Circle P is divided into four central angles by the diameters ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ . The four central angles are ∠ , ∠ , ∠ , and ∠ .


The measure of ∠ is (+1)° and the measure of ∠ is (3–18)°.


Find the measure of ∠ to the nearest hundredth of a degree.

Answer:

a) 50yd2

b) 7ft2

Step-by-step explanation:

a) 1/2 x b x b

1/2 x 4 x 25 = 50

b) 1/2 x b x h

1/2 x 4 x 3.5 = 7

Answer:

A. 25.12 meters

..........

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

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Answer:

the lions speed would be 24 mph

Answer:

200%

Step-by-step explanation:

Answer:

y = -1/2

Step-by-step explanation:

5^3 = (5^-2)^y-1

3 = -2(y-1)

3 = -2y + 2

1 = -2y

y = -1/2

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

Answer: a

Step-by-step explanation:

Answer: B No; the graph fails the vertical line test

Step-by-step explanation:

Just took the test

Answer:

Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Step-by-step explanation:

Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:

Quarter = 0.25

Dime = 0.10

Nickel = 0.05

Penny = 0.01

0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41

0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).

0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).

0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X

0.25 + 0.30 + 0.25 + 0.02 = X

0.82 = X

Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Answer:

Radius: 2

Center: (-3, 1)

Answer:

c

Step-by-step explanation:

tye both have the same amount on each side

Answer:

c

Step-by-step explanation:

Answer:

the correct answer is 17.5%

Step-by-step explanation:

Answer:

39.06 m

Step-by-step explanation:

Given that,

Height of the building, h = 50 m

The angle of elevation at top of building is 52° when seen from a point on level ground.

We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular

B is base.

So,

[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]

So, the distance between point and foot of the building is 39.06 m

Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Recall:

The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.

Apply the trigonometry ratio, TOA:

tan ∅ = opposite/adjacent

tan 52 = 50/x

x = 50/tan 52

x = 39.1 m

Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

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Answer:

For the first question, the answer is 10%. 24000 is 10% of 240000.

For the second question, the answer is 40%. 96000 is 40% o f 24000

Let me know if this helps!

Answer:

no, because the hypotenuses must have different lengths

Step-by-step explanation:

Yes, the given two triangles DEF and ABC are congruent, if AB ≅ DE.

Given that, EFD and ABC are two triangles.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles DEF and ABC,

∠F = ∠B (Equal angles measures 90°)

DF = AC (Equal in measure, which 7 cm)

To satisfy congruence, two sides and an angle have to be equal, if AB = DE then the two triangles would be congruent.

Yes, the given two triangles DEF and ABC are congruent, if AB ≅ DE.

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☁️ Answer ☁️

I think it's the second one.

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️

Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180

If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

Answer:

2.5 hours

Step-by-step explanation:

70x+25=50x+75

step 1 subtract 25 from each side

25-25 cancels out

75-25=50

Now we have

70x=50x+75

step 2 subtract 50 from each side

70x-50x=20x

50x-50x cancels out

now we have

20x=50

step 3 divide each side by 20

20/20 cancels out

50/20=5/2 or 2.5

so we can conclude that it will take 2.5 hours of service for the services to cost the same

Answer:

9

Step-by-step explanation:

Hey There!

If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50

So all we have to do is set up an equation

z+50=30+6x-45

step 1 combine like terms

30-45=-15

now we have

z+30=6x-15

step 2 add 15 to each side

-15+15 cancels out

30=15=45

now we have

z+45=6z

step 3 subtract z from each side

z-z cancels out

6z-z=5z

now we have

45=5z

step 4 divide each side by 5

5/5 cancels out

45/5=9

z=5

so we can conclude that z=9

hope this helps :)

Answer:

Your answer is -5n=1.75

Answer:

Answer:

Step-by-step explanation:

Take 8.

None of the equations work for 8.

Next, take 1.

None of the equations work for 1 either.

Third, take 15.

None of the equations work for 15 either.

Lastly, take 46.

The equations fit perfectly.

Hope that helps!

Answer:

b

Step-by-step explanation:

Answer:

Surface area

Step-by-step explanation:

Area is the space taken up by one surface plane

Volume is the amount of space taken up by the entire object

Perimeter is the length of all the edges of the shape combined

Answer:

the first one is y=x-1/2 and the second one is y=-3x+1

Step-by-step explanation:

Answer:

D.70

Step-by-step explanation:

I think its D or B

Answer:

They found 15 shells together :)

brainliest pls :D

Step-by-step explanation:

5+(5*2)=15

Answer:

15

Step-by-step explanation:

Jayda has 5

Ruby has twice as much as that which means she has 5(2)

Ruby has ten

Combine

15

:)