x - a} \\ = 1 + \frac{2}{x - a} [/tex]

There is a remainder of 2 since 2 cannot be divided by (x-a). Thus, (x-a) is not a factor of this fraction.

Answer:

Step-by-step explanation:

The given equation in standard form can be written as

comparing with the standard equation  ,

we observe that

putting the values of a, b and c in the quardatic formula

x=(-b±)÷2a

x=(-(-9)±)÷2(2)

x=(9±)÷4

x=(9±)÷4

x=(9±19)÷4

x=(9+19)÷4  or x=(9-19)÷4

x=28÷4     or x=-10÷4

x=7   or x=-5÷2

Answer:

do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer.

Step-by-step explanation:

do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer. hope that helps!

Answer:

528 ft3

Step-by-step explanation:

Answer:

2/8 < 7/8

Step-by-step explanation:

Since the denominators are the same, we compare the numerators

2<7  so

2/8 < 7/8

Answer:

V = 136.1

Step-by-step explanation:

Use the formula [tex]V = \frac{1}{3}\pi r^{2} h[/tex]

The solution is,  the volume of the cone is 136.2inch^3.

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

here, we have,

A cone has a radius of 5.1 inches

and a height of 5 inches.

we know,

Volume =  ⅓ r²h

             =136.2inch^3.

Hence, The solution is,  the volume of the cone is 136.2inch^3.

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#SPJ1

Answer:

H-4

Step-by-step explanation:

Let's simplify step-by-step.

8+H−12

=8+H+−12

Combine Like Terms:

=8+H+−12

=(H)+(8+−12)

=H+−4

Answer:

Step-by-step explanation:

The fourth is a sum (+) not difference (-).

All others are some form of difference of squares:

[tex]169x^4-49 = \left(13x^2\right)^2-7^2[/tex]

difference of square of number 13x² and square of number 7

[tex]36-25b^2=6^2-(5b)^2[/tex]

difference of square of number 6 and square of number 5b

[tex]100-r^2=10^2-r^2[/tex]

difference of square of number 10 and square of number r

[tex]64y^2-81=(8y)^2-9^2[/tex]

difference of square of number 8y and square of number 9

Answer:

The new TV screen is 12.1 centimeters wide.

Step-by-step explanation:

Find 10% of 11:

0.10 x 11 = 1.1

Add 1.1 to the original size.

11 + 1.1 = 12.1

hope this helps

Answer:

12.1

Step-by-step explanation:

Do what that guy said

P.S

I'm just putting this here so that guy can get a Brainliest :D

Answer:

The answer is 4.

Step-by-step explanation:

5*8=40

40/4=10

Answer:

A. 9.85 inches

Step-by-step explanation:

In the graph we can see that 1 month has a rainfall of 0.4 in, 2 months have a rainfall of 0.5 in, 1 month has a rainfall of 0.6 in, 2 months have a rainfall of 0.85 in, 1 month has a rainfall of 0.95 in, 2 months have a rainfall of 1.0 in, 2 months have a rainfall of 1.05 in and 1 month has a rainfall of  1.1 in.

The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches

Answer:

its 10.75 i'm pretty sure oops never mind i thought it was 1.5 its 1.05 my mistake the answer is 9.85!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

It can be biased.

Step-by-step explanation:

Usually it is the correctness of the assignment, but with some teachers there may be bias with the grade too.

Hope this helps

Please mark me as Brainliest

Answer:

The last case shows that the two triangles are congruent by SSS congruency theorem

Step-by-step explanation:

Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent. The lengths of B C and D C are congruent.

With this case.  You have sides  AB = AD,  BC = DC,  and then can conclude that AC= AC by reflexive property  because AC is the common side.

so triangle ABC = triangle ADC  by SSS congruency

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

CASE 1.) Triangles A B C and D E C are connected at point C. Angles A B C and C E D are right angles. The lengths of sides A B and E D are congruent.  ---- You would only know  one pair of sides and one pair of angles that are congruent.

CASE 2.)  Triangles A B C and D E C are connected at point C. The lengths of sides A B and D E are congruent. The lengths of sides B C and C D are congruent. -----  You would only know 2 pairs of congruent sides.  

CASE 3.)Triangles A B C and D E C are connected at point C. The lengths of sides A C and C E are congruent. Angles B A C and C E D are congruent.  ---- You would  only know a pair of angles and a pair of sides.  Not enough for congruency.

CASE 4.) Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent. The lengths of B C and D C are congruent.

Answer:

d

Step-by-step explanation:

Answer:

According to the picture, we can have the function form as:

y = ax^2 + bx + c

The y-intercept is (0, 2) => c = 2

=> y = ax^2 + bx + c

The x-intercept is (-2, 0)

=> 4a - 2b = 0 (1)

The graph goes through (1, 1.5)

=> a + b + 2 = 1.5

=> a + b = -0.5 (2)

From (1) and (2)

=> 4a - 2(-a - 0.5) = 0

=> 6a + 1 = 0

=> a = -1/6 => b = -0.5 - (-1/6) = -1/2 + 1/6 = -15/30 + 5/30 = -10/30 = -1/3

=> y = (-1/6)x^2 -(1/3)x + 2

Hope this helps!

:)

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

Answer:

3/36 = 1/12

Step-by-step explanation:

Total Outcome - 36

Possible Outcome - 4,6 5,5 6,4 : 3

Answer:D

Step-by-step explanation:

Answer:

$1,821.00.

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 2,428 × 25/100

Discount = 2,428 x 0.25

Discount: $607.00

Final Price: $1,821.00

Answer:

The answer is $1821

Step-by-step explanation:

$2428/4=607

607*3=1821

Answer:

is this a question

Step-by-step explanation:

Answer:

ik can u make a question and put ur face on da question so i can see you?????

Step-by-step explanation:

Answer:

Step-by-step explanation:

it’s inside

Answer:

3x = 90, so x = 30.

2(30) + 3y = 90

60 + 3y = 90

3y = 30

y = 10

The correct answer is A.