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Answer:

Area: ½ × base × height

Perimeter: sum of side lengths of the triangle

of vertices: 3

Number of edges: 3

Internal angle: 60° (for equilateral)

Sum of interior angles: 180°

Step-by-step explanation:

Given:

The radius of the circle = 12 in.

The central angle of the intercepted arc PQ = 135 degrees.

To find:

The measure of arc PQ.

Solution:

The length of arc is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Substituting [tex]r=12,\pi=3.14,\theta=135^\circ[/tex] in the above formula, we get

[tex]s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}[/tex]

[tex]s=75.36\times 0.375[/tex]

[tex]s=28.26[/tex]

[tex]s\approx 28.3[/tex]

The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).

Step-by-step explanation:

Can you re-do it and send like an example for it THANK YOU SM

Step-by-step explanation:

There is a difference between the numbers that is 6

So...

y=6x+5

Answer:

6x+5

Step-by-step explanation:

1 x 6=6+5=11

Answer:

$26.40

Step-by-step explanation:

40% of 44 is 17.6.

44-17.6 = 26.40

Answer:

(1,-7)

Step-by-step explanation:

1) (5,-4). 4 units to the left will be (1,-4)

2) (1,-4). 3 units down will be (1,-7)

Answer:

18

Step-by-step explanation:

range= max-mini

21-3=18

Answer:

i only know one, which is c and 2

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

A. 32 sq. units

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height.

In this case, the base is 8.

However, the height is unknown.

According to the word problem, the height is HALF the base.

To find half of the base, we divide it by 2.

8 / 2 = 4

4 is the height.

Lastly, multiply as usual.

Base ⋅ height:

8 x 4 = 32.

Therefore, the area of the parallelogram is 32 sq. units.

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Find out more information about probability here

https://brainly.com/question/14395172

#SPJ2

a = 8

b = 1/4

c = 1

hope this helped :)

Answer:

ax= 8x, by=1/4y and c=1 try that

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

His salary will be of $343.

Step-by-step explanation:

Frederick's salary varies directly with the hours he works.

This means that this question can be solved by proportions, using a rule of three.

We have that:

For 33.5 hours, he earned $328.30. How much he earns for 35 hours?

33.5 hours - $328.30

35 hours - $x

Applying cross multiplication:

[tex]33.5x = 328.30*35[/tex]

[tex]x = \frac{328.30*35}{33.5}[/tex]

[tex]x = 343[/tex]

His salary will be of $343.

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

Answer:

D. 69°

Step-by-step explanation:

Opposite angles are congruent.

Answer:

N is also 69 so the an is D) 69

Step-by-step explanation:

Answer:

Wait nvm sorry point A is at (1,-5) so the answer is B

Step-by-step explanation:

Answer:

1 hour=8.5miles

Step-by-step explanation:

if the boat traveled 17 miles in 2 hours then in 1 hour the boat traveled, because 17/2=8.5

idek if this answers your question but 8.5*72=612

Answer:

D

Step-by-step explanation:

she has 280 and no more so 280 divided by 8 is 35

Answer:

D is the correct answer

Step-by-step explanation:

280/8=35

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.

Answer:

90/6 is the answer

Step-by-step explanation:

Answer:

15/71

Step-by-step explanation:

(

71

2

x)(3)

4

=

45

8

(

71

2

x)(3)*(8)=(45)*(4)

852x=180

Step 2: Divide both sides by 852.

852x

852

=

180

852

9514 1404 393

Answer:

  $248.81

Step-by-step explanation:

The interest formula is ...

  I = Prt

where principal P earns interest at annual rate r for t years. Here, t is a fraction of a year: 172/365. The interest is ...

  I = $4400×0.12×172/365 ≈ $248.81

You will pay interest of $248.81.

Answer:

Step-by-step explanation:

Answer:

cool dude

Step-by-step explanation:

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term

Yo⁣u ca⁣n downloa⁣d th⁣e answe⁣r her⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

y = -2x + 1.5

Step-by-step explanation:

line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2

(y - -4.5) / (x - 3) = -2   ... pass (3,-4.5)

y + 4.5 = -2x +6

y = -2x + 1.5

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps