Worth 100 points IF answered correctly:

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

Using identities

Applying to the given statements, we can see the second one is valid.

Correct choice is B

Answer:

Only statement 2 is valid

Step-by-step explanation:

Let's see how

[tex]\\ \rm\rightarrowtail x^3+216[/tex]

[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]

Hence verified

Answer:

if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.

since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435

Answer:

Step-by-step explanation:

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

Answer:

domain is just all of the x values while range is all of the y values

so domian is

1,2,3,5,7,8

there are 2  5's but you only put 1

never put two of the same number for range or domain

Step-by-step explanation:

Answer: [tex]A=539\pi /16=105.8m^2[/tex]

Step-by-step explanation:

Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.

Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (21/2)^2[/tex]

[tex]A=441\pi /4[/tex]

Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:

[tex]d=21-3.5=17.5=35/2[/tex]

Therefore the radius is:

[tex]r=(35/2)/2=35/4[/tex]

Which means the area would be:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (35/4)^2[/tex]

[tex]A=1225\pi /16[/tex]

Therefore the shaded region is:

[tex]A=441\pi /4-1225\pi /16[/tex]

Get common denominators:

[tex]A=1764\pi /16-1225\pi /16[/tex]

[tex]A=539\pi /16[/tex]

Answer:

57mm

Step-by-step explanation:

Length of missing side= perimeter- known lengths

= 152mm- (30+20+45)mm

= (152 - 95)mm

= 57mm

Answer:

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

Correct choice is C

Let that be y

Option C

I don't know the answer so help

Answer:

280,280

Step-by-step explanation:

i believe you just multiply 45.5 times 5280

Step-by-step explanation:

[tex]1mile = 5280feet[/tex]

[tex]45.5miles = x[/tex]

[tex] \frac{45.5}{1} \times 5280[/tex]

[tex]x = 240240feet[/tex]

Answer: 65 Degrees

Hope this helps :)

If so brainliest would mean alot thanks!

Step-by-step explanation:

35/ 65 degrees

Pretty sure it's 65

Answer: 25 degrees

Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Answer:

See below ↓↓

Step-by-step explanation:

1. c║d

3. a║b

5. c║d

7. a║b

2. CACP

4. AICP

6. CACP

8. SSIASP

Answer:

a)   c ║ d    CACP

b)   a ║ b    AICP

c)   c ║ d    CACP

d)   a ║ b    SSIASP

Step-by-step explanation:

CACP - Corresponding Angles Congruent postulate

When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.

AICP - Alternate Angles Congruent postulate

When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .

SSIAS - Same Side Interior Angles Supplementary theorem

When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).

a)   c ║ d    CACP

The tranversal is line b

b)   a ║ b    AICP

The tranversal is line d

c)   c ║ d    CACP

The tranversal is line a

d)   a ║ b    SSIASP

The tranversal is line c

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

19

Step-by-step explanation:

18 + 1 = 19

-8 to 0 = 8

0 to 2 = 2

total change = 8 + 2 = 10 degrees

Answer:

43.56

Step-by-step explanation:

22 percent of 198 can be found by converting 22 percent into decimal form which is

22% = 0.22

because a 100% = 1

Then we can multiply 0.22 by 198

0.22*198 = 43.56

So the answer is 43.56

Hope this helps! :)

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 12 cm

Slant height (l) = 12.8 cm

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 12 * 12.8

Evaluate the product

L = 307.2

This is calculated using:

T = L + b^2

So, we have:

T = 307.2 + 12^2

Evaluate

T = 451.2

Hence, the total surface area is 451.2 square cm

Read more about areas at:

https://brainly.com/question/24487155

Answer:

integers are closed under division

Step-by-step explanation:

Integers are not closed under division.Let us consider two integers i and j.

Then  need not necessarily be an integer. For example, 2 and 3 are integers but  is not an integer. So the first option , namely, integers are closed under division is not true.

On the other hand, the remaining three options given are correct.

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Answer: 4n-7

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

hope this helps

Answer:

I believe 58

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rate of change

Rate of change

Since 6 > 5, the function B has greater rate of change in the given interval

Answer:

Function B

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

  [tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore: a = 2 and b = 4

Function A

From inspection of the given table:

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]

Function B

Given function: [tex]y=2^x+1[/tex]

[tex]\implies f(2)=2^2+1=5[/tex]

[tex]\implies f(4)=2^4+1=17[/tex]

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]

As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4