Question 9 of 44 What is the measure of 0 ?
A. 2.5. radians
B. 4 radians
C. 5 radians
D. 2.5 Π radians ​

Let's see

[tex]\\ \tt\leadsto A=P(1+r/n)^{nt}[/tex]

[tex]\\ \tt\leadsto A=1200(1+0.055)^t[/tex]

[tex]\\ \tt\leadsto A=1200(1.055)^t[/tex]

Answer:

[tex]\sf A=1200(1.055)^t[/tex]

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the equation:

[tex]\implies \sf A=1200(1+0.055)^t[/tex]

[tex]\implies \sf A=1200(1.055)^t[/tex]

Learn more about compound interest here:

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Answer:

AB IS THE ANSWER !!!!!!!!!!

Answer: AB

Step-by-step explanation:

Hi! I don't know if you need help anymore ,but here you go!

Because BC=ED, I asume that AE=AB

Answer:

yes

Step-by-step explanation:

if you change it to standard form, it would be

y=1/2x

because it's in the format of y=ax then it is direct variation

Answer:

Discount amount = $328.73

Step-by-step explanation:

Below is the calculation for the discount amount:

The marked price of bicycle = 2000

Purchase price = Rs 1921

VAT = 13%

First find the purchase price excluding VAT = 1921  - (13% of 1921) = 1671.27

Discount amount = 2000 - 1671.27

Discount amount = $328.73

Answer:

y = 4 x − 4

Step-by-step explanation:

Answer:

.33x = 105.60

$371

Step-by-step explanation:

Answer:

63.44

Step-by-step explanation:

its 63.44697 but you round so its 63.44

Answer:

Nancy gained 5.075 pounds.

Step-by-step explanation:

5/8=0.625

37.625

42.7-37.625=5.075

Answer:

Step-by-step explanation:

The solution triangle attached below :

Since we have a right angled triangle, we can make use of Pythagoras rule to obtain the vertical distance, x

Recall :

Hypotenus² = opposite² + adjacent²

Hence,

x² = 61² - 60²

x² = 3721 - 3600

x² = 121

x = √121

x = 11

Vertical distance equals 11 inches

Answer:

Step-by-step explanation:

Given right triangle with:

Use Pythagorean and solve for s:

Answer:

19 trains

Step-by-step explanation:

Firstly, we need to calculate the difference in the number of hours

From the question, we have 7 am to 11 pm

7 am to 7 pm is 12 hours

7 pm to 11 pm is 4 hours

So total is 16 hours

16 hours to minutes is multiplied by 60 minutes

We have this as;

16 * 60 = 960 minutes

so to get the number of trains, we simply have to divide the number of minutes by 50

Mathematically, we have this as 960/50

= 19.2

Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19

Answer:

5v2 – 125 = 0

5(v2−25)=0

v2−25=0

a couple more steps and the answer is...

v=-5

9514 1404 393

Answer:

   (s, t) = (2, 4)

Step-by-step explanation:

We can eliminate the t variable by subtracting the first equation from half the second.

  (1/2)(8s +8t) -(3s +4t) = (1/2)(48) -(22)

  s = 2

  3(2) +4t = 22

  4t = 16

  t = 4

The solution is (s, t) = (2, 4).

Step-by-step explanation:

6/10 > _ > 1/3

3/5 > _ > 1/3

½(⅗+⅓)

½(9+5/15)

½(14/5)

=7/15

Answer:

7/15

Step-by-step explanation: 10 and 3 LCM is 30

6/10 x 3 =18/30 and 1/3x 10= 10/30

10/30 and 18/30 average is 14/30 which simplified is 7/15

The answer is 7/15

Hope it helps

Answer:

Option D

Step-by-step explanation:

In the given triangles ΔABC and ΔDEF,

∠A ≅ ∠D

AB ≅ DE

By SAS property of congruence of two triangles,

Two sides and the included angle of one triangles should be congruent to corresponding two sides and the included angle of the other triangle.

Therefore, AC ≅ FD will be the desired property to prove the given triangles congruent.

Option D will be the correct option.

Answer:

Step-by-step explanation:

Answer:

ಠ_ಠ

Step-by-step explanation:

Answer:

angles A and C are congruent

Answer:

P>-6/5

Step-by-step explanation:

2(P+1)+3(P+2)>2

Use the distributive property to multiply 2 by P+1

2P+2+3(P+2)>2

Use the distributive property to multiply 3 by P+2

2P+2+3P+6>2

Combine 2P and 3P to get 5P

5P+2+6>2

Add 2 and 6 to get 8

5P+8>2

Subtract 8 from both sides

5P>2−8

Subtract 8 from 2 to get −6.

5P>−6

Divide both sides by 5. Since 5 is positive

P>−6/5

​  

Step-by-step explanation:

Option B is correct. Refer to the attachment!

Answer:

(x, y) = (-34,-19)

Step-by-step explanation:

...................................................

Answer:

a) r ⋀~p

b)(r⋀p)⟶q

c) ~r ⟶ ~q

d) (~p ⋀r) ⟶q

Step-by-step explanation:

To solve this question we will make use of logic symbols in truth table.

We are told that;

p means "The user enters

a valid password,”

q means “Access is granted,”

r means “The user has paid the

subscription fee”

A) The user has paid the subscription fee, but does not enter a valid

password.”

Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p

B) Still using logic symbols, we have;

(r⋀p)⟶q

⟶ means q is true when r and p are true.

C) correct symbol is ~r ⟶ ~q

Since both statements are negation of the question. And also, if ~r is true then ~q is also true.

D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q

Answer:

Step-by-step explanation:

The answer b

Explanation:

The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.

The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]

Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]

Since we get m^12, this points us to choice C as the final answer

For the sake of completeness, here's what the n terms divide to

[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]

Answer:

Correct option is

C

10

5

10P

5

Total ways in which one passenger can stop =10

Total ways in which 5 passengers can stop =10∗10∗10∗10∗10

=10

5

We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other

No. of ways in which no two persons stop at the same floor =10C

5

∗5!

=10P

5

⇒P(E)=10P

5

/10

5

Answer:

[tex]37 \frac{7}{12}[/tex] inches.

Step-by-step explanation:

Let's start by converting all of these mixed numbers to improper fractions to handle them a little better.

56 × 4 = 224 ⇒ 224 + 1 = [tex]\frac{225}{4}[/tex]

18 × 3 = 54 ⇒ 54 + 2 = [tex]\frac{56}{3}[/tex]

So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.

225 × 3 = 675

56 × 4 = 224

[tex]\frac{675}{12} - \frac{224}{12}[/tex] = [tex]\frac{451}{12}[/tex]

[tex]\frac{451}{12} = 37 \frac{7}{12}[/tex]

So, the answer is [tex]37 \frac{7}{12}[/tex] inches.

Answer:

Length of first cut = 140

Length of second cut = 60

Step-by-step explanation:

Given:

Length of wire = 200

Find:

Length of each cut

Computation:

Assume;

Side of first square = x/4

Side of second square = [200 - x] / 4 = 50 - x/4

So,

[x/4]² - [50 - x/4]²

x²/16 - x²/16 - 2500 + 25x = 1000

- 2500 + 25x = 1000

25x = 3500

x = 140

Side of first square = 140/4

Side of first square = 35

Side of second square = 50 - 140/4

Side of second square = 15

Length of first cut = 4 x 35

Length of first cut = 140

Length of second cut = 200 - 140

Length of second cut = 60

Answer:

60 ft and 140 ft

Step-by-step explanation:

Total length = 200 ft

Let the length of one piece is L and other is 200 - L.

[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]

So, the length of the other piece is 140 ft.

Answer:

That number is 39

Answer:

73.3333....

Step-by-step explanation:

please mark me brainliest

Answer:

a: t=13.6 cm

b: h=12.9 mm

Step-by-step explanation:

Hi there!

Let's start with a

in a, we are given a right triangle (notice the right angle), the length of the hypotenuse (the side OPPOSITE from the right angle) as 18 cm, one acute angle given as 41° and the length of one of the legs (the legs are the sides that make up the right angle) as t

We're asked to use the primary trigonometric ratios

Those ratios are:

Sine, which is opposite/hypotenuse

Cosine, which is adjacent/hypotenuse

Tangent, which is opposite/adjacent

We will be basing the ratio off of the 41° angle, so let's find out which sides will be which in reference to that angle

The opposite side will be the other leg, the unmarked side

The adjacent side will be t

The hypotenuse will be the side marked as 18 cm

So let's use cos(41) in this case

cos(41)=t/18

Plug cos(41) into your calculator, and remember to have the calculator in degree mode

cos(41)≈0.8 (rounded to the nearest tenth)

0.8=t/18

multiply both sides by 18

13.6 cm=t

It's already rounded to the nearest tenth :)

b.

We are given a right triangle, and the lengths of the legs as h and 9 mm, as well as one acute angle as 35°

We'll be basing our ratio off of the 35 degree angle, so let's find which sides will be which in reference to that angle

The opposite side will be the leg marked as 9 mm

The adjacent side will be the leg marked as h

The hypotenuse will be the unmarked side

Since we are given the lengths of the opposite and the adjacent, let's use tan(35)

tan(35)=9/h

Plug tan(35) into your calculator, and remember to have it in degree mode

tan(35)≈0.7

0.7=9/h

multiply both sides by h

0.7h=9

divide both sides by 0.7

h=12.9 mm (rounded to the nearest tenth)

Hope this helps!

Answer:

The answer is "18.087 years".

Step-by-step explanation:

For upper class:

[tex]\mu=15.45 \ years\\\\\alpha=2.98 \ years\\\\[/tex]

[tex]P(Z \leq 1.2)[/tex] from the standard normal distribution on the table:

[tex]P(Z \leq 1.2) =0.8849\\\\x=z_{\alpha}+\mu\\\\[/tex]

  [tex]=0.8849 \times 2.98 +15.45\\\\ = 2.637002+15.45 \\\\=18.087 \ \ years\\[/tex]

Question attachment below

Answer and explanation:

Data patterns are repeated data occurrences in a certain way that is recognizable.

In the example below, the data pattern shows taller people require larger shoe sizes(the taller the person the larger the shoe size) but does make some exceptions. Example: while Denver is taller and requires a larger shoe size, Eduardo is shorter than Tim and still requires a larger shoe size than Tim.